mmmmnn 


UC-NRLF 


Bq  5^3  bm 


n,  o.  :n^o.  200 


.TTTUDE,  AZIMUTH, 
and  LINE  OF  POSITION 


>MPR!SING  TABLES  FOR  WORKING  SIGHT  OF  HEAVFi^LY 
BODY  FOR  LINE  OF  POSITION  BY  'HIE  COSINE.HAVEBSINE 
FORMULA,  MAKCQ  SAINT  HILAIRE  METtiOD 

AQlJIN<yS  ALTITUDE  WO  AZ^MUTFl  IT^LES  FOR 
UNE  OF  POSITION,  MARCQ  SAINT  HILAIRE  METHOD 


CONTENTS 
Example  on  inside  df  cmm 

Tstbk      I.  G)rrection  fo  Ol^erved  Altitude  of  Sin,  Star,  cr  Planet 
Table      U.  Correclioft  to  Obiserved  Akitude  of  Mooc,  up|>er  limb,  ^f  • 
Table     ni.  Logaiithiric  Sinefr  aflil  Logarithrnic  Cofinos    .     .     « 
Tabk    IV,  Logaritarmc  !-2ayeii,ines  and  Natural  HaYeisme^  ,     , 
Table     V.  Th§  Finding  of  tie  Azim'jitlis      ,  .    »    , 

Expiaiialion  of  Atfjbo'c  Methoa     ...  ... 

Table  VI.  AquinoV  Sf^erical  Traverse  Table  .  .  ; .  ;  .  . ;-  . 
Table  Vli,  Change  of  Aldhide  per  Minute  of  Are  of  l-JoiBr  An^e  ^ 
Table  Vni.  Change  oi  Azimuth  per  Mi'sote  of  AJtiUide  ,  .  ,  , 
Table    IX.  ConveitiQMol  Am^Txme         .,...,    ^ 

PUKJSHED  BY  TKE  HYDROGRAPHIC  Ornca 
1  UNDER  THE  AUTOORmr  OF  THE 

r  SECRETARY  OF  THE  NAVY 

IThird  Rcpriatl 


WASHINGTON 
GOVEW^MEMT  HlifmKO  OFfJCf, 

191S 


3 


201. 
3  IS 

320 


v\ 


\. 


Example:  At  sea,  January  15,  1916,  about  8.30  a.  ra.,  in  Lat.  by  D.  R.  30°  10^  N.,  Long,  by  D.  R.  45°  15^  W., 
the  sextant  altitude  of  the  sun's  lower  limb,  bearing  sout^liward  and  eastward,  was  17°  40^  50^'.  Index  correc- 
tion+i"  OO-"-'  liright  of  eye,  29  feet.  Watch  time,  8^'  30"'  W;  C.-W.  3"  02"»  40».  Chronometer  slow  of  G.  M.  T., 
7"»  10^  Required:  The  altitude  difference  and  the  azimuth  for  laying  down  the  line  of  position  from  the  D.  K. 
position. 

Formula:  hav  2=hav  (L'~(/)+cos  L  cos  (/ ha V  f 
=hav  (L'^d)+hav  9 
Times.  Declination.  H.  D.  Eq.  of  T.  H.  D. 

gh  3om  iQ3  "       G.  M.  noon,  1c 

3    02    40  Jan.  15.     f 

______  (Jorr.  S. 


W.  T. 
C.-W. 


is.  21' 


18^ 
0 


N.  0' 

G.  M.  T. 


.  ii> 


Eq.  of  T. 
(-)toM.  T. 

ym    lis  4    ^   o» 

Corr.         — .3    — 


9 


C.  T. 

G.  C. 

G.  M.  T.  \ 
14th  Jan.; 
or  15th  Jan. 


11 


32    50 

7     10 


S.21     ]9'.0    Corr.  S.      0.1 


23    40    00 
-  0    20    00 


G.  M.  T. 
Long.  W. 


23    40    00 
3    01    00 


L.  M.  T.      '  20    39    00 
Eq.  ofT.    -  9     ILl 


L.  A.T. 


20, 
=  3 


29 
30 


48.9 

n.  1 


SOLUTION. 


L— N.  30°    lO'.O 
rf-S.    21      19.0 


ll.«l 


log  hav=9.  29213 
log  cos=9.  93680 
log   cos=9.  96922 


L'-N-'d* 


Calculated /i= 
Observed  h-Q- 

Alt.  diff.       = 


51°    29'.0 


©log  hav=9. 19815a 

e  nat  hav=  .  15782 
nathav=  .  18863 


17 
17 


06 
53 
49 


55 
05 
59 


nat  hav=  .  34645 


3'       06''=3^  1 


9-lLl    Corr.  0.3 

Altitude. 

By  obs.  17°  40'  50' 
Index  corr.  +  1  OU 
Tab.  I         +      8    09 


/j-e-17    49    59 


Azimuths.  51°  E.  from 
Table  V  [as  explained 
in  the  preface  to  that 
table]. 


a  Since  loparithraic  haversines  and  natural  haversines  an:  set  down  side  by  side  in  Table  IV,  the  natural  haversine  may  be  found  from 
the  logarithmic  haversine  without  taking  out  the  vahie  of  the  corresponding  angle. 

Example:  At  sea,  August  18, 1916,  in  the  early  morning,  in  Lat,  by  D.  R.  34°  10'  S.,  Long,  by  D.  R.  172°  26'  30' 
E.,  the  sextant  altitude  of  the  star  Sirius,  bearing  eastward,  was  25°  48'  50'^.  Index  correction  +3'  10".  Height 
of  eye  40  feet.  Watch  time  of  observation,  4'»  30™  15^  C.-W.,  0>'  29"^  45\  Chronometer  fast  of  G.  M.  T.,  13°»  40^ 
Required:  The  altitude  difference  and  the  azimuth  for  laying  down  the  line  of  position  from  the  D.  R.  position. 


Times. 

W.  T. 

4h  30°^  15» 

C.-W. 

0  29  45 

C.  T. 
C.  C. 

5 

00 
13 

00 
40 

G.  M.  T. 
17th  Aug. 
R.A.M.S. 

9 

46 
42 

20 
54.5 

G.  S.  T. 
Long.  E. 

14 
11 

29 
29 

14.5 

46 

L.  S.  T. 
R.  A.  star 

1 

6 

59 
41 

00.5 

28.2 

t=  4    42    27. 7 


[From  Nautical  Almanac] 
R.  A.  Star.  Dec.  star. 

Aug.    1<»  0^=(j^  41°^  27^  8        S.  16°  35'.  9 
Sept.   1     0  =6    41    28  . 6  16    35 . 8 

Aug.  17'^    S^^^e    41    28  .  2  16    35  .  8 


SOLUTION. 


t=  4"  42'»27^7 
L=S.  34°  10^  0 
d=S.       16  35.8 


log  hav=9.  52381 
log  cos=9.  91772 
log  cos=9.  08152 


elog  hav=9.  4230^ 


L~d= 


Calculated  h= 
Observed  /8>j< 

Alt.  diff. 


17°  34'.  2 

64°  56'  15" 
25    03    45 
25    43    48 


0  nat  hav=0.  26487 
nat  hav=0.  02333 


nat  hav=0.  28820 


40'  03"=40'.05 


R.  A.  mean  sun. 
Aug.  17^  0^=d^  42™  07«.5 
Reduction"!  n     ^r,  « 

forG.M.T.r  0    47.0 


R.A.M.S.     9    42  54.5 

Altitude. 

By  obs.       25°  48'  50" 

Index  corr.  +      3  10 


Table  I 


25    52    00 
-»      8    12 

71*25    43    48 


Azimuth  S.  86°  E.  from 
Table  V  [as  explained 
in  the  preface  to  that 
table]. 


TABLE  I 

GORRECTIONS  TO  BE  APPLIED  TO 

THE  OBSERVED  ALTITUDE  OF  THE 

SUN'S  LOWER  LIMB,  OR  OF  A 

STAR  OR  PLANET 


l^^h" 


^    ;^ 

Page  4] 

TABLE  I. 

Astren.  ( 

Corrections*  to  be  Applied  to  the  Observed  Altitude  of  a  Star 

or  of  the  Sun 'a 

Lower  Limb,  to  Find 

the  True  Altitude. 

Obs.  Alt. 

HEIGHT  OF  THE  EYE.                                                                               1 

8  Feet. 

9  Feet. 

10  Feet. 

11  Feet.          1 

12  Feet. 

13  Feet.          1 

O 

* 

O 

* 

O 

* 

O 

* 

O 

* 

O 

* 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

Star's 

Corr. 

Corr. 

Con. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

6  30 

5  29 

10  40 

5  19 

10  50 

5  09 

11  00 

5  00 

11  09 

4  51 

11  18 

4  43 

11  26 

40 

5  39 

10  30 

5  29 

10  40 

5  19 

10  50 

5  10 

10  59 

5  01 

11  08 

4  53 

11  16 

50 

5  49 

10  20 

5  39 

10  30 

5  29 

10  40 

5  20 

10  49 

5  11 

10  58 

5  03 

11  06 

7  00 

5  59 

10  10 

5  49 

10  20 

5  39 

10  30 

5  30 

10  39 

5  21 

10  48 

5  13 

10  56 

10 

6  08 

10  01 

5  58 

10  11 

5  48 

10  21 

5  39 

10  30 

5  30 

10  39 

5  22 

10  47 

20 

6  17 

9  52 

6  07 

10  02 

5  57 

10  12 

5  48 

10  21 

5  39 

10  30 

5  31 

10  38 

7  30 

6  26 

9  43 

6  16 

9  53 

6  06 

10  03 

5  57 

10  12 

5  48 

10  21 

5  40 

10  29 

40 

6  34 

9  35 

6  24 

9  45 

6  14 

9  55 

6  05 

10  04 

5  56 

10  13 

5  48 

10  21 

50 

6  42 

9  27 

6  32 

9  37 

6  22 

9  47 

6  13 

9  56 

6  04 

10  05 

5  56 

10  13 

8  00 

6  50 

9  19 

6  40 

9  29 

6  30 

9  39 

6  21 

9  48 

6  12 

9  57 

6  04 

10  05 

10 

6  57 

9  12 

6  47 

9  22 

6  37 

9  32 

6  28 

9  41 

6  19 

9  50 

6  11 

9  58 

20 

7  04 

9  05 

6  54 

9  15 

6  44 

9  25 

6  35 

9  34 

6  26 

9  43 

6  18 

9  51 

8  30 

7  11 

8  58 

7  01 

9  08 

6  51 

9  18 

6  42 

9  27 

6  33 

9  36 

6  25 

9  44 

40 

7  18 

8  51 

7  08 

9  01 

6  58 

9  11 

6  49 

9  20 

6  40 

9  29 

6  32 

9  37 

50 

7  24 

8  45 

7  14 

8  55 

7  04 

9  05 

6  55 

9  14 

6  46 

9  23 

6  38 

9  31 

9  00 

7  30 

8  39 

7  20 

8  49 

7  10 

8  59 

7  01 

9  08 

6  52 

9  17 

6  44 

9  25 

20 

7  42 

8  27 

7  32 

8  37 

7  22 

8  47 

7  13 

8  56 

7  04 

9  05 

6  56 

9  13 

40 

7  53 

8  16 

7  43 

8  26 

7  33 

8  36 

7  24 

8  45 

7  15 

8  54 

7  07 

9  02 

10  00 

8  04 

8  05 

7  54 

8  15 

7  44 

8  25 

7  35 

8  34 

7  26 

8  43 

7  18 

8  51 

20 

8  14 

7  55 

8  04 

8  05 

7  54 

8  15 

7  45 

8  24 

7  36 

8  33 

7  28 

8  41 

40 

8  23 

7  46 

8  13 

7  56 

8  03 

8  06 

7  54 

8  15 

7  45 

8  24 

7  37 

8  32 

11  00 

8  32 

7  37 

8  22 

7  47 

8  12 

7  57 

8  03 

8  06 

7  54 

8  15 

7  46 

8  23 

30 

8  44 

7  25 

8  34 

7  35 

8  24 

7  45 

8  15 

7  54 

8  06 

8  03 

7  58 

8  11 

12  00 

8  55 

7  14 

8  45 

7  24 

8  35 

7  34 

8  26 

7  43 

8  17 

7  52 

8  09 

8  00 

30 

9  06 

7  03 

8  56 

7  13 

8  46 

7  23 

8  37 

7  32 

8  28 

7  41 

8  20 

7  49 

13  00 

9  16 

6  53 

9  06 

7  03 

8  56 

7  13 

8  47 

7  22 

8  38 

7  31 

8  30 

7  39 

30 

9  25 

6  44 

9  15 

6  54 

9  05 

7  04 

8  56 

7  13 

8  47 

7  22 

8  39 

7  30 

14  00 

9  33 

6  36 

9  23 

6  46 

9  13 

6  56 

9  04 

7  05 

8  55 

7  14 

8  47 

7  22 

15  00 

9  49 

6  20 

9  39 

6  30 

9  29 

6  40 

9  20 

6  49 

9  11 

6  58 

9  03 

7  06 

16  00 

10  02 

6  07 

9  52 

6  17 

9  42 

6  27 

9  33 

6  36 

9  24 

6  45 

9  16 

6  53 

17  00 

10  15 

5  54 

10  05 

6  04 

9  55 

6  14 

9  46 

6  23 

9  37 

6  32 

9  29 

6  40 

18  00 

10  25 

5  44 

10  15 

5  54 

10  05 

6  04 

9  56 

6  13 

9  47 

6  22 

9  39 

6  30 

19  00 

10  35 

5  34 

10  25 

5  44 

10  15 

5  54 

10  06 

6  03 

9  57 

6  12 

9  49 

5  20 

20  00 

10  43 

5  25 

10  33 

5  35 

10  23 

5  45 

10  14 

5  54 

10  05 

6  03 

9  57 

6  11 

22  00 

10  59 

5  09 

10  49 

5  19 

10  39 

5  29 

10  30 

5  38 

10  21 

5  47 

10  13 

5  55 

24  00 

11  12 

4  56 

11  02 

5  06 

10  52 

5  16 

10  43 

5  25 

10  34 

5  34 

10  26 

5  42 

26  00 

11  23 

4  45 

11  13 

4  55 

11  03 

5  05 

10  54 

5  14 

10  45 

5  23 

10  37 

5  31 

28  00 

11  33 

4  35 

11  23 

4  45 

11  13 

4  55 

11  04 

5  04 

10  55 

5  13 

10  47 

5  21 

30  00 

11  41 

4  27 

11  31 

4  37 

11  21 

4  47 

11  12 

4  56 

11  03 

5  05 

10  55 

5  13 

32  00 

11  49 

4  19 

11  39 

4  29 

11  29 

4  39 

11  20 

4  48 

11  11 

4  57 

11  03 

5  05 

34  00 

11  56 

4  12 

11  46 

4  22 

11  36 

4  32 

11  27 

4  41 

11  18 

4  50 

11  10 

4  58 

36  00 

12  02 

4  06 

11  52 

4  16 

11  42 

4  26 

11  33 

4  35 

11  24 

4  44 

11  16 

4  52 

38  00 

12  07 

4  01 

11  57 

4  11 

11  47 

4  21 

11  38 

4  30 

11  29 

4  39 

11  21 

4  47 

40  00 

12  12 

3  55 

12  02 

4  05 

11  52 

4  15 

11  43 

4  24 

11  34 

4  33 

11  26 

4  41 

45  00 

12  23 

3  44 

12  13 

3  54 

12  03 

4  04 

11  54 

4  13 

11  45 

4  22 

11  37 

4  30 

50  00 

12  31 

3  35 

12  21 

3  45 

12  11 

3  55 

12  02 

4  04 

11  53 

4  13 

11  45 

4  21 

55  00 

12  38 

3  27 

12  28 

3  37 

12  18 

3  47 

12  09 

3  56 

12  00 

4  05 

11  52 

4  13 

60  00 

12  44 

3  20 

12  34 

3  30 

12  24 

3  40 

12  15 

3  49 

12  06 

3  58 

11  58 

4  06 

65  00 

12  51 

3  13 

12  41 

3  23 

12  31 

3  33 

12  22 

3  42 

12  13 

3  51 

12  05 

3  59 

70  00 

12  56 

3  07 

12  46 

3  17 

12  36 

3  27 

12  27 

3  36 

12  18 

3  45 

12  10 

3  53 

75  00 

13  00 

3  02 

12  50 

3  12 

12  40 

3  22 

12  31 

3  31 

12  22 

3  40 

12  14 

3  48 

80  00 

13  06 

2  56 

12  56 

3  06 

12  46 

3  16 

12  37 

3  25 

12  28 

3  34 

12  20 

3  42 

85  00 

13  10 

2  51 

13  00 

3  01 

12  50 

3  11 

12  41 

3  20 

12  32 

3  29 

12  24 

3  37 

90  00 

13  14 

2  46 

13  04 

2  56 

12  54 

3  06 

12  45 

3  15 

12  36 

3  24 

12  28 

3  32 

1 

Additio 

■^AL  COEB. 

Day 

of  month. 

Jan. 

Feb. 

Mar. 

Apr 

May. 

June. 

July. 

Aug. 

Sept. 

Oct. 

Nov. 

Dec. 

„ 

„ 

„ 

„ 

„ 

„ 

„ 

„ 

„ 

„ 

„ 

„ 

FOE  SC 

rs'9  Alt. 

l9t  1 

to  15th... 

+18 

+15 

+8 

0 

-  8 

-13 

-14 

-11 

-5 

+3 

+11 

+16 

16th 

to  3l8t.. 

+17 

+12 

+4 

-4 

-11 

-14 

-13 

-9 

-1 

+7 

+14 

+18 

*Thecc 

rrections  for  the  ob? 

erved  altitude  of  a  £ 

tar  or  Planet  involves  the  dip 

and  the  refraction; 

md  for  the  observed  altitude 

of  the  Sun 

's  lower  limb,  the  di 

p,  refraction,  paralls 

X,  and  mean  somidiameter,  w 

hich  is  taken  at  16'. 

A  supplementary  correction 

taking  ace 

ount  of  the  variatioi 

1  of  the  Sim's  semidi 

ameter  in  the  different  month. 

5  of  the  year  is  given 

at  the  foot  of  the  main  table. 

C3oa5A.CYN-6vvw     v->  JwViX" 


TABLE  I. 

[Page  5 

Corrections  to  be  Applied  to  the  ObBcrved  Altitude  of  a  Star  or  of  the  Sun'e 

the  True  Altitude — Continued. 

Lower  Limb,  to  Find 

Obs.  Alt. 

HEIGHT  OF  THE  EYE.                                                                            1 

14  Feet. 

15  Feet. 

16  Feet. 

17  Feet. 

18  Feet. 

19  Feet.         1 

O 
Sun's 
Corr. 
(+) 

* 
star's 
Corr. 
(-) 

O 
Sun's 
Corr. 
(+) 

* 
Star's 
Corr. 
(-) 

O 
Sun's 
Corr. 

(+) 

star's 
Corr. 
(-) 

O 
Sun's 
Corr. 

(+) 

* 
star's 
Corr. 

(-) 

O 
Sun's 
Corr. 
(+) 

* 
star's 
Corr. 
(-) 

O 
Sun's 
Corr. 

(+) 

* 
Star's 
Corr. 
(-) 

6  30 

4  35 

11  34 

4  27 

11  42 

4  20 

11  49 

4  13 

11  56 

4  06 

12  03 

3  59 

/     // 
12  10 

40 

4  45 

11  24 

4  37 

11  32 

4  30 

11  39 

4  23 

11  46 

4  16 

11  53 

4  09 

12  00 

50 

4  55 

11  14 

4  47 

11  22 

4  40 

11  29 

4  33 

11  36 

4  26 

11  43 

4  19 

11  50 

7  00 

5  05 

11  04 

4  57 

11  12 

4  50 

11  19 

4  43 

11  26 

4  36 

11  33 

4  29 

11  40 

10 

5  14 

10  55 

5  06 

11  03 

4  59 

11  10 

4  52 

11  17 

4  45 

11  24 

4  38 

11  31 

20 

5  23 

10  46 

5  15 

10  54 

5  08 

11  01 

5  01 

11  08 

4  54 

11  15 

4  47 

11  22 

7  30 

5  32 

10  37 

5  24 

10  45 

5  17 

10  52 

5  10 

10  59 

5  03 

11  06 

4  56 

11  13 

40 

5  40 

10  29 

5  32 

10  37 

5  25 

10  44 

5  18 

10  51 

5  11 

10  58 

5  04 

11  05 

50 

5  48 

10  21 

5  40 

10  29 

5  33 

10  36 

5  26 

10  43 

5  19 

10  50 

5  12 

10  57 

8  00 

5  56 

10  13 

5  48 

10  21 

5  41 

10  28 

5  34 

10  35 

5  27 

10  42 

5  20 

10  49 

10 

6  03 

10  06 

5  55 

10  14 

5  48 

10  21 

5  41 

10  28 

5  34 

10  35 

5  27 

10  42 

20 

6  10 

9  59 

6  02 

10  07 

5  55 

10  14 

5  48 

10  21 

5  41 

10  28 

5  34 

10  35 

8  30 

6  17 

9  52 

6  09 

10  00 

6  02 

10  07 

5  55 

10  14 

5  48 

10  21 

5  41 

10  28 

40       6  24 

9  45 

6  16 

9  53 

6  09 

10  00 

6  02 

10  07 

5  55 

10  14 

5  48 

10  21 

50 

6  30 

9  39 

6  22 

9  47 

6  15 

9  54 

6  08 

10  01 

6  01 

10  08 

5  54 

10  15 

9  00 

6  36 

9  33 

6  28 

9  41 

6  21 

9  48 

6  14 

9  55 

6  07 

10  02 

6  00 

10  09 

20 

6  48 

9  21 

6  40 

9  29 

6  33 

9  36 

6  26 

9  43 

6  19 

9  50 

6  12 

9  57 

40 

6  59 

9  10 

6  51 

9  18 

6  44 

9  25 

6  37 

9  32 

6  30 

9  39 

6  23 

9  46 

10  00 

7  10 

8  59 

7  02 

9  07 

6  55 

9  14 

6  48 

9  21 

6  41 

9  28 

6  34 

9  35 

20 

7  20 

8  49 

7  12 

8  57 

7  05 

9  04 

6  58 

9  11 

6  51 

9  18 

6  44 

9  25 

40 

7  29 

8  40 

7  21 

8  48 

7  14 

8  55 

7  07 

9  02 

7  00 

9  09 

6  53 

9  16 

11  00 

7  38 

8  31 

7  30 

8  39 

7  23 

8  46 

7  16 

8  53 

7  09 

9  00 

7  02 

9  07 

30 

7  50 

8  19 

7  42 

8  27 

7  35 

8  34 

7  28 

8  41 

7  21 

8  48 

7  14 

8  55 

12  00 

8  01 

8  08 

7  53 

8  16 

7  46 

8  23 

7  39 

8  30 

7  32 

8  37 

7  25 

8  44 

30 

8  12 

7  57 

8  04 

8  05 

7  57 

8  12 

7  50 

8  19 

7  43 

8  26 

7  36 

8  33 

13  00 

8  22 

7  47 

8  14 

7  55 

8  07 

8  02 

8  00 

8  09 

7  53 

8  16 

7  46 

8  23 

30 

8  31 

7  38 

8  23 

7  46 

8  16 

7  53 

8  09 

8  00 

8  02 

8  07 

7  55 

8  14 

14  00 

8  39 

7  30 

8  31 

7  38 

8  24 

7  45 

8  17 

7  52 

8  10 

7  59 

8  03 

8  06 

15  00 

8  55 

7  14 

8  47 

7  22 

8  40 

7  29 

8  33 

7  36 

8  26 

7  43 

8  19 

7  50 

16  00 

9  08 

7  01 

9  00 

7  09 

8  53 

7  16 

8  46 

7  23 

8  39 

7  30 

8  32 

7  37 

17  00 

9  21 

6  48 

9  13 

6  56 

9  06 

7  03 

8  59 

7  10 

8  52 

7  17 

8  45 

7  24 

18  00 

9  31 

6  38 

9  23 

6  46 

9  16 

6  53 

9  09 

7  00 

9  02 

7  07 

8  55 

7  14 

19  00 

9  41 

6  28 

9  33 

6  36 

9  26 

6  43 

9  19 

6  50 

9  12 

6  57 

9  05 

7  04 

20  00 

9  49 

6  19 

9  41 

6  27 

9  34 

6  34 

9  27 

6  41 

9  20 

6  48 

9  13 

6  55 

22  00 

10  05 

6  03 

9  57 

6  11 

9  50 

6  18 

9  43 

6  25 

9  36 

6  32 

9  29 

6  39 

24  00 

10  18 

5  50 

10  10 

5  58 

10  03 

6  05 

9  56 

6  12 

9  49 

6  19 

9  42 

6  26 

26  00 

10  29 

5  39 

10  21 

5  47 

10  14 

5  54 

10  07 

6  01 

10  00 

6  08 

9  53 

6  15 

28  00 

10  39 

5  29 

10  31 

5  37 

10  24 

5  44 

10  17 

5  51 

10  10 

5  58 

10  03 

6  05 

30  00 

10  47 

5  21 

10  39 

5  29 

10  32 

5  36 

10  25 

5  43 

10  18 

5  50 

10  11 

5  57 

32  00 

10  55 

5  13 

10  47 

5  21 

10  40 

5  28 

10  33 

5  35 

10  26 

5  42 

10  19 

5  49 

34  00 

11  02 

5  06 

10  54 

5  14 

10  47 

5  21 

10  40 

5  28 

10  33 

5  35 

10  26 

5  42 

36  00 

11  08 

5  00 

11  00 

5  08 

10  53 

5  15 

10  46 

5  22 

10  39 

5  29 

10  32 

5  36 

38  00 

11  13 

4  55 

11  05 

5  03 

10  58 

5  10 

10  51 

5  17 

10  44 

5  24 

10  37 

5  31 

40  00 

11  18 

4  49 

11  10 

4  57 

11  03 

5  04 

10  56 

5  11 

10  49 

5  18 

10  42 

5  25 

45  00 

11  29 

4  38 

11  21 

4  46 

11  14 

4  53 

11  07 

5  00 

11  00 

5  07 

10  53 

5  14 

50  00 

11  37 

4  29 

11  29 

4  37 

11  22 

4  44 

11  15 

4  51 

11  06 

4  58 

11  01 

5  05 

55  00 

11  44 

4  21 

11' 36 

4  29 

11  29 

4  36 

11  22 

4  43 

11  15 

4  50 

11  08 

4  57 

60  00 

11  50 

4  14 

11  42 

4  22 

11  35 

4  29 

11  28 

4  36 

11  21 

4  43 

11  14 

4  50 

65  00 

11  57 

4  07 

11  49 

4  15 

11  42 

4  22 

11  35 

4  29 

11  28 

4  36 

11  21 

4  43 

70  00 

12  02 

4  01 

11  54 

4  09 

11  47 

4  16 

11  40 

4  23 

11  33 

4  30 

11  26 

4  37 

75  00 

12  06 

3  56 

11  58 

4  04 

11  51 

4  11 

11  44 

4  18 

11  37 

4  25 

11  30 

4  32 

80  00 

12  12 

3  50 

12  04 

3  58 

11  57 

4  05 

11  50 

4  12     11  43 

4  19 

11  36 

4  26 

85  00 

12  16 

3  45 

12  08 

3  53     12  01 

4  00 

11  54 

4  07     11  47 

4  14 

11  40 

4  21 

90  00 

12  20 

3  40 

12  12 

3  48     12  05 

3  55 

11  58 

4  02     11  51 

4  09 

11  44 

4  16  1 

1 

Additional  Core. 

Day  of  Month. 

Jan. 

Feb. 

Mar. 

Apr. 

May.    i 

rune. 

July. 

Aug. 

Sept. 

Oct. 

Nov. 

Dec, 

// 

// 

// 

// 

// 

// 

// 

// 

// 

// 

It 

» 

FOE  Sun's  Alt, 

lstt< 
16th 

)15th... 
to  31st.. 

.+18 
.+17 

+15 
+12 

+8 
+4 

0 

-4 

-8    - 
-11    - 

-13 
-14 

-14 
-13 

-11 
-  9 

-5 
-1 

+3 

+7 

+11 

+14 

+16 
+18 

*  The  corrections  for  the  obs 
of  the  Sun's  lower  lunb,  the  dip 
taking  account  of  the  variation 

erved  altitude  of  a  Star  or  Planet  involves  the  dip  and  the  refraction; 
,  refraction,  parallax,  and  mean  seinidiameter,  which  is  taken  as  16'. 
of  the  Sun's  semidiameter  in  the  difierent  months  of  the  year  is  given 

md  for  the  observed  altitude 
A  supplementary  correction 
it  the  foot  of  the  main  table. 

380074 


Page  6] 

TABLE  I. 

Corrections  to  be  Applied  to  the  Observed  Altitude  of  a  Star 

or  of  the  Sun's 

Lower  Limb,  to  Find 

the  True  Altitude — Continued. 

Ob9.  Alt. 

HEIGHT  OF  THK  EYE.                                                                            1 

20  Feet. 

21  Feet. 

22  Feet. 

23  Feet. 

24  Feet. 

25  Feet.         1 

O 

* 

O 

* 

O 

* 

G 

* 

O 

* 

O 

* 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

star's 

Sun's 

Star's 

Sun's 

star's 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

0       / 

6  30 

3  52 

12  17 

3  46 

/     // 
12  23 

3  39 

12  30 

3  33 

12  36 

3  27 

12  42 

3  21 

12  48 

40 

4  .2 

12  07 

3  56 

12  13 

3  49 

12  20 

3  43 

12  26 

3  37 

12  32 

3  31 

12  38 

50 

4  12 

11  57 

4  06 

12  03 

3  59 

12  10 

3  53 

12  16 

3  47 

12  22 

3  41 

12  28 

7  00 

4  22 

11  47 

4  16 

11  53 

4  09 

12  00 

4  03 

12  06 

3  57 

12  12 

3  51 

12  18 

10 

4  31 

11  38 

4  25 

11  44 

4  18 

11  51 

4  12 

11  57 

4  06 

12  03 

4  00 

12  09 

20 

4  40 

11  29 

4  34 

11  35 

4  27 

11  42 

4  21 

11  48 

4  15 

11  54 

4  09 

12  00 

7  30 

4  49 

11  20 

4  43 

11  26 

4  36 

11  33 

4  30 

11  39 

4  24 

11  45 

4  18 

11  51 

40 

4  57 

11  12 

4  51 

11  18 

4  44 

11  25 

4  38 

11  31 

4  32 

11  37 

4  26 

11  43 

50 

5  05 

11  04 

4  59 

11  10 

4  52 

11  17 

4  46 

11  23 

4  40 

11  29 

4  34 

11  35 

8  00 

5  13 

10  56 

5  07 

11  02 

5  00 

11  09 

4  54 

11  15 

4  48 

11  21 

4  42 

11  27 

10 

5  20 

10  49 

5  14 

10  55 

5  07 

11  02 

5  01 

11  08 

4  55 

11  14 

4  49 

11  20 

20 

5  27 

10  42 

5  21 

10  48 

5  14 

10  55 

5  08 

11  01 

5  02 

11  07 

4  56 

11  13 

8  30 

5  34 

10  35 

5  28 

10  41 

5  21 

10  48 

5  15 

10  54 

5  09 

11  00 

5  03 

11  06 

40 

5  41 

10  28 

5  35 

10  34 

5  28 

10  41 

5  22 

10  47 

5  16 

10  53 

5  10 

10  59 

50 

5  47 

10  22 

5  41 

10  28 

5  34 

10  35 

5  28 

10  41 

5  22 

10  47 

5  16 

10  53 

9  00 

5  53 

10  16 

5  47 

10  22 

5  40 

10  29 

5  34 

10  35 

5  28 

10  41 

5  22 

10  47 

20 

6  05 

10  04 

5  59 

10  10 

5  52 

10  17 

5  46 

10  23 

5  40 

10  29 

5  34 

10  35 

40 

6  16 

9  53 

6  10 

9  59 

6  03 

10  06 

5  57 

10  12 

5  51 

10  18 

5  45 

10  24 

10  00 

6  27 

9  42 

6  21 

9  48 

6  14 

9  55 

6  08 

10  01 

6  02 

10  07 

5  56 

10  13 

20 

6  37 

9  32 

6  31 

9  38 

6  24 

9  45 

6  18 

9  51 

6  12 

9  57 

6  06 

10  03 

40 

6  46 

9  23 

6  40 

9  29 

6  33 

9  36 

6  27 

9  42 

6  21 

9  48 

6  15 

9  54 

11  00 

6  55 

9  14 

6  49 

9  20 

6  42 

9  27 

6  36 

9  33 

6  30 

9  39 

6  24 

9  45 

30 

7  07 

9  02 

7  01 

9  08 

6  54 

9  15' 

6  48 

9  21 

6  42 

9  27 

6  36 

9  33 

12  00 

7  18 

8  51 

7  12 

8  57 

7  05 

9  04 

6  59 

9  10 

6  53 

9  16 

6  47 

9  22 

30 

7  29 

8  40 

7  23 

8  46 

7  16 

8  53 

7  10 

8  59 

7  04 

9  05 

6  58 

9  11 

13  00 

7  39 

8  30 

7  33 

8  36 

7  26 

8  43 

7  20 

8  49 

7  14 

8  55 

7  08 

9  01 

30 

7  48 

8  21 

7  42 

8  27 

7  35 

8  34 

7  29 

8  40 

7  23 

8  46 

7  17 

8  52 

14  00 

7  56 

8  13 

7  60 

8  19 

7  43 

8  26 

7  37 

8  32 

7  31 

8  38 

7  25 

8  44 

15  00 

8  12 

7  57 

8  06 

8  03 

7  59 

8  10 

7  53 

8  16 

7  47 

8  22 

7  41 

8  28 

16  00 

8  25 

7  44 

8  19 

7  50 

8  12 

7  57 

8  06 

8  03 

8  00 

8  09 

7  54 

8  15 

17  00 

8  38 

7  31 

8  32 

7  37 

8  25 

7  44 

8  19 

7  50 

8  13 

7  56 

8  07 

8  02 

18  00 

8  48 

7  21 

8  42 

7  27 

8  35 

7  34 

8  29 

7  40 

8  23 

7  46 

8  17 

7  52 

19  00 

8  58 

7  11 

8  52 

7  17 

8  45 

7  24 

8  39 

7  30 

8  33 

7  36 

8  27 

7  42 

20  00 

9  06 

7  02 

9  00 

7  08 

8  53 

7  15 

8  47 

7  21 

8  41 

7  27 

8  35 

7  33 

22  00 

9  22 

6  46 

9  16 

6  52 

9  09 

6  59 

9  03 

7  05 

8  57 

7  11 

8  51 

7  17 

24  00 

9  35 

6  33 

9  29 

6  39 

9  22 

6  46 

9  16 

6  52 

9  10 

6  58 

9  04 

7  04 

26  00 

9  46 

6  22 

9  40 

6  28 

9  33 

6  35 

9  27 

6  41 

9  21 

6  47 

9  15 

6  53 

28  00 

9  56 

6  12 

9  50 

6  18 

9  43 

6  25 

9  37 

6  31 

9  31 

6  37 

9  25 

6  43 

30  00 

10  04 

6  04 

9  58 

6  10 

9  51 

6  17 

9  45 

6  23 

9  39 

6  29 

9  33 

6  35 

32  00 

10  12 

5  56 

10  06 

6  02 

9  59 

6  09 

9  53 

6  15 

9  47 

6  21 

9  41 

6  27 

34  00 

10  19 

5  49 

10  13 

5  55 

10  06 

6  02 

10  00 

6  08 

9  54 

6  14 

9  48 

6  20 

36  00 

10  25 

5  43 

10  19 

5  49 

10  12 

5  56 

10  06 

6  02 

10  00 

6  08 

9  54 

6  14 

38  00 

10  30 

5  38 

10  24 

5  44 

10  17 

5  51 

10  11 

5  57 

10  05 

6  03 

9  59 

6  09 

40  00 

10  35 

5  32 

10  29 

5  38 

10  22 

5  45 

10  16 

5  51 

10  10 

5  57 

10  04 

6  03 

45  00 

10  46 

5  21 

10  40 

5  27 

10  33 

5  34 

10  27 

5  40 

10  21 

5  46 

10  15 

5  52 

50  00 

10  54 

5  12 

10  48 

5  18 

10  41 

5  25 

10  35 

5  31 

10  29 

5  37 

10  23 

5  43 

55  00 

11  01 

5  04 

10  55 

5  10 

10  48 

5  17 

10  42 

5  23 

10  36 

5  29 

10  30 

5  35 

60  00 

11  07 

4  57 

11  01 

5  03 

10  54 

5  10 

10  48 

5  16 

10  42 

5  22 

10  36 

5  28 

65  00 

11  14 

4  50 

11  08 

4  56 

11  01 

5  03 

10  55 

5  09 

10  49 

5  15 

10  43 

5  21 

70  00 

11  19 

4  44 

11  13 

4  50 

11  06 

4  57 

11  00 

5  03 

10  54 

5  09 

10  48 

5  15 

75  00 

11  23 

4  39 

11  17 

4  45 

11  10 

4  52 

11  04 

4  58 

10  58 

5  04 

10  52 

5  10 

80  00 

11  29 

4  33 

11  23 

4  39 

11  16 

4  46 

11  10 

4  52 

11  04 

4  58 

10  58 

5  04 

85  00 

11  33 

4  28 

11  27 

4  34 

11  20 

4  41 

11  14 

4  47 

11  08 

4  53 

11  02 

4  59 

90  00 

11  37 

4  23 

11  31 

4  29 

11  24 

4  36 

11  18 

4  42 

11  12 

4  48 

11  06 

4  54 

1 

Addihoi 

UL  Core. 

Day  of  Month. 

Jan. 

Feb. 

Mar. 

Apr 

May. 

June. 

July.    Aug. 

Sept. 

Oct. 

Nov. 

Dec. 

// 

// 

„ 

// 

// 

// 

//          tt 

« 

It 

n 

,, 

Foa  So 

N's  Alt. 

Istt 

ol5th.... 

+18 

+15 

f-8 

0 

-8 

-13 

-14 

-11 

-5 

+3 

+11 

+16 

16th 

to  31st... 

+17 

+12 

f-4 

-4 

-11 

-14 

-13 

-  9 

-1 

+7 

+14 

+18 

*Theo 

orrections  for  the  oh 

served  altitude  of  a  J 

3taror  Ph 

met  involves  the  dir 

>  and  the  refraction; 

and  for  the  observed  altitude 

of  the  Sun 

s  lower  lunb,  the  dl 

p,  refraction,  paralla 

X,  and  ni( 

jan  semidiameter,  w 

hichistakenasl6'. 

A  supplementary  correction 
at  the  foot  of  the  main  table. 

taking  aco 

}UQt  of  the  variatiot 

1  of  the  Sun's  semidi 

ameter  in 

the  different  month 

s  of  the  year  is  given 

TABLE  I. 

[Page  7  1 

Corrections* 

to  be  Applied  to  the  Observed  Altitude  of  a  Star  or  of  the  Sun's  Lower  Limb, 
the  True  Altitude — Continued. 

to  Find 

Obs.  Alt. 

HEIGHT  OF  THE  EYE.                                                                           1 

26  Feet. 

27  Feet. 

28  Feet. 

29  Feet. 

30  Feet.            1 

Sun's 
Corr. 
(+) 

* 

Star's 

Corr. 

(-) 

Sun's 
Corr. 
(+) 

* 

star's 
Corr. 
(-) 

Sim's 
Corr. 
(+) 

* 

Star's 

Corr. 

(-) 

Sun's 
Corr. 
(+) 

* 
star's 
Corr. 

(-) 

Sun's 
Corr. 
(  +  ) 

* 

star's 
Corr. 
(-) 

e       / 

6  30 

3  15 

12  54 

3  09 

13  00 

3  04 

13  05 

2  58 

13  11 

2  53 

/       n 

13  16 

40 

3  25 

12  44 

3  19 

12  50 

3  14 

12  55 

3  08 

13  01 

3  03 

13  06 

50 

3  35 

12  34 

3  29 

12  40 

3  24 

12  45 

3  18 

12  51 

3  13 

12  56 

7  00 

3  45 

12  24 

3  39 

12  30 

3  34 

12  35 

3  28 

12  41 

3  23 

12  46 

10 

3  54 

12  15 

3  48 

12  21 

3  43 

12  26 

3  37 

12  32 

3  32 

12  37 

20 

4  03 

12  06 

3  57 

12  12 

3  52 

12  17 

3  46 

12  23 

3  41 

12  28 

7  30 

4  12 

11  57 

4  06 

12  03 

4  01 

12  08 

3  55 

12  14 

3  50 

12  19 

40 

4  20 

11  49 

4  14 

11  55 

4  09 

12  00 

4  03 

12  06 

3  58 

12  11 

50 

4  28 

11  41 

4  22 

11  47 

4  17 

11  52 

4  11 

11  58 

4  06 

12  03 

8  00 

4  36 

11  33 

4  30 

11  39 

4  25 

11  44 

4  19 

11  50 

4  14 

11  55 

10 

4  43 

11  26 

4  37 

11  32 

4  32 

11  37 

4  26 

11  43 

4  21 

11  48 

20 

4  50 

11  19 

4  44 

11  25 

4  39 

11  30 

4  33 

11  36 

4  28 

11  41 

8  30 

4  57 

11  12 

4  51 

11  18 

4  46 

11  23 

4  40 

11  29 

4  35 

11  34 

40 

5  04 

11  05 

4  58 

11  11 

4  53 

11  16 

4  47 

11  22 

4  42 

11  27 

50 

5  10 

10  59 

5  04 

11  05 

4  59 

11  10 

4  53 

11  16 

4  48 

11  21 

9  00 

5  16 

10  53 

5  10 

10  59 

5  05 

11  04 

4  59 

11  10 

4  54 

11  15 

20 

5  28 

10  41 

5  22 

10  47 

5  17 

10  52 

5  11 

10  58 

5  06 

11  03 

40 

5  39 

10  30 

5  33 

10  36 

5  28 

10  41 

5  22 

10  47 

5  17 

10  52 

10  00 

5  50 

10  19 

5  44 

10  25 

5  39 

10  30 

5  33 

10  36 

5  28 

10  41 

20 

6  00 

10  09 

5  54 

10  15 

5  49 

10  20 

5  43 

10  26 

5  38 

10  31 

40 

6  09 

10  00 

6  03 

10  06 

5  58 

10  11 

5  52 

10  17 

5  47 

10  22 

11  00 

6  18 

9  51 

6  12 

9  57 

6  07 

10  02 

6  01 

10  08 

5  56 

10  13 

30 

6  30 

9  39 

6  24 

9  45 

6  19 

9  50 

6  13 

9  56 

6  08 

10  01 

12  00 

6  41 

9  28 

6  35 

9  34 

6  30 

9  39 

6  24 

9  45 

6  19 

9  50 

30 

6  52 

9  17 

6  46 

9  23 

6  41 

9  28 

6  35 

9  34 

6  30 

9  39 

13  00 

7  02 

9  07 

6  56 

9  13 

6  51 

9  18 

6  45 

9  24 

6  40 

9  29 

30 

7  11 

8  58 

7  05 

9  04 

7  00 

9  09 

6  54 

9  15 

6  49 

9  20 

14  00 

7  19 

8  50 

7  13 

8  56 

7  08 

9  01 

7  02 

9  07 

6  57 

9  12 

15  00 

7  35 

8  34 

7  29 

8  40 

7  24 

8  45 

7  18 

8  51 

7  13 

8  56 

16  00 

7  48 

8  21 

7  42 

8  27 

7  37 

8  32 

7  31 

8  38 

7  26 

8  43 

17  00 

8  01 

8  08 

7  55 

8  14 

7  50 

8  19 

7  44 

8  25 

7  39 

8  30 

18  00 

8  11 

7  58 

8  05 

8  04 

8  00 

8  09 

7  54 

8  15 

7  49 

8  20 

19  00 

8  21 

7  48 

8  15 

7  54 

8  10 

7  59 

8  04 

8  05 

7  59 

8  10 

20  00 

8  29 

7  39 

8  23 

7  45 

8  18 

7  50 

8  12 

7  56 

8  07 

8  01 

22  00 

8  45 

7  23 

8  39 

7  29 

8  34 

7  34 

8  28 

7  40 

8  23 

7  45 

24  00 

8  58 

7  10 

8  52 

7  16 

8  47 

7  21 

8  41 

7  27 

8  36 

7  32 

26  00 

9  09 

6  59 

9  03 

7  05 

8  58 

7  10 

8  52 

7  16 

8  47 

7  21 

28  00 

9  19 

6  49 

9  13 

6  55 

9  08 

7  00 

9  02 

7  06 

8  57 

7  11 

30  00 

9  27 

6  41 

9  21 

6  47 

9  16 

6  52 

9  10 

6  58 

9  05 

7  03 

32  00 

9  35 

6  33 

9  29 

6  39 

9  24 

6  44 

9  18 

6  50 

9  13 

6  55 

34  00 

9  42 

6  26 

9  36 

6  32 

9  31 

6  37 

9  25 

6  43 

9  20 

6  43 

36  00 

9  48 

6  20 

9  42 

6  26 

9  37 

6  31 

9  31 

6  37 

9  26 

6  42 

38  00 

9  53 

6  15 

9  47 

6  21 

9  42 

6  26 

9  36 

6  32 

9  31 

6  37 

40  00 

9  58 

6  09 

9  52 

6  15 

9  47 

6  20 

9  41 

6  26 

9  36 

6  31 

45  00 

10  09 

5  58 

10  03 

6  04 

9  58 

6  09 

9  52 

6  15 

9  47 

6  20 

50  00 

10  17 

5  49 

10  11 

5  55 

10  06 

6  00 

10  00 

6  06 

9  55 

6  11 

55  00 

10  24 

5  41 

10  18 

5  47 

10  13 

5  52 

10  07 

5  58 

10  02 

6  03 

60  00 

10  30 

5  34 

10  24 

5  40 

10  19 

5  45 

10  13 

5  51 

10  08 

5  56 

65  00 

10  37 

5  27 

10  31 

5  33 

10  26 

5  38 

10  20 

5  44 

10  15 

5  49 

70  00 

10  42 

5  21 

10  36 

5  27 

10  31 

5  32 

10  25 

5  38 

10  20 

5  43 

75  00 

10  46 

5  16 

10  40 

5  22 

10  35 

5  27 

10  29 

5  33 

10  24 

5  38 

80  00 

10  52 

5  10 

10  46 

5  16 

10  41 

5  21 

10  35 

5  27 

10  30 

5  32 

85  00 

10  56 

5  05 

10  50 

5  11 

10  45 

5  16 

10  39 

5  22 

10  34 

5  27 

90  00 

11  00 

5  00 

10  54 

5  06 

10  49 

5  11 

10  43 

5  17 

10  38 

5  22 

1 

ADDrnONAL  Co 

BB. 

Da 

y  of  Month 

Jan. 

Feb. 

Mai 

.     Apr.    1 

klay. 

June 

July. 

Aug. 

Sept. 

Oct. 

Nov. 

Dec. 

// 

/' 

/ 

// 

// 

» 

>f 

// 

// 

f 

/' 

" 

FOB  Sun's  Ai 

-T. 

1st 
16t 

to  15th.. 
hto3l8t. 

..+18    ■ 

.-1+17    - 

+15 
fl2 

+e 

\         0    - 

[      -4    - 

-  8 
-11 

-13 

-14 

-14 
-13 

-11 
-  9 

-5 
-1 

+3 

+7 

+] 
+  ] 

11 

L4 

+16 

+18 

♦The  correct] 
of  the  Sun's  lowei 
taking  account  of 

ons  for  the 
■  limb,  the 
the  variati 

abserved  al 
Jip.refracti 
an  of  the  Si 

titudeofaS 
on,  parallax 
in'ssemidia 

tar  or  Planet  involves  the  dip  and  the  refraction;  and  for 
c,  and  mean  semidiameter,  which  is  taken  as  16'.    A  supp 
oneter  in  the  different  months  of  the  year  is  given  at  the  fc 

the  observe 
lementary 
tot  of  the  m 

d  altitude 
correction 
lain  table. 

Page  8] 


TABLE  I. 


Corrrectiona  to  be  Applied  to  the  Observed  Altitude  of  a  Star  or  of  the  Sun's  Lower  Limb,  to  Find 

the  True  Altitude — Continued. 


Ob8.  Alt. 


6  30 
40 
50 

7  00 
10 
20 

7  30 
40 
50 

8  00 
10 
20 

8  30 
40 
50 

9  00 
20 
40 

10  00 
20 
40 

11  00 
30 

12  00 
30 

13  00 
30 

14  00 

15  00 

16  00 

17  00 

18  00 

19  00 

20  00 
22  00 
24  00 
26  00 
28  00 
30  00 
32  00 
34  00 
36  00 
38  00 
40  00 
45  00 
50  00 
55  00 
60  00 
65  00 
70  00 
75  00 
80  00 
85  00 
90  00 


HEIGHT  OF  THE  EYE. 


31  Feet. 


O 
Sun's 
Corr. 

(+) 


48 
58 
08 
18 
27 
36 
45 
53 
01 
09 
16 
23 
30 
37 
43 
49 
01 
12 
23 
33 
42 
51 
03 
14 
6  25 
6  35 
6  44 
6  52 


star's 
Corr. 
(-) 


08 
21 
34 
44 
54 
8  02 
8  18 
8  31 
8  42 

8  52 

9  00 
9  08 
9  15 
9  21 
9  26 
9  31 
9  42 
9  50 
9  57 

10  03 
10  10 
10  15 
10  19 
10  25 
10  29 
10  33 


13  21 

13  11 

13  01 

12  51 

12  42 

12  33 

12  24 

12  16 

12  08 

12  00 

11  53 

11  46 

11  39 

11  32 

11  26 

11  20 

11  08 

10  57 

10  46 

10  36 

10  27 

10  18 

10  06 

9  55 

9  44 

9  34 

9  25 

9  17 

9  01 

8  48 

8  35 

8  25 

8  15 

8  06 


32  Feet. 


Sun's 
Corr. 
(+) 


6  53 

6  47 

6  42 

6  36 

6  25 

6  16 

6  08 

6  01 

54 

48 

43 

37 

32 

27 


star's 
Corr. 
(-) 


6  08 
6  19 
6  29 
6  38 
6  46 


8  12 
8  25 
8  36 
8  46 

8  54 

9  02 
9  09 
9  15 
9  20 
9  25 
9  36 
9  44 
9  51 
9  57 

10  04 
10  09 
10  13 
10  19 
10  23 
10  27 


13  27 

13  17 

13  07 

12  57 

12  48 

12  39 

12  30 

12  22 

12  14 

12  06 

11  59 

11  52 

11  45 

11  38 

11  32 

11  26 

11  14 

11  03 

10  52 

10  42 

10  33 

10  24 

10  12 

10  01 

9  50 

9  40 

9  31 

9  23 

9  07 

8  54 

8  41 

8  31 

8  21 

8  12 


33  Feet. 


O 
Sun's 
Corr. 
(+) 


56 

43 

32 

22 

14 

06 

6  59 

6  53 

6  48 

6  42 

6  31 

6  22 

6  14 

07 

00 

54 

49 

43 

38 

33 


star's 
Corr. 
(-) 


4  32 

4  38 

4  50 

5  01 

5  12 

5  22 

5  31 

5  40 

5  52 

6  03 

6  14 

6  24 

6  33 

6  41 

6  57 

7  10 

7  23 

7  33 

7  43 

7  51 

8  07 

8  20 

8  31 

8  41 

8  49 

8  57 

9  04 

9  10 

9  15 

9  20 

9  31 

9  39 

9  46 

9  52 

9  59 

10  04 

10  08 

10  14 

10  18 

10  22 

13  32 

13  22 

13  12 

13  02 

12  53 

12  44 

12  35 

12  27 

12  19 

12  11 

12  04 

11  57 

11  50 

11  43 

11  37 

11  31 

11  19 

11  08 

10  57 

10  47 

10  38 

10  29 

10  17 

10  06 

9  55 

9  45 

9  36 

9  28 

9  12 

8  59 

8  46 

8  36 

8  26 

8  17 

8  01 


34  Feet. 


Sun's 
Corr. 
(+) 


6  58 
6  53 
6  47 
6  36 
6  27 
6  19 
6  12 
6  05 


32 
42 
52 
02 
11 
20 
29 
37 
45 
53 
00 
07 
14 
21 
27 
33 
45 
56 
07 
17 
26 
35 
47 
58 
09 
6  19 
6  28 
6  36 
52 
05 
18 
28 
38 
46 
8  02 
8  15 
8  26 
8  36 
8  44 
8  52 

8  59 

9  05 
9  10 
9  15 
9  26 
9  34 
9  41 
9  47 
9  54 
9  59 

10  03 
10  09 
10  13 
10  17 


Star's 
Corr. 
(-) 


13  37 

13  27 

13  17 

13  07 

12  58 

12  49 

12  40 

12  32 

12  24 

12  16 

12  09 

12  02 

11  55 

11  48 

11  42 

11  36 

11  24 

11  13 

11  02 

10  52 

10  43 

10  34 

10  22 

10  11 

10  00 

9  50 

9  41 

9  33 

9  17 

9  04 

8  51 

8  41 

8  31 

8  22 


35  Feet. 


8  06 
7  53 
7  42 
7  32 
7  24 
7  16 
7  09 
7  03 
6  58 
6  52 
6  41 
6  32 
6  24 
6  17 
6  10 
6  04 
5  59 
5  53 
5  48 
5  43 


O 
Sun's 
Corr. 

(+) 


27 
37 
47 
57 
06 
15 
24 
32 
40 
48 
55 
02 
09 
16 
22 
28 
40 
51 
02 
12 
5  21 
5  30 
5  42 

5  53 

6  04 
6  14 
6  23 
6  31 

6  47 

7  00 
7  13 
7  23 
7  33 
7  41 

7  57 

8  10 
8  21 
8  31 
S  39 
8  47 

8  54 

9  00 
9  05 
9  10 
9  21 
9  29 
9  36 
9  42 
9  49 
9  54 
9  58 

10  04 
10  08 
10  12 


Star's 
Corr. 
(-) 


13  42 

13  32 

13  22 

13  12 

13  03 

12  54 

12  45 

12  37 

12  29 

12  21 

12  14 

12  07 

12  00 

11  53 

11  47 

11  41 

11  29 

11  18 

11  07 

10  57 

10  48 

10  39 

10  27 

10  16 

10  05 

9  55 

9  46 

9  38 

9  22 

9  09 

8  56 

8  46 

8  30 

8  27 

8  11 

7  58 

7  47 

7  37 

7  29 

7  21 

7  14 

7  08 

7  03 

6  57 

6  46 

6  37 

6  29 

6  22 

6  15 

6  09 

6  04 

5  58 

5  53 

5  48 


Additional  Coer. 
FOB  Sun's  Alt. 


Day  of  Month. 


1st  to  15th.... 
16th  to  31st... 


Jan. 

Feb. 

Mar. 

Apr. 

May. 

June. 

July. 

Aug. 

Sept. 

Oct. 

Nov. 

+18 

+17 

+15 
+12 

+8 
+4 

0 

-4 

-  8 
-11 

-13 

-14 

-14 
-13 

ir 
-11 

-  9 

-5 
-1 

+3 

+7 

+11 

+14 

Dec. 


+16 

+18 


*  The  corrections  for  the  observed  altitude  of  a  Star  or  Planet  involves  the  dip  and  the  refraction;  and  for  the  observed  altitude 
of  the  Sun'slower  limb,  the  dip,  refraction,  parallax,  and  mean  semldiameter,  which  is  taken  as  16'.  A  supplementary  correction 
taking  account  of  the  variation  of  the  Sun's  semidiameter  in  the  different  months  of  the  year  is  given  at  the  foot  of  the  main  table. 


TABLE  I. 


[Page  9 


Corrections*  to  be  Applied  to  the  Observed  Altitude  of  a  Star  or  of  the  Sun's  Lower  Limb,  to  Find 

the  True  Altitude — Contiuued. 


Obii.  Alt. 


6  30 
40 
50 

7  00 
10 
20 

7  30 
40 
50 

8  00 
10 
20 

8  30 
40 
50 

9  00 
20 
40 

10  00 
20 
40 

11  00 
30 

12  00 
30 

13  00 
30 

14  00 

15  00 

16  00 

17  00 

18  00 

19  GO 

20  00 
22  00 
24  00 
26  00 
28  00 
30  00 
32  00 
34  00 
36  00 
38  00 
40  00 
45  00 
50  00 
55  00 
60  00 
65  00 
70  00 
75  00 
80  00 
85  00 
90  00 


HEIGHT  OF  THE  EYE. 


36  Feet. 


O 
Sun's 
Corr. 

(+) 


2  22 
2  32 
2  42 
2  52 
01 
10 
19 
27 
35 
43 
50 
57 
04 
11 
17 
23 
35 
46 
57 
07 
16 
25 
37 


star's 
Corr. 
(-) 


8  05 
8  16 
8  26 
8  34 
8  42 
8  49 

8  55 

9  00 
9  05 
9  16 
9  24 

31 
37 
44 
49 
53 
59 


10  03 
10  07 


13  47 

13  37 

13  27 

13  17 

13  08 

12  59 

12  50 

12  42 

12  34 

12  26 

12  19 

12  12 

12  05 

11  58 

11  52 

11  46 

11  34 

11  23 

11  12 

11  02 

10  53 

10  44 

10  32 

10  21 

10  10 

10  00 

9  51 

9  43 

9  27 

9  14 

9  01 

8  51 

8  41 

8  32 

8  16 

8  03 


37  Feet. 


O 
Sun's 
Corr. 
(+) 


2  17 
2  27 
2  37 
2  47 
2  56 


05 
14 
22 
30 
38 
45 
52 
59 
06 
12 
18 
30 
41 
52 
02 
11 
20 
32 
43 
54 
04 
13 
21 
37 
50 
03 
13 
23 
31 
47 
8  00 
8  11 
8  21 
8  29 
8  37 
8  44 
8  50 

8  55 

9  00 
9  11 
9  19 
9  26 
9  32 
9  39 
9  44 
9  48 
9  54 


9  58 
10  02 


Star's 
Corr. 
(-) 


13  52 

13  42 

13  32 

13  22 

13  13 

13  04 

12  55 

12  47 

12  39 

12  31 

12  24 

12  17 

12  10 

12  03 

11  57 

11  51 

11  39 

11  28 

11  17 

11  07 

10  58 

10  49 

10  37 

10  26 

10  15 

10  05 

9  56 

9  48 

9  32 

9  19 

9  06 

8  56 

8  46 

8  37 

8  21 

8  08 

7  57 

47 

39 

31 

24 

18 

13 

07 


38  Feet. 


7 
7 
7 
7 
7 
7 
7 

6  56 
6  47 
6  39 
6  32 
6  25 
6  19 
6  14 
6  08 
6  03 
5  58 


O 
Sun's 
Corr. 
(+) 


2 
2 
2 

2 

2 

3 

3  10 

3  18 
26 
34 
41 
48 
55 
02 
08 
14 
26 
37 
48 
58 
07 
16 
28 
39 
50 
00 
09 


6  17 
6  33 
46 
59 
09 
19 
27 
43 
56 
07 


8  17 
8  25 
8  33 
8  40 
8  46 
8  51 

8  56 

9  07 
9  15 
9  22 
9  28 
9  35 
9  40 
9  44 
9  50 
9  54 
9  58 


star's 
Corr. 
(-) 


13  56 
13  46 
13  36 
13  26 
13  17 
13  08 
12  59 
12  51 
12  43 
12  35 
12  28 
12  21 
12  14 
12  07 
12  01 
11  55 
11  43 
11  32 
11  21 
11  11 


39  Feet. 


11  02 

10  53 

10  41 

10  30 

10  19 

10  09 

10  00 

9  52 

9  36 

9  23 

9  10 

9  00 

8  50 

8  41 

8  25 

8  12 

8  01 

7  51 

7  43 

7  35 

7  28 

7  22 

7  17 

7  11 

7  00 

6  51 

6  43 

6  36 

6  29 

6  23 

6  18 

6  12 

6  07 

6  02 

o 

Sun's 
Corr. 
(+) 


2  08 

2  18 
2  28 
2  38 
2  47 
2  56 


6  28 
6  41 

6  54 

7  04 
7  14 
7  22 
7  38 

7  51 

8  02 
8  12 
8  20 
8  28 
8  35 
8  41 
8  46 

8  51 

9  02 
9  10 
9  17 
9  23 
9  30 
9  35 
9  39 
9  45 
9  49 
9  53 


Star's 
Corr. 
(-) 


14  01 

13  51 

13  41 

13  31 

13  22 

13  13 

13  04 

12  56 

12  48 

12  40 

12  33 

12  26 

12  19 

12  12 

12  06 

12  00 

11  48 

11  37 

11  26 

11  16 

11  07 

10  58 

10  46 

10  35 

10  24 

10  14 

10  05 

9  57 

9  41 

9  28 

9  15 

9  05 

8  55 

8  46 

8  30 

8  17 

8  06 


40  Feet. 


6  12 
6  07 


Sun's 
Corr. 
(+) 


03 
13 
23 
33 

42 
51 
00 
08 
16 
24 
3] 
38 
45 
52 
58 
04 
16 
27 
38 
48 
57 
06 
18 
29 
5  40 
5  50 

5  59 

6  07 
6  23 
6  36 
6  49 

6  59 

7  09 
7  17 
7  33 
7  46 

7  57 

8  07 
8  15 
8  23 
8  30 
8  36 
8  41 
8  4G 

8  57 

9  05 
9  12 
9  18 
9  25 
9  30 
9  34 
9  40 
9  44 
9  48 


star's 
Corr. 
(-) 


14  06 
13  56 
13  46 
13  36 
13  27 
13  18 
13  09 
13  01 
12  53 
12  45 
12  38 
12  31 
12  24 
12  17 
12  11 
12  05 
11  53 
11  42 
11  31 
11  21 
11  12 
11  03 
10  51 
10  40 
10  29 
10  19 
10  10 
10  02 
9  46 


8  51 
8  35 
8  22 
8  11 
8  01 
53 
45 
38 
32 
27 
21 
10 
7  01 
6  53 
6  46 
6  39 
6  33 
6  28 
6  22 
6  17 
6  12 


Additional  Cork. 
FOE  Sun's  Alt. 


Day  of  Month. 


l8ttol5th... 
16th  to  31st. . 


Jan.  Feb. 

Mar. 

Apr. 

May. 

June. 

July. 

Aug. 

Sept. 

Oct. 

Nov. 

+18  +15 
+17  +12 

+8 
+4 

0 

-4 

-  8 
-11 

-13 

-14 

-14 
-13 

-11 
-  9 

-5 
-1 

+3 

+7 

+11 

+14 

Dec 


+16 
+18 


*  The  corrections  for  the  observed  altitude  of  a  Star  or  Planet  involves  the  dip  and  the  refraction;  and  for  the  observed  altitude 
of  the  Sun's  lower  limb,  the  dip,  refraction,  parallax,  and  mean  semidiameter,  which  is  taken  as  16'.  A  supplementary  correction 
taking  account  of  the  variation  of  the  Sun's  semidiameter  in  the  different  months  of  the  year  is  given  at  the  foot  of  the  main  table. 


Page  10] 

TABLE  I. 

Corrections*  to 

be  Applied  to  the  Observed  Altitude  of  a  Star 

or  of  the  Sun's  Lower  Limb,  to  Find 

the  True  Altitude — Continued.                                                               1 

HEIGHT   OF  THE  EYE.                                                                           1 

41  Feet. 

43  Feet.          1 

43  Feet.          1 

44  Feet.          1 

45  Feet. 

46  Feet.          1 

Obs.  Alt. 

O 

* 

O 

♦ 

O 

* 

O 

* 

O 

* 

O 

* 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

star's 

Sun's 

Star's 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

6  30 

1  58 

14  11 

1  54 

14  15 

1  49 

1     II 
14  20 

1  44 

14  25 

1  39 

14  30 

/    II 
1  35 

/    II 

14  34 

40 

2  08 

14  01 

2  04 

14  05 

1  59 

14  10 

1  54 

14  15 

1  49 

14  20 

1  45 

14  24 

50 

2  18 

13  51 

2  14 

13  55 

2  09 

14  00 

2  04 

14  05 

1  59 

14  10 

1  55 

14  14 

7  00 

2  28 

13  41 

2  24 

13  45 

2  19 

13  50 

2  14 

13  55 

2  09 

14  00 

2  05 

14  04 

10 

2  37 

13  32 

2  33 

13  36 

2  28 

13  41 

2  23 

13  46 

2  18 

13  51 

2  14 

13  55 

20 

2  46 

13  23 

2  42 

13  27 

2  37 

13  32 

2  32 

13  37 

2  27 

13  42 

2  23 

13  46 

7  30 

2  55 

13  14 

2  51 

13  18 

2  46 

13  23 

2  41 

13  28 

2  36 

13  33 

2  32 

13  37 

40 

3  03 

13  06 

2  59 

13  10 

2  54 

13  15 

2  49 

13  20 

2  44 

13  25 

2  40 

13  29 

50 

3  11 

12  58 

3  07 

13  02 

3  02 

13  07 

2  57 

13  12 

2  52 

13  17 

2  48 

13  21 

8  00 

3  19 

12  50 

3  15 

12  54 

3  10 

12  59 

3  05 

13  04 

3  00 

13  09 

2  56 

13  13 

10 

3  26 

12  43 

3  22 

12  47 

3  17 

12  52 

3  12 

12  57 

3  07 

13  02 

3  03 

13  06 

20 

3  33 

12  36 

3  29 

12  40 

3  24 

12  45 

3  19 

12  50 

3  14 

12  55 

3  10 

12  59 

8  30 

3  40 

12  29 

3  36 

12  33 

3  31 

12  38 

3  26 

12  43 

3  21 

12  48 

3  17 

12  52 

40 

3  47 

12  22 

3  43 

12  26 

3  38 

12  31 

3  33 

12  36 

3  28 

12  41 

3  24 

12  45 

50 

3  53 

12  16 

3  49 

12  20 

3  44 

12  25 

3  39 

12  30 

3  34 

12  35 

3  30 

12  39 

9  00 

3  59 

12  10 

3  55 

12  14 

3  50 

12  19 

3  45 

12  24 

3  40 

12  29 

3  36 

12  33 

20 

4  11 

11  58 

4  07 

12  02 

4  02 

12  07 

3  57 

14  12 

3  52 

12  17 

3  48 

12  21 

40 

4  22 

11  47 

4  18 

11  51 

4  13 

11  56 

4  08 

12  01 

4  03 

12  06 

3  59 

12  10 

10  00 

4  33 

11  36 

4  29 

11  40 

4  24 

11  45 

4  19 

11  50 

4  14 

11  55 

4  10 

11  59 

20 

4  43 

11  26 

4  39 

11  30 

4  34 

11  35 

4  29 

11  40 

4  24 

11  45 

4  20 

11  49 

40 

4  52 

11  17 

4  48 

11  21 

4  43 

11  26 

4  38 

11  31 

4  33 

11  36 

4  29 

11  40 

11  00 

5  01 

11  08 

4  57 

11  12 

4  52 

11  17 

4  47 

11  22 

4  42 

11  27 

4  38 

11  31 

30 

5  13 

10  56 

5  09 

11  00 

5  04 

11  05 

4  59 

11  10 

4  54 

11  15 

4  50 

11  19 

12  00 

5  24 

10  45 

5  20 

10  49 

5  15 

10  54 

5  10 

10  59 

5  05 

11  04 

5  01 

11  08 

30 

5  35 

10  34 

5  31 

10  38 

5  26 

10  43 

5  21 

10  48 

5  16 

10  53 

5  12 

10  57 

13  00 

5  45 

10  24 

5  41 

10  28 

5  36 

10  33 

5  31 

10  38 

5  26 

10  43 

5  22 

10  47 

30 

5  54 

10  15 

5  50 

10  19 

5  45 

10  24 

5  40 

10  29 

5  35 

10  34 

5  31 

10  38 

14  00 

6  02 

10  07 

5  58 

10  11 

5  53 

10  16 

5  48 

10  21 

5  43 

10  26 

5  39 

10  30 

15  00 

6  18 

9  51 

6  14 

9  55 

6  09 

10  00 

6  04 

10  05 

5  59 

10  10 

5  55 

10  14 

16  00 

6  31 

9  38 

6  27 

9  42 

6  22 

9  47 

6  17 

9  52 

6  12 

9  57 

6  08 

10  01 

17  00 

6  44 

9  25 

6  40 

9  29 

6  35 

9  34 

6  30 

9  39 

6  25 

9  44 

6  21 

9  48 

18  00 

6  54 

9  15 

6  50 

9  19 

6  45 

9  24 

6  40 

9  29 

6  35 

9  34 

6  31 

9  38 

19  00 

7  04 

9  05 

7  00 

9  09 

6  55 

9  14 

6  50 

9  19 

6  45 

9  24 

6  41 

9  28 

20  00 

7  12 

8  56 

7  08 

9  00 

7  03 

9  05 

6  58 

9  10 

6  53 

9  15 

6  49 

9  19 

22  00 

7  28 

8  40 

7  24 

8  44 

7  19 

8  49 

7  14 

8  54 

7  09 

8  59 

7  05 

9  03 

24  00 

7  41 

8  27 

7  37 

8  31 

7  32 

8  36 

7  27 

8  41 

7  22 

8  46 

7  18 

8  50 

26  00 

7  52 

8  16 

7  48 

8  20 

7  43 

8  25 

7  38 

8  30 

7  33 

8  35 

7  29 

8  39 

28  00 

8  02 

8  06 

7  58 

8  10 

7  53 

8  15 

7  48 

8  20 

7  43 

8  25 

7  39 

8  29 

30  00 

8  10 

7  58 

8  06 

8  02 

8  01 

8  07 

7  56 

8  12 

7  51 

8  17 

7  47 

8  21 

32  00 

8  18 

7  50 

8  14 

7  54 

8  09 

7  59 

8  04 

8  04 

7  59 

8  09 

7  55 

8  13 

34  00 

8  25 

7  43 

8  21 

7  47 

8  16 

7  52 

8  11 

7  57 

8  06 

8  02 

8  02 

8  06 

36  00 

8  31 

7  37 

8  27 

7  41 

8  22 

7  46 

8  17 

7  51 

8  12 

7  56 

8  08 

8  00 

38  00 

8  36 

7  32 

8  32 

7  36 

8  27 

7  41 

8  22 

7  46 

8  17 

7  51 

8  13 

7  55 

40  00 

8  41 

7  26 

8  37 

7  30 

8  32 

7  35 

8  27 

7  40 

8  22 

7  45 

8  18 

7  49 

45  00 

8  52 

7  15 

8  48 

7  19 

8  43 

7  24 

8  38 

7  29 

8  33 

7  34 

8  29 

7  38 

50  00 

9  00 

7  06 

8  56 

7  10 

8  51 

7  15 

8  46 

7  20 

8  41 

7  25 

8  37 

7  29 

55  00 

9  07 

6  58 

9  03 

7  02 

8  58 

7  07 

8  53 

7  12 

8  48 

7  17 

8  44 

7  21 

60  00 

9  13 

6  51 

9  09 

6  55 

9  04 

7  00 

8  59 

7  05 

8  54 

7  10 

8  50 

7  14 

65  00 

9  20 

6  44 

9  16 

6  48 

9  11 

6  53 

9  06 

6  58 

9  01 

7  03 

8  57 

7  07 

70  00 

9  25 

6  38 

9  21 

6  42 

9  16 

6  47 

9  11 

6  52 

9  06 

6  57 

9  02 

7  01 

75  00 

9  29 

6  33 

9  25 

6  37 

9  20 

6  42 

9  15 

6  47 

9  10 

6  52 

9  06 

6  56 

80  00 

9  35 

6  27 

9  31 

6  31 

9  26 

6  36 

9  21 

6  41 

•9  16 

6  46 

9  12 

6  50 

85  00 

9  39 

6  22 

9  35 

6  26 

9  30 

6  31 

9  25 

6  36 

9  20 

6  41 

9  16 

6  45 

90  00 

9  43 

6  17 

9  39 

6  21 

9  34 

6  26 

9  29 

6  31 

9  24 

6  36 

9  20 

6  40 

1 

Additio 

NAL  Core 

Day  of  Month. 

Jan. 

Feb. 

Mar. 

Apr 

.     May. 

June. 

July. 

Aug. 

Sept. 

Oct. 

Nov. 

Dec. 

„ 

„ 

II 

II 

„ 

„ 

II 

„ 

„ 

II 

// 

FOR  St. 

ra's  Alt. 

1st 

to  15th.... 

+18 

+15 

+8 

c 

-  8 

-13 

-14 

-11 

-5 

+3 

+11 

+16 

16tt 

I  to  31st... 

+17 

+  12 

+4 

-4 

-11 

-14 

-13 

-  9 

-1 

+7 

+14 

+18 

*The 

correction 

sfortheol 

)served  altitude  of  a 

Star  or  Planet  involves  the  dij 

)  and  the  refraction;  and  for  the  observed  altitude 

of  the  Sun 

's  lower  111 

nb.thedi 

p,  refraction,  paralla 

X,  and  mean  semidiameter,  w 

hich  is  taken  as  16'.  A  supplementary  correction 
is  of  the  year  is  given  at  the  foot  of  the  main  table. 

taking  aco 

ount  of  th 

3  variatior 

I  of  the  Sun's  semid 

ameter  in  the  difierent  month 

TABLE  I.                                                   [Page  11 

Corrections*  to  be  Applied  to  the  Observed  Altitude  of  a  Star  or  of  the  Sun'a  Lower  Limb,  to  Find  | 

the  True  Altitude — Continued.                                                               1 

HEIGHT  OF  THE  EYE.                                                                           | 

47  Feet. 

48  Feet.         1 

49  Feet.          1 

50  Feet. 

51  Feet. 

52  Feet.          1 

Obs.  Alt. 

O 

* 

O 

* 

o 

* 

O 

* 

O 

* 

oO, 

* 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

star's 

Sun's 

Star's 

Con. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

6  30 

1  31 

14  38 

1  27 

14  42 

1  23 

/     J/ 
14  46 

1  19 

14  50 

1  15 

/     II 
14  54 

1  11 

14  58 

40 

1  41 

14  28 

1  37 

14  32 

1  33 

14  36 

1  29 

14  40 

1  25 

14  44 

1  21 

14  48 

50 

1  51 

14  18 

1  47 

14  22 

1  43 

14  26 

1  39 

14  30 

1  35 

14  34 

1  31 

14  38 

7  00 

2  01 

14  08 

1  57 

14  12 

1  53 

14  16 

1  49 

14  20 

1  45 

14  24 

1  41 

14  28 

10 

2  10 

13  59 

2  06 

14  03 

2  02 

14  07 

1  58 

14  11 

1  54 

14  15 

1  50 

14  19 

20 

2  19 

13  50 

2  15 

13  54 

2  11 

13  58 

2  07 

14  02 

2  03 

14  06 

1  59 

14  10 

7  30 

2  28 

13  41 

2  24 

13  45 

2  20 

13  49 

2  16 

13  53 

2  12 

13  57 

2  08 

14  01 

40 

2  36 

13  33 

2  32 

13  37 

2  28 

13  41 

2  24 

13  45 

2  20 

13  49 

2  16 

13  53 

50 

2  44 

13  25 

2  40 

13  29 

2  36 

13  33 

2  32 

13  37 

2  28 

13  41 

2  24 

13  45 

S  00 

2  52 

13  17 

2  48 

13  21 

2  44 

13  25 

2  40 

13  29 

2  36 

13  33 

2  32 

13  37 

10 

2  59 

13  10 

2  55 

13  14 

2  51 

13  18 

2  47 

13  22 

2  43 

13  26 

2  39 

13  30 

20 

3  06 

13  03 

3  02 

13  07 

2  58 

13  11 

2  54 

13  15 

2  50 

13  19 

2  46 

13  23 

8  30 

3  13 

12  56 

3  09 

13  00 

3  05 

13  04 

3  01 

13  08 

2  57 

13  12 

2  53 

13  16 

40 

3  20 

12  49 

3  16 

12  53 

3  12 

12  57 

3  08 

13  01 

3  04 

13  05 

3  00 

13  09 

50 

3  26 

12  43 

3  22 

12  47 

3  18 

12  51 

3  14 

12  55 

3  10 

12  59 

3  06 

13  03 

9  00 

3  32 

12  37 

3  28 

12  41 

3  24 

12  45 

3  20 

12  49 

3  16 

12  53 

3  12 

12  57 

20 

3  44 

12  25 

3  40 

12  29 

3  36 

12  33 

3  32 

12  37 

3  28 

12  41 

3  24 

12  45 

40 

3  55 

12  14 

3  51 

12  18 

3  47 

12  22 

3  43 

12  26 

3  39 

12  30 

3  35 

12  34 

10  00 

4  06 

12  03 

4  02 

12  07 

3  58 

12  11 

3  54 

12  15 

3  50 

12  19 

3  46 

12  23 

20 

4  16 

11  53 

4  12 

11  57 

4  OS 

12  01 

4  04 

12  05 

4  00 

12  09 

3  56 

12  13 

40 

4  25 

11  44 

4  21 

11  48 

4  17 

11  52 

4  13 

11  56 

4  09 

12  00 

4  05 

12  04 

11  00 

4  34 

11  35 

4  30 

11  39 

4  26 

11  43 

4  22 

11  47 

4  18 

11  51 

4  14 

11  55 

30 

4  46 

11  23 

4  42 

11  27 

4  38 

11  31 

4  34 

11  35 

4  30 

11  39 

4  26 

11  43 

12  00 

4  57 

11  12 

4  53 

11  16 

4  49 

11  20 

4  45 

11  24 

4  41 

11  28 

4  37 

11  32 

30 

5  08 

11  01 

5  04 

11  05 

5  00 

11  09 

4  56 

11  13 

4  52 

11  17 

4  48 

11  21 

13  00 

5  18 

10  51 

5  14 

10  55 

5  10 

10  59 

5  06 

11  03 

5  02 

11  07 

4  58 

11  11 

30 

5  27 

10  42 

5  23 

10  46 

5  19 

10  50 

5  15 

10  54 

5  11 

10  58 

5  07 

11  02 

14  00 

5  35 

10  34 

5  31 

10  38 

5  27 

10  42 

5  23 

10  46 

5  19 

10  50 

5  15 

10  54 

15  00 

5  51 

10  18 

5  47 

10  22 

5  43 

10  26 

5  39 

10  30 

5  35 

10  34 

5  31 

10  38 

16  GO 

6  04 

10  05 

6  00 

10,09 

5  56 

10  13 

5  52 

10  17 

5  48 

10  21 

5  44 

10  25 

17  00 

6  17 

9  52 

6  13 

9  56 

6  09 

10  00 

6  05 

10  04 

6  01 

10  08 

5  57 

10  12 

18  00 

6  27 

9  42 

6  23 

9  46 

6  19 

9  50 

6  15 

9  54 

6  11 

9  58 

6  07 

10  02 

19  00 

6  37 

9  32 

6  33 

9  36 

6  29 

9  40 

6  25 

9  44 

6  21 

9  48 

6  17 

9  52 

20  00 

6  45 

9  23 

6  41 

9  27 

6  37 

9  31 

6  33 

9  35 

6  29 

9  39 

6  25 

9  43 

22  00 

7  01 

9  07 

6  57 

9  11 

6  53 

9  15 

6  49 

9  19 

6  45 

9  23 

6  41 

9  27 

24  00 

7  14 

8  54 

7  10 

8  58 

7  06 

9  02 

7  02 

9  06 

6  58 

9  10 

6  54 

9  14 

26  00 

7  25 

8  43 

7  21 

8  47 

7  17 

8  51 

7  13 

8  55 

7  09 

8  59 

7  05 

9  03 

28  00 

7  35 

8  33 

7  31 

8  37 

7  27 

8  41 

7  23 

8  45 

7  19 

8  49 

7  15 

8  53 

30  00 

7  43 

8  25 

7  39 

8  29 

7  35 

8  33 

7  31 

8  37 

7  27 

8  41 

7  23 

8  45 

32  00 

7  51 

8  17 

7  47 

8  21 

7  43 

8  25 

7  39 

8  29 

7  35 

8  33 

7  31 

8  37 

34  00 

7  58 

8  10 

7  54 

8  14 

7  50 

8  18 

7  46 

8  22 

7  42 

8  26 

7  38 

8  30 

36  00 

8  04 

8  04 

8  00 

8  08 

7  56 

8  12 

7  52 

8  16 

7  48 

8  20 

7  44 

8  24 

38  00 

8  09 

7  59 

8  05 

8  03 

8  01 

8  07 

7  57 

8  11 

7  53 

8  15 

7  49 

8  19 

40  00 

8  14 

7  53 

8  10 

7  57 

8  06 

8  01 

8  02 

8  05 

7  58 

8  09 

7  54 

8  13 

45  00 

8  25 

7  42 

8  21 

7  46 

8  17 

7  50 

8  13 

7  54 

8  09 

7  58 

8  05 

8  02 

50  00 

8  33 

7  33 

8  29 

7  37 

8  25 

7  41 

8  21 

7  45 

8  17 

7  49 

8  13 

7  53 

55  00 

8  40 

7  25 

8  36 

7  29 

8  32 

7  33 

8  28 

7  37 

8  24 

7  41 

8  20 

7  45 

60  00 

8  46 

7  18 

8  42 

7  22 

8  38 

7  26 

8  34 

7  30 

8  30 

7  34 

8  26 

7  38 

65  00 

8  53 

7  11 

8  49 

7  15 

8  45 

7  19 

8  41 

7  23 

8  37 

7  27 

8  33 

7  31 

70  00 

8  58 

7  05 

8  54 

7  09 

8  50 

7  13 

8  46 

7  17 

8  42 

7  21 

8  38 

7  25 

75  00 

9  02 

7  00 

8  58 

7  04 

8  54 

7  08 

8  50 

7  12 

8  46 

7  16 

8  42 

7  20 

80  00 

9  08 

6  54 

9  04 

6  58 

9  00 

7  02 

8  56 

7  06 

8  52 

7  10 

8  48 

7  14 

85  00 

9  12 

6  49 

9  08 

6  53 

9  04 

6  57 

9  00 

7  01 

8  56 

7  05 

8  52 

7  09 

90  00 

9  16 

6  44 

9  12 

6  48 

9  08 

6  52 

9  04 

6  56 

9  00 

7  00 

8  56 

7  04 

1 

Additjo 

NAL  Core 

Day  of  Month. 

Jan. 

Feb. 

Mar. 

Apr 

.     May. 

June. 

July. 

Aug. 

Sept. 

Oct. 

Nov. 

Dec. 

// 

// 

// 

/ 

ft 

// 

,1 

II 

// 

// 

// 

It 

70B  Si 

m'3  Alt. 

1st 

to  15th.... 

+18 

+15 

+8 

C 

-  8 

-13 

-14 

-11 

-5 

+3 

+  11 

+16 

16tl 

1  to  3l8t... 

+17 

+12 

+4 

-4 

-11 

-14 

-13 

-  9 

-1 

+7 

+14 

+18 

*The 

correction 

3  for  the  ot 

)served  altitude  of  a 

Star  or  Planet  involves  the  dip  and  the  refraction;  and  for  the  observed  altitude 

of  the  Sun 

's  lower  lii 

mb.thedi 

p,  refraction,  paralk 

ix,  and  mean  semidiameter,  which  is  taken  as  16'.   A  supplementary  correction 
ameter  in  the  different  months  of  the  year  is  given  at  the  foot  of  the  main  table. 

takihgacc 

ountof  th 

e  variatioi] 

I  of  the  Sun's  semid 

Page  12] 

TABLE  I. 

Corrections*  to  be  Applied  to  the  Observed  Altitude  of  a  Star 

or  of  the  Sun's 

Lower  Limb,  to  Find 

the  True  Altitude — Continued. 

Obs.  Alt. 

HEIGHT   OF  THE  EYE.                                                                            1 

53  Feet. 

54  Feet. 

55  Feet. 

56  Feet. 

57  Feet. 

58  Feet.          1 

O 

* 

G 

* 

O 

* 

O 

>» 

O 

* 

O 

* 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

Star's 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

6  30 

1  07 

15  02 

1  03 

15  06 

0  59 

15  10 

/     It 
0  55 

15  14 

»     II 
0  51 

/     11 
15  18 

0  48 

15  21 

40 

1  17 

14  52 

1  13 

14  56 

1  09 

15  00 

1  05 

15  04 

1  01 

15  08 

0  58 

15  11 

50 

1  27 

14  42 

1  23 

14  46 

1  19 

14  50 

1  15 

14  54 

1  11 

14  58 

1  08 

15  01 

7  00 

1  37 

14  32 

1  33 

14  36 

1  29 

14  40 

1  25 

14  44 

1  21 

14  48 

1  18 

14  51 

10 

1  46 

14  23 

1  42 

14  27 

1  38 

14  31 

1  34 

14  35 

1  30 

14  39 

1  27 

14  42 

20 

1  55 

14  14 

1  51 

14  18 

1  47 

14  22 

1  43 

14  26 

1  39 

14  30 

1  36 

14  33 

7  30 

2  04 

14  05 

2  00 

14  09 

1  56 

14  13 

1  52 

14  17 

1  48 

14  21 

1  45 

14  24 

40 

2  12 

13  57 

2  08 

14  01 

2  04 

14  05 

2  00 

14  09 

1  56 

14  13 

1  53 

14  16 

50 

2  20 

13  49 

2  16 

13  53 

2  12 

13  57 

2  08 

14  01 

2  04 

14  05 

2  01 

14  08 

8  00 

2  28 

13  41 

2  24 

13  45 

2  20 

13  49 

2  16 

13  53 

2  12 

13  57 

2  09 

14  00 

10 

2  35 

13  34 

2  31 

13  38 

2  27 

13  42 

2  23 

13  46 

2  19 

13  50 

2  16 

13  53 

20 

2  42 

13  27 

2  38 

13  31 

2  34 

13  35 

2  30 

13  39 

2  26 

13  43 

2  23 

13  46 

8  30 

2  49 

13  20 

2  45 

13  24 

2  41 

13  28 

2  37 

13  32 

2  33 

13  36 

2  30 

13  39 

40 

2  56 

13  13 

2  52 

13  17 

2  48 

13  21 

2  44 

13  25 

2  40 

13  29 

2  37 

13  32 

50 

3  02 

13  07 

2  58 

13  11 

2  54 

13  15 

2  50 

13  19 

2  46 

13  23 

2  43 

13  26 

9  00 

3  08 

13  01 

3  04 

13  05 

3  00 

13  09 

2  56 

13  13 

2  52 

13  17 

2  49 

13  20 

20 

3  20 

12  49 

3  16 

12  53 

3  12 

12  57 

3  08 

13  01 

3  04 

13  05 

3  01 

13  08 

40 

3  31 

12  38 

3  27 

12  42 

3  23 

12  46 

3  19 

12  50 

3  15 

12  54 

3  12 

12  57 

10  00 

3  42 

12  27 

3  38 

12  31 

3  34 

12  35 

3  30 

12  39 

3  26 

12  43 

3  23 

12  46 

20 

3  52 

12  17 

3  48 

12  21 

3  44 

12  25 

3  40 

12  29 

3  36 

12  33 

3  33 

12  36 

40 

4  01 

12  08 

3  57 

12  12 

3  53 

12  16 

3  49 

12  20 

3  45 

12  24 

3  42 

12  27 

11  00 

4  10 

11  59 

4  06 

12  03 

4  02 

12  07 

3  58 

12  11 

3  54 

12  15 

3  51 

12  18 

30 

4  22 

11  47 

4  18 

11  51 

4  14 

11  55 

4  10 

11  59 

4  06 

12  03 

4  03 

12  06 

12  00 

4  33 

11  36 

4  29 

11  40 

4  25 

11  44 

4  21 

11  48 

4  17 

11  52 

4  14 

11  55 

30 

4  44 

11  25 

4  40 

11  29 

4  36 

11  33 

4  32 

11  37 

4  28 

11  41 

4  25 

11  44 

13  00 

4  54 

11  15 

4  50 

11  19 

4  46 

11  23 

4  42 

11  27 

4  38 

11  31 

4  35 

11  34 

30 

5  03 

11  06 

4  59 

11  10 

4  55 

11  14 

4  51 

11  18 

4  47 

11  22 

4  44 

11  25 

14  00 

5  11 

10  58 

5  07 

11  02 

5  03 

11  06 

4  59 

11  10 

4  55 

11  14 

4  52 

11  17 

15  00 

5  27 

10  42 

5  23 

10  46 

5  19 

10  50 

5  15 

10  54 

5  11 

10  58 

5  08 

11  01 

16  00 

5  40 

10  29 

5  36 

10  33 

5  32 

10  37 

5  28 

10  41 

5  24 

10  45 

5  21 

10  48 

17  00 

5  53 

10  16 

5  49 

10  20 

5  45 

10  24 

5  41 

10  28 

5  37 

10  32 

5  34 

10  35 

18  00 

6  03 

10  06 

5  59 

10  10 

5  55 

10  14 

5  51 

10  18 

5  47 

10  22 

5  44 

10  25 

19  00 

6  13 

9  56 

6  09 

10  00 

6  05 

10  04 

6  01 

10  08 

5  57 

10  12 

5  54 

10  15 

20  00 

6  21 

9  47 

6  17 

9  51 

6  13 

9  55 

6  09 

9  59 

6  05 

10  03 

6  02 

10  06 

22  00 

6  37 

9  31 

6  33 

9  35 

6  29 

9  39 

6  25 

9  43 

6  21 

9  47 

6  18 

9  50 

24  00 

6  50 

9  18 

6  46 

9  22 

6  42 

9  26 

6  38 

9  30 

6  34 

9  34 

6  31 

9  37 

26  00 

7  01 

9  07 

6  57 

9  11 

6  53 

9  15 

6  49 

9  19 

6  45 

9  23 

6  42 

9  26 

28  00 

7  11 

8  57 

7  07 

9  01 

7  03 

9  05 

6  59 

9  09 

6  55 

9  13 

6  52 

9  16 

30  00 

7  19 

8  49 

7  15 

8  53 

7  11 

8  57 

7  07 

9  01 

7  03 

9  05 

7  00 

9  08 

32  00 

7  27 

8  41 

7  23 

8  45 

7  19 

8  49 

7  15 

8  53 

7  11 

8  57 

7  08 

9  00 

34  00 

7  34 

8  34 

7  30 

8  38 

7  26 

8  42 

7  22 

8  46 

7  18 

8  50 

7  15 

8  53 

36  00 

7  40 

8  28 

7  36 

8  32 

7  32 

8  36 

7  28 

8  40 

7  24 

8  44 

7  21 

8  47 

38  00 

7  45 

8  23 

7  41 

8  27 

7  37 

8  31 

7  33 

8  35 

7  29 

8  39 

7  26 

8  42 

40  00 

7  50 

8  17 

7  46 

8  21 

7  42 

8  25 

7  38 

8  29 

7  34 

8  33 

7  31 

8  36 

45  00 

8  01 

8  06 

7  57 

8  10 

7  53 

8  14 

7  49 

8  18 

7  45 

8  22 

7  42 

8  25 

50  00 

8  09 

7  57 

8  05 

8  01 

8  01 

8  05 

7  57 

8  09 

7  53 

8  13 

7  50 

8  16 

55  00 

8  16 

7  49 

8  12 

7  53 

8  08 

7  57 

8  04 

8  01 

8  00 

8  05 

7  57 

8  08 

60  00 

8  22 

7  42 

8  18 

7  46 

8  14 

7  50 

8  10 

7  54 

8  06 

7  58 

8  03 

8  01 

65  00 

8  29 

7  35 

8  25 

7  39 

8  21 

7  43 

8  17 

7  47 

8  13 

7  51 

8  10 

7  54 

70  00 

8  34 

7  29 

8  30 

7  33 

8  26 

7  37 

8  22 

7  41 

8  18 

7  45 

8  15 

7  48 

75  00 

8  38 

7  24 

8  34 

7  28 

8  30 

7  32 

8  26 

7  36 

8  22 

7  40 

8  19 

7  43 

80  00 

8  44 

7  18 

8  40 

7  22 

8  36 

7  26 

8  32 

7  30 

8  28 

7  34 

8  25 

7  37 

85  00 

8  48 

7  13 

8  44 

7  17 

8  40 

7  21 

8  36 

7  25 

8  32 

7  29 

8  29 

7  32 

90  00 

8  52 

7  08 

8  48 

7  12 

8  44 

7  16 

8  40 

7  20 

8  36 

7  24 

8  33 

7  27 

1 

Additio 

NAL  COER 

Day  of  Month. 

Jan. 

Feb. 

Mar. 

Apr.     May. 

June. 

July. 

Aug. 

Sept. 

Oct. 

Nov. 

Dec. 

„ 

„ 

„ 

„ 

II 

„ 

„ 

„ 

„ 

„ 

„ 

// 

FOR  St 

m's  Alt. 

Ist1 

to  15th.... 

+18 

+15 

+8 

0 

-  8 

-13 

-14 

-11 

-5 

+3 

+  11 

+16 

leti 

I  to  31st... 

+  17 

+12 

+4 

-4 

-11 

-14 

-13 

-  9 

-1 

+7 

+  14    +18 

*The 

correction 

sfortheol 

jserved  altitude  of  a 

Star  or  Planet  involves  the  dij 

)  and  the  refraction; 

and  for  the  observed  altitude 

of  the  Sun 

's  lower  lii 

mb.thedl 

p,  refraction,  parallf 

IX,  and  mean  semidiameter,  w 

hichistakenasl6'. 

A  supplementary  correction 
at  the  foot  of  the  main  table. 

taking  ace 

ountof  th 

evariatior 

I  of  the  Sun's  semid 

tameter  in  the  diSerent  month 

is  of  the  year  is  given 

TABLE 

I. 

[Page  13 

Corrections*  to  be  Applied  to  the  Observed  Altitude  of  a  Star  or  of  the  Sun's 

Lower  Limb,  to  Find 

the  True  Altitude — Continued. 

Obs.  Alt 

HEIGHT  OF  THE  EYE.                                                                            1 

59  Feet. 

60  Feet. 

61  Feet. 

62  Feet. 

63  Feet. 

64  Feet.         1 

G 

* 

O 

* 

O 

* 

O 

* 

O 

* 

O 

* 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

Star's 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

{+) 

(-) 

(+) 

(-) 

6  30 

0  44 

15  25 

0  40 

15  29 

0  36 

15  33 

0  32 

15  37 

0  29 

15  40 

0  25 

I     II 
15  44 

40 

0  54 

15  15 

0  50 

15  19 

0  46 

15  23 

0  42 

15  27 

0  39 

15  30 

0  35 

15  34 

50 

1  04 

15  05 

1  00 

15  09 

0  56 

15  13 

0  52 

15  17 

0  49 

15  20 

0  45 

15  24 

7  00 

1  14 

14  55 

1  10 

14  59 

1  06 

15  03 

1  02 

15  07 

0  59 

15  10 

0  55 

15  14 

10 

1  23 

14  46 

1  19 

14  50 

1  15 

14  54 

1  11 

14  58 

1  08 

15  01 

1  04 

15  05 

20 

1  32 

14  37 

1  28 

14  41 

1  24 

14  45 

1  20 

14  49 

1  17 

14  52 

1  13 

14  56 

7  30 

1  41 

14  28 

1  37 

14  32 

1  33 

14  36 

1  29 

14  40 

1  26 

14  43 

1  22 

14  47 

40 

1  49 

14  20 

1  45 

14  24 

1  41 

14  28 

1  37 

14  32 

1  34 

14  35 

1  30 

14  39 

50 

1  57 

14  12 

1  53 

14  16 

1  49 

14  20 

1  45 

14  24 

1  42 

14  27 

1  38 

14  31 

8  00 

2  05 

14  04 

2  01 

14  08 

1  57 

14  12 

1  53 

14  16 

1  50 

14  19 

1  46 

14  23 

10 

2  12 

13  57 

2  08 

14  01 

2  04 

14  05 

2  00 

14  09 

1  57 

14  12 

1  53 

14  16 

20 

2  19 

13  50 

2  15 

13  54 

2  11 

13  58 

2  07 

14  02 

2  04 

14  05 

2  00 

14  09 

8  30 

2  26 

13  43 

2  22 

13  47 

2  18 

13  51 

2  14 

13  55 

2  11 

13  58 

2  07 

14  02 

40 

2  33 

13  36 

2  29 

13  40 

2  25 

13  44 

2  21 

13  48 

2  18 

13  51 

2  14 

13  55 

50 

2  39 

13  30 

2  35 

13  34 

2  31 

13  38 

2  27 

13  42 

2  24 

13  45 

2  20 

13  49 

9  00 

2  45 

13  24 

2  41 

13  28 

2  37 

13  32 

2  33 

13  36 

2  30 

13  39 

2  26 

13  43 

20 

2  57 

13  12 

2  53 

13  16 

2  49 

13  20 

2  45 

13  24 

2  42 

13  27 

2  38 

13  31 

40 

3  08 

13  01 

3  04 

13  05 

3  00 

13  09 

2  56 

13  13 

2  53 

13  16 

2  49 

13  20 

10  00 

3  19 

12  50 

3  15 

12  54 

3  11 

12  58 

3  07 

13  02 

3  04 

13  05 

3  00 

13  09 

20 

3  29 

12  40 

3  25 

12  44 

3  21 

12  48 

3  17 

12  52 

3  14 

12  55 

3  10 

12  59 

40 

3  38 

12  31 

3  34 

12  35 

3  30 

12  39 

3  26 

12  43 

3  23 

12  46 

3  19 

12  50 

11  00 

3  47 

12  22 

3  43 

12  26 

3  39 

12  30 

3  35 

12  34 

3  32 

12  37 

3  28 

12  41 

30 

3  59 

12  10 

3  55 

12  14 

3  51 

12  18 

3  47 

12  22 

3  44 

12  25 

3  40 

12  29 

12  00 

4  10 

11  59 

4  06 

12  03 

4  02 

12  07 

3  58 

12  11 

3  55 

12  14 

3  51 

12  18 

30 

4  21 

11  48 

4  17 

11  52 

4  13 

11  56 

4  09 

12  00 

4  06 

12  03 

4  02 

12  07 

13  00 

4  31 

11  38 

4  27 

11  42 

4  23 

11  46 

4  19 

11  50 

4  16 

11  53 

4  12 

11  57 

30 

4  40 

11  29 

4  36 

11  33 

4  32 

11  37 

4  28 

11  41 

4  25 

11  44 

4  21 

11  48 

14  00 

4  48 

11  21 

4  44 

11  25 

4  40 

11  29 

4  36 

11  33 

4  33 

11  36 

4  29 

11  40 

15  00 

5  04 

11  05 

5  00 

11  09 

4  56 

11  13 

4  52 

11  17 

4  49 

11  20 

4  45 

11  24 

16  00 

5  17 

10  52 

5  13 

10  56 

5  09 

11  00 

5  05 

11  04 

5  02 

11  07 

4  58 

11  11 

17  00 

5  30 

10  39 

5  26 

10  43 

5  22 

10  47 

5  18 

10  51 

5  15 

10  54 

5  11 

10  58 

18  00 

5  40 

10  29 

5  36 

10  33 

5  32 

10  37 

5  28 

10  41 

5  25 

10  44 

5  21 

10  48 

19  00 

5  50 

10  19 

5  46 

10  23 

5  42 

10  27 

5  38 

10  31 

5  35 

10  34 

5  31 

10  38 

20  GO 

5  58 

10  10 

5  54 

10  14 

5  50 

10  18 

5  46 

10  22 

5  43 

10  25 

5  39 

10  29 

22  00 

6  14 

9  54 

6  10 

9  58 

6  06 

10  02 

6  02 

10  06 

5  59 

10  09 

5  55 

10  13 

24  00 

6  27 

9  41 

6  23 

9  45 

6  19 

9  49 

6  15 

9  53 

<>  12 

9  56 

6  08 

10  00 

26  00 

6  38 

9  30 

6  34 

9  34 

6  30 

9  38 

6  26 

9  42 

6  23 

9  45 

6  19 

9  49 

28  00 

6  48 

9  20 

6  44 

9  24 

6  40 

9  28 

6  36 

9  32 

6  33 

9  35 

6  29 

9  39 

30  00 

6  56 

9  12 

6  52 

9  16 

6  48 

9  20 

6  44 

9  24 

6  41 

9  27 

6  37 

9  31 

32  00 

7  04 

9  04 

7  00 

9  08 

6  56 

9  12 

6  52 

9  16 

6  49 

9  19 

6  45 

9  23 

34  00 

7  11 

8  57 

7  07 

9  01 

7  03 

9  05 

6  59 

9  09 

6  56 

9  12 

6  52 

9  16 

36  00 

7  17 

8  51 

7  13 

8  55 

7  09 

8  59 

7  05 

9  03 

7  02 

9  06 

6  58 

9  10 

38  00 

7  22 

8  46 

7  18 

8  50 

7  14 

8  54 

7  10 

8  58 

7  07 

9  01 

7  03 

9  05 

40  00 

7  27 

8  40 

7  23 

8  44 

7  19 

8  48 

7  15 

8  52 

7  12 

8  55 

7  08 

8  59 

45  00 

7  38 

8  29 

7  34 

8  33 

7  30 

8  37 

7  26 

8  41 

7  23 

8  44 

7  19 

8  48 

50  00 

7  46 

8  20 

7  42 

8  24 

7  38 

8  28 

7  34 

8  32 

7  31 

8  35 

7  27 

8  39 

55  00 

7  53 

8  12 

7  49 

8  16 

7  45 

8  20 

7  41 

8  24 

7  38 

8  27 

7  34 

8  31 

60  00 

7  59 

8  05 

7  55 

8  09 

7  51 

8  13 

7  47 

8  17 

7  44 

8  20 

7  40 

8  24 

65  00 

8  06 

7  58 

8  02 

8  02 

7  58 

8  06 

7  54 

8  10 

7  51 

8  13 

7  47 

8  17 

70  00 

8  11 

7  52 

8  07 

7  56 

8  03 

8  00 

7  59 

8  04 

7  56 

8  07 

7  52 

8  11 

75  00 

8  15 

7  47 

8  11 

7  51 

8  07 

7  55 

8  03 

7  59 

8  00 

8  02 

7  56 

8  06 

80  00 

8  21 

7  41 

8  17 

7  45 

8  13 

7  49 

8  09 

7  63 

8  06 

7  56 

8  02 

8  00 

85  00 

8  25 

7  36 

8  21 

7  40 

8  17 

7  44 

8  13 

7  48 

8  10 

7  51 

8  06 

7  55 

90  00 

8  29 

7  31 

8  25 

7  35 

8  21 

7  39 

8  17 

7  43 

8  14 

7  46 

8  10 

7  50 

1 

Additioi 

fAL  CORR. 

Day  of  Month. 

Jan. 

Feb. 

Mar. 

Apr. 

May.    3 

rune. 

July. 

Aug. 

Sept. 

Oct. 

Nov 

.     Dec. 

,/ 

,1 

„ 

,1 

„ 

„ 

„ 

II 

„ 

„ 

„ 

FOE  Sir 

N's  Alt. 

Istl^ 

0  15th... 

.+18 

+15 

+8 

0 

-  8    - 

-13 

-14 

-11 

-5 

+3 

+11 

+16 

16th 

to  3l8t. 

..+17 

+12 

+4 

-4 

-11    - 

-14 

-13 

-  9 

-1 

+7 

+14 

+18 

*Thec 

orrections  for  the  ob 

served  altitude  of  a  £ 

tar  or  Planet  involv 

es  the  dip  and  the  refraction;  ( 

ind  for  the  observed  altitude 

of  the  Sun' 

5  lower  limb ,  the  dip 

,  refraction,  paralla 

K,  and  mean  semidia 

meter,  which  is  taken  as  16'. 

A  supplementary  correction 

taking  acco 

unt  of  the  variation 

of  the  Sun's  semidis 

imeter  in  the  differe 

at  months  of  the  year  is  given 

at  the  foot  of  the  main  table. 

Page  14] 

TABLE  I. 

Corrections*  to  be  Applied  to  the  Observed  Altitude  of  a  Star  or  of  the  Sun's 

Lower  Limb,  to  Find 

the  True  Altitude — Continued. 

Obs.  Alt. 

HEIGHT   OF  THE  EYE.                                                                            1 

65  Feet. 

66  Feet. 

67  Feet.         1 

68  Feet. 

69  Feet. 

70  Feet.          1 

O 

* 

O 

* 

O 

* 

O 

♦ 

O 

* 

O 

* 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

Star's 

Sun's 

star's 

Sun's 

Star's 

Sun's 

Star's 

COIT. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr. 

Corr, 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

(+) 

(-) 

6  30 

0  21 

1     It 
15  48 

0  18 

15  51 

0  14 

15  55 

0  10 

15  59 

0  07 

16  02 

0  03 

16  06 

40 

0  31 

15  38 

0  28 

15  41 

0  24 

15  45 

0  20 

15  49 

0  17 

15  52 

0  13 

15  56 

50 

0  41 

15  28 

0  38 

15  31 

0  34 

15  35 

0  30 

15  39 

0  27 

15  42 

0  23 

15  46 

7  00 

0  51 

15  18 

0  48 

15  21 

0  44 

15  25 

0  40 

15  29 

0  37 

15  32 

0  33 

15  36 

10 

1  00 

15  09 

0  57 

15  12 

0  53 

15  16 

0  49 

15  20 

0  46 

15  23 

0  42 

15  27 

20 

1  09 

15  00 

1  06 

15  03 

1  02 

15  07 

0  58 

15  11 

0  55 

15  14 

0  51 

15  18 

7  30 

1  18 

14  51 

1  15 

14  54 

1  11 

14  58 

1  07 

15  02 

1  04 

15  05 

1  00 

15  09 

40 

1  26 

14  43 

•    1  23 

14  46 

1  19 

14  50 

1  15 

.14  54 

1  12 

14  57 

1  08 

15  01 

50 

1  34 

14  35 

1  31 

14  38 

1  27 

14  42 

1  23 

14  46 

1  20 

14  49 

1  16 

14  53 

8  00 

1  42 

14  27 

1  39 

14  30 

1  35 

14  34 

1  31 

14  38 

1  28 

14  41 

1  24 

14  45 

10 

1  49 

14  20 

1  46 

14  23 

1  42 

14  27 

1  38 

14  31 

1  35 

14  34 

1  31 

14  38 

20 

1  56 

14  13 

1  53 

14  16 

1  49 

14  20 

1  45 

14  24 

1  42 

14  27 

1  38 

14  31 

8  30 

2  03 

14  06 

2  00 

14  09 

1  56 

14  13 

1  52 

14  17 

1  49 

14  20 

1  45 

14  24 

40 

2  10 

13  59 

2  07 

14  02 

2  03 

14  06 

1  59 

14  10 

1  56 

14  13 

1  52 

14  17 

50 

2  16 

13  53 

2  13 

13  56 

2  09 

14  00 

2  05 

14  04 

2  02 

14  07 

1  58 

14  11 

9  00 

2  22 

13  47 

2  19 

13  50 

2  15 

13  54 

2  11 

13  58 

2  08 

14  01 

2  04 

14  05 

20 

2  34 

13  35 

2  31 

13  38 

2  27 

13  42 

2  23 

13  46 

2  20 

13  49 

2  16 

13  53 

40 

2  45 

13  24 

2  42 

13  27 

2  38 

13  31 

2  34 

13  35 

2  31 

13  38 

2  27 

13  42 

10  00 

2  56 

13  13 

2  53 

13  16 

2  49 

13  20 

2  45 

13  24 

2  42 

13  27 

2  38 

13  31 

20 

3  06 

13  03 

3  03 

13  06 

2  59 

13  10 

2  55 

13  14 

2  52 

13  17 

2  48 

13  21 

40 

3  15 

12  54 

3  12 

12  57 

3  08 

13  01 

3  04 

13  05 

3  01 

13  08 

2  57 

13  12 

11  00 

3  24 

12  45 

3  21 

12  48 

3  17 

12  52 

3  13 

12  56 

3  10 

12  59 

3  06 

13  03 

30 

3  36 

12  33 

3  33 

12  36 

3  29 

12  40 

3  25 

12  44 

3  22 

12  47 

3  18 

12  51 

12  00 

3  47 

12  22 

3  44 

12  25 

3  40 

12  29 

3  36 

12  33 

3  33 

12  36 

3  29 

12  40 

30 

3  58 

12  11 

3  55 

12  14 

3  51 

12  18 

3  47 

12  22 

3  44 

12  25 

3  40 

12  29 

13  00 

4  08 

12  01 

4  05 

12  04 

4  01 

12  08 

3  57 

12  12 

3  54 

12  15 

3  50 

12  19 

30 

4  17 

11  52 

4  14 

11  55 

4  10 

11  59 

4  06 

12  03 

4  03 

12  06 

3  59 

12  10 

14  00 

4  25 

11  44 

4  22 

11  47 

4  18 

11  51 

4  14 

11  55 

4  11 

11  58 

4  07 

12  02 

15  00 

4  41 

11  28 

4  38 

11  31 

4  34 

11  35 

4  30 

11  39 

4  27 

11  42 

4  23 

11  46 

16  00 

4  54 

11  15 

4  51 

11  18 

4  47 

11  22 

4  43 

11  26 

4  40 

11  29 

4  36 

11  33 

17  00 

5  07 

11  02 

5  04 

11  05 

5  00 

11  09 

4  56 

11  13 

4  53 

11  16 

4  49 

11  20 

18  00 

5  17 

10  52 

5  14 

10  55 

5  10 

10  59 

5  06 

11  03 

5  03 

11  06 

4  59 

11  10 

19  00 

5  27 

10  42 

5  24 

10  45 

5  20 

10  49 

5  16 

10  53 

5  13 

10  56 

5  09 

11  00 

20  00 

5  35 

10  33 

5  32 

10  36 

5  28 

10  40 

5  24 

10  44 

5  21 

10  47 

5  17 

10  51 

22  db 

5  51 

10  17 

5  48 

10  20 

5  44 

10  24 

5  40 

10  28 

5  37 

10  31 

5  33 

10  35 

24  00 

6  04 

10  04 

6  01 

10  07 

5  57 

10  11 

5  53 

10  15 

5  50 

10  18 

6  46 

10  22 

26  00 

6  15 

9  53 

6  12 

9  56 

6  08 

10  00 

6  04 

10  04 

6  01 

10  07 

5  57 

10  11 

28  00 

6  25 

9  43 

6  22 

9  46 

6  18 

9  50 

6  14 

9  54 

6  11 

9  57 

6  07 

10  01 

30  00 

6  33 

9  m 

6  30 

9  38 

6  26 

9  42 

6  22 

9  46 

6  19 

9  49 

6  15 

9  53 

32  00 

6  41 

9  27 

6  38 

9  30 

6  34 

9  34 

6  30 

9  38 

6  27 

9  41 

6  23 

9  45 

34  00 

6  48 

9  20 

6  45 

9  23 

6  41 

9  27 

6  37 

9  31 

6  34 

9  34 

6  30 

9  38 

36  00 

6  54 

9  14 

6  51 

9  17 

6  47 

9  21 

6  43 

9  25 

6  40 

9  28 

6  36 

9  32 

38  00 

6  59 

9  09 

6  56 

9  12 

6  52 

9  16 

6  48 

9  20 

6  45 

9  23 

6  41 

9  27 

40  00 

7  04 

9  03 

7  01 

9  06 

6  57 

9  10 

6  53 

9  14 

6  50 

9  17 

6  46 

9  21 

45  00 

7  15 

8  52 

7  12 

8  55 

7  08 

8  59 

7  04 

9  03 

7  01 

9  06 

6  57 

9  10 

50  00 

7  23 

8  43 

7  20 

8  46 

7  16 

8  50 

7  12 

8  54 

7  09 

8  57 

7  05 

9  01 

55  00 

7  30 

8  35 

7  27 

8  38 

7  23 

8  42 

7  19 

8  46 

7  16 

8  49 

7  12 

8  53 

60  00 

7  36 

8  28 

7  33 

8  31 

7  29 

8  35 

7  25 

8  39 

7  22 

8  42 

7  18 

8  46 

65  00 

7  43 

8  21 

7  40 

8  24 

7  36 

8  28 

7  32 

8  32 

7  29 

8  35 

7  25 

8  39 

70  00 

7  48 

8  15 

7  45 

8  18 

7  41 

8  22 

7  37 

8  26 

7  34 

8  29 

7  30 

8  33 

75  00 

7  52 

8  10 

7  49 

8  13 

7  45 

8  17 

7  41 

8  21 

7  38 

8  24 

7  34 

8  28 

80  00 

7  58 

8  04 

7  55 

8  07 

7  51 

8  11 

7  47 

8  15 

7  44 

8  18 

7  40 

8  22 

85  00 

8  02 

7  59 

7  59 

8  02 

7  55 

8  06 

7  51 

8  10 

7  48 

8  13 

7  44 

8  17 

90  00 

8  06 

7  54 

8  03 

7  57 

7  59 

8  01 

7  55 

8  05 

7  52 

8  08 

7  48 

8  12 

1 

Additto 

NAL  Cork 

Day  of  Month. 

Jan. 

Feb. 

Mar. 

Apr 

.    May. 

June. 

July. 

Aug. 

Sept. 

Oct. 

Nov. 

Dec. 

n 

„ 

It 

„ 

n 

„ 

„ 

„ 

„ 

„ 

„ 

FOE  St 

rN's  Alt. 

1st 

to  15th.... 

+18 

+15 

+8 

c 

-  8 

-13 

-14 

-11 

-5 

+3 

+  11 

+16 

16tl: 

I  to  31st... 

+17 

+12 

+4 

-4 

-11 

-14 

-13 

-  9 

-1 

+7 

+14 

+18 

*The< 

jorrection. 

5  for  the  ol 

served  altitude  of  a 

Star  or  Planet  involves  the  dip  and  the  refraction; 

and  for  the  observed  altitude 

of  the  Sun 

s  lower  lii 

nb.thedi 

p,  refraction,  paralls 

X,  and  mean  semidiameter,  which  is  taken  as  16'. 

A  supplementary  correction 
at  the  Toot  of  the  main  table. 

taking  aco 

ountof  th 

B  variation 

of  the  Sun's  semid 

ameter  in  the  different  months  of  the  year  is  given 

TABLE  I.                                              [Page  15 

Corrections*  to  be  Applied  to  the  Observed  Altitude  of  a  Star  or  of  the  Sun's  Lower  Limb,  to  Find  | 

the  True  Altitude — Continued.                                                               1 

Obs.  Alt. 

HEIGHT   OF   THE   EYE.                                                                                1 

71  Feet. 

72  Feet. 

73  Feet. 

74  Feet. 

75  Feet. 

76  Feet.         1 

Sun's 
Corr. 
(+) 

* 

* 

* 

* 

* 

* 

Star's 
Corr. 
(-) 

Sun's 
Corr. 

Star's 
Corr. 
(-) 

Sun's 
Corr. 

Star's 
Corr. 
(-) 

O 
Sun's 
Corr. 

Star's 
Corr. 
(-) 

Sun's 
Corr. 

Star's 
Corr. 
(-) 

Sun's 
Corr. 

Star's 
Corr. 
(-) 

6  30 

0  00 

16  09 

-0  04 

16  13 

-0  08 

16  17 

-0  11 

16  20 

-0  14 

16  23 

-0  17 

16  26 

40 

0  10 

15  59 

+0  06 

16  03 

+0  02 

16  07 

-0  01 

16  10 

-0  04 

16  13 

-0  07 

16  16 

50 

0  20 

15  49 

0  16 

15  53 

0  12 

15  57 

+0  09 

16  00 

+0  06 

16  03 

+0  03 

16  06 

7  00 

0  30 

15  39 

0  26 

15  43 

0  22 

15  47 

1  19 

15  50 

0  16 

15  53 

0  13 

15  56 

10 

0  39 

15  30 

0  35 

15  34 

0  31 

15  38 

1  28 

15  41 

0  25 

15  44 

0  22 

15  47 

20 

0  48 

15  21 

0  44 

15  25 

0  40 

15  29 

1  37 

15  32 

0  34 

15  35 

0  31 

15  38 

7  30 

0  57 

15  12 

0  53 

15  16 

0  49 

15  20 

1  46 

15  23 

0  43 

15  26 

0  40 

15  29 

40 

1  05 

15  04 

1  01 

15  08 

0  57 

15  12 

1  54 

15  15 

0  51 

15  18 

0  48 

15  21 

50 

1  13 

14  56 

1  09 

15  00 

1  05 

15  04 

1  02 

15  07 

0  59 

15  10 

0  56 

15  13 

8  00 

1  21 

14  48 

1  17 

14  52 

1  13 

14  56 

1  10 

14  59 

1  07 

15  02 

1  04 

15  05 

10 

1  28 

14  41 

1  24 

14  45 

1  20 

14  49 

117 

14  52 

1  14 

14  55 

1  11 

14  58 

20 

1  35 

14  34 

1  31 

14  38 

1  27 

14  42 

1  24 

14  45 

1  21 

14  48 

1  18 

14  51 

8  30 

1  42 

14  27 

1  38 

14  31 

1  34 

14  35 

1  31 

14  38 

1  28 

14  41 

1  25 

14  44 

40 

1  49 

14  20 

1  45 

14  24 

1  41 

14  28 

1  38 

14  31 

1  35 

14  34 

1  32 

14  37 

50 

1  55 

14  14 

1  51 

14  18 

1  47 

14  22 

1  44 

14  25 

1  41 

14  28 

1  38 

14  31 

9  00 

2  01 

14  08 

1  57 

14  12 

1  53 

14  16 

1  50 

14  19 

1  47 

14  22 

1  44 

14  25 

20 

2  13 

13  56 

2  09 

14  00 

2  05 

14  04 

2  02 

14  07 

1  59 

14  10 

1  56 

14  13 

40 

2  24 

13  45 

2  20 

13  49 

2  16 

13  53 

2  13 

13  56 

2  10 

13  59 

2  07 

14  02 

10  00 

2  35 

13  34 

2  31 

13  38 

2  27 

13  42 

2  24 

13  45 

2  21 

13  48 

2  18 

13  51 

20 

2  45 

13  24 

2  41 

13  28 

2  37 

13  32 

2  34 

13  35 

2  31 

13  38 

2  28 

13  41 

40 

2  54 

13  15 

2  50 

13  19 

2  46 

13  23 

2  43 

13  26 

2  40 

13  29 

2  37 

13  32 

11  00 

3  03 

13  06 

2  59 

13  10 

2  55 

13  14 

2  52 

13  17 

2  49 

13  20 

2  46 

13  23 

30 

3  15 

12  54 

3  11 

12  58 

3  07 

13  02 

3  04 

13  05 

3  01 

13  08 

2  58 

13  11 

12  00 

3  26 

12  43 

3  22 

12  47 

3  18 

12  51 

3  15 

12  54 

3  12 

12  57 

3  09 

13  00 

30 

3  37 

12  32 

3  33 

12  36 

3  29 

12  40 

3  26 

12  43 

3  23 

12  46 

3  20 

12  49 

13  00 

3  47 

12  22 

3  43 

12  26 

3  39 

12  30 

3  36 

12  33 

3  33 

12  36 

3  30 

12  39 

30 

3  56 

12  13 

3  52 

12  17 

3  48 

12  21 

3  45 

12  24 

3  42 

12  27 

3  39 

12  30 

14  00 

4  04 

12  05 

4  00 

12  09 

3  56 

12  13 

3  53 

12  16 

3  50 

12  19 

3  47 

12  22 

15  00 

4  20 

11  49 

4  16 

11  53 

4  12 

11  57 

4  09 

12  00 

4  06 

12  03 

4  03 

12  06 

16  00 

4  33 

11  36 

4  29 

11  40 

4  25 

11  44 

4  22 

11  47 

4  19 

11  50 

4  16 

11  53 

17  00 

4  46 

11  23 

4  42 

11  27 

4  38 

11  31 

4  35 

11  34 

4  32 

11  37 

4  29 

11  40 

18  00 

4  56 

11  13 

4  52 

11  17 

4  48 

11  21 

4  45 

11  24 

4  42 

11  27 

4  39 

11  30 

19  00 

5  06 

11  03 

5  02 

11  07 

4  58 

11  11 

4  55 

11  14 

4  52 

11  17 

4  49 

11  20 

20  00 

5  14 

10  54 

5  10 

10  58 

5  06 

11  02 

5  03 

11  05 

5  00 

11  08 

4  57 

11  11 

22  00 

5  30 

10  38 

5  26 

10  42 

5  22 

10  46 

5  19 

10  49 

5  16 

10  52 

5  13 

10  55 

24  00 

5  43 

10  25 

5  39 

10  29 

5  35 

10  33 

5  32 

10  36 

5  29 

10  39 

5  26 

10  42 

26  00 

5  54 

10  14 

5  50 

10  18 

5  46 

10  22 

5  43 

10  25 

5  40 

10  28 

5  37 

10  31 

28  00 

6  04 

10  04 

6  00 

10  08 

5  56 

10  12 

5  53 

10  15 

5  50 

10  18 

5  47 

10  21 

30  00 

6  12 

9  56 

6  08 

10  00 

6  04 

10  04 

6  01 

10  07 

5  58 

10  10 

5  55 

10  13 

32  00 

6  20 

9  48 

6  16 

9  52 

6  12 

9  56 

6  09 

9  59 

6  06 

10  02 

6  03 

10  05 

34  00 

6  27 

9  41 

6  23 

9  45 

6  19 

9  49 

6  16 

9  52 

6  13 

9  55 

6  10 

9  58 

36  00 

6  33 

9  35 

6  29 

9  39 

6  25 

9  43 

6  22 

9  46 

6  19 

9  49 

6  16 

9  52 

38  00 

6  38 

9  30 

6  34 

9  34 

6  30 

9  38 

6  27 

9  41 

6  24 

9  44 

6  21 

9  47 

40  00 

6  43 

9  24 

6  39 

9  28 

6  35 

9  32 

6  32 

9  35 

6  29 

9  38 

6  26 

9  41 

45  00 

6  54 

9  13 

6  50 

9  17 

6  46 

9  21 

6  43 

9  24 

6  40 

9  27 

6  37 

9  30 

50  00 

7  02 

9  04 

6  58 

9  08 

6  54 

9  12 

6  51 

9  15 

6  48 

9  18 

6  45 

9  21 

55  00 

7  09 

8  56 

•7  05 

9  00 

7  01 

9  04 

6  58 

9  07 

6  55 

9  10 

6  52 

9  13 

60  00 

7  15 

8  49 

7  11 

8  53 

7  07 

8  57 

7  04 

9  00 

7  01 

9  03 

6  58 

9  06 

65  00 

7  22 

8  42 

7  18 

8  46 

7  14 

8  50 

7  11 

8  53 

7  08 

8  56 

7  05 

8  59 

70  00 

7  27 

8  36 

7  23 

8  40 

7  19 

8  44 

7  16 

8  47 

7  13 

8  50 

7  10 

8  53 

75  00 

7  31 

8  31 

7  27 

8  35 

7  23 

8  39 

7  20 

8  42 

7  17 

8  45 

7  14 

8  48 

80  00 

7  37 

8  25 

7  33 

8  29 

7  29 

8  33 

7  26 

8  36 

7  23 

8  39 

7  20 

8  42 

85  00 

7  41 

8  20 

7  37 

8  24 

7  33 

8  28 

7  30 

8  31 

7  27 

8  34 

7  24 

8  37 

90  00 

7  45 

8  15 

+7  41 

8  19 

+7  37 

8  23 

+7  34 

8  26 

+7  31 

8  29 

+7  28 

8  32 

1 

Additio 

■^AL  COER 

Day  of  Month. 

Jan. 

Feb. 

Mar. 

Apr 

May. 

June. 

July. 

Aug. 

Sept. 

Oct. 

Nov. 

Dec. 

„ 

„ 

„ 

„ 

„ 

„ 

„ 

„ 

„ 

ti 

„ 

„ 

FOE  SU 

s'a  Alt. 

Istt 

«15th.... 

+18 

+15 

+8 

0 

-  8 

-13 

-14 

-11 

-5 

+3 

+  11 

+16 

16th 

to  31st.. . 

+17 

+12 

+4 

-4 

-11 

-14    -13 

-  9 

-1 

+7 

+14 

+18 

*Thec 

»iTections 

for  the  oh 

served  altitude  of  a 

Star  or  Planet  involves  the  dip  and  the  refraction ;  and  for  the  observed  altitude 

of  the  Sun 

s  lower  lii 

nb,thedi 

),  refraction,  paralla 

X,  and  mean  semidiameter,  which  is  taken  as  16'.  A  supplementary  correction 

taking  aca 

junt  of  th 

a  variatior 

I  of  the  Sun's  semid 

iameter  in  the  different  months  of  the  year  is  given  at  the  footof  the  main  table. 

Page  16] 

TABLE  I. 

Corrections*  to  be  Applied  to  the  Observed  Altitude  of  a  Star  or  of  the  Sun's  Lower  Limb,  to  Find  | 

the  True  Altitude — Continued.                                                               1 

Obs.  Alt. 

HEIGHT  OF  THE  EYE.                                                                            | 

77  Feet.         1 

78  Feet.        1 

79  Feet.          1 

80  Feet.         1 

81  Feet.          1 

82  Feet.          J 

^ 

* 

* 

* 

* 

* 

Sun's 
Corr. 

Star's 
Corr. 
(-) 

Sun's 
Corr. 

Star's 
Corr. 
(-) 

Sun's 
Corr. 

Star's 
Corr. 
(-) 

Sun's 
Corr. 

star's 
Corr. 
(-) 

Sun's 
Corr. 

star's 
Corr. 
(-) 

Sim's 
Corr. 

Star's 
Corr. 
(-) 

6  30 

-0  21 

16  30 

-0  24 

16  33 

-0  28 

16  37 

-0  31 

16  40 

/       n 

-0  34 

16  43 

-0  37 

16  46 

40 

-0  11 

16  20 

-0  14 

16  23 

-0  18 

16  27 

-0  21 

16  30 

-0  24 

16  33 

-0  27 

16  36 

50 

-0  01 

16  10 

-0  04 

16  13 

-0  08 

16  17 

-0  11 

16  20 

-0  14 

16  23 

-0  17 

16  26 

7  00 

+Q  09 

16  00 

+0  06 

16  03 

+0  02 

16  07 

-0  01 

16  10 

-0  04 

16  13 

-0  07 

16  16 

10 

0  18 

15  51 

0  15 

15  54 

0  11 

15  58 

+0  08 

16  01 

+0  05 

16  04 

+0  02 

16  07 

20 

0  27 

15  42 

0  24 

15  45 

0  20 

15  49 

0  17 

15  52 

0  14 

15  55 

0  11 

15  58 

7  30 

0  36 

15  33 

0  33 

15  36 

0  29 

15  40 

0  26 

15  43 

0  23 

15  46 

0  20 

15  49 

40 

0  44 

15  25 

0  41 

15  28 

0  37 

15  32 

0  34 

15  35 

0  31 

15  38 

0  28 

15  41 

50 

0  52 

15  17 

0  49 

15  20 

0  45 

15  24 

0  42 

15  27 

0  39 

15  30 

0  36 

15  33 

8  00 

1  00 

15  09 

0  57 

15  12 

0  53 

15  16 

0  50 

15  19 

0  47 

15  22 

0  44 

15  25 

10 

1  07 

15  02 

1  04 

15  05 

1  00 

15  09 

0  57 

15  12 

0  54 

15  15 

0  51 

15  18 

20 

1  14 

14  55 

1  11 

14  58 

1  07 

15  02 

1  04 

15  05 

1  01 

15  08 

0  58 

15  11 

8  30 

1  21 

14  48 

1  18 

14  51 

1  14 

14  55 

1  11 

14  58 

1  08 

15  01 

1  05 

15  04 

40 

1  28 

14  41 

1  25 

14  44 

1  21 

14  48 

1  18 

14  51 

1  15 

14  54 

1  12 

14  57 

50 

1  34 

14  35 

1  31 

14  38 

1  27 

14  42 

1  24 

14  45 

1  21 

14  48 

1  18 

14  51 

9  00 

1  40 

14  29 

1  37 

14  32 

1  33 

14  36 

1  30 

14  39 

1  27 

14  42 

1  24 

14  45 

20 

1  52 

14  17 

1  49 

14  20 

1  45 

14  24 

1  42 

14  27 

1  39 

14  30 

1  36 

14  33 

40 

2  03 

14  06 

2  00 

14  09 

1  56 

14  13 

1  53 

14  16 

1  50 

14  19 

1  47 

14  22 

10  00 

2  14 

13  55 

2  11 

13  58 

2  07 

14  02 

2  04 

14  05 

2  01 

14  08 

1  58 

14  11 

20 

2  24 

13  45 

2  21 

13  48 

2  17 

13  52 

2  14 

13  55 

2  11 

13  58 

2  08 

14  01 

40 

2  33 

13  36 

2  30 

13  39 

2  26 

13  43 

2  23 

13  46 

2  20 

13  49 

2  17 

13  52 

11  00 

2  42 

13  27 

2  39 

13  30 

2  35 

13  34 

2  32 

13  37 

2  29 

13  40 

2  26 

13  43 

30 

2  54 

13  15 

2  51 

13  18 

2  47 

13  22 

2  44 

13  25 

2  41 

13  28 

2  38 

13  31 

12  00 

3  05 

13  04 

3  02 

13  07 

2  58 

13  11 

2  55 

13  14 

2  52 

13  17 

2  49 

13  20 

30 

3  16 

12  53 

3  13 

12  56 

3  09 

13  00 

3  06 

13  03 

3  03 

13  06 

3  00 

13  09 

13  00 

3  26 

12  43 

3  23 

12  46 

3  19 

12  50' 

3  16 

12  53 

3  13 

12  56 

3  10 

12  59 

30 

3  35 

12  34 

3  32 

12  37 

3  28 

12  41 

3  25 

12  44 

3  22 

12  47 

3  19 

12  50 

14  00 

3  43 

12  26 

3  40 

12  29 

3  36 

12  33 

3  33 

12  36 

3  30 

12  39 

3  27 

12  42 

15  00 

3  59 

12  10 

3  56 

12  13 

3  52 

12  17 

3  49 

12  20 

3  46 

12  23 

3  43 

12  26 

16  00 

4  12 

11  57 

4  09 

12  00 

4  05 

12  04 

4  02 

12  07 

3  59 

12  10 

3  56 

12  13 

17  00 

4  25 

11  44 

4  22 

11  47 

4  18 

11  51 

4  15 

11  54 

4  12 

11  57 

4  09 

12  00 

18  00 

4  35 

11  34 

4  32 

11  37 

4  28 

11  41 

4  25 

11  44 

4  22 

11  47 

4  19 

11  50 

19  00 

4  45 

11  24 

4  42 

11  27 

4  38 

11  31 

4  35 

11  34 

4  32 

11  37 

4  29 

11  40 

20  00 

4  53 

11  15 

4  50 

11  18 

4  46 

11  22 

4  43 

11  25 

4  40 

11  28 

4  37 

11  31 

22  00 

5  09 

10  59 

5  06 

11  02 

5  02 

11  06 

4  59 

11  09 

4  56 

11  12 

4  53 

11  15 

24  00 

5  22 

10  46 

5  19 

10  49 

5  15 

10  53 

5  12 

10  56 

5  09 

10  59 

5  06 

11  02 

26  00 

5  33 

10  35 

5  30 

10  38 

5  26 

10  42 

5  23 

10  45 

5  20 

10  48 

5  17 

10  51 

28  00 

5  43 

10  25 

5  40 

10  28 

5  36 

10  32 

5  33 

10  35 

5  3^ 

10  38 

5  27 

10  41 

30  00 

5  51 

10  17 

5  48 

10  20 

5  44 

10  24 

5  41 

10  27 

5  38 

10  30 

5  35 

10  33 

32  00 

5  59 

10  09 

5  56 

10  12 

5  52 

10  16 

5  49 

10  19 

5  46 

10  22 

5  43 

10  25 

34  00 

6  06 

10  02 

6  03 

10  05 

5  59 

10  09 

5  56 

10  12 

5  53 

10  15 

5  50 

10  18 

36  00 

6  12 

9  56 

6  09 

9  59 

6  05 

10  03 

6  02 

10  06 

5  59 

10  09 

5  56 

10  12 

38  00 

6  17 

9  51 

6  14 

9  54 

6  10 

9  58 

6  07 

10  01 

6  04 

10  04 

6  01 

10  07 

40  00 

6  22 

9  45 

6  19 

9  48 

6  15 

9  52 

6  12 

9  55 

6  09 

9  58 

6  06 

10  01 

45  00 

6  33 

9  34 

6  30 

9  37 

6  26 

9  41 

6  23 

9  44 

6  20 

9  47 

6  17 

9  50 

50  00 

6  41 

9  25 

6  38 

9  28 

6  34 

9  32 

6  31 

9  35 

6  28 

9  38 

6  25 

9  41 

55  00 

6  48 

9  17 

6  45 

9  20 

6  41 

9  24 

6  38 

9  27 

6  35 

9  30 

6  32 

9  33 

60  00 

6  54 

9  10 

6  51 

9  13 

6  47 

9  17 

6  44 

9  20 

6  41 

9  23 

6  38 

9  26 

65  00 

7  01 

9  03 

6  58 

9  06 

6  54 

9  10 

6  51 

9  13 

6  48 

9  16 

6  45 

9  19 

70  00 

7  06 

8  57 

7  03 

9  00 

6  59 

9  04 

6  56 

9  07 

6  53 

9  10 

6  50 

9  13 

75  00 

7  10 

8  52 

7  07 

8  55 

7  03 

8  59 

7  00 

9  02 

6  57 

9  05 

6  54 

9  08 

80  00 

7  16 

8  46 

7  13 

8  49 

7  09 

8  53 

7  06 

8  56 

7  03 

8  59 

7  00 

9  02 

85  00 

7  20 

8  41 

7  17 

8  44 

7  13 

8  48 

7  10 

8  51 

7  07 

8  54 

7  04 

8  57 

90  00 

+7  24 

8  36 

+7  21 

8  39 

+7  17 

8  43 

+7  14 

8  46 

+7  11 

8  49 

+7  08 

8  52 

1 

Additio 

NAL  Cork. 

Day  of  Month. 

Jan. 

Feb. 

Mar. 

Apr. 

May. 

June. 

July. 

Aug. 

Sept. 

Oct. 

Nov. 

Dec. 

„ 

„ 

// 

// 

// 

It 

// 

II 

// 

" 

/' 

" 

FOR  Si 

jn's  Alt. 

1st 

to  15th.... 

+18 

+15 

+8 

0 

-  8 

-13 

-14 

-11 

-5 

+3 

+11 

+16 

16tl 

1  to  31st... 

+17 

+12 

+4 

-4 

-11 

-14 

-13 

-  9 

-1 

+7 

+14 

+18 

*The 

corrections  for  the  ol 

jserved  altitude  of  a 

Star  or  Planet  involves  the  dip  and  the  refraction;  and  for  the  observed  altitude 

lof  theSun 

's  lower  limb,  the  d 

p,  refraction,  paralh 

IX,  and  mean  semidiameter,  which  is  taken  as  16'.   A  supplementary  correction 
ameter  in  the  diflerent  months  of  the  year  is  given  at  the  foot  of  the  main  table. 

Itakingaa 

»unt  of  the  variatioi 

1  of  the  Sun's  semid 

TABLE  I. 

[Page  17 

CorrectionB*  to  be  Applied  to  the  Observed  Altitude  of  a  Star 

or  of  the  Sun's  Lower  Limb,  to  Find 

the  True  Altitude — Continued.                                                            1 

Obs.  Alt. 

HEIGHT  OF  THE  EYE.                                                                            1 

83  Feet. 

84  Feet. 

85  Feet.          1 

86  Feet.          1 

87  Feet. 

88  Feet.         1 

* 

* 

* 

« 

if 

* 

Sun's 
Corr. 

Star's 
Corr. 
(-) 

Sun's 
Corr. 

Star's 
Corr. 
(-) 

Sun's 
Corr. 

Star's 
Corr. 
(-) 

Sun's 
Corr. 

Star's 
Corr. 
(-) 

O 
Sun's 
Corr. 

Star's 
Corr. 
(-) 

O 
Sim's 
Corr. 

Star's 
Corr. 
(-) 

6  30 

-0  41 

16  50 

-0  44 

16  53 

-0  47 

16  56 

-0  50 

16  59 

-0  53 

17  02 

-0  57 

17  06 

40 

-0  31 

16  40 

-0  34 

16  43 

-0  37 

16  46 

-0  40 

16  49 

-0  43 

16  52 

-0  47 

16  56 

50 

-0  21 

16  30 

-0  24 

16  33 

-0  27 

16  36 

-0  30 

16  39 

-0  33 

16  42 

-0  37 

16  46 

7  00 

-0  11 

16  20 

-0  14 

16  23 

-0  17 

16  26 

-0  20 

16  29 

-0  23 

16  32 

-0  27 

16  36 

10 

-0  02 

16  11 

-0  05 

16  14 

-0  08 

16  17 

-0  11 

16  20 

-0  14 

16  23 

-0  18 

16  27 

20 

+0  07 

16  02 

+0  04 

16  05 

+0  01 

16  08 

-0  02 

16  11 

-0  05 

16  14 

-0  09 

16  18 

7  30 

0  16 

15  53 

0  13 

15  56 

0  10 

15  59 

+0  07 

16  02 

+0  04 

16  05 

0  00 

16  09 

40 

0  24 

15  45 

0  21 

15  48 

0  18 

15  51 

0  15 

15  54 

0  12 

15  57 

+0  08 

16  01 

50 

0  32 

15  37 

0  29 

15  40 

0  26 

15  43 

0  23 

15  46 

0  20 

15  49 

0  16 

15  53 

8  00 

0  40 

15  29 

0  37 

15  32 

0  34 

15  35 

0  31 

15  38 

0  28 

15  41 

0  24 

15  45 

10 

0  47 

15  22 

0  44 

15  25 

0  41 

15  28 

0  38 

15  31 

0  35 

15  34 

0  31 

15  38 

20 

0  54 

15  15 

0  51 

15  18 

0  48 

15  21 

0  45 

15  24 

0  42 

15  27 

0  38 

15  31 

8  30 

1  01 

15  08 

0  58 

15  11 

0  55 

15  14 

0  52 

15  17 

0  49 

15  20 

0  45 

15  24 

40 

1  08 

15  01 

1  05 

15  04 

1  02 

15  07 

0  59 

15  10 

0  56 

15  13 

0  52 

15  17 

50 

1  14 

14  55 

1  11 

14  58 

1  08 

15  01 

1  05 

15  04 

1  02 

15  07 

0  58 

15  11 

9  00 

1  20 

14  49 

1  17 

14  52 

1  14 

14  55 

1  11 

14  58 

1  08 

15  01 

1  04 

15  05 

20 

1  32 

14  37 

1  29 

14  40 

1  26 

14  43 

1  23 

14  46 

1  20 

14  49 

1  16 

14  53 

40 

1  43 

14  26 

1  40 

14  29 

1  37 

14  32 

1  34 

14  35 

1  31 

14  38 

1  27 

14  42 

10  00 

1  54 

14  15 

1  51 

14  18 

1  48 

14  21 

1  45 

14  24 

1  42 

14  27 

1  38 

14  31 

20 

2  04 

14  05 

2  01 

14  08 

1  58 

14  11 

1  55 

14  14 

1  52 

14  17 

1  48 

14  21 

40 

2  13 

13  56 

2  10 

13  59 

2  07 

14  02 

2  04 

14  05 

2  01 

14  08 

1  57 

14  12 

11  00 

2  22 

13  47 

2  19 

13  50 

2  16 

13  53 

2  13 

13  56 

2  10 

13  59 

2  06 

14  03 

30 

2  34. 

13  35 

2  31 

13  38 

2  28 

13  41 

2  25 

13  44 

2  22 

13  47 

2  18 

13  51 

12  00 

2  45 

13  24 

2  42 

13  27 

2  39 

13  30 

2  36 

13  33 

2  33 

13  36 

2  29 

13  40 

30 

2  56 

13  13 

2  53 

13  16 

2  50 

13  19 

2  47 

13  22 

2  44 

13  25 

2  40 

13  29 

13  00 

3  06 

13  03 

3  03 

13  06 

3  00 

13  09 

2  57 

13  12 

2  54 

13  15 

2  50 

13  19 

30 

3  15 

12  54 

3  12 

12  57 

3  09 

13  00 

3  06 

13  03 

3  03 

13  06 

2  59 

13  10 

14  00 

3  23 

12  46 

3  20 

12  49 

3  17 

12  52 

3  14 

12  55 

%  11 

12  58 

3  07 

13  02 

15  00 

3  39 

12  30 

3  36 

12  33 

3  33 

12  36 

3  30 

12  39 

3  27 

12  42 

3  23 

12  46 

16  GO 

3  52 

12  17 

3  49 

12  20 

3  46 

12  23 

3  43 

12  26 

3  40 

12  29 

3  36 

12  33 

17  00 

4  05 

12  04 

4  02 

12  07 

3  59 

12  10 

3  56 

12  13 

3  53 

12  16 

3  49 

12  20 

IS  00 

4  15 

11  54 

4  12 

11  57 

4  09 

12  00 

4  06 

12  03 

4  03 

12  06 

3  59 

12  10 

19  00 

4  25 

11  44 

4  22 

11  47 

4  19 

11  50 

4  16 

11  53 

4  13 

11  56 

4  09 

12  00 

20  00 

4  33 

11  35 

4  30 

11  38 

4  27 

11  41 

4  24 

11  44 

4  21 

11  47 

4  17 

11  51 

22  00 

4  49 

11  19 

4  46 

11  22 

4  43 

11  25 

4  40 

11  28 

4  37 

11  31 

4  33 

11  35 

24  00 

5  02 

11  06 

4  59 

11  09 

4  56 

11  12 

4  53 

11  15 

4  50 

11  18 

4  46 

11  22 

26  00 

5  13 

10  55 

5  10 

10  58 

5  07 

11  01 

5  04 

11  04 

5  01 

11  07 

4  57 

11  11 

28  00 

5  23 

10  45 

5  20 

10  48 

5  17 

10  51 

5  14 

10  54 

5  11 

10  57 

5  07 

11  01 

30  00 

5  31 

10  37 

5  28 

10  40 

5  25 

10  43 

5  22 

10  46 

5  19 

10  49 

5  15 

10  53 

32  00 

5  39 

10  29 

5  36 

10  32 

5  33 

10  35 

5  30 

10  38 

5  27 

10  41 

5  23 

10  45 

34  00 

5  46 

10  22 

5  43 

10  25 

5  40 

10  28 

5  37 

10  31 

5  34 

10  34 

5  30 

10  38 

36  00 

5  52 

10  16 

5  49 

10  19 

5  46 

10  22 

5  43 

10  25 

5  40 

10  28 

5  36 

10  32 

38  00 

5  57 

10  11 

5  54 

10  14 

5  51 

10  17 

5  48 

10  20 

5  45 

10  23 

5  41 

10  27 

40  00 

6  02 

10  05 

5  59 

10  08 

5  56 

10  11 

5  53 

10  14 

5  50 

10  17 

5  46 

10  21 

45  00 

6  13 

9  54 

6  10 

9  57 

6  07 

10  00 

6  04 

10  03 

6  01 

10  06 

5  57 

10  10 

50  00 

6  21 

9  45 

6  18 

9  48 

6  15 

9  51 

6  12 

9  54 

6  09 

9  57 

6  05 

10  01 

55  00 

6  28 

9  37 

6  25 

9  40 

6  22 

9  43 

6  19 

9  46 

6  16 

9  49 

6  12 

9  53 

60  00 

6  34 

9  30 

6  31 

9  33 

6  28 

9  36 

6  25 

9  39 

6  22 

9  42 

6  18 

9  46 

65  00 

6  41 

9  23 

6  38 

9  26 

6  35 

9  29 

6  32 

9  32 

6  29 

9  35 

6  25 

9  39 

70  00 

6  46 

9  17 

6  43 

9  20 

6  40 

9  23 

6  37 

9  26 

6  34 

9  29 

6  30 

9  33 

75  00 

6  50 

9  12 

6  47 

9  15 

6  44 

9  18 

6  41 

9  21 

6  38 

9  24 

6  34 

9  28 

80  00 

6  56 

9  06 

6  53 

9  09 

6  50 

9  12 

6  47 

9  15 

6  44 

9  18 

6  40 

9  22 

85  00 

7  00 

9  01 

6  57 

9  04 

6  54 

9  07 

6  51 

9  10 

6  48 

9  13 

6  44 

9  17 

90  00 

+7  04 

8  56 

+7  01 

8  59 

+6  58 

9  02 

+6  55 

9  05 

+6  52 

9  08 

+6  48 

9  12 

J 

Additio 

NAL  COEE 

Day  of  Month. 

Jan. 

Feb. 

Mar. 

Apr 

.    May. 

June. 

July. 

Aug. 

Sept. 

Oct. 

Nov. 

Dec. 

n 

'/ 

It 

n 

// 

" 

n 

It 

/' 

11 

" 

// 

FOB  St 

rN's  Alt. 

Istl 

to  15th.... 

+18 

+15 

+8 

0 

-  8 

-13 

-14 

-11 

-5 

+3 

+11 

+16 

16th 

L  to  Slst... 

+17 

+12 

+4 

-4 

-11 

-14 

-13 

-  9 

-1 

+7 

+14 

+18 

♦The 

3orrectionj 

sfortheot 

served  altitude  of  a 

Star  or  Planet  involves  the  dip 

and  the  refraction;  and  for  the  observed  altitude 

of  the  Sun 

's  lower  lii 

nb,  the  dr 

p,  refraction,  paralla 

X,  and  mean  semidiameter,  w 

hich  is  taken  as  16'.  A  supplementary  correction 
s  of  the  year  is  given  at  the  foot  of  the  main  table. 

taking  ace 

ount  of  th 

evariatioi 

1  of  the  Sun's  semid 

ameter  in  the  diSerent  month 

55901°— IJ 


Page  18] 

TABLE  I.                                                             1 

Corrections*  to  be  Applied  to  the  Observed  Altitude  of  a  Star  or  of  the  Sun's  Lower  Limb,  to  Find  1 

the  True  Altitude — Continued.                                                             1 

Ob8.  Alt. 

HEIGHT  OF  THE  EYE.                                                                            1 

89  Feet. 

90  Feet. 

91  Feet. 

92  Feet. 

93  Feet. 

94  Feet.         1 

* 

« 

4> 

* 

* 

Id 

Son's 
Con. 

Star's 
Corr. 
(-) 

Sun's 
Corr. 

Star's 
Corr. 
(-) 

Sun's 
Corr. 

Star's 
Corr, 
(-) 

Sun's 
Corr. 

Star's 
Corr. 
(-) 

Sun's 
Corr. 

star's 
Corr. 
(-) 

Sun's 
Corr. 

Star's 
Corr. 
(-) 

6  30 

1     >/ 
-1  00 

17  09 

-1  03 

17  12 

-1  06 

17  15 

-1  09 

/     1/ 
17  18 

-1  12 

17  21 

-1  15 

17  24 

40 

-0  50 

16  59 

-0  53 

17  02 

-0  56 

17  05 

-0  59 

17  08 

-1  02 

17  11 

-1  05 

17  14 

50 

-0  40 

16  49 

-0  43 

16  52 

-0  46 

16  55 

-0  49 

16  58 

-0  52 

17  01 

-0  55 

17  04 

7  00 

-0  30 

16  39 

-0  33 

16  42 

-0  36 

16  45 

-0  39 

16  48 

-0  42 

16  51 

-0  45 

16  54 

10 

-0  21 

16  30 

-0  24 

16  33 

-0  27 

16  36 

-0  30 

16  39 

-0  33 

16  42 

-0  36 

16  45 

20 

-0  12 

16  21 

-0  15 

16  24 

-0  18 

16  27 

-0  21 

16  30 

-0  24 

16  33 

-0  27 

16  36 

7  30 

-0  03 

16  12 

-0  06 

16  15 

-0  09 

16  18 

-0  12 

16  21 

-0  15 

16  24 

-0  18 

16  27 

40 

+0  05 

16  04 

+0  02 

16  07 

-0  01 

16  10 

-0  04 

16  13 

-0  07 

16  16 

-0  10 

16  19 

50 

0  13 

15  56 

0  10 

15  59 

+0  07 

16  02 

+0  04 

16  05 

+0  01 

16  08 

-0  02 

16  11 

8  00 

0  21 

15  48 

0  18 

15  51 

0  15 

15  54 

0  12 

15  57 

0  09 

16  00 

+0  06 

16  03 

10 

0  28 

15  41 

0  25 

15  44 

0  22 

15  47 

0  19 

15  50 

0  16 

15  53 

0  13 

15  56 

20 

0  35 

15  34 

0  32 

15  37 

0  29 

15  40 

0  26 

15  43 

0  23 

15  46 

0  20 

15  49 

8  30 

0  42 

15  27 

0  39 

15  30 

0  36 

15  33 

0  33 

15  36 

0  30 

15  39 

0  27 

15  42 

40 

0  49 

15  20 

0  46 

15  23 

0  43 

15  26 

0  40 

15  29 

0  37 

15  32 

0  34 

15  35 

50 

0  55 

15  14 

0  52 

15  17 

0  49 

15  20 

0  46 

15  23 

0  43 

15  26 

0  40 

15  29 

9  00 

1  01 

15  08 

0  58 

15  11 

0  55 

15  14 

0  52 

15  17 

0  49 

15  20 

0  46 

15  23 

20 

1  13 

14  56 

1  10 

14  59 

1  07 

15  02 

1  04 

15  05 

1  01 

15  08 

0  58 

15  11 

40 

1  24 

14  45 

1  21 

14  48 

1  18 

14  51 

1  15 

14  54 

1  12 

14  57 

1  09 

15  00 

10  00 

1  35 

14  34 

1  32 

14  37 

1  29 

14  40 

1  26 

14  43 

1  23 

14  46 

1  20 

14  49 

20 

1  45 

14  24 

1  42 

14  27 

1  39 

14  30 

1  36 

14  33 

1  33 

14  36 

1  30 

14  39 

40 

1  54 

14  15 

1  51 

14  18 

1  48 

14  21 

1  45 

14  24 

1  42 

14  27 

1  39 

14  30 

11  00 

2  03 

14  06 

2  00 

14  09 

1  57 

14  12 

1  54 

14  15 

1  51 

14  18 

1  48 

14  21 

30 

2  15 

13  54 

2  12 

13  57 

2  09 

14  00 

2  06 

14  03 

2  03 

14  06 

2  00 

14  09 

12  00 

2  26 

13  43 

2  23 

13  46 

2  20 

13  49 

2  17 

13  52 

2  14 

13  55 

2  11 

13  58 

30 

2  37 

13  32 

2  34 

13  35 

2  31 

13  38 

2  28 

13  41 

2  25 

13  44 

2  22 

13  47 

13  00 

2  47 

13  22 

2  44 

13  25 

2  41 

13  28 

2  38 

13  31 

2  35 

13  34 

2  32 

13  37 

30 

2  56 

13  13 

2  53 

13  16 

2  50 

13  19 

2  47 

13  22 

2  44 

13  25 

2  41 

13  28 

14  00 

3  04 

13  05 

3  01 

13  08 

2  58 

13  11 

2  55 

13  14 

2  52 

13  17 

2  49 

13  20 

15  00 

3  20 

12  49 

3  17 

12  52 

3  14 

12  55 

3  11 

12  58 

3  08 

13  01 

3  05 

13  04 

16  00 

3  33 

12  36 

3  30 

12  39 

3  27 

12  42 

3  24 

12  45 

3  21 

12  48 

3  18 

12  51 

17  00 

3  46 

12  23 

3  43 

12  26 

3  40 

12  29 

3  37 

12  32 

3  34 

12  35 

3  31 

12  38 

18  00 

3  56 

12  13 

3  53 

12  16 

3  50 

12  19 

3  47 

12  22 

3  44 

12  25 

3  41 

12  28 

19  00 

4  06 

12  03 

4  03 

12  06 

4  00 

12  09 

3  57 

12  12 

3  54 

12  15 

3  51 

12  18 

20  00 

4  14 

11  54 

4  11 

11  57 

4  08 

12  00 

4  05 

12  03 

4  02 

12  06 

3  59 

12  09 

22  00 

4  30 

11  38 

4  27 

11  41 

4  24 

11  44 

4  21 

11  47 

4  18 

11  50 

4  15 

11  53 

24  00 

4  43 

11  25 

4  40 

11  28 

4  37 

11  31 

4  34 

11  34 

4  31 

11  37 

4  28 

11  40 

26  00 

4  54 

11  14 

4  51 

11  17 

4  48 

11  20 

4  45 

11  23 

4  42 

11  26 

4  39 

11  29 

28  00 

5  04 

11  04 

5  01 

11  07 

4  58 

11  10 

4  55 

11  13 

4  52 

11  16 

4  49 

11  19 

30  00 

5  12 

10  56 

5  09 

10  59 

5  06 

11  02 

5  03 

11  05 

5  00 

11  08 

4  57 

11  11 

32  00 

5  20 

10  48 

5  17 

10  51 

5  14 

10  54 

5  11 

10  57 

5  08 

11  00 

5  05 

11  03 

34  00 

5  27 

10  41 

5  24 

10  44 

5  21 

10  47 

5  18 

10  50 

5  15 

10  53 

5  12 

10  56 

36  00 

5  33 

10  35 

5  30 

10  38 

5  27 

10  41 

5  24 

10  44 

5  21 

10  47 

5  18 

10  50 

38  00 

5  38 

10  30 

5  35 

10  33 

5  32 

10  36 

5  29 

10  39 

5  26 

10  42 

5  23 

10  45 

40  00 

5  43 

10  24 

5  40 

10  27 

5  37 

10  30 

5  34 

10  33 

5  31 

10  36 

5  28 

10  39 

45  00 

5  54 

10  13 

5  51 

10  16 

5  48 

10  19 

5  45 

10  22 

5  42 

10  25 

5  39 

10  28 

50  00 

6  02 

10  04 

5  59 

10  07 

5  56 

10  10 

5  53 

10  13 

5  50 

10  16 

5  47 

10  19 

55  00 

6  09 

9  56 

6  06 

9  59 

6  03 

10  02 

6  00 

10  05 

5  57 

10  08 

5  54 

10  11 

60  00 

6  15 

9  49 

6  12 

9  52 

6  09 

9  55 

6  06 

9  58 

6  03 

10  01 

6  00 

10  04 

65  00 

6  22 

9  42 

6  19 

9  45 

6  16 

9  48 

6  13 

9  51 

6  10 

9  54 

6  07 

9  57 

70  00 

6  27 

9  36 

6  24 

9  39 

6  21 

9  42 

6  18 

9  45 

6  15 

9  48 

6  12 

9  51 

75  00 

6  31 

9  31 

6  28 

9  34 

6  25 

9  37 

6  22 

9  40 

6  19 

9  43 

6  16 

9  46 

80  00 

6  37 

9  25 

6  34 

9  28 

6  31 

9  31 

6  28 

9  34 

6  25 

9  37 

6  22 

9  40 

85  00 

6  41 

9  20 

6  38 

9  23 

6  35 

9  26 

6  32 

9  29 

6  29 

9  32 

6  26 

9  35 

90  00 

+6  45 

9  15 

+6  42 

9  18 

+6  39 

9  21 

+6  36 

9  24 

+6  33 

9  27 

+6  30 

9  30 

1 

Additio 

NAL  CORR. 

Day  of  Month. 

Jan. 

Feb. 

Mar. 

Apr 

May. 

June. 

July. 

Aug. 

Sept. 

Oct. 

Noi 

r.    Dec. 

// 

It 

/, 

„ 

„ 

II 

// 

II 

// 

II 

/ 

1         II 

FOE  Sr 

rN's  Alt. 

1st 

to  15th.... 

+18 

+15 

+8 

0 

-  8 

-13 

-14 

-11 

-5 

+3 

+1] 

L    +16 

16tl 

1  to  3l8t.. 

+17 

+12 

+4 

-4 

-11    -14 

-13 

-  9 

-1 

+7 

+1^ 

I   +18 

*The 

corrections  for  the  o 

Dserved  altitude  of  a 

Star  or  Planet  involves  the  dip  and  the  refraction;  and  for  the  observed  altitude 

ol  the  Sun 

'slower  limb,  the  di 

p,  refraction,  paralU 

IX,  and  mean  semidiameter,  which  is  taken  as  16'.  A  supplementary  correction 
ameter  in  the  diflerent  months  of  the  year  is  given  at  the  foot  of  the  main  table. 

takmgaoo 

ount  of  thev  ariatior 

I  of  the  Sun's  semid 

TABLE  I. 

[Page  19 

Corrections*  to  be  Applied  to  the  Observed  Altitude  of  a  Star  or  of  the  Sun's  Lower  Limb,  to  Find  | 

the  True  Altitude — Continued. 

Obs.  Alt. 

HEIGHT   OF  THE  EYE.                                                                            1 

95  Feet.         1 

96  Feet.         1 

97  Feet.         1 

98  Feet.         1 

99  Feet.          1 

100  Feet.        1 

:» 

* 

* 

* 

* 

* 

Sun's 
Corr. 

Star's 
Corr. 
(-) 

Sun's 
Corr. 

star's 
Corr. 
(-) 

Sun's 
Corr. 

Star's 
Corr. 
(-) 

Sun's 
Corr. 

star's 
Corr. 
(-) 

Sun's 
Corr. 

Star's 
Corr. 
(-) 

Sun's 
Corr. 

Star's 
Corr. 
(-) 

c       , 

/     /' 

/     // 

1     II 

/     // 

/     /, 

/     II 

,     1, 

1     II 

/     II 

/     II 

1     II 

I     II 

6  30 

-1  18 

17  27 

-1  21 

17  30 

-1  24 

17  33 

-1  27 

YJ  36 

-1  30 

17  39 

-1  33 

Yl  42 

40 

-1  08 

17  17 

-1  11 

17  20 

-1  14 

17  23 

-1  17 

17  26 

-1  20 

17  29 

-1  23 

17  32 

50 

-0  58 

17  07 

-1  01 

17  10 

-1  04 

17  13 

-1  07 

17  16 

-1  10 

17  19 

-1  13 

17  22 

7  00 

-0  48 

16  57 

-0  51 

17  00 

-0  54 

17  03 

-0  57 

17  06 

-1  00 

17  09 

-1  03 

17  12 

10 

-0  39 

16  48 

-0  42 

16  51 

-0  45 

16  54 

-0  48 

16  57 

-0  51 

17  00 

-0  54 

17  03 

20 

-0  30 

16  39 

-0  33 

16  42 

-0  36 

16  45 

-0  39 

16  48 

-0  42 

16  51 

-0  45 

16  54 

7  30 

-0  21 

16  30 

-0  24 

16  33 

-0  27 

16  36 

-0  30 

16  39 

-0  33 

16  42 

-0  36 

16  45 

40 

-0  13 

16  22 

-0  16 

16  25 

-0  19 

16  28 

-0  22 

16  31 

-0  25 

16  34 

-0  28 

16  37 

50 

-0  05 

16  14 

-0  08 

16  17 

-0  11 

16  20 

-0  14 

16  23 

-0  17 

16  26 

-0  20 

16  29 

8  00 

+0  03 

16  06 

0  00 

16  09 

-0  03 

16  12 

-0  06 

16  15 

-0  09 

16  18 

-0  12 

16  21 

10 

0  10 

15  59 

+0  07 

16  02 

+0  04 

16  05 

+0  01 

16  08 

-0  02 

16  11 

-0  05 

16  14 

20 

0  17 

15  52 

0  14 

15  55 

0  11 

15  58 

0  08 

16  01 

+0  05 

16  04 

+0  02 

16  07 

8  30 

0  24 

15  45 

0  21 

15  48 

0  18 

15  51 

0  15 

15  54 

0  12 

15  57 

0  09 

16  00 

40 

0  31 

15  38 

0  28 

15  41 

0  25 

15  44 

0  22 

15  47 

0  19 

15  50 

0  16 

15  53 

50 

0  37 

15  32 

0  34 

15  35 

0  31 

15  38 

0  28 

15  41 

0  25 

15  44 

0  22 

15  47 

9  00 

0  43 

15  26 

0  40 

15  29 

0  37 

15  32 

0  34 

15  35 

0  31 

15  38 

0  28 

15  41 

20 

0  55 

15  14 

0  52 

15  17 

0  49 

15  20 

0  46 

15  23 

0  43 

15  26 

0  40 

15  29 

40 

1  06 

15  03 

1  03 

15  06 

1  00 

15  09 

0  57 

15  12 

0  54 

15  15 

0  51 

15  18 

10  00 

1  17 

14  52 

1  14 

14  55 

1  11 

14  58 

1  08 

15,01 

1  05 

15  04 

1  02 

15  07 

20 

1  27 

14  42 

1  24 

14  45 

1  21 

14  48 

1  18 

14  51 

1  15 

14  54 

1  12 

14  57 

40 

1  36 

14  33 

1  33 

14  36 

1  30 

14  39 

1  27 

14  42 

1  24 

14  45 

1  21 

14  48 

11  00 

1  45 

14  24 

1  42 

14  27 

1  39 

14  30 

1  36 

14  33 

1  33 

14  36 

1  30 

14  39 

30 

1  57 

14  12 

1  54 

14  15 

1  51 

14  18 

1  48 

14  21 

1  45 

14  24 

1  42 

14  27 

12  00 

2  08 

14  01 

2  05 

14  04 

2  02 

14  07 

1  59 

14  10 

1  56 

14  13 

1  53 

14  16 

30 

2  19 

13  50 

2  16 

13  53 

2  13 

13  56 

2  10 

13  59 

2  07 

14  02 

2  04 

14  05 

13  00 

2  29 

13  40 

2  26 

13  43 

2  23 

13  46 

2  20 

13  49 

2  17 

13  52 

2  14 

13  55 

30 

2  38 

13  31 

2  35 

13  34 

2  32 

13  37 

2  29 

13  40 

2  26 

13  43 

2  23 

13  46 

14  00 

2  46 

13  23 

2  43 

13  26 

2  40 

13  29 

2  37 

13  32 

2  34 

13  35 

2  31 

13  38 

15  00 

3  02 

13  07 

2  59 

13  10 

2  56 

13  13 

2  53 

13  16 

2  50 

13  19 

2  47 

13  22 

16  00 

3  15 

12  54 

3  12 

12  57 

3  09 

13  00 

3  06 

13  03 

3  03 

13  06 

3  00 

13  09 

17  00 

3  28 

12  41 

3  25 

12  44 

3  22 

12  47 

3  19 

12  50 

3  16 

12  53 

3  13 

12  56 

18  00 

3  38 

12  31 

3  35 

12  34 

3  32 

12  37 

3  29 

12  40 

3  26 

12  43 

3  23 

12  46 

19  00 

3  48 

12  21 

3  45 

12  24 

3  42 

12  27 

3  39 

12  30 

3  36 

12  33 

3  33 

12  36 

20  00 

3  59 

12  12 

3  53 

12  15 

3  50 

12  18 

3  47 

12  21 

3  44 

12  24 

3  41 

12  27 

22  00 

4  12 

11  56 

4  09 

11  59 

4  06 

12  02 

4  03 

12  05 

4  00 

12  08 

3  57 

12  11 

24  00 

4  25 

11  43 

4  22 

11  46 

4  19 

11  49 

4  16 

11  52 

4  13 

11  55 

4  10 

11  58 

26  00 

4  36 

11  32 

4  33 

11  35 

4  30 

11  38 

4  27 

11  41 

4  24 

11  44 

4  21 

11  47 

28  00 

4  46 

11  22 

4  43 

11  25 

4  40 

11  28 

4  37 

11  31 

4  34 

11  34 

4  31 

11  37 

30  00 

4  54 

11  14 

4  51 

11  17 

4  48 

11  20 

4  45 

11  23 

4  42 

11  26 

4  39 

11  29 

32  00 

5  02 

11  06 

4  59 

11  09 

4  56 

11  12 

4  53 

11  15 

4  50 

11  18 

4  47 

11  21 

34  00 

5  09 

10  59 

5  06 

11  02 

5  03 

11  05 

5  00 

11  08 

4  57 

11  11 

4  54 

11  14 

36  00 

5  15 

10  53 

5  12 

10  56 

5  09 

10  59 

5  06 

11  02 

5  03 

11  05 

5  00 

11  08 

38  00 

5  20 

10  48 

5  17 

10  51 

5  14 

10  54 

5  11 

10  57 

5  08 

11  00 

5  05 

11  03 

40  00 

5  25 

10  42 

5  22 

10  45 

5  19 

10  48 

5  16 

10  51 

5  13 

10  54 

5  10 

10  57 

45  00 

5  36 

10  31 

5  33 

10  34 

5  30 

10  37 

5  27 

10  40 

5  24 

10  43 

5  21 

10  46 

50  00 

5  44 

10  22 

5  41 

10  25 

5  38 

10  28 

5  35 

10  31 

5  32 

10  34 

5  29 

10  37 

55  00 

5  51 

10  14 

5  48 

10  17 

5  45 

10  20 

5  42 

10  23 

5  39 

10  26 

5  36 

10  29 

60  00 

5  57 

10  07 

5  54 

10  10 

5  51 

10  13 

5  48 

10  16 

5  45 

10  19 

5  42 

10  22 

65  00 

6  04 

10  00 

6  01 

10  03 

5  58 

10  06 

5  55 

10  09 

5  52 

10  12 

5  49 

10  15 

70  00 

6  09 

9  54 

6  06 

9  57 

6  03 

10  00 

6  00 

10  03 

5  57 

10  06 

5  54 

10  09 

75  00 

6  13 

9  49 

6  10 

9  52 

6  07 

9  55 

6  04 

9  58 

6  01 

10  01 

5  58 

10  04 

80  00 

6  19 

9  43 

6  16 

9  46 

6  13 

9  49 

6  10 

9  52 

6  07 

9  55 

6  04 

9  58 

85  00 

6  23 

9  38 

6  20 

9  41 

6  17 

9  44 

6  14 

9  47 

6  11 

9  50 

6  08 

9  53 

90  00 

6  27 

9  33 

+6  24 

9  36 

+6  21 

9  39 

+6  IS 

9  42 

+6  15 

9  45 

+6  12 

9  48 

1 

Additio 

NAL  COEK. 

Day  of  Month. 

Jan. 

Feb.     J 

ifar. 

Apr 

.    May. 

Jime. 

July. 

Aug 

Sept. 

Oct. 

Nov. 

Dec. 

„ 

// 

It 

, 

1         ,1 

„ 

// 

// 

II 

// 

II 

/' 

FOB  8t 

ra's  Alt. 

1st 

to  15th. 

.. 

+18 

+15 

+8 

( 

)   -  8 

-13 

— 

14 

-11 

-5 

+3 

+11 

+16 

16tl 

1  to  3l8t 

... 

+17 

+12 

+4 

-A 

[    -11 

-14 

— 

13 

-  9 

-1 

+7 

+14 

+18 

*Tlie 

corrections  for  the  o 

)served  al 

titudeofa 

Star  or  Planet  involves  the  dip  and  the 

refraction ;  and  for  the  observed  altitude 

of  the  Sun 

'slower limb,  the  d 

p,  refract 

on,  paraUs 

IX,  and  mean  semidiameter,  which  is  ta 

ken  as  16'.  A  supplementary  correction 
sar  is  given  at  the  foot  of  the  main  table. 

Itakliigaoc 

ountof  thevariatioi 

X  of  the  Si 

n's  semidj 

ameter  in  the  different  months  of  the  y( 

TABLE  II 

CORRECTIONS  TO  BE  APPLIED  TO 

THE  OBSERVED  ALTITUDE  OF  THE 

MOON'S  UPPER  LIMB,  AND  ALSO  OF 

THE  LOWER  UMB 


The  height  of  the  eye  is  assumed  to  be  35  feet,  and  the  cor- 
rection for  other  elevations  is  given  at  the  bottom  of  the  table, 
and  is  ta  be  added  or  subtracted  according  as  the  height  of  the 
eye  is  less  or  greater  than  35  feet 


21 


Page  22] 

TABLE  II. 

Corrections  for  the  Observed  Altitudes  of  the  Moon's  Lower  Limb. 

Obs.  Alt. 
Lower 

HORIZONTAL 

PARALLAX. 

Limb. 

54' 

65' 

66' 

67' 

68' 

69' 

60' 

61' 

5  30 

6  ooa 
6  305 

53  46 

54  22 
54  51 

55  03 

56  38 
56  08 

56  19 

66  54 

67  24 

57  36 

58  11 
58  40 

58  53 

59  28 
59  57 

60  09 

60  44 

61  13 

*  ft 

61  27 

62  01 
62  29 

62  44 

63  18 
63  46 

7  00 

7  30 

8  00 

55  17 
55  39 
55  58 

56  33 
56  55 
67  15 

57  50 

58  12 
58  31 

59  06 
59  28 
59  47 

60  22 

60  44 

61  03 

61  38 

62  00 
62  19 

62  54 

63  16 
63  36 

64  11 
64  33 
64  52 

8  30 

9  00 
9  30 

56  15 
56  29 
56  42 

57  31 
57  45 

57  58 

58  47 

59  01 
59  13 

60  03 
60  16 
60  29 

61  19 
61  33 
61  45 

62  35 

62  49 

63  01 

63  62 

64  05 
64  17 

65  08 
65  20 
65  32 

10  00 

11 

12 

56  54 

57  10 
57  22 

58  10 
58  26 
68  37 

59  25 
59  41 
59  52 

60  40 

60  56 

61  07 

61  56 

62  12 
62  23 

63  11 
63  27 
63  39 

64  27 
64  43 
64  54 

65  43 

65  53 

66  09 

13 
14 
15 

57  29 
57  35 
57  35 

68  45 
58  50 
58  50 

59  59 

60  04 
60  04 

61  14 
61  18 
61  18 

62  30 
62  33 
62  33 

63  45 
63  48 
63  48 

65  00 
65  03 
65  03 

66  15 
66  17 
66  17 

16 
17 

18 

57  33 
57  30 
57  22 

58  47 
58  44 
58  36 

60  01 

59  57 
59  49 

61  15 
61  11 
61  03 

62  30 
62  25 
62  17 

63  45 
63  39 
63  31 

64  59 
64  53 
64  46 

66  13 
66  07 
65  59 

19 
20 
21 

57  15 
57  05 
55  53 

58  28 
58  18 
58  06 

59  41 
59  31 
59  18 

60  54 
60  44 
60  31 

62  08 
61  57 
61  44 

63  21 
63  10 
62  56 

64  36 
64  23 
64  09 

65  49 
65  36 
65  22 

22 
23 
24 

56  40 
56  26 
56  09 

57  52 
57  38 
57  20 

59  03 
58  49 
58  31 

60  15 
60  00 
59  42 

61  28 
61  12 
60  54 

62  40 
62  24 
62  06 

63  53 
63  36 

63  18 

65  05 
64  48 
64  29 

25 
26 
27 

55  51 
55  32 
55  12 

57  02 
56  43 
56  22 

58  13 
57  53 
57  32 

59  24 
59  03 
58  41 

60  36 
60  14 
59  51 

61  47 
61  25 
61  01 

62  58 
62  36 
62  12 

64  08 
63  46 
63  22 

28 
29 
30 

54  51 
54  28 
54  04 

56  00 
55  37 
55  13 

57  09 
56  46 
56  21 

58  18 
57  55 
57  29 

59  29 
59  05 
58  38 

60  38 
60  14 
59  47 

61  48 
61  23 
60  56 

62  57 
62  33 
62  05 

31 
32 
33 

53  39 
53  14 
52  47 

54  47 
54  22 
53  64 

55  55 
55  29 
55  01 

57  03 
56  36 
56  08 

58  12 
57  44 
57  15 

59  20 
58  52 
58  22 

60  28 
60  00 
59  29 

61  36 
61  07 
60  36 

34 
35 
36 

52  20 
51  51 
51  21 

53  26 
52  56 
52  26 

54  31 
54  01 
53  30 

55  37 
55  06 
54  35 

56  44 
56  12 
56  41 

57  50 
57  18 
56  46 

58  57 
58  24 
57  51 

60  03 
59  30 
58  65 

37 
38 
39 

50  51 
50  19 
49  47 

51  54 
51  23 
50  50 

52  57 
52  26 
51  52 

54  02 
53  29 
52  55 

55  07 
54  33 
53  58 

56  12 
55  37 
55  02 

57  17 
56  41 
56  05 

58  22 
57  45 
57  08 

40 
41 
42 

49  13 
48  38 
48  03 

50  15 
49  40 
49  04 

51  16 
50  41 
50  04 

52  18 
61  43 
61  05 

53  21 
52  45 
52  07 

54  24 
53  47 
53  09 

55  27 
54  49 
54  11 

56  30 
55  50 
55  12 

43 
44 
45 

47  28 
46  51 
46  13 

48  28 
47  51 
47  12 

49  28 
48  49 
48  10 

50  29 
49  49 
49  09 

51  30 
50  49 
50  09 

52  29 
51  48 
51  08 

53  30 
52  48 
52  07 

54  30 
53  47 
53  06 

46 
47 
48 

45  35 
44  55 
44  15 

46  33 
45  53 
45  13 

47  30 
46  50 
46  09 

48  28 
47  48 
47  06 

49  27 
48  46 
48  03 

50  26 
49  43 
48  59 

51  24 
50  41 
49  56 

52  22 
51  38 
50  52 

49 
50 
51 

43  36 
42  54 
42  12 

44  32 
43  50 
43  07 

45  27 
44  44 
44  01 

46  23 
45  39 
44  55 

47  19 
46  34 
45  50 

48  15 
47  30 
46  44 

49  11 
48  25 
47  38 

50  06 
49  20 
48  32 

52 
53 
54 

41  30 
40  46 
40  02 

42  23 
41  39 
40  54 

43  16 
42  31 
41  45 

44  09 
43  24 
42  37 

45  04 
44  17 
43  30 

45  57 
45  09 
44  21 

46  51 
46  02 
45  13 

47  44 
46  54 
46  04 

55 
56 
57 

39  17 
38  33 
37  47 

40  09 
39  23 
38  37 

40  59 
40  13 
39  26 

41  50 
41  02 
40  14 

42  42 
41  53 
41  04 

43  32 
42  44 
41  53 

44  23 
43  34 
42  43 

45  14 
44  24 
43  32 

58 
59 
60 

37  01 
36  15 
35  28 

37  50 
37  03 
36  15 

38  38 
37  49 
37  00 

39  25 
38  36 
37  46 

40  14 
39  24 
38  34 

41  03 
40  11 
39  20 

41  52 
40  69 
40  06 

42  39 
41  46 
40  52 

61 
62 
63 

34  39 
33  50 
33  02 

35  25 
34  35 
33  46 

36  10 
35  19 
34  29 

36  66 
36  04 
35  13 

37  42 
36  49 
35  57 

38  27 
37  34 
36  41 

39  13 
38  19 
37  25 

39  58 
39  03 
38  08 

TABLE  II. 

[Page  23 

Corrections  for  the  Observed  Altitudes  of  the  Moon's  Lower  Limb. 

Obs.  Alt. 
Lower 
Limb. 

HORIZONTAL  PARALLEX. 

54' 

65' 

56' 

67' 

68' 

69' 

60' 

61' 

64 
65 
66 

32  13 
31  23 
30  33 

32  56 
32  06 
31  14 

/    // 

33  38 
32  47 
31  54 

34  21 
33  28 
32  35 

t     n 

35  05 
34  11 
33  17 

35  47 
34  52 
33  57 

36  30 
35  34 
34  38 

37  13 
36  16 
35  19 

67 
6S 
69 

29  42 
28  51 
27  59 

30  22 
29  31 
28  38 

31  01 
30  09 
29  15 

31  41 
30  47 
29  53 

32  22 
31  27 
30  32 

33  01 
32  06 
31  10 

33  41 
32  45 
31  48 

34  21 
33  24 
32  26 

70 
71 

72 

27  07 
26  15 
25  23 

27  46 
26  52 
25  58 

28  22 
27  27 
26  32 

28  59 
28  04 
27  08 

29  36 
28  40 
27  43 

30  14 
29  16 
28  19 

30  51 
29  53 
28  54 

31  27 
30  28 
29  28 

73 
74 
75 

24  30 
23  37 
22  44 

25  05 
24  11 
23  16 

25  38 
24  43 
23  47 

26  12 
25  16 
24  19 

26  46 
25  49 
24  53 

27  21 
26  22 
25  25 

27  55 
26  56 
25  57 

28  29 
27  28 
26  28 

76 

77 
78 

21  51 

20  57 
20  02 

22  22 
21  27 
20  32 

22  52 
21  56 
21  00 

23  23 
22  26 
21  29 

23  55 
22  57 
21  59 

24  26 
23  27 
22  27 

24  57 
23  57 
22  56 

25  27 
24  26 
23  25 

79 
80 

81 

19  08 
18  13 
17  19 

19  36 
18  41 
17  45 

20  04 
19  07 
18  10 

20  31 
19  33 
18  35 

2100 
20  01 
19  02 

21  27 
20  27 
19  27 

21  56 
20  55 
19  55 

22  23 
21  22 
20  21 

82 
83 
84 

16  24 
15  29 
14  33 

16  49 
15  53 
14  57 

17  13 
16  16 
15  19 

17  37 
16  40 
15  42 

18  03 
17  04 
16  05 

18  28 
17  27 
16  27 

18  54 
17  52 
16  50 

19  IS 
18  16 
17  13 

85 
86 
87 

13  38 
12  43 
11  47 

14  00 
13  04 
12  08 

14  21 
13  24 
12  26 

14  43 
13  45 
12  46 

15  05 
14  06 
13  06 

15  27 
14  27 
13  26 

15  49 
14  48 
13  46 

16  10 
15  08 
14  05 

88 
89 
90 

10  52 
9  56 
9  00 

11  11 

10  15 
9  18 

11  28 
10  31 
9  34 

11  47 
10  49 
9  50 

12  06 
11  07 
10  07 

12  24 
11  24 
10  23 

12  44 
11  42 
10  41 

13  82 
11  59 
10  57 

Height  of  Eye  Coeeection. 

Height  in  feet. 

Correction. 

10 

+2    42 

12 

+2    24 

14 

+2    08 

16 

+  1    53 

18 

+  1    39 

20 

+  1    25 

22 

+  1     12 

24 

+  1    00 

26 

+0    48 

28 

+0    37 

30 

+0    26 

35 

0    00 

40 

-0    24 

45 

-0    48 

50 

-1    08 

55 

-1    28 

60 

-1    47 

65 

-2    06 

70 

-2    24 

75 

-2    41 

80 

-2    58 

85 

-3    14 

90 

-3    30 

95 

-3    45 

100 

-4    00 

Page  24]  TABLE  II. 

Corrections  for  the  Observed  Altitude  of  the  Moon's  Upper  Limb. 


Obs.  Alt. 
Upper 
Limb. 


HORIZONTAL  PARALLAX. 


65' 


56' 


68' 


59' 


60' 


61' 


5  30 

6  00 

6  30 

7  00 

7  30 

8  00 

8  30 

9  00 
9  30 

10  00 

n 

12 

13 
14 
15 

16 
17 

18 

19 
20 
21 

22 
23 
24 

25 
26 
27 

28 
29 
30 

31 
32 
33 

34 
35 
36 

37 
38 
39 

40 
41 
42 

43 
44 

46 

46 
47 
48 

49 
60 
51 

62 
53 
64 

55 
66 

57 

58 
59 
60 

61 
62 
63 


23  38 

24  18 

24  52 

25  21 

25  47 

26  09 

26  28 

26  45 

27  00 

27  10 
27  31 
27  45 

27  54 

27  59 

28  01 

28  01 
27  58 
27  51 

27  44 
27  34 
27  23 

27  10 
26  55 
26  39 

26  22 
26  03 
25  43 

25  21 
24  59 
24  36 

24  12 
23  45 
23  19 

22  51 
22  22 
21  53 

21  23 
20  51 
20  19 

19  46 
19  11 
18  37 

18  00 
17  24 
16  46 

16  07 
15  28 
14  48 

14  07 
13  26 
12  44 

12  02 
11  19 
10  36 

9  51 
9  06 
8  21 

7  35' 
6  48 
6  00 

5  12 
4  23 
3  35 


24  21 

25  01 

25  35 

26  04 
26  30 

26  52 

27  U 
27  27 
27  42 

27  53 

28  13 
28  27 

28  36 
28  40 
28  42 

28  42 
28  39 
28  32 

28  24 
28  13 
28  03 

27  49 
27  33 
27  17 

27  00 
26  40 
26  20 

25  68 
25  35 
25  11 

24  47 
24  20 
23  53 

23  24 
22  56 
22  25 

21  54 
21  22 
20  49 

20  15 
19  40 
19  05 

18  27 
17  50 
17  12 

16  33 
15  53 
15  12 

14  31 
13  49 
13  06 

12  23 
11  39 
10  54 

10  09 
9  23 
8  37 

7  50 
7  02 
6  13 

5  24 
4  35 
3  46 


25  05 

25  44 

26  18 

26  48 

27  13 
27  35 

27  64 

28  10 
28  24 

28  36 

28  55 

29  10 

29  18 
29  22 
29  24 

29  23 
29  20 
29  13 

29  05 
28  54 
28  43 

28  29 
28  12 
27  66 

27  38 
27  18 
26  68 

26  35 
26  12 
25  47 

25  22 
24  55 
24  27 

23  68 
23  28 
22  68 

22  26 
21  53 
21  20 

20  45 
20  09 
19  33 

18  55 
18  17 
17  38 

16  58 
16  18 
15  36 

14  65 
14  11 
13  27 

12  44 
11  59 
11  13 

10  27 
9  40 
8  53 

8  05 
7  17 
6  27 

5  37 
4  48 
3  57 


25  48 

26  27 

27  02 

27  31 

27  56 

28  18 

28  37 

28  63 

29  06 

29  19 
29  38 

29  62 

30  00 
30  05 
30  06 

30  04 
30  01 

29  54 

29  45 
29  34 
29  23 

29  08 
28  52 
28  35 

28  17 
27  56 
27  36 

27  12 
26  48 
26  24 

25  57 
25  30 
25  01 

24  32 
24  01 
23  30 

22  58 
22  24 
21  50 

21  15 
20  38 
20  01 

19  23 
18  45 
18  04 

17  24 
16  43 
16  00 

15  17 
14  34 
13  49 

13  05 
12  19 
11  32 

10  45 
9  58 
9  10 

8  21 
7  32 
6  41 

5  50 
5  00 
4  08 


26  31 

27  10 

27  44 

28  13 

28  39 

29  01 

29  20 
29  36 

29  49 

30  01 
30  21 
30  34 

30  42 
30  47 
30  48 

30  45 
30  42 
30  34 

30  26 
.30  14 
30  02 

29  47 
29  30 
29  13 

28  65 
28  34 
28  12 

27  48 
27  24 
26  59 

26  32 
26  04 
25  35 

25  05 
24  34 
24  02 

23  29 
22  54 
22  20 

21  45 
21  06 
20  29 

19  60 
19  11 
18  30 

17  49 
17  07 
16  24 

15  40 
14  66 
14  10 

13  25 
12  38 
11  61 

11  03 
10  15 
9  26 

8  36 
7  46 
6  55 

6  04 
5  12 
4  19 


27  13 

27  54 

28  28 

28  57 

29  22 

29  44 

30  03 
30  19 
30  32 

30  44 

31  03 
31  16 

31  24 
31  29 
31  30 

31  27 
31  23 
31  15 

31  06 
30  54 
30  41 

30  27 
30  09 
29  52 

29  33 
29  12 

28  49 

28  25 
28  01 
27  35 

27  07 
26  39 
26  09 

25  39 
25  07/ 
24  34 

24  00 
23  25 
22  50 

22  14 
21  35 
20  57 

20  18 
19  37 
18  56 

18  14 
17  32 
16  48 

16  04 
15  19 
14  32 

13  46 
12  59 
12  11 

11  23 
10  32 
9  43 

8  62 
8  01 
7  09 

6  17 
5  23 
4  30 


27  56 

28  37 

29  11 

29  40 

30  05 
30  27 

30  46 

31  02 
31  15 

31  27 
31  46 

31  58 

32  07 
32  11 
32  11 

32  09 
32  04 
31  55 

31  46 
31  34 
31  21 

31  06 
30  49 
30  31 

30  11 

29  49 
29  26 

29  03 
28  37 
28  10 

27  43 
27  14 
26  43 

26  12 
25  40 
25  07 

24  31 
23  56 
23  20 

22  43 
22  04 
21  25 

20  45 
20  04 
19  22 

18  40 
17  57 
17  12 

16  27 
15  41 
14  54 

14  07 
13  19 
12  30 

11  41 
10  49 
9  59 

9  07 
8  16 
7  23 

6  29 
5  35 
4  40 


28  38 

29  19 

29  54 

30  24 

30  48 

31  09 

31  28 
31  44 

31  57 

32  09 
32  28 
32  40 

32  49 
32  52 
32  52 

32  50 
32  45 
32  35 

32  26 
32  15 
32  01 

31  45 
31  27 
31  10 

30  48 
30  26 
30  03 

29  39 
29  12 
28  46 

28  18 
27  48 
27  17 

26  45 
26  12 
25  39 

25  03 
24  28 
23  50 

23  12 
22  33 
21  54 

21  13 
20  32 
19  48 

19  05 
18  21 
17  36 

16  50 
16  03 
15  15 

14  27 
13  38 
12  49 

11  69 
11  06 
10  15 

9  22 
8  30 
7  36 

6  42 
5  46 
4  61 


TABLE  II. 

[Page  25 

Corrections  for  the  Observed  Altitude  of  the  Moon's  Upper  Limb. 

Obs.  Alt. 
Uppee 
Limb. 

HORIZONTAL  PARALLAX. 

64' 

55' 

56' 

67' 

58' 

5^ 

60' 

61' 

o    n 

,     n 

,     n 

/    If 

/       H 

,     n 

/    It 

,  „ 

,    ,, 

64 
65 
66 

2  46 
1  56 
1  06 

2  56 
204 
1  14 

3  06 
2  13 
1  22 

3  16 
2  23 
1  31 

3  26 
2  32 
1  39 

3  36 
2  42 
1  47 

3  46 
2  51 

1  55 

3  56 
3  00 
2  03 

67 
68 
69 

0  16 

0  22 

0  29 

0  37 

0  44 

0  51 
0  04 

0  58 
0  02 

1  06 
008 

0  36 

1  27 

0  30 

1  22 

0  24 

1  17 

0  17 

1  11 

Oil 
1  06 

102 

0  57 

0  51 

70          g 

72          g 

2  19 

3  11 

4  03 

2  15 

3  OS 

4  01 

2  11 

3  05 
3  59 

2  06 

3  01 
3  56 

2  02 

2  58 

3  54 

1  58 

2  55 

3  52 

1  54 

2  52 

3  50 

1  50 

2  48 

3  48 

73          g 

74 

75 

4  55 

5  49 

6  43 

4  56 

5  50 

6  44 

4  54 

5  49 

6  44 

4  52 

5  48 

6  45 

4  51 

5  48 

6  46 

4  50 

5  48 

6  47 

4  49 

5  48 

6  48 

4  47 

5  47 

6  48 

76 
77 
78 

7  37 

8  31 

9  25 

7  39 

8  34 

9  29 

7  40 

8  37 

9  33 

7  42 

8  39 

9  36 

7  44 

8  42 

9  40 

7  45 

8  44 

9  44 

7  47 

8  47 

9  48 

7  49 

8  50 

9  51 

79 
80 
81 

10  19 

11  13 

12  08 

10  24 

11  20 

12  15 

10  29 

11  26 

12  22 

10  33 

11  31 

12  28 

10  38 

11  37 

12  35 

10  43 

11  43 

12  42 

10  48 

11  49 

12  50 

10  52 

11  54 

12  57 

82 
83 

84 

13  03 

13  58 

14  53 

13  11 

14  07 

15  04 

13  19 

14  16 

15  14 

13  27 

14  25 

15  23 

13  34 

14  34 

15  33 

13  43 

14  43 

15  44 

13  51 

14  52 

15  54 

13  59 

15  01 

16  03 

85 
86 
87 

15  48 

16  44 

17  39 

16  00 

16  57 

17  53 

16  11 

17  09 

18  06 

16  21 

17  20 

18  18 

16  33 

17  32 

18  32 

16  44 

17  45 

18  45 

16  55 

17  57 

18  59 

17  06 

18  08 

19  11 

88 
89 
90 

18  35 

19  31 

20  26 

18  50 

19  47 

20  43 

19  04 

20  02 

21  00 

19  18 

20  16 

21  15 

19  32 

20  31 

21  31 

19  46 

20  47 

21  48 

20  00 

21  03 

22  04 

20  14 

21  17 

22  20 

Height  of  Ete  Coeeection. 

Height  in  feet. 

Correction. 

10 

+2    42 

12 

+2    24 

14 

+2    08 

16 

+  1    53 

18 

+  1    39 

20 

+  1    25 

22 

+  1    12 

24 

+  1    00 

26 

+  0    48 

28 

+  0    37 

30 

+0    26 

35 

0    00 

40 

-0    24 

45 

-0    48 

50 

-1    08 

55 

-1    28 

60 

-1    47 

65 

-2    06 

70 

-2    24 

75 

-2    41 

80 

-2    58 

85 

-3    14 

90 

-3    30 

95 

-3    45 

100 

-4    00 

TABLE  III 

LOGARITHMIC  SINES 

AND 

LOGARITHMIC  COSINES 


27 


Page  28] 

TABLE  III. 

Log 

.  Sines. 

0°  0' 

0°  10' 

2  Eh 

"'.2 

0°  20' 

■a  d 

0°  30' 

0°  40' 

t3§ 
■OH 

0°  60' 

•oS 

1°  0' 

•oS 

1°  10' 

T3§ 

''■2 

•o  3 
1°  20'  -OH 

+  0' 

10" 

20 

30 

40 

60 

■(-  1' 

10" 

20 

30 

40 

60 

+  2' 

10" 

20 

30 

40 

60 

4-  3' 

10" 

20 

30 

40 

60 

+  4' 

10" 

20 

30 

40 

60 

+  5' 

10' 

20 

30 

40 

60 

+  6' 

10" 

20 

30 

40 

60 

4-  7' 

10' 

20 

30 

40 

60 

+  8' 

10" 

20 

30 

40 

60 

+  9' 

10" 

20 

30 

40 

60 

flO' 

— oo 

0 
0 
0 
0 
0 

0 

0 
0 
0 
0 
0 

0 

0 
0 
0 
0 
0 

0 

0 
0 
0 
0 
0 

0 

0 
0 
0 
0 
0 

0 

0 
0 
0 
0 
0 

0 

0 
0 
0 
0 
0 

0 

0 
0 
0 
0 
0 

0 

0 
0 
0 
0 
0 

0 

0 
0 
0 
0 
0 

0 

7.46373 

0 

0 
0 
0 
0 
0 

0 

0 
0 
0 
0 
0 

0 

0 
0 
0 
0 
0 

0 

0 
0 
0 
0 
0 

0 

0 
0 
0 
0 
0 

0 

0 
0 
0 
0 
0 

0 

0 
0 

1 

7.76475 

1 

2 
2 

2 

2 
2 
2 
2 
2 

2 

7.94084 

2 

2 
2 
2 
2 
2 

2 

2 
2 
2 
2 
2 

2 

2 
2 
2 
2 
2 

2 

2 
2 
2 
2 
2 

2 

2 
2 
2 
2 
2 

2 

2 
2 
2 
2 

2 

2 

2 
2 
2 
2 
2 

3 

3 
3 
3 
3 
3 

3 

3 
3 
3 
3 
3 

3 

3 
3 
3 
3 
3 

3 

8.06578 

3 

3 
3 
3 
3 
3 

3 

3 
3 
3 
3 
3 

3 

3 
3 
3 
3 
3 

3 

3 
3 
3 

4 
4 

4 

4 
4 
4 
4 
4 

4 

4 
4 
4 
4 
4 

4 

4 
4 
4 
4 
4 

4 

4 
4 
4 
4 
4 

4 

4 

4 
4 
4 
4 

4 

4 
4 
5 
5 
5 

5 

8.16268 

6 

6 
5 
5 
6 
5 

5 

5 
5 
5 
5 
5 

5 

5 
5 
5 
5 
5 

5 

5 
5 
5 
5 
5 

5 

5 
5 
5 
5 
6 

6 

6 
6 
6 
6 
6 

6 

6 
6 
6 
6 
6 

6 

6 
6 
6 
6 
6 

6 

6 
6 
6 
6 
6 

6 

6 
6 

7 
7 

7 

7 

8.24186 

7 

7 
7 
7 
7 
7 

7 

7 
7 
7 
7 
7 

7 

7 
7 
7 
7 
7 

7 

7 
7 
7 
8 
8 

8 

8 
8 
8 
8 
8 

8 

8 
8 
8 
8 
8 

8 

8 
8 
8 
8 
8 

8 

8 
8 
8 
8 
8 

8 

9 
9 
9 
9 
9 

9 

9 
9 
9 
9 
9 

9 

8.30879 

9 

0 
9 
9 
9 
9 

9 

9 
9 
9 
9 
9 

10 

10 
10 
10 
10 
10 

10 

10 
10 
10 
10 
10 

10 

10 
10 
10 
10 
10 

10 

10 
10 
10 
11 
11 

11 

11 
11 
11 
11 
11 

11 

11 
11 
11 
11 
11 

11 

11 
11 
11 
11 
11 

11 

12 
12 
12 
12 
12 

12 

S. 36678 

12 

12 
12 
12 
12 
12 

12 

12 
12 
12 
12 
12 

12 

12 
12 
13 
13 
13 

13 

13 
13 
13 
13 
13 

13 

13 
13 
13 
13 
13 

13 

13 
13 
13 
13 
14 

14 

14 
14 
14 
14 
14 

14 

14 
14 
14 
14 
14 

14 

14 
14 
14 
14 
15 

15 

15 
15 
15 
15 
15 

15 

6.68557 
5.98660 
6. 16270 
6.28763 
6.38454 

.47090 
.  47797 
.48491 
.49175 
.49849 

.76836 
.77193 

.77548 
.77899 
.78248 

7.94325 
7.94564 
7.94802 
7.95039 
7.95274 

.06758 
.06938 
.07117 
.07295 
.07473 

.16413 

.16557 
.16700 
.16843 
.16986 

.24306 
.24426 
.24546 
. 24665 
.24785 

.30983 
.31086 
.31188 
.31291 
.31393 

.36768 
.36858 
. 36948 
.37038 
.37128 

6. 46373 

.50512 

.78594 

7.95508 

.07650 

. 17128 

.24903 

.31495 

.37217 

6.53067 
6.58866 
6.63982 
6.6S557 
6.72697 

.51165 
.  51808 
. 52442 
.53067 
.53683 

. 78938 
. 79278 
.79616 
. 79952 
.80284 

7.95741 
7.95973 
7. 96203 
7.96432 
7. 96660 

.07826 
.08002 
.08176 
.08350 
.08524 

.17270 
.17411 
. 17552 
.17692 
.17832 

.25022 
.25140 
.25258 
.25375 
.25493 

.31597 
.31699 
.31800 
.31901 
.32002 

.37306 
.37395 
.37484 
.37573 
.37662 

6.76476 

.54291 

.80615 

7.96887 

.08696 

. 17971 

.25609 

.32103 

.37750 

6. 79952 
6.83170 
6.86167 
6.88969 
6.91602 

.54890 
.  55481 
.56064 
. 56639 
.57206 

.57767 

. 80942 
.81268 
.  81591 
.81911 
.82229 

7.97113 
7.97337 
7. 97560 
7.97782 
7. 98003 

.08868 
.09040 
.09210 
.09380 
.09550 

.18110 
. 18249 
.18387 
.18524 
.18662 

.25726 
.25842 
.25958 
.26074 
.26189 

.32203 
.32303 
.32403 
.32503 
.32602 

.37838 
.37926 
.38014 
.38101 
.38189 

6.94085 

.82545 

7.98223 

.09718 

. 18798 

.26304 

.32702 

.38276 

6.96433 
6.9S660 
7.00779 
7.02800 
7.04730 

.58320 
. 58866 
.59406 
. 59939 
.60465 

.82859 
.83170 
.83479 
.83786 
.84091 

7.98442 
7.98660 
7.98876 
7.99092 
7.99306 

.09886 
.10054 
.10220 
.10386 
.10552 

. 18935 
.19071 
.19206 
.19341 
.19476 

.26419 
.26533 
.26648 
.26761 
.26875 

.32801 
.32899 
.32998 
.33096 
.33195 

.38363 
.38450 
.38537 
.38624 
.38710 

7.06579 

.60985 

.84393 

7.99520 

.10717 

.19610 

.26988 

.3.3292 

.38796 

7.08351 
7. 10055 
7.11694 
7. 13273 
7. 14797 

.61499 
.62007 
.62509 
.  63006 
.63496 

.84694 
.84992 

.85289 
.85583 
.85876 

7.99732 
7.99943 
8.00154 
8.00363 
8.00571 

. 10881 
.11044 
.11207 
.11370 
.11531 

.19744 
.19877 
.20010 
.20143 
.20275 

.27101 
.27214 
.27326 
.27438 
. 27550 

.33390 
.33488 
.33585 
.33682 
.33779 

.38882 
.38968 
.39054 
.39139 
.39225 

7. 16270 

.63982 

.86166 

8.00779 

.  11693 

.20407 

.27661 

.33875 

.39310 

7. 17694 
7. 19072 
7.20409 
7.21705 
7.22964 

.  6-1461 
. 64936 
.65406 
.65870 
.66330 

.86455 
.86741 
.87026 
.87309 
.87590 

8.00985 
8.01190 
8.01395 
8.01598 
8.01801 

.11853 
.12013 
. 12172 
. 12331 
.  12489 

.20538 
.20669 
.20800 
.20930 
.21060 

.27773 
.27883 
. 27994 
.28104 
.28215 

.33972 
.34068 
.34164 
.34260 
.34355 

.39395 
. 39480 
.39565 
. 39649 
.39734 

7.24188 

.66784 

.87870 

8.02002 

.12647 

.21189 

.28324 

.34450 

.39818 

7.25378 
7.26536 
7.27664 
7.28763 
7.29836 

.67235 
.67680 
.68121 
.68557 
.68989 

.88147 
.88423 
.88697 
.88969 
.89240 

8.02203 
8.02402 
8.02601 
8.02799 
8.02996 

.12804 
.12961 
.13117 
. 13272 
.13427 

.21319 
.21447 
.21576 
.21703 
.21831 

.28434 
.28543 
.28652 
.28761 
.28869 

.34546 
.34640 
.34735 
.34830 
.34924 

.39902 
,39986 
.40070 
.40156 
.40237 

7.30882 

.69417 

.89509 

8.03192 

.13581 

.21958 

.28977 

.35018 

.40320 

7.31904 
7.32903 
7.33879 
7.34833 

7.35767 

.69841 
. 70261 
.70676 
. 71088 
.71496 

.89776 
.90041 
.90305 
.90568 
.90829 

8.03387 
8.03581 
8.03775 
8.03967 
8.04159 

.13735 
.  13888 
. 14041 
. 14193 
.14344 

.22085 
.22211 
.22337 
.22463 
.22588 

.29085 
.29193 
.29300 
.29407 
.29514 

.35112 
.35206 
.35299 
.35392 
.35485 

.40403 
.4W86 
.48569 
.40651 
. 40734 

7. 36682 

. 71900 

.91088 

8.04350 

.14495 

.22713 

.29621 

.35578 

. 40816 

7.37577 
7.38454 
7.39314 
7.40158 
7.40985 

.72300 
. 72697 
.7,3090 
.73479 

. 73865 

.91346 
. 91602 
.91857 
.92110 
.92362 

8. 04.540 
8.04729 
8.04918 
8.05105 
8. 05292 

.14646 
.  14796 
. 14945 
.15094 
. 15243 

.22838 
.22962 
.23086 
.23210 
.23333 

.29727 
.29833 
.29939 
.30044 
.30150 

.35671 
.35764 
.35856 
.35948 
. 36040 

.40898 
.40980 
.  41062 
.41144 
.41225 

7.41797 

.74248 

.92612 

8. 05478 

.15391 

.23456 

.30255 

.36131 

.41307 

7.42594 
7.43376 
7.44145 
7.44900 
7.45643 

.74627 
.75003 
.75376 
. 75745 
.76112 

.92861 
.93108 
.93354 
.93599 
.93842 

8.05663 
8. 05848 
8.06a31 
8.06214 
8.06396 

. 15538 
.15685 
.15832 
. 15978 
.16123 

.23578 
.23700 
.23822 
.23944 
.24065 

.30359 
.30464 
.30568 
.30672 
.30776 

.36223 
.36314 
.36405 
.36496 
.36587 

.41388 
.41469 
.41550 
.41631 
.41711 

7.46373 

.76475 

.94084 

8.06578 

. 16268 

.24186 

.30879 

.36678 

.41792 

TABLE  III. 

[Page  29 

Log.  Sines. 

1 

T.S 

t3  03 

n  S 

Tl  9 

•rt  S 

^i 

■d  rt 

r,S 

nS 

1''30' 

1''40' 

■OH 
<  u 

1°50' 

3°0' 

2°  10' 

■T3b< 

•Z'  20' 

2°  30' 

■dH 
<  u 

2°  40' 

■OH 

2"  50' 

+0' 
10" 

8.41792 

15 
15 

8.46366 

18 
18 

8.50504 

22 
22 

8. 51282 

26 

27 

8.57757 

31 
31 

8.60973 

36 
36 

8. 63968 

41 
41 

8.66769 

47 
47 

S. 69400 

53 
53 

.41872 

.46439 

.50570 

.54342 

.57812 

.61025 

.64016 

. 66814 

.69442 

20 

.41952 

15 

.46511 

19 

.50636 

22 

.54402 

27 

.57868 

31 

.61077 

36 

.64064 

42 

.66859 

47 

.6948.5 

54 

30 

.42032 

15 

.46583 

19 

.50701 

22 

.54462 

27 

.57923 

31 

.61128 

36 

.64112 

42 

.66904 

47 

.69.527 

64 

40 

.42112 

15 

. 46655 

19 

.50767 

23 

.  54522 

27 

.57979 

31 

.61180 

36 

.64160 

42 

.66949 

47 

.69570 

64 

50 

+  1' 
10" 

.4219C 

15 
15 
15 

.46727 

19 
19 
19 

.50^2 

23 
23 
23 

.54582 

27 
27 
27 

.58034 

31 
32 
32 

.61231 

36 
37 
37 

.64208 

42 
42 

42 

.66994 

48 
48 
48 

.69612 

54 

54 
54 

.42272 

. 46799 

. 50897 

.54642 

.58089 

.61282 

.64256 

.67039 

.  69654 

.42351 

.  46870 

.50963 

.54702 

.58144 

.61334 

.  64304 

.67084 

.69897 

20 

. 42430 

15 

. 46942 

19 

. 51028 

23 

.54762 

27 

.58200 

32 

.61385 

37 

. 64352 

42 

.67129 

48 

.  697.39 

54 

30 

.42510 

15 

. 47013 

19 

.51092 

23 

.54821 

27 

.58255 

32 

.61436 

37 

.04400 

42 

.67174 

48 

.69781 

64 

40 

.  42589 

15 

.47084 

19 

.51157 

23 

.54881 

27 

.58310 

32 

.61487 

37 

.64448 

42 

.67219 

48 

.  69823 

64 

60 

+2' 
10" 

. 42667 

15 
16 
16 

.47155 

19 
19 
19 

.51222 

23 
23 
23 

. 54940 

27 
27 
27 

.58364 

32 
32 
32 

.61538 

37 
37 
37 

. 64495 

42 
42 
43 

.67263 

48 
48 
48 

.  69865 

64 
54 
54 

. 42746 

.  47226 

.51287 

.54999 

.58419 

.61589 

.64543 

. 67308 

.69907 

. 42825 

.47297 

..51351 

.55059 

.58474 

.61640 

.64590 

. 67353 

.69949 

20 

.  42903 

16 

.47368 

19 

.51416 

23 

.55118 

28 

.58529 

32 

.61691 

37 

. 64638 

43 

. 67397 

48 

. 69991 

66 

30 

. 42982 

16 

.47439 

19 

. 51480 

23 

.55177 

28 

.58583 

32 

. 61742 

37 

.64685 

43 

.  67442 

49 

.70033 

56 

40 

.43060 

16 

.47509 

19 

.51544 

23 

.55236 

28 

.58638 

32 

.61792 

37 

.64733 

43 

.  67486 

49 

.70075 

66 

50 

+3' 
10" 

.43138 

16 
16 
16 

.47580 

19 
19 
20 

.51609 

23 
23 
24 

.55295 

28 
28 
28 

.58693 

32 
33 
33 

.61843 

37 
38 

38 

.64780 

43 
43 
43 

.67531 

49 
49 
49 

.70117 

55 
55 
55 

.43216 

. 47650 

.51673 

.55354 

.58747 

.61894 

.64827 

.67575 

.70159 

.43293 

.47720 

.51737 

.55413 

.58801 

.61944 

.64875 

.67619 

.70201 

20 

.43371 

16 

.47790 

20 

.51801 

24 

. 55471 

28 

.58856 

33 

.61995 

38 

.04922 

43 

.67664 

49 

.70242 

56 

30 

.43448 

16 

.47860 

20 

.  51864 

24 

.55530 

28 

. 58910 

33 

.62045 

3S 

.64969 

43 

.67708 

49 

. 70284 

66 

40 

. 43526 

16 

.47930 

20 

.51928 

24 

. 55589 

28 

.58964 

33 

.62096 

38 

.6.5016 

43 

.  67752 

41' 

.70326 

55 

60 

+4' 
10" 

.43603 

16 
16 
16 

.48000 

20 
20 
20 

.51992 

24 
24 
24 

.55647 

28 
28 
28 

.59018 

33 
33 
33 

.62146 

38 
38 
38 

.65063 

43 

44 
44 

.67796 

49 
49 
49 

.70367 

66 
56 
56 

.43680 

.48069 

.52055 

.55705 

.59072 

.62196 

.65110 

.67841 

.70409 

.43757 

.48139 

.52119 

.55764 

.59126 

.62246 

.65157 

.67885 

.70451 

20 

.43834 

16 

.48208 

20 

.52182 

24 

.55822 

28 

.59180 

33 

.62297 

38 

.65204 

44 

.67929 

50 

.70492 

66 

30 

.43910 

16 

.48278 

20 

.52245 

24 

.55880 

28 

.59234 

33 

.62347 

38 

.65251 

44 

.67973 

60 

.70534 

56 

40 

.43987 

16 

.48347 

20 

.52308 

24 

.55938 

29 

.59288 

33 

. 62397 

38 

.65298 

44 

.68017 

50 

.  70575 

66 

50 

+5' 
10" 

.44063 

17 
17 
17 

.48416 

20 
20 
20 

.52371 

24 
24 
24 

.55996 

29 
29 
29 

.59341 

33 
33 
34 

.62447 

39 
39 
39 

.65344 

44 
44 
44 

.68060 

50 
50 
SO 

.70616 

66 
56 
56 

.44139 

.48485 

.52434 

.56054 

.59395 

.62497 

.65391 

.68104 

.70558 

.44216 

.48554 

.52497 

.56112 

.59448 

.62546 

. 65 138 

.68148 

.70699 

20 

.44292 

17 

.48622 

20 

.52560 

24 

.56170 

29 

.59502 

34 

.62596 

39 

.6.5184 

44 

.68192 

50 

. 70740 

6V 

30 

.44367 

17 

.48691 

20 

.52623 

25 

.56227 

29 

.59555 

34 

.62646 

39 

. 65531 

44 

.68236 

60 

.70781 

57 

40 

.44443 

17 

.48760 

21 

.5268.5 

25 

.56285 

29 

.59609 

34 

.62696 

39 

.65577 

45 

.68279 

50 

.70823 

6V 

50 

+6' 
10" 

. 44519 

17 
17 
17 

.48828 

21 
21 
21 

.52748 

25 
25 
25 

.56342 

29 
29 
29 

.59662 

34 
34 
34 

.62745 

39 
39 
39 

.65624 

45 
45 
45 

.68323 

50 
51 
51 

.70864 

57 
57 
57 

.44594 

.48896 

.52810 

.56400 

.59715 

.62795 

.65670 

.68367 

.70905 

. 44669 

.48965 

.52872 

.56457 

.59768 

. 62844 

.65717 

.68410 

.70946 

20 

.44745 

17 

.49033 

21 

. 52935 

25 

.56515 

29 

.59821 

34 

.62894 

39 

.65763 

45 

.68454 

61 

.70987 

57 

30 

. 44820 

17 

.49101 

21 

.52997 

25 

.56572 

29 

.59874 

34 

.62943 

39 

.65809 

46 

.68497 

61 

. 71028 

67 

40 

.44895 

17 

.49169 

21 

.53059 

25 

.56629 

29 

.59927 

34 

.  62993 

40 

.65855 

45 

. 68540 

51 

.71069 

57 

50 

+  7' 
10" 

. 44969 

17 
17 
17 

.49236 

21 
21 
21 

. 53121 

25 
25 
25 

.56686 

30 
30 
30 

. 59980 

34 
34 
35 

.63042 

40 
40 
40 

.65901 

45 

45 
45 

.68584 

51 
51 
51 

.71110 

6V 
58 
58 

.45044 

.49304 

.53183 

.56743 

.60033 

.63091 

.65947 

.68627 

.71151 

.45119 

. 49372 

.53245 

.56800 

.60086 

.63140 

.65994 

.68670 

.71192 

20 

.45193 

17 

.49439 

21 

. 53306 

25 

.56857 

30 

.60139 

35 

.63189 

40 

.66040 

46 

.68714 

51 

. 71232 

68 

30 

. 45267 

17 

.49506 

21 

.53368 

25 

. 56914 

30 

.60191 

35 

.63238 

40 

.66085 

46 

. 68757 

61 

.71273 

68 

40 

.45341 

IS 

.49574 

21 

. 53429 

25 

.56970 

30 

.60244 

35 

.63288 

40 

.66131 

46 

.68800 

52 

.71314 

68 

50 

+8' 
10" 

.45415 

18 
IS 
18 

.49641 

21 
21 
22 

.53491 

26 
26 
26 

.57027 

30 
30 
30 

.60296 

35 
35 
35 

. 63336 

40 
40 
40 

.66177 

46 
46 
46 

. 68843 

52 
52 
52 

.713.5.5 

68 
58 
58 

.45489 

.49708 

. 53552 

.57084 

.60349 

.63385 

.66223 

.  68886 

.71395 

.45563 

. 49775 

.53614 

.57140 

.60401 

.63434 

.66269 

.68929 

.71436 

20 

.45637 

18 

.49842. 

22 

.53675 

26 

.57196 

30 

.60454 

35 

.63483 

40 

.66314 

46 

.68972 

52 

.71476 

68 

30 

. 45710 

18 

.49908 

22 

.53736 

26 

.57253 

30 

.60506 

35 

.63532 

41 

.66360 

46 

.69015 

62 

.71517 

69 

40 

.45784 

IS 

.49975 

22 

.53797 

26 

.57309 

30 

.60558 

35 

.63580 

41 

.66406 

46 

.69058 

62 

.71557 

69 

50 

+9' 

10" 

.45857 

18 
18 
IS 

.50042 

22 
22 
22 

.53858 

26 
26 
26 

. 57365 

31 
31 
31 

.60610 

35 
36 
36 

.63629 

41 
41 
41 

.66451 

46 
46 

47 

.69101 

62 
52 
53 

.71598 

69 
59 
59 

.45930 

.50108 

.53919 

.57421 

.60662 

.63678 

.66497 

.69144 

.71638 

.46003 

.  .50174 

.53979 

.57477 

.60714 

.&3726 

.66542 

.69187 

. 71679 

20 

.46076 

IS 

.50241 

22 

. 54040 

26 

.575.33 

31 

.60766 

36 

.63775 

41 

.66588 

47 

.69229 

53 

.71719 

69 

30 

.46149 

IS 

.50307 

22 

.54101 

26 

..57589 

31 

. 60818 

36 

.63823 

41 

.66633 

47 

.  69272 

,63 

.71759 

59 

40 

.46222 

18 

.50373 

22 

.54161 

26 

.57645 

31 

.60870 

36 

.63871 

41 

.66678 

47 

.69315 

^i 

.71800 

.69 

50 

.46294 

18 
18 

.50439 

22 
22 

.54222 

26 
26 

.57701 

31 
31 

.60922 

36 
36 

.63920 

41 
41 

.66724 

47 
47 

.69357 

63 
53 

. 71840 

69 
60 

+  10' 

.46366 

.50504 

..54282 

.57757 

.60973 

.63968 

.66769 

.  69400 

.71880 

Page 

30] 

TABLE  III. 

Log.  Sines. 

3°  O' 

Add 
for 
Tan. 

3°  lO' 

Add 
for 
Tan. 

3°  20^ 

Add 

for 
Tan. 

3°  30' 

Add 

for 
Tan. 

3°  40' 

Add 

for 
Tan. 

3°  50' 

Add 
for 
Tan. 

+  o' 

20 
30 
40 
50 

+  r 

20 
30 
40 
50 

+  2^ 

20 
30 
40 
50 

+  3^ 

20 
30 
40 
50 

+  i' 

20 
30 
40 
50 

+  5' 

20 
30 
40 
50 

+  6^ 

20 
30 
40 
50 

+  r 

20 
30 
40 
50 

+  8' 
lO'' 
20 
30 
40 
50 

+  9' 

20 
30 
40 
50 

+10' 

8.  71880 

60 

60 
60 
60 
60 
60 

60 

60 
60 
60 
61 
61 

61 

61 
61 
61 
61 
61 

62 

62 
62 
62 
62 
62 

62 

62 
62 
63 
63 
63 

63 

63 
63 
63 
63 
63 

64 

64 
64 

64 
64 
64 

64 

64 
65 
65 
65 
65 

65 

65 
65 
65 
65 
66 

66 

66 
66 
66 
66 
66 

66 

8. 74226 

66 

66 
67 
67 
67 
67 

67 

67 
67 
67 
68 
68 

68 

68 
68 
68 
68 
68 

68 

69 
69 
69 
69 
69 

69 

69 
69 
70 
70 
70 

70 

70 
70 
70 
70 
71 

71 

71 
71 
71 

71 
71 

71 

71 

72 
72 
72 

72 

72 

72 
72 
72 
73 
73 

73 

73 
73 
73 
73 
73 

74 

8. 76451 

74 

74 
74 
74 
74 
74 

74 

74 
75 
75 
75 

75 

75 

75 
75 
75 
76 
76 

76 

76 
76 
76 
76 
76 

77 

77 
77 
77 
77 
77 

77 

77 
78 
78 
78 
78 

78 

78 
78 
78 
79 
79 

79 

79 
79 
79 
79 
79 

80 

80 
80 
80 
80 
80 

80 

80 
81 
81 
81 
81 

81 

8.  78568 

81 

81 
81 
81 
82 
82 

82 

82 
82 
82 
82 
82 

83 

83 
83 
83 
83 
83 

83 

84 
84 
84 
84 
84 

84 

84 
85 
85 
85 
85 

85 

85 
85 
85 
86 
86 

86 

86 
86 
86 
86 
86 

87 

87 

87 
87 
87 
87 

87 

88 
88 
88 
88 
88 

88 

88 
88 
89 
89 
89 

89 

8.  80585 

89 

89 
89 
89 
90 
90 

90 

90 
90 
90 
90 
90 

91 

91 
91 
91 
91 
91 

91 

92 
92 
92 
92 
92 

92 

92 
93 
93 
93 
93 

93 

93 
93 
93 
94 
94 

94 

94 
94 
94 
94 
95 

95 

95 
95 
95 
95 
95 

96 

96 
96 
96 
96 
96 

96 

97 
97 
97 
97 
97 

97 

8.  82513 

97 

97 
98 
98 
98 
98 

98 

98 
98 
99 
99 
99 

99 

99 

99 

99 

100 

100 

100 

100 
100 
100 
100 
101 

101 

101 
101 
101 
101 
101 

102 

102 
102 
102 
102 
102 

102 

103 
103 
103 
103 
103 

103 

103 
104 
104 
104 
104 

104 

104 
104 
105 
105 
105 

105 

105 
105 
105 
106 
106 

106 

8.  71920 
8.  71960 
8.  72000 
8.  72040 
8.  72080 

8.  74264 
8.  74302 
8.  74340 
8.  74378 
8.  74416 

8.  76487 
8. 76523 
8.  76559 
8.  76595 
8. 76631 

8.  78602 
8.  78636 
8. 78671 
8.  78705 
8. 78739 

8.  80618 
8.  80651 
8.  80684 
8.  80716 
8.  80749 

8.  82544 
8.  82576 
8.  82607 
8.  82639 
8.  82670 

8. 72120 

8.  74454 

8.  76667 

8.  78774 

8.  80782 

8.  82701 

8.  72160 
8.  72200 
8. 72240 
8.  72280 
8.  72320 

8.  74491 
8.  74529 
8.  74567 
8.  74605 
8.  74642 

8.  76703 
8.  76739 
8. 76775 
8. 76811 
8.  76847 

8. 78808 
8.  78842 
8.  78876 
8. 78910 
8.  78945 

8.  80815 
8.  80847 
8.  80880 
8.  80913 
8.  80945 

8.  82732 
8.  82764 
8.  82795 
8.  82826 
8.  82857 

8. 72359 

8.  74680 

8.  76883 

8. 78979 

8. 80978 

8.  82888 

8.  72399 
8. 72439 
8. 72478 
8. 72518 
8. 72558 

8.  74718 
8.  74755 
8.  74793 
8.  74831 
8.  74868 

8. 76919 
8.  76954 
8.  76990 
8.  77026 
8.  77061 

8.  79013 
8. 79047 
8.  79081 
8. 79115 
8. 79149 

8.  81010 
8. 81043 
8.  81075 
8.  81108 
8.  81140 

8. 82920 
8.  82951 
8.  82982 
8.  83013 
8.  83044 

8. 72597 

8.  74906 

8.  77097 

8.  79183 

8. 81173 

8.  83075 

8. 72637 
8. 72676 
8.  72716 
8.  72755 
8.  72794 

8.  74943 
8.  74980 
8.  75018 
8.  75055 
8.  75092 

8.  77133 
8.  77168 
8.  77204 
8. 77239 
8.  77275 

8.  79217 
8. 79251 
8.  79284 
8.  79318 
8.  79352 

8. 81205 
8.  81237 
8. 81270 
8.  81302 
8.  81334 

8.  83106 
8. 83137 
8.  83168 
8.  83199 
8.  83230 

8.  72834 

8.  75130 

8.  77310 

8. 79386 

8.  81367 

8. 83261 

8.  72873 
8.  72912 
8. 72951 
8.  72991 
8.  73030 

8.  75167 
8.  75204 
8.  75241 
8.  75279 
8. 75316 

8.  77346 
8.  77381 
8.  77416 
8.  77452 
8.  77487 

8.  79420 
8.  79453 
8.  79487 
8. 79521 
8. 79555 

8. 81399 
8.  81431 
8.  81463 
8.  81496 
8.  81528 

8.  83292 
8.  83322 
8.  83353 
8.  83384 
8.  83415 

8. 73069 

8. 75353 

8. 77522 

8. 79588 

8.  81560 

8.  83446 

8.  73108 
8.  73147 
8.  73186 
8.  73225 
8.  73264 

8.  75390 
8. 75427 
8. 75464 
8.  75501 
8. 75538 

8.  77558 
8.  77593 
8.  77628 
8.  77663 
8.  77698 

8. 79622 
8. 79655 
8.  79689 
8.  79722 
8.  79756 

8.  81592 
8.  81624 
8.  81656 
8.  81688 
8.  81720 

8.  83476 
8.  83507 
8.  83538 
8.  83568 
8.  83599 

8.  73303 

8. 75575 

8.  77733 

8.  79789 

8.  81752 

8.  83630 

8.  73342 
8.  73380 
8.  73419 
8.  73458 
8. 73497 

8. 75612 
8. 75648 
8.  75685 
8. 75722 
8. 75759 

8.  77768 
8.  77803 
8.  77838 
8.  77873 
8.  77908 

8.  79823 
8.  79856 
8.  79890 
8.  79923 
8.  79956 

8.  81784 
8.  81816 
8.  81848 
8.  81880 
8.  81912 

8.  83660 
8.  83691 
8. 83721 
8.  83752 
8. 83783 

8. 73535 

8. 75795 

8. 77943 

8.  79990 

8.  81944 

8. 83813 

8. 73574 
8. 73613 
8.  73651 
8. 73690 
8. 73728 

8. 75832 
8. 75869 
8. 75905 
8. 75942 
8. 75979 

8.  77978 
8.  78013 
8.  78048 
8.  78083 
8. 78118 

8.  80023 
8.  80056 
8.  80090 
8.  80123 
8.  80156 

8.  81975 
8.  82007 
8.  82039 
8.  82071 
8.  82103 

8.  83844 
8.  83874 
8. 83904 
8.  83935 
8.  83965 

8. 73767 

8.  76015 

8.  78152 

8.  80189 

8.  82134 

8.  83996 

8. 73805 
8.  73844 
8.  73882 
8.  73920 
8.  73959 

8. 76052 
8. 76088 
8.  76125 
8.  76161 
8. 76197 

8. 78187 
8. 78222 
8. 78257 
8. 78291 
8.  78326 

8. 80222 
8. 80255 
8.  80289 
8. 80322 
8.  80355 

8.  82166 
8.  82198 
8.  82229 
8.  82261 
8.  82292 

8.  84026 
8.  84056 
8.  84087 
8.  84117 
8.  84147 

8.  73997 

8.  76234 

8.  78360 

8. 80388 

8.  82324 

8. 84177 

8. 74035 
8. 74073 
8. 74112 
8.  74150 
8.  74188 

8. 76270 
8.  76306 
8. 76343 
8. 76379 
8.  76415 

8.  78395 
8.  78430 
8.  78464 
8.  78499 
8.  78533 

8. 80421 
8. 80454 
8. 80487 
8. 80519 
8.  80552 

8.  82356 
8.  82387 
8.  82419 
8.  82450 
8.  82482 

8.84208 
8.  84238 
8.  84268 
8.  84298 
8.  84328 

8. 74226 

8. 76451 

8.  78568 

8.  80585 

8. 82513 

8.  84358 

TABLE  III. 

Log.  Sines. 

[Page  31 

4°   O' 

Add 
for 
Tan. 

4°  W 

Add 

for 
Tan. 

4°  W 

Add 
for 
Tan. 

4°  W 

Add 
for 
Tan. 

4°    4r 

Add 
for 
Tan. 

4°  50^ 

Add 

for 
Tan. 

+  0" 

20 
30 
40 
50 

+  I' 

20 
30 
40 
50 

+  r 

20 
30 
40 
50 

+  3' 

20 
30 
40 
50 

+  4' 

20 
30 
40 
50 

+  5' 

20 
30 
40 
50 

+  6^ 

20 
30 
40 
50 

+  r 

20 
30 
40 
50 

+  8^ 

20 
30 
40 
50 

+  9^ 

20 
30 
40 
50 

8.  84358 

106 

106 
106 
106 
107 
107 

107 

107 
107 
107 
107 
108 

108 

108 
108 
108 
108 
108 

109 

109 
109 
109 
109 
109 

109 

110 
110 
110 
110 
110 

110 

111 
111 
111 
111 
111 

111 

111 
112 
112 
112 
112 

112 

112 
113 
113 
113 
113 

113 

113 
113 
114 
114 
114 

114 

114 
114 
114 
115 
115 

115 

8. 86128 

115 

115 
115 
115 
116 
116 

116 

116 
116 
116 
116 
117 

117 

117 
117 
117 
117 
118 

118 

118 
118 
118 
118 
118 

119 

119 
119 
119 
119 
119 

120 

120 
120 
120 
120 
120 

121 

121 
121 
121 
121 
121 

121 

122 
122 
122 
122 
122 

122 

123 
123 
123 
123 
123 

123 

124 
124 
124 
124 
124 

124 

8.  87829 

124 

124 
125 
125 
125 
125 

125 

125 
126 
126 
126 
126 

126 

126 
127 
127 
127 
127 

127 

127 
128 
128 
128 
128 

128 

128 
129 
129 
129 
129 

129 

129 
129 
130 
130 
130 

130 

130 
130 
131 
131 
131 

131 

131 
131 

132 
132 
132 

132 

132 
132 
133 
133 
133 

133 

133 
133 
134 
134 
134 

134 

8.  89464 

134 

134 
134 
135 
135 
135 

135 

135 
135 
136 
136 
136 

136 

136 
136 
137 
137 
137 

137 

137 
137 
138 
138 
138 

138 

138 
138 
139 
139 
139 

139 

139 
139 
140 
140 
140 

140 

140 
140 
141 
141 
141 

141 

141 
141 
142 
142 
142 

142 

142 
142 
143 
143 
143 

143 

143 
144 
144 
144 
144 

144 

8.  91040 

8.  91066 
8.  91092 
8.91118 
8. 91143 
8. 91169 

144 

144 
145 
145 
145 
145 

145 

145 
146 
146 
146 
146 

146 

146 
147 
147 
147 
147 

147 

147 
148 
148 
148 
148 

148 

149 
149 
149 
149 
149 

149 

150 
150 
150 
150 
150 

150 

151 
151 
151 
151 
151 

152 

152 
152 
152 
152 
152 

153 

153 
153 
153 
153 
153 

154 

154 
154 
154 
154 
155 

155 

8. 92561 

155 

155 
155 
155 
155 
156 

156 

156 
156 
156 
156 
157 

157 

157 
157 
157 
158 
158 

158 

158 
158 
159 
159 
159 

159 

159 
159 
160 
160 
160 

160 

160 
160 
161 
161 
161 

161 

161 
162 
162 
162 
162 

162 

162 
163 
163 
163 
163 

163 

164 
164 
164 
164 
164 

164 

165 
165 
165 
165 
165 

165 

8.  84389 
8.84419 
8.84449 
8.  84479 
8.  84509 

8.  86157 
8. 86186 
8. 86215 
8. 86244 
8.  86273 

8.  87856 
8.  87884 
8.  87912 
8.  87940 
8.  87967 

8.  89491 
8.  89518 
8.  89545 
8. 89571 
8. 89598 

8.  92586 
8.  92611 
8.  92636 
8.  92660 
8. 92685 

8.  84539 

8. 86301 

8.  87995 

8. 89625 

8. 91195 

8.92710 

8.  84569 
8.  84599 
8.  84629 
8.  84659 
8.  84688 

8. 86330 
8.  86359 
8. 86388 
8. 86416 
8. 86445 

8. 88023 
8. 88050 
8.  88078 
8. 88106 
8. 88133 

8.  89651 
8. 89678 
8. 89704 
8.  89731 
8. 89758 

8. 91221 
8.  91246 
8.91272 
8. 91298 
8. 91323 

8.  92735 
8.  92760 
8.  92784 
8.  92809 
8. 92834 

8. 84718 

8.  86474 

8. 88161 

8. 89784 

8. 91349 

8. 92859 

8. 84748 
8. 84778 
8.  84808 
8. 84838 
8. 84867 

8. 86502 
8. 86531 
8. 86560 
8. 86588 
8. 86617 

8. 88188 
8.  88216 
8. 88243 
8. 88271 
8. 88298 

8.  89811 
8. 89837 
8. 89864 
8.  89890 
8. 89917 

8. 91374 
8.  91400 
8.  91426 
8.  91451 
8.  91477 

8. 92883 
8. 92908 
8. 92933 
8. 92957 
8.  92982 

8.  84897 

8. 86645 

8.  88326 

8. 89943 

8. 91502 

8. 93007 

8. 84927 
8.  84957 
8.  84986 
8.  85016 
8. 85045 

8. 86674 
8.  86703 
8. 86731 
8. 86760 
8. 86788 

8.  88353 
8. 88381 
8. 88408 
8.  88435 
8. 88463 

8. 89970 
8.  89996 
8. 90023 
8. 90049 
8. 90075 

8. 91528 
8. 91553 
8. 91579 
8. 91604 
8.  91630 

8. 93031 
8. 93056 
8. 93081 
8. 93105 
8. 93130 

8. 85075 

8.  86816 

8. 88490 

8.  90102 

8.  91655 

8. 93154 

8.  85105 
8.  85134 
8.  85164 
8.  85193 
8. 85223 

8.  86845 
8. 86873 
8.  86902 
8.  86930 
8.  86958 

8.  88518 
8.  88545 
8.  88572 
8.  88600 
8. 88627 

8.  90128 
8.  90154 
8. 90181 
8. 90207 
8.  90233 

8.  91680 
8.  91706 
8.91731 
8.  91757 

8.  91782 

8.  93179 
8. 93203 
8.  93228 
8.  93253 
8. 93277 

8.  85252 

8. 86987 

8.  88654 

8. 90260 

8.  91807 

8. 93301 

8. 85282 
8. 85311 
8.  85341 
8. 85370 
8.  85400 

8.  87015 
8.  87043 
8.  87072 
8.  87100 
8.  87128 

8.  88681 
8. 88709 
8. 88736 
8. 88763 
8. 88790 

8.  90286 
8. 90312 
8.  90338 
8.  90364 
8.  90391 

8.  91833 
8.  91858 
8. 91883 
8. 91909 
8.  91934 

8.  93326 
8. 93350 
8. 93375 
8. 93399 
8. 93424 

8.  85429 

8. 87156 

8. 88817 

8.  90417 

8.  91959 

8. 93448 

8.  85458 
8.  85488 
8. 85517 
8.  85546 
8.  85576 

8.  87185 
8. 87213 
8. 87241 
8.  87269 
8. 87297 

8.  88845 
8. 88872 
8. 88899 
8. 88926 
8. 88953 

8. 90443 
8.  90469 
8. 90495 
8. 90521 
8.  90548 

8.  91984 
8.  92010 
8.  92035 
8.  92060 
8.  92085 

8. 93472 
8.  93497 
8.  93521 
8.  93546 
8.  93570 

8. 85605 

8. 87325 

8. 88980 

8.  90574 

8. 92110 

8.  93594 

8. 85634 
8. 85663 
8. 85693 
8. 85722 
8. 85751 

8.  87354 
8.  87382 
8.  87410 
8.  87438 
8.  87466 

8. 89007 
8.  89034 
8.  89061 
8.  89088 
8. 89115 

8.  90600 
8.  90626 
8. 90652 
8.  90678 
8. 90704 

8.  92135 
8.  92161 
8.  92186 
8. 92211 
8.  92236 

8.  93619 
8.  93643 
8. 93667 
8. 93691 
8.  93716 

8.  85780 

8.  87494 

8.  89142 

8. 90730 

8. 92261 

8. 93740 

8. 85809 
8.  85838 
8. 85867 
8. 85896 
8. 85926 

8.  87522 
8.  87550 
8.  87578 
8. 87606 
8.  87634 

8. 89169 
8. 89196 
8. 89223 
8. 89250 
8. 89277 

8. 90756 
8. 90782 
8. 90808 
8. 90834 
8.  90859 

8. 92286 
8. 92311 
8. 92336 
8. 92361 
8. 92386 

8. 93764 
8. 93788 
8. 93812 
8. 93837 
8. 93861 

8. 85955 

8. 87661 

8.  89304 

8. 90885 

8. 92411 

8. 93885 

8.  85984 
8.  86013 
8.  86042 
8. 86070 
8.  86099 

8.  87689 
8.87717 
8.  87745 
8.  87773 
8.  87801 

8.  89330 
8.  89357 
8. 89384 
8. 89411 
8. 89438 

8.  90911 
8. 90937 
8.  90963 
8.  90989 
8.  91015 

8. 92436 
8. 92461 
8. 92486 
8. 92511 
8. 92536 

8. 93909 
8. 93933 
8.  93957 
8.  93981 
8.  94006 

+10^ 

8. 86128 

8.  87829 

8.  89464 

8.  91040 

8. 92561 

8.  94030 

Page  32]                   TABLE  III. 

Log.  Sines. 

Time. 

Arc. 

Oh  20m        5° 

Oh  24^      6° 

Oh  2Sm      7° 

Oh  32m       8° 

Oh  36m       9° 

Arc. 

Time. 

m.  s. 

' 

Sine.    P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.    P.  P. 

' 

s.  m. 

0 

0 

8.94030 

142 

9.01923 

lis 

9.08589 

102 

9.14356 

89 

9.19433 

79 

60 

+4 

4 
8 

12 

1 
2 
3 

8.94174 
8.94317 
8.94461 

14 
28 
43 

9.02043 
9.02163 
9.02283 

12 
24 
35 

9.08692 
9.08795 
9.08897 

10 
20 
31 

9.14445 
9.14535 
9.14624 

9 
18 

27 

9.19513 
9.19592 
9.19672 

8 

16 
24 

59 

58 
57 

56 
52 
48 

16 
20 

24 

4 
5 
6 

8.94603 
8.94746 
8.94887 

57 
71 
85 

9.02402 
9.02520 
9.02639 

47 
59 
71 

9.08999 
9.09101 
9.09202 

41 
51 
61 

9.14714 
9.14803 
9.14891 

36 
45 
53 

9.19751 
9.19830 
9.19909 

32 
40 

47 

56 
55 
54 

U 
40 
36 

28 
32 
36 

•3 

S 
9 

8.95029 
8.95170 
8.95310 

99 

114 
128 

9.02757 
9.02874 
9.02992 

83 

94 

106 

9.09304 
9.09405 
9.09506 

71 
82 
92 

9.14980 
9.15069 
9.15157 

62 
71 
80 

9.19988 
9.20067 
9.20145 

55 
63 
71 

53 
52 
51 

32 
28 
24 

40 

10 

8.95450 

138 

9.03109 

116 

9.09606 

99 

9.15245 

87 

9.20223 

78 

50 

20 

44 
48 
52 

11 
12 
13 

8.95589 
8.95728 
8.95867 

14 

28 
41 

9.03226 
9.03342 
9.03458 

12 
23 
35 

9.09707 
9.09807 
9.09907 

10 
20 
30 

9.15333 
9.15421 
9.15508 

9 

17 
26 

9.20302 
9.20380 
9.20458 

8 
16 
23 

49 

48 
47 

16 

12 

8 

56 

+1 
4 

14 
15 
16 

8.96005 
8.96143 
8.96280 

55 
69 
83 

9.03574 
9.03690 
9.03805 

46 
58 
70 

9.10006 
9.10106 
9.10205 

40 
50 
59 

9.15596 
9.15683 
9.15770 

35 
44 
52 

9.20535 
9.20613 
9.20691 

31 
39 

47 

46 
45 
44 

4 
+3 
56 

8 
12 
16 

n 

18 
19 

8.96417 
8.96553 
8.96689 

97 
110 

124 

9.03920 
9.04034 
9.04149 

81 

93 

104 

9.10304 
9.10402 
9.10501 

69 

79 
89 

9.15857 
9.15944 
9.16030 

61 
70 

78 

9.20768 
9.20845 
9.20922 

55 
62 
70 

43 
42 
41 

52 
48 
44 

20 

20 

8.96825 

133 

9.04262 

113 

9.10599 

97 

9.16116 

85 

9.20999 

76 

40 

40 

24 
28 
32 

21 
22 
23 

8.96960 
8.97095 
8.97229 

13 

27 
40 

9.04376 
9.04490 
9.04603 

11 
23 
34 

9.10697 
9.10795 
9.10893 

10 
19 
29 

9.16203 
9.16289 
9.16374 

9 

17 
26 

9.21076 
9.21153 
9.21229 

8 

15 
23 

39 
38 
37 

36 

32 
28 

36 
40 
44 

24 
25 

26 

(8.97363 
8.97496 
8.97629 

53 
67 
80 

9.04715 
9.04828 
9.04940 

45 
57 
68 

9.10990 
9.11087 
9.11184 

39 
49 

58 

9.16460 
9.16545 
9.16631 

34 
43 
51 

9.21308 
9.21382 
9.21458 

30 

38 
46 

36 
35 
34 

24 
20 
16 

48 
52 
56 

27 
28 
29 

8.97762 
8.97894 
8.98026 

93 
106 
120 

9.05052 
9.05164 
9.05275 

79 

90 

102 

9.11281 
9.11377 
9.11474 

68 
78 
87 

9.16716 
9.16801 
9.16886 

60 
68 

77 

9.21534 
9.21610 
9.21685 

53 
61 
68 

33 
32 
31 

12 
8 
4 

+2 

30 

8.98157 

129 

9.05386 

110 

9.11570 

95 

9.16970 

84 

9.21761 

75 

30 

+2 

4 
8 

12 

31 
32 
33 

8.98288 
8.98419 
8.98549 

13 
26 
39 

9.05497 
9.05607 
9.05717 

11 
22 
33 

9.11666 
9.11761 

9.11857 

10 
19 
29 

9.17055 
9.17139 
9.17223 

8 
17 

25 

9.21836 
9.21912 
9.21987 

8 
15 
23 

29 

28 
27 

56 

52 
48 

16 

20 
24 

34 
35 
36 

8.98679 
8.98808 
8.98937 

52 
65 
77 

9.05827 
9.05937 
9.06046 

44 
55 
66 

9.11952 
9.12047 
9.12142 

38 

48 
57 

9.17307 
9.17391 
9.17474 

34 
42 
50 

9.22062 
9.22137 
9.22211 

30 

38 
45 

26 
25 
24 

44 
40 
36 

28 
32 
36 

37 
38 
39 

8.99066 
8.99194 
8.99322 

90 
103 
116 

9.06155 
9.06264 
9.06372 

77 

88 

99 

107 

9.12236 
9.12331 
9.12425 

67 
76 
86 

9.17558 
9.17641 

9.17724 

59 

67 
76 

9.22286 
9.22361 
9.22435 

53 
60 
68 

23 
23 
21 

32 
28 
24 

40 

40 

8.99450 

125 

9.06481 

9.12519 

93 

9.17807 

82 

9.22509 

74 

20 

20 

U 
48 
52 

41 

42 
43 

8.99577 
8.99704 
8.99830 

13 

25 
38 

9.06589 
9.06696 
9.06804 

11 
21 
32 

9.12612 
9.12706 
9.12799 

9 

19 
28 

9.17890 
9.17973 
9.18055 

8 
16 
25 

9.22583 
9.22657 
9.22731 

7 

15 
22 

19 

18 
17 

16 

12 
8 

56 
+3 
4 

44 
45 
46 

8.99956 
9.00082 
9.00207 

50 
63 

75 

9.06911 
9.07018 
9.07124 

43 
54 
64 

9.12892 
9.12985 
9.13078 

37 
47 
56 

9.18137 
9.18220 
9.18302 

33 
41 
49 

9.22805 
9.22878 
9.22952 

30 
37 
44 

16 
15 
14 

4 
+1 
56 

8 
12 
16 

#7 

48 
49 

9.00332 
9.00456 
9.00581 

88 
100 
113 

9.07231 
9.07337 
9.07442 

75 
86 
96 

9.13171 
9.13263 
9.13355 

65 

74 
84 

9.18383 
9.18465 
9.18547 

57 
66 
74 

9.23025 
9.23098 
9.23171 

52 
59 

67 

13 
12 
11 

52 
48 
44 

20 

50 

9.00704 

122 

9.07548 

104 

9.13447 

91 

9.18628 

81 

9.23244 

73 

10 

40 

24 
28 
32 

51 
52 
53 

9.00828 
9.00951 
9.01074 

12 
24 
37 

9.07653 
9.07758 
9.07863 

10 
21 
31 

9.13539 
9.13630 
9.13722 

9 

18 

27 

9.18709 
9.18790 
9.18871 

8 
16 
24 

9.23317 
9.23390 
9.23462 

7 
14 
22 

9 
8 
7 

36 
32 
28 

36 
40 

U 

54 
55 
56 

9.01196 
9.01318 
9.01440 

49 
61 
73 

9.07968 
9.08072 
9.08176 

42 
52 
62 

9.13813 
9.13904 
9.13994 

36 
46 
55 

9.18952 
9.19033 
9.19113 

32 
41 
49 

9.23535 
9.23607 
9.23679 

29 
36 

43 

6 
5 
4 

24 
20 
16 

48 
52 
56 

57 

58 
59 

9.01561 
9.01682 
9.01803 

85 

98 

110 

9.08280 
9.08383 
9.08486 

73 
83 
94 

9.14085 
9.14175 
9.14266 

64 
73 
82 

9.19193 
9.19273 
9.19353 

57 
65 
73 

9.23752 
9.23823 
9.23895 

50 
58 
65 

3 
2 

1 

12 
8 
4 

+4 

60 

9.01923 

9.08589 

9.14356 

9.19433 

9.23967 

0 

0 

Cos. 

Cos. 

Cos. 

Cos. 

Cos. 

84°   5h  36m 

83°  5h  32m 

82°  5h  28m   |  81°  5h  24m 

80°   5h  20m 

Log.  Cosines. 

TABLE  III.                   [Page  33 

Log.  Sines. 

Time. 

Arc. 

Oh  40m       10° 

Oh  44m     11° 

Oh  48m     12° 

Oh  52m      13° 

Oh  56m       14° 

Arc. 

Time. 

m.  s. 

' 

Sine.    P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.    P.  P. 

' 

s.  ra. 

0 

0 

9.23967 

71 

9.28060 

65 

9.31788 

59 

9.35209 

54 

9.38368 

51 

60 

+4 

8 
12 

1 

2 
3 

9.24039 
9.24110 
9.24181 

7 
14 
21 

9.28125 
9.28190 
9.28254 

7 
13 
20 

9.31847 
9.31907 
9.31966 

6 
12 

18 

9.35263 
9.35318 
9.35373 

5 

11 

16 

9.38418 
9.38469 
9.38519 

5 

10 
15 

59 

58 
57 

56 

52 
48 

16 
20 

24 

4 
5 
6 

9.24253 
9.24324 
9.24395 

28 
36 
43 

9.28319 
9.28384 
9.28448 

26 
33 
39 

9.32025 
9.32084 
9.32143 

24 
30 
35 
41 
47 
53 

9.35427 
9.35481 
9.35536 

22 
27 
32 

9.38570 
9.38620 
9.38670 

20 
26 
31 

56 
55 
54 

44 
40 
36 

28 
S2 
36 

7 
8 
9 

9.24466 
9.24536 
9.24607 

50 
57 
64 

9.28512 
9.28577 
9.28641 

46 
52 
59 

9.32202 
9.32261 
9.32319 

9.35590 
9.35644 
9.35698 

38 
43 
49 

9.38721 
9.38771 
9.38821 

36 
41 
46 

53 
53 
51 

32 
28 

24 

40 

10 

9.24677 

70 

9.28705 

63 

9.32378 

58 

9.35752 

54 

9.38871 

50 

50 

20 

44 
48 

52 

11 
13 
13 

9.24748 
9.24818 
9.24888 

7 
14 
21 

9.28769 
9.28833 
9.28896 

6 
13 
19 

9.32437 
9.32495 
9.32553 

6 
12 
17 

9.35806 
9.35860 
9.35914 

5 
11 
16 

9.38921 
9.38971 
9.39021 

5 
10 
15 

49 

48 
47 

16 

12 
8 

56 

+1 
4 

14 
15 
16 

9.24958 
9.25028 
9.25098 

28 
35 
42 

9.28960 
9.29024 
9.29087 

25 
32 
38 

9.32612 
9.32670 
9.32728 

23 
29 
35 

9.35968 
9.36022 
9.36075 

22 
27 
32 

9.39071 
9.39121 
9.39170 

20 
25 
30 

46 
45 
44 

4 
+3 
56 

8 
12 
16 

17 

18 
19 

9.25168 
9.25237 
9.25307 

49 
56 
63 

9.29150 
9.29214 
9.29277 

44 
50 
57 

9.32786 
9.32844 
9.32902 

41 
46 
52 

9.36129 
9.36182 
9.36236 

38 
43 
49 

9.39220 
9.39270 
9.39319 

35 
40 
45 

43 
42 
41 

52 
48 
44 

20 

30 

9.25376 

69 

9.29340 

63 

9.32960 

58 

9.36289 

53 

9.39369 

49 

40 

40 

24 
28 
32 

31 
33 
33 

9.25445 
9.25514 
9.25583 

7 
14 
21 

9.29403 
9.29466 
9.29529 

6 
12 
19 

9.33018 
9.33075 
9.33133 

6 
12 
17 

9.36342 
9.36395 
9.36449 

5 
11 

16 

9.39418 
9.39467 
9.39517 

5 

10 
15 

39 
38 
37 

36 
32 
28 

36 
40 
U 

34 
35 
36 

9.25652 
9.25721 
9.25790 

28 
35 
41 

9.29591 
9.29654 
9.29716 

25 
31 
37 

9.33190 
9.33248 
9.33305 

23 
29 
35 
41 
46 
52 

9.36502 
9.36555 
9.36608 

21 
27 
32 

9.39566 
9.39615 
9.39664 

20 
25 
29 

36 
35 
34 

24 
20 
16 
12 
8 
4 

48 
52 
56 

37 

38 
39 

9.25858 
9.25927 
9.25995 

48 
55 
62 

9.29779 
9.29841 
9.29903 

43 
50 
56 

9.33362 
9.33420 
9.33477 

9.36660 
9.36713 
9.36766 

37 

42 
48 

9.39713 
9.39762 
9.39811 

34 
39 

44 

33 
33 
31 

+3 

30 

9.26063 

68 

9.29966 

63 

9.33534 

57 

9.36819 

53 

9.39860 

49 

30 

+3 

4 

8 

12 

33  * 
33 

9.26131 
9.26199 
9.26267 

7 
14 
20 

9.30028 
9.30090 
9.30151 

6 
12 
19 

9.33591 
9.33647 
9.33704 

6 
11 
17 

9.36871 
9.36924 
9.36976 

5 
10 
16 
21 
26 
31 

9.39909 
9.39958 
9.40006 

5 
10 
15 

39 

38 
37 

56 
52 
48 

16 

20 
24 

34 
35 
36 

9.26335 
9.26403 
9.26470 

27 
34 
41 

9.30213 
9.30275 
9.30336 

25 
31 
37 

9.33761 
9.33818 
9.33874 

23 
29 
34 

9.37028 
9.37081 
9.37133 

9.40055 
9.40103 
9.40152 

20 
25 
29 

36 
35 
34 

44 
40 
36 

28 
32 
36 

37 
38 
39 

9.26538 
9.26605 
9.26672 

48 
54 
61 

9.30398 
9.30459 
9.30521 

43 
50 
56 

9.33931 
9.33987 
9.34043 

40 
46 
51 

9.37185 
9.37237 
9.37289 

36 
42 
47 

9.40200 
9.40249 
9.40297 

34 
39 

44 

33 
33 
31 

32 
28 
24 

40 

40 

9.26739 

67 

9.30582 

61 

9.34100 

56 

9.37341 

53 

9.40346 

48 

30 

20 

44 
48 

52 

41 
43 
43 

9.26806 
9.26873 
9.26940 

7 
13 
20 

9.30643 
9.30704 
9.30765 

6 
12 
18 

9.34156 
9.34212 
9.34268 

6 
11 
17 

9.37393 
9.37445 
9.37497 

5 
10 

16 

9.40394 
9.40442 
9.40490 

5 
10 
14 

19 

18 
17 

16 

12 
8 

56 

+3 
4 

M 
45 

.   46 

9.27007 
9.27073 
9.27140 

27 
34 
40 

9.30826 
9.30887 
9.30947 

24 
31 
37 

9.34324 
9.34380 
9.34436 

22 
28 
34 

9.37549 
9.37600 
9.37652 

21 
26 
31 

9.40538 
9.40586 
9.40634 

19 
24 
29 

16 
15 
14 

4 
+1 
56 

8 
12 
16 

47 

48 
49 

9.27206 
9.27273 
9.27339 

47 
54 
60 

9.31008 
9.31068 
9.31129 

43 
49 
55 

9.34491 
9.34547 
9.34602 

39 
45 
50 

9.37703 
9.37755 
9.37806 

36 

42 

47 

9.40682 
9.40730 
9.40778 

34 
38 
43 

13 
13 
11 

52 
48 
44 

20 

50 

9.27405 

66 

9.31189 

60 

9.34658 

55 

9.37858 

51 

9.40825 

47 

10 

40 

24 
28 
32 

51 
53 
53 

9.27471 
9.27537 
9.27602 

7 

13 
20 

9.31250 
9.31310 
9.31370 

6 
12 

18 

9.34713 
9.34769 

9.34824 

6 
11 
17 

9.37909 
9.37960 
9.38011 

5 
10 
15 

9.40873 
9.40921 
9.40968 

5 
9 

14 

9 

8 

7 

36 
32 
28 

36 
40 
U 

54 
55 
56 

9.27668 
9.27734 
9.27799 

26 
33 
40 

9.31430 
9.31490 
9.31549 

24 
30 
36 

9.34879 
9.34934 
9.34989 

22 
28 
33 

9.38062 
9.38113 
9.38164 

20 
26 
31 

9.41016 
9.41063 
9.41111 

19 

24 
28 

6 
5 
4 

24 
20 
16 

48 
52 
56 

57 

58 
59 

9.27864 
9.27930 
9.27995 

46 
53 
59 

9.31609 
9.31669 
9.31728 

42 
48 
54 

9.35044 
9.35099 
9.35154 

39 
44 
50 

9.38215 
9  38266 
9.38317 

36 
41 
46 

9.41158 
9.41205 
9.41252 

33 
38 

42 

3 
3 
1 

12 
8 
4 

+4 

60 

9.28060 

9.31788 

9.35209 

9.38368 

9.41300 

0 

0 

Cos. 

Cos. 

Cos. 

Cos. 

Cos. 

79°  .  5hl6m 

78°  5h  12m 

77°    5h  8m 

76°   5h  4m 

75°    5h  om 

Log.  Cosines. 

55901' 


Page  34]                   TAJBLE  III. 

Log.  Sines. 

Time. 

Arc. 

ih  Om          15° 

Ih^m        16° 

Ihgm       17° 

lhi2m     18° 

Ih  16m       19°  Arc. 

Time. 

m.  s. 

' 

Sine.    P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

' 

s.  m. 

0 

0 

9.41300 

47 

9.44034 

44 

9.46594 

41 

9.48998 

39 

9.51264 

36 

60 

+i 

4 
8 

12 

1 
2 
3 

9.41347 
9.41394 
9.41441 

5 

9 

14 

9.44078 
9.44122 
9.44166 

4 

9 

13 

9.46635 
9.46676 
9.46717 

4 

8 

12 

9.49037 
9.49076 
9.49115 

4 

8 

12 

9.51301 
9.51338 
9.51374 

4 

7 

11 

59 

58 
57 

56 
52 
48 

16 

20 
U 

4 
5 
6 

9.41488 
9.41535 
9.41582 

19 

24 
28 

9.44210 
9.44253 
9.44297 

18 
22 
26 

9.46758 
9.46800 
9.46841 

16 
21 
25 

9.49153 
9.49192 
9.49231 

16 
20 
23 

9.51411 
9.51447 
9.51484 

14 
18 
22 

56 

55 
54 

44 
40 
36 

28 
32 
36 

7 
8 
9 

9.41628 
9.41675 
9.41722 

33 
38 
42 

9.44341 
9.44385 
9.44428 

31 
35 

40 

9.46882 
9.46923 
9.46964 

29 
33 
37 

9.49269 
9.49308 
9.49347 

27 
31 
35 

9.51520 
9.51557 
9.51593 

25 
29 
32 

53 
52 
51 

32 
28 
24 

40 

10 

9.41768 

46 

9.44472 

43 

9.47005 

41 

9.49385 

39 

9.51629 

36 

50 

20 

44 
48 
52 

11 
12 
13 

9.41815 
9.41861 
9.41908 

5 

9 

14 

9.44516 
9.44559 
9.44602 

4 

9 

13 

9.47045 
9.47086 
9.47127 

4 

8 

12 

9.49424 
9.49462 
9.49500 

4 

8 

12 

9.51666 
9.51702 
9.51738 

4 

7 

11 

49 

48 
47 

10 

12 
8 

56 

+1 
4 

14 
15 
16 

9.41954 
9.42001 
9.42047 

18 
23 
28 

9.44646 
9.44689 
9.44733 

17 

22 
26 

9.47168 
9.47209 
9.47249 

16 
21 
25 

9.49539 
9.49577 
9.49615 

16 
20 
23 

9.51774 
9.51811 
9.51847 

14 
18 
22 

48 
45 

44 

4 
+3 
56" 

8 

12 
16 

17 

18 
19 

9.42093 
9.42140 
9.42186 

32 
37 
41 

9.44776 
9.44819 
9.44862 

30 
34 
39 

9.47290 
9.47330 
9.47371 

29 
33 
37 

9.49654 
9.49692 
9.49730 

27 
31 
35 

9.51883 
9.51919 
9.51955 

25 
29 
32 

43 

42 
41 

52 
48 
44 

20 

20 

9.42232 

46 

9.44905 

43 

9.47411 

40 

9.49768 

38 

9.51991 

38 

40 

40 

24 
28 
32 

21 
22 
23 

9.42278 
9.42324 
9.42370 

5 
9 

14 

9.44948 
9.44992 
9.45035 

4 

9 

13 

9.47452 
9.47492 
9.47533 

4 

8 

12 

9.49806 
9.49844 
9.49882 

4 

8 

11 

9.52027 
9.52063 
9.52099 

4 

7 

11 

39 
38 
37 

36 

32 
28 

36 
40 
U 

24 
25 
26 

9.42416 
9.42461 
9.42507 

18 
23 
28 

9.45077 
9.45120 
9.45163 

17 
22 
26 

9.47573 
9.47613 
9.47654 

16 
20 
24 

9.49920 
9.49958 
9.49996 

15 
19 
23 

9.52135 
9.52171 
9.52207 

14 
18 

22 

36 
35 
34 

24 
20 
16 

48 
52 
56 

27 

28 
29 

9.42553 
9.42599 
9.42644 

32 
37 

41 

9.45206 
9.45249 
9.45292 

30 
34 
39 

9.47694 
9.47734 
9.47774 

28 
32 
36 

9.50034 
9.50072 
9.50110 

27 
30 
34 

9.52242 
9.52278 
9.52314 

25 
29 
32 

33 
32 
31 

12 
8 
4 

+3 

30 

9.42690 

45 

9.45334 

42 

9.47814 

40 

9.50148 

38 

9.52350 

35 

30 

+2 

4 

8 

12 

31 
32 
33 

9.42735 
9.42781 
9.42826 

5 

9 

14 

9.45377 
9.45419 
9.45462 

4 

8 

13 

9.47854 
9.47894 
9.47934 

4 

8 

12 

9.50185 
9.50223 
9.50261 

4 

8 

11 

9.52385 
9.52421 
9.52456 

4 

7 

11 

29 
28 
27 

.56- 
52 
48 

16 

20 

24 

34 
35 
36 

9.42872 
9.42917 
9.42962 

18 
23 

27 

9.45504 
9.45547 
9.45589 

17 

21 

25 

9.47974 
9.48014 
9.48054 

16 
20 

24 

9.50298 
9.50336 
9.50374 

15 
19 
23 

9.52492 
9.52527 
9.52563 

14 
18 
21 

26 
25 
24 

U 
40 
36 

28 
32 
36 

37 
38 
39 

9.43008 
9.43053 
9.43098 

32 
36 
41 

9.45632 
9.45674 
9.45716 

29 
34 
38 

9.48094 
9.48133 
9.48173 

28 
32 
36 

9.50411 
9.50449 
9.50486 

27 
30 
34 

9.52598 
9.52634 
9.52669 

25 
28 
32 

23 
22 
21 

32 
28 

24 

40 

40 

9.43143 

45 

9.45758 

42 

9.48213 

40 

9.50523 

37 

9.52705 

35 

20 

20 

44 
48 
52 

41 
42 
43 

9.43188 
9.43233 
9.43278 

5 

9 

14 

9.45801 
9.45843 
9.45885 

4 

8 

13 

9.48252 
9.48292 
9.48332 

4 

8 

12 

9.50561 
9.50598 
9.50635 

4 

7 

11 

9.52740 
9.52775 
9.52811 

4 

7 

11 

19 
18 
17 

16 

12 

8 

56 

+3 
4 

44 
45 
46 

9.43323 
9.43367 
9.43412 

18 
23 

27 

9.45927 
9.45969 
9.46011 

17 
21 
25 

9.48371 
9.48411 
9.48450 

16 
20 
24 

9.50673 
9.50710 
9.50747 

15 
19 
22 

9.52846 
9.52881 
9.52916 

14 
18 
21 

16 
15 
14 

4 

+1 
56 

8 
12 
16 

47 

48 
49 

9.43457 
9.43502 
9.43546 

32 
36 
41 

9.4G053 
9.46095 
9.46136 

29 
34 
38 

9.48490 
9.48529 
9.48568 

28 
32 
36 

9.50784 
9.50821 
9.50858 

26 
30 
33 

9.52951 
9.52986 
9.53021 

25 
28 
32 

13 
12 
11 

52 
48 
U 

20 

50 

9.43591 

44 

9.46178 

41 

9.48607 

39 

9.50896 

37 

9.53056 

35 

10 

40 

24 
28 

32 

51 
52 
53 

9.43635 
9.43680 
9.43724 

4 

9 

13 

9.46220 
9.46262 
9.46303 

4 

8 

12 

9.48647 
9.48686 
9.48725 

4 

8 

12 

9.50933 
9.50970 
9.51007 

4 

7 

11 

9.53092 
9.53126 
9.53161 

4 

7 

11 

9 

8 

7 

36 
32 

28 

36 
40 
44 

54 
55 

56 

9.43769 
9.43813 
9.43857 

18 
22 
26 

9.46345 
9.46386 
9.46428 

16 
21 
25 

9.48764 
9.48803 
9.48842 

16 
20 
23 

9.51043 
9.51080 
9.51117 

15 
19 

22 

9.53196 
9.53231 
9.53266 

14 
18 
21 

6 
5 
4 

24 
20 
16 

4S 
52 
56 

67 

68 
59 

9.43901 
9.43946 
9.43990 

31 
35 
40 

9.46469 
9.46511 
9.46552 

29 
33 
37 

9.48881 
9.48920 
9.48959 

27 
31 
35 

9.51154 
9.51191 
9.51227 

26 
30 
33 

9.53301 
9.53336 
9.53370 

25 
28 
32 

3 
2 
1 

12 
8 
4 

+* 

69 

9.44034 

9.46594 

9.48998 

9.51264 

9.53405 

0 

0 

Cos. 

Cos. 

Cos. 

Cos. 

Cos. 

74°    4'^  56m 

73°  4^  52m 

72°  4^  48m 

71°  4^  -f^'" 

70°    4h  40m 

Log,  Coaines. 

TABLE  III.                   [Page  35 

Log.  Sines. 

Time. 

Arc. 

1^  20m        20° 

lh2pn      21° 

lh2Sm     22° 

Ih  32m     23° 

1^  06m       24° 

Arc. 

Time. 

m.  s. 

' 

Sine.    P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.    P.  P. 

' 

s.  m. 

0 

0 

9.53405 

35 

9.55433 

33 

9.57358 

31 

9.59188 

30 

9.60931 

28 

60 

+4 

4 

8 

12 

1 
2 
3 

9.53440 
9.53475 
9.53509 

4 

7 

11 

9.55466 
9.55499 
9.55532 

3 

7 
10 

9.57389 
9.57420 
9.57451 

3 
6 
9 

9.59218 
9.59247 
9.59277 

3 
6 
9 

9.60960 
9.60988 
9.61016 

3 
6 

8 

59 
58 
57 
56 
55 
54 

56 
52 
48 

44 
40 
36 

16 
•20 
24 

1 
5 

6 

9.53544 
9.53578 
9.53613 

14 
18 
21 

9.55564 
9.55597 
9.55630 

13 
17 
20 

9.57482 
9.57514 
9.57545 

12 
16 
19 

9.59307 
9.59.336 
9.59366 

12 
15 
18 

9.61045 
9.61073 
9.61101 

11 
14 
17 

28 
32 
36 

7 
8 
9 

9.53647 
9.53682 
9.53716 

25 
28 
32 

9.55663 
9.55695 
9.55728 

23 
26 
30 

9.57576 
9.57607 
9.57638 

22 
25 

28 

9.59396 
9.59425 
9.59455 

21 

24 
27 

9.61129 
9.61158 
9.61186 

20 
22 
25 

53 
52 
51 

32 
28 
24 

40 

10 

9.53751 

34 

9.55761 

32 

9.57669 

31 

9.59484 

29 

9.61214 

28 

50 

20 

U 
48 

52 

11 
12 
13 

9.53785 
9.53819 
9.53854 

3 

7 

10 

9.55793 
9.55826 
9.55858 

3 

6 

10 

9.57700 
9.57731 

9.57762 

3 
6 
9 

9.59514 
9.59543 
9.59573 

3 
6 
9 

9.61242 
9.61270 
9.61298 

3 
6 

8 

49 

48 
47 

16 

12 

8 

36 

+1 
4 

11 
15 
16 

9.53888 
9.53922 
9.53957 

14 
17 
20 

9.55891 
9.55923 
9.55956 

13 
16 
19 

9.57793 
9.57824 
9.57855 

12 
16 
19 

9.59602 
9.59632 
9.59661 

12 
15 
17 

9.61326 
9.61354 
9.61382 

11 
14 
17 

46 
45 
44 
43 
42 
41 

4 
+3 
56 

8 

12 
16 

17 
18 
19 

9.53991 
9.54025 
9.54059 

24 
27 
31 

9.55988 
9.56021 
9.56053 

22 
26 
29 

9.57885 
9.57916 
9.57947 

22 

25 
28 

9.59690 
9.59720 
9.59749 

20 
23 
26 

9.61411 
9.61438 
9.61466 

20 
22 
25 

52 
48 
44 

20 

20 

9.54093 

34 

9.56085 

32 

9.57978 

30 

9.59778 

29 

9.61494 

28 

40 

40 

24 
28 
32 

21 
22 
23 

9.54127 
9.54161 
9.54195 

3 

7 

10 

9.56118 
9.56150 
9.56182 

3 
6 

10 

9.58008 
9.58039 
9.58070 

3 
6 
9 

9.59808 
9.59837 
9.59866 

3 
6 
9 

9.61522 
9.61550 
9.61578 

3 
6 

8 

39 
38 
37 

36 
32 
28 

36 
40 
44 

24 
25 
26 

9.54229 
9.54263 
9.54297 

14 
17 
20 

9.56215 
9.56247 
9.56279 

13 
16 
19 

9.58101 
9.58131 
9.58162 

12 
15 

18 

9.59895 
9.59924 
9.59954 

12 
15 
17 

9.61606 
9.61634 
9.61662 

11 
14 

17 

36 
35 
34 

24 
20 
16 

48 
52 
56 

27 

28 
29 

9.54331 
9.54365 
9.54399 

24 
27 
31 

9.56311 
9.56343 
9.56375 

22 
26 
29 

9.58192 
9.58223 
9.58253 

21 

24 
27 

9.59983 
9.60012 
9.60041 

20 
23 
26 

9.61689 
9.61717 
9.61745 

20 
22 
25 

33 
32 
31 

12 
8 
4 

+2 

30 

9.54433 

34 

9.56408 

32 

9.58284 

30 

9.60070 

29 

9.61773 

28 

30 

+2 

4 
8 

12 

31 
32 
33 

9.54466 
9.54500 
9.54534 

3 

7 
10 

9.56440 
9.56472 
9.56504 

3 

6 

10 

9.58314 
9.58345 
9.58375 

3 
6 
9 

9.60099 
9.60128 
9.60157 

3 
6 
9 

9.61800 
9.61828 
9.61856 

3 
6 

8 

29 

28 
27 

56 
52 
48 

16 
20 

24 

34 
35 
36 

9.54567 
9.54601 
9.54635 

14 
17 
20 

9.56536 
9.56568 
9.56599 

13 
16 
19 

9.58406 
9.58436 
9.58467 

12 
15 

18 

9.60186 
9.60215 
9.60244 

12 
15 
17 

9.61883 
9.61911 
9.61939 

11 
14 
17 

26 
25 
24 

U 
40 
36 

28 
32 
36 

37 

38 
39 

9.54668 
9.54702 
9.54735 

24 
27 
31 

9.56631 
9.56663 
9.56695 

22 
26 
29 

9.58497 
9.58527 
9.58557 

21 
24 

27 

9.60273 
9.60302 
9.60331 

20 
23 
26 

9.61966 
9.61994 
9.62021 

20 
22 
25 

23 
22 
21 

32 
28 
24 

40 

40 

9.54769 

33 

9.56727 

32 

9.58588 

30 

9.60359 

29 

9.62049 

27 

20 

20 

U 
48 
52 

41 
42 
43 

9.54802 
9.54836 
9.54869 

3 

7 

10 

9.56759 
9.56790 
9.56822 

3 

6 

10 

9.58618 
9.58648 
9.58678 

3 
6 
9 

9.60388 
9.60417 
9.60446 

3 
6 
9 

9.62076 
9.62104 
9.62131 

3 
5 

8 

19 

18 
17 

16 

12 

8 

56 
+3 
4 

44 
45 
46 

9.54903 
9.54936 
9.54969 

13 
17 
20 

9.56854 
9.56886 
9.56917 

13 
16 
19 

9.58709 
9.58739 
9.58769 

12 
15 
18 

9.60474 
9.60503 
9.60532 

12 
15 
17 

9.62159 
9.62186 
9.62214 

11 
14 
16 

16 
15 
14 

4 

+1 
56 

8 
12 
16 

47 

48 
49 

9.55003 
9.55036 
9.55069 

23 
26 
30 

9.56949 
9.56980 
9.57012 

22 
26 
29 

9.58799 
9.58829 
9.58859 

21 
24 

27 

9.60561 
9.60589 
9.60618 

20 
23 
26 

9.62241 
9.62268 
9.62296 

19 
22 

24 

13 
12 
11 

52 
48 
U 

20 

50 

9.55102 

33 

9.57044 

31 

9.58889 

30 

9.60646 

29 

9.62323 

27 

10 

40 

24 
28 
32 

51 
52 
53 

9.55136 
9.55169 
9.55202 

3 

7 
10 

9.57075 
9.57107 
9.57138 

3 
6 
9 

9.58919 
9.58949 
9.58979 

3 
6 
9 

9.60675 
9.60704 
9.60732 

3 
6 
9 

9.62350 
9.62377 
9.62405 

3 
5 

8 

9 

8 

7 

36 
32 
28 

36 
40 
U 

54 
55 

56 

9.55235 
9.55268 
9.55301 

13 
17 
20 

9.57169 
9.57201 
9.57232 

12 
16 
19 

9.59009 
9.59039 
9.59069 

12 
15 
18 

9.60761 
9.60789 
9.60818 

12. 
15 

17 

9.62432 
9.62459 
9.62486 

11 
14 
16 

6 
5 
4 

24 
20 
16 

4S 
52 
56 

57 

58 
59 

9.55334 
9.55367 
9.55400 

23 
26 
30 

9.57264 
9.57295 
9.57326 

22 
25 
28 

9.59098 
9.59128 
9.59158 

21 
24 
27 

9.60846 
9.60875 
9.60903 

20 
23 
26 

9.62513 
9.62541 
9.62568 

19 

22 
24 

3 
2 

1 

12 
8 
4 

+4 

60 

9.55433 

9.57358 

9.59188 

9.60931 

9.62595 

0 

0 

Cos. 

Cos. 

Cos. 

Cos. 

Cos. 

69°   4^  36m 

68°  4h  32-m 

67°  4^  28m 

66°  4^  24m 

65°   4^  20m 

Log.  Cosines. 

Page  36]                  TABLE  III. 

Log  Sines. 

Time. 

Arc. 

1^40171      25° 

Ih  44m      36° 

lh4Sm      270 

lh52'm     38° 

ift  56'm      39° 

Arc. 

Time. 

m.  s. 

' 

Sine.    P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

' 

m.  s. 

0 

0 

9.62595 

27 

9.64184 

26 

9.65705 

25 

9.67161 

24 

9.68557 

23 

60 

+4 

4 

8 

12 

1 
3 

9.62622 
9.62G49 
9.62676 

3 
5 

8 

9.64210 
9.64236 
9.64262 

3 
5 

8 

9.65729 
9.65754 
9.65779 

3 
5 

8 

9.67185 
9.67208 
9.67232 

2 
5 

7 

9.68580 
9.68603 
9.68625 

2 
5 

7 

59 

58 
57 

56 

52 
48 

16 

20 
24 

4 
5 
6 

9.62703 
9.62730 
9.62757 

11 
14 
16 

9.64288 
9.64313 
9.64339 

10 
13 
16 

9.G5804 
9.65828 
9.65853 

10 
13 

15 

9.67256 
9.67280 
9.67303 

10 

12 
14 

9.68648 
9.68671 
9.68694 

9 
12 
14 

56 
55 
54 

U 
40 
36 

28 
32 
36 

7 

8 
9 

9.62784 
9.62811 
9.62838 

19 
22 
24 

9.64365 
9.64391 

9.64417 

18 
21 
23 

9.65878 
9.65902 
9.65927 

18 
20 
23 

9.67327 
9.67350 
9.67374 

17 
19 
22 

9.68716 
9.68739 
9.68762 

16 
18 
21 

53 
52 
51 

32 
28 
24 

40 

10 

9.62865 

37 

9  64442 

36 

9.65952 

35 

9.67398 

23 

9.68784 

23 

50 

20 

U 
48 

52 

11 
12 
13 

9.62892 
9.62918 
9.62945 

3 
5 

8 

9.64468 
9.64494 
9.64519 

3 
5 
8 

9.65976 
9.66001 
9.66025 

3 
5 

8 

9.67421 
9.67445 
9.67468 

2 
5 

7 

9.68807 
9.68829 
9.68852 

2 
5 

7 

49 

48 
47 

16 

12 

8 

56 

+1 
4 

14 
15 
16 

9.62972 
9.62999 
9.63026 

11 
14 
16 

9.64545 
9.64571 
9.64596 

10 
13 
16 

9.66050 
9.66075 
9.66099 

10 
13 
15 

9.67492 
9.67515 
9.67539 

9 

12 
14 

9.68875 
9.68897 
9.68920 

9 

12 
14 

46 
45 
44 

4 
+3 
56 

8 
12 
16 

17 

18 
19 

9.63052 
9.63079 
9.63106 

19 

22 
24 

9.64622 
9.64647 
9.64673 

18 
21 
23 

9.66124 
9.66148 
9.66173 

18 
20 
23 

9.67562 
9.67586 
9.67609 

16 
18 
21 

9.68942 
9.68965 
9.68987 

16 
18 
21 

43 
42 
41 

52 
48 
44 

20 

20 

9.63133 

37 

9.64698 

35 

9.66197 

34 

9.67633 

23 

9.69010 

23 

40 

40 

24 
28 
32 

31 
32 
23 

9.63159 
9.63186 
9.63213 

3 
5 

8 

9.64724 
9.64749 
9.64775 

3 
5 

8 

9.66221 
9.66246 
9.66270 

2 
5 

7 

9.67656 
9.67680 
9.67703 

2 
5 

7 

9.69032 
9.69055 
9.69077 

2 
4 

7 

39 

38 
37 

36 
32 
28 

36 
40 
44 

24 

25 
26 

9.63239 
9.63266 
9.63292 

11 
14 
16 

9.64800 
9.64826 
9.64851 

10 
13 
15 

9.66295 
9.66319 
9.66343 

10 
12 

14 

9.67726 
9.67750 
9.67773 

9 
12 
14 

9.69100 
9.69122 
9.69144 

9 
11 
13 

36 
35 
34 

24 
20 
16 

48 
52 
56 

37 

28 
29 

9.63319 
9.63345 
9.63372 

19 

22 
24 

9.64877 
9.64902 
9.64927 

18 
20 
23 

9.66368 
9.66392 
9.66416 

17 
19 
22 

9.67796 
9.67820 
9.67843 

16 
18 
21 

9.69167 
9.69189 
9.69212 

15 
18 
20 

33 
32 
31 

12 
8 
4 

+2 

30 

9.63398 

36 

9.64953 

25 

9.66441 

34 

9.67866 

23 

9.69234 

23 

30 

+2 

4 

8 

12 

31 
32 
33 

9.63425 
9.63451 
9.63478 

3 
5 

8 

9.64978 
9.65003 
9.65029 

3 
5 

8 

9.66465 
9.66489 
9.66513 

2 
5 

7 

9.67890 
9.67913 
9.67936 

2 
5 

7 

9.69256 
9.69279 
9.69301 

2 
4 
i 

39 

38 
37 

56 
52 
48 

16 

20 
24 
28 
32 
36 

34 
35 
36 
37 
38 
39 

9.63504 
9.63531 
9.63557 

10 
13 
16 

9.65054 
9.65079 
9.65104 

10 
13 
15 

9.66537 
9.66562 
9.66586 

10 
12 
14 

9.67959 
9.67982 
9.68006 

9 
12 

14 

9.69323 
9.69345 
9.69368 

9 

11 

13 

36 
35 
34 

44 
40 
36 

9.63583 
9.63610 
9.63636 

18 
21 
23 

9.65130 
9.65155 
9.65180 

18 
20 
23 

9.66610 
9.66634 
9.66658 

17 
19 

22 

9.68029 
9.68052 
9.68075 

16 
18 
21 

9.69390 
9.69412 
9.69434 

15 
18 
20 

33 
32 
31 

32 
28 
24 

40 

40 

9.63662 

36 

9.65205 

25 

9.66682 

34 

9.68098 

23 

9.69456 

33 

30 

20 

44 
48 
52 

41 
43 
43 

9.63689 
9.63715 
9.63741 

3 
5 

8 

9.65230 
9.65255 
9.65281 

3 
5 

8 

9.66706 
9.66731 
9.66755 

2 

5 

7 

9.68121 
9.68144 
9.68167 

2 
5 

7 

9.69479 
9.69501 
9.69523 

2 

4 
7 

19 
28 
17 

16 

12 

8 

56 
+3 
4 

44 
45 
46 

9.63767 
9.63794 
9.63820 

10 
13 
16 

9.65306 
9.65331 
9.65356 

10 
13 
15 

9.66779 
9.66803 
9.66827 

10 
12 
14 

9.68190 
9.68213 
9.68237 

9 

12 
14 

9.69545 
9.69567 
9.69589 

9 
11 
13 

16 
15 
14 

4 
+1 
56 

8 
12 
16 

47 

48 
49 

9.63846 
9.63872 
9.63898 

18 
21 
23 

9.65381 
9.65406 
9.65431 

18 
20 
23 

9.66851 
9.66875 
9.66899 

17 
19 

22 

9.68260 
9.68283 
9.68305 

16 
18 
21 

9.69611 
9.69633 
9.69655 

15 

18 
20 

13 
12 
11 

52 
48 
U 

20 

50 

9.63924 

36 

9.65456 

35 

9.66922 

34 

9.68328 

33 

9.09677 

32 

10 

40 

24 
28 
32 

51 
53 
53 

9.63950 
9.63976 
9.64002 

3 
5 

8 

9.65481 
9.65506 
9.65531 

3 
5 
8 

9.66946 
9.66970 
9.66994 

2 
5 

7 

9.68351 
9.68374 
9.68397 

2 
5 

7 

9.69699 
9.69721 
9.69743 

2 

4 

7 

9 

8 

7 

36 

32 
28 

36 
40 
U 

54 
55 
56 

9.64028 
9.64054 
9.64080 

10 
13 

16 

9.65556 
9.65580 
9.65605 

10 
13 
15 

9.67018 
9.67042 
9.67066 

10 
12 
14 

9.68420 
9.68443 
9.68466 

9 
12 
14 

9.69765 
9.69787 
9.69809 

9 
11 
13 

6 
5 
4 

24 
20 
16 

48 
52 
56 

57 

58 
59 

9.64106 
9.64132 
9.64158 

18 
21 
23 

9.65630 
9.65655 
9.65680 

18 
20 
23 

9.67090 
9.67113 
9.67137 

17 
19 
22 

9.6S489 
9.68512 
9.68534 

16 
18 
21 

9.69831 
9.69853 
9.69875 

15 
18 
20 

3 
2 

1 

12 
8 
4 

+4 

60 

9.64184  ( 

9.65705 

9.67161 

9.68557 

9.69897 

0 

0 

Cos. 

Cos. 

Cos. 

Cos. 

Cos. 

! 

64°  4^  16m 

63°  4^  12^ 

62°  4^  5"» 

61°   4^  4"* 

60°    4^  0^ 

Log.  Coaiues. 

TABLE  III.                  [Page  37 

Log  Sines. 

Time. 

Arc. 

2h  om         30° 

2h 4m       31° 

on  sm       32° 

2h  12m     33° 

2h  16m       34° 

Arc. 

Time. 

m.  s. 

' 

Sine.    P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.    P.  P. 

' 

s.  m. 

+4 

0 

0 

9.69897 

22 

9.71184 

21 

9.72421 

20 

9.73611 

19 

9.74756 

19 

60 

4 

8 

12 

1 
3 
3 

9.69919 
9.69941 
9.69963 

2 
4 

7 

9.71205 
9.71226 
9.71247 

2 
4 
6 

9.72441 
9.72461 
9.72482 

2 
4 
6 
8 
10 
12 

9.73630 
9.73650 
9.73669 

2 
4 
6 

9.74775 
9.74794 
9.74812 

2 
4 
6 

59 
58 
57 

56 
52 
48 

16 
20 
24 

5 

6 

9.69984 
9.70006 
9.70028 

9 
11 
13 

9.71268 
9.71289 
9.71310 

8 
11 
13 

9.72502 
9.72522 
9.72542 

9.73689 
9.73708 
9.73727 

8 
10 
11 

9.74831 
9.74850 
9.74868 

8 

10 
11 

56 
55 
54 

44 
40 
36 

28 
32 
36 

7 

8 
9 

9.70050 
9.70072 
9.70093 

15 

18 
20 

9.71331 
9.71352 
9.71373 

15 
17 
19 

9.72562 
9.72582 
9.72602 

14 
16 
18 

9.73747 
9.73766 
9.73785 
9.73805 

13 
15 
17 
19 

9.74887 
9.74906 
9.74924 

13 
15 
17 

53 
52 
51 

32 
28 

24 

40 

10 

9.70115 

22 

9.71393 

21 

9.72622 

20 

9.74943 

19 

50 

20 

U 
48 

52 

11 
13 
13 

9.70137 
9.70159 
9.70180 

2 
4 

7 

9.71414 
9.71435 
9.71456 

0 

4 
6 

9.72643 
9.72663 
9.72683 

2 
4 
6 

9.73824 
9.73843 
9.73863 

2 
4 
6 

9.74961 
9.74980 
9.74999 

2 
4 
6 

49 

48 
47 

16 

12 
8 

56 

+1 
4 

U 
15 
16 

9.70202 
9.70224 
9.70245 

9 
11 
13 

9.71477 
9.71498 
9.71519 

8 
11 
13 

9.72703 
9.72723 
9.72743 

8 
10 
12 

9.73882 
9.73901 
9.73921 

8 
10 
11 

9.75017 
9.75036 
9.75054 

8 
10 
11 

46 
45 
44 

4 
+3 
56 

8 
12 
16 

17 

18 
19 

9.70267 
9.70288 
9.70310 

15 
18 
20 

9.71539 
9.71560 
9.71581 

15 
17 
19 

9.72763 
9.72783 
9.72803 

14 
16 

18 

9.73940 
9.7.3959 
9.73978 

13 
15 
17 

9.75073 
9.75091 
9.75110 

13 

15 
17 

43 
42 
41 

52 
48 
U 

20 

20 

9.70332 

21 

9.71602 

31 

9.72823 

20 

9.73997 

19 

9.75128 

18 

40 

40 

24 
28 
32 

21 
22 
23 

9.70353 
9.70375 
9.70396 

2 
4 
6 

9.71622 
9.71643 
9.71664 

2 
4 
6 

9.72843 
9.72863 

9. 72883 

2 
4 
6 

9.74017 
9.74036 
9.74055 

2 
4 
0 

9.75147 
9.75165 
9.75184 

2 
4 
5 

39 
38 
37 

36 

32 
28 

36 
40 
U 

24 
25 
26 

9.70418 
9.70439 
9.70461 

8 
11 
13 

9.71685 
9.71705 
9.71726 

8 
11 
13 

9.72902 
9.72922 
9.72942 

8 
10 
12 

9.74074 
9.74093 
9.74113 

8 
10 
11 

9.75202 
9.75221 
9.75239 

7 

9 

11 

36 
35 
34 

24 
20 
16 

48 
52 
56 

27 

28 
29 

9.70482 
9.70504 
9.70525 

15 
17 
19 

9.71747 
9.71767 
9.71788 

15 
17 
19 

9.72962 
9.72982 
9.73002 

14 

16 
18 

9.74132 
9.74151 
9.74170 

13 
15 

17 

9.75258 
9.75276 
9.75294 

13 
14 
16 

33 
32 
31 

12 
S 
4 

+3 

30 

9.70547 

21 

9.71809 

21 

9.73022 

20 

9.74189 

19 

9.75313 

18 

30 

+2 

4 

8 

12 

31 
32 
33 

9.70568 
9.70590 
9.70611 

2 

4 
6 

9.71829 
9.71850 
9.71870 

2 
4 
6 

9.73041 
9.73061 
9.73081 

2 

4 
6 

9.74208 
9.74227 
9.74246 

2 
4 
6 

9.75331 
9.75350 
9.75368 

2 
4 
5 

29 

28 
27 

56 
52 
48 

16 
20 

24 

34 
35 
36 

9.70633 
9.70654 
9.70675 

8 
11 
13 

9.71891 
9.71911 
9.71932 

8 
11 
13 

9.73101 
9.73121 
9.73140 

8 
10 
12 

9.74265 
9.74284 
9.74303 

8 
10 
11 

9.75386 
9.75405 
9.75423 

7 

9 

11 

26 
25 
24 

44 
40 
36 

28 
32 
36 

37 
38 
39 

9.70697 
9.70718 
9.70739 

15 
17 
19 

9.71952 
9.71973 
9.71994 

15 

17 
19 

9.73160 
9.73180 
9.7.3200 

14 
16 
18 

9.74322 
9.74341 
9.74360 

13 

15 
17 

9.75441 
9.75459 

9.75478 

13 
14 
16 

23 
22 
21 

32 
28 
24 

40 

40 

9.70761 

21 

9.72014 

30 

9.73219 

20 

9.74379 

19 

9.75496 

18 

20 

20 

44 
48 
52 

41 
42 
43 

9.70782 
9.70803 
9.70824 

2 
4 
6 

9.72034 
9.72055 
9.72075 

2 
4 
6 

9.73239 
9.73259 
9.73278 

2 
4 
6 

9.74398 
9.74417 
9.74436 

2 
4 
6 

9.75514 
9.75533 
9.75551 

2 
4 
5 

19 

18 
17 

16 

12 
8 

56 

+3 
4 

44 
45 
46 

9.70846 
9.70867 
9.70888 

8 
11 
13 

9.72096 
9.72116 
9.72137 

8 

10 
12 

9.73298 
9.73318 
9.73337 

8 
10 
12 

9.74455 
9.74474 
9.74493 

8 
10 
11 

9. 755(69 
9.75587 
9.75605 

7 

9 

11 

16 
15 
14 

4 

+  1 
56 

8 
12 
16 

47 

48 
49 

9.70909 
9.70931 
9.70952 

15 
17 
19 

9.72157 

9.72177 
9.72198 

14 
16 
18 

9.73357 
9.73377 
9.73396 

14 
16 
18 

9.74512 
9.74531 
9.74549 

13 

15 
17 

9.75624 
9.75642 
9.75660 

13 
14 
16 

13 
12 
11 

52 
48 
44 

20 

50 

9.70973 

21 

9.72218 

20 

9.73416 

20 

9.74568 

19 

9.75678 

18 

10 

40 

24 
28 
32 

51 
52 
53 

9.70994 
9.71015 
9.71036 

2 
4 
6 

9.72238 
9.72259 
9.72279 

2 
4 
6 

9.73435 
9.73455 
9.73474 

2 
4 
6 

9.74587 
9.74606 
9.74625 

2 
4 
6 

9.75696 
9.75714 
9.75733 

2 
4 
5 

9 

8 

7 

36 
32 
28 

36 
40 

U 

54 
55 
56 

9.71058 
9.71079 
9.71100 

8 
11 
13 

9.72299 
9.72320 
9.72340 

8 
10 
12 

9.73494 
9.73513 
9.73533 

8 
10 

12 

9.74644 
9.74662 
9.74681 

8 
10 
11 

9.75751 
9.75769 
9.75787 

7 

9 

11 

6 

5 
4 

24 
20 
16 

48 
52 
56 

57 

58 
59 

9.71121 
9.71142 
9.71163 

15 
17 
19 

9.72360 
9.72381 
9.72401 

14 
16 

18 

9.73552 
9.73572 
9.73591 

14 
16 
18 

9.74700 
9.74719 
9.74737 

13 
15 

17 

9.75805 
9.75823 
9.75841 

13 
14 
16 

3 

2 
1 

12 
8 
4 

+* 

60 

9.71184 

9.72421 

9.73611 

9.74756 

9.75859 

0 

0 

Ck)s. 

Cos 

Cos. 

Cos. 

Cos. 

59°   3h  56m 

58°  3fi  52in 

57°  3h48m 

56°  3h  44m 

55°   3^  4Qm 

Log  Cosines. 

Page  38]                  TABLE  III. 

Log.  Sines. 

Time. 

Arc. 

2^  20m       35° 

2h  24^     36° 

2h  28m     37° 

2^  32m     38° 

2^  S6m      39° 

Arc. 

Time. 

m.  s. 

' 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   J'.  ]'. 

Sine.   P.  P. 

Sine.    P.  P. 

/ 

s.  m. 

0 

0 

9.75859 

18 

9.76922 

17 

9.77946 

17 

9.78934 

16 

9.79887 

16 

60 

+4 

4 

8 

12 

1 
2 
3 

9.75877 
9.75895 
9.75913 

2 
4 
5 

9.76939 
9.76957 
9.76974 

2 
3 
5 

9.77963 
9.77980 
9.77997 

2 
3 
5 

9.78950 
9.78967 
9.78983 

2 
3 
5 

9.79903 
9.79918 
9.79934 

2 
3 
5 

59 

58 
57 

56 

52 
48 

16 
20 

24 

4 
5 
6 

9.75931 
9.75949 
9.75967 

7 

9 

11 

9.70991 
9.77009 
9.77026 

7 

9 

10 

9.78013 
9.78030 
9.78047 

7 

9 

10 

9.78999 
9.79015 
9.79031 

6 

8 

10 

9.79950 
9.79965 
9.79981 

6 

8 

10 

56 
55 
54 

44 
40 
36 

28 
32 
36 

7 

8 

9 

10 

9.75985 
9.76003 
9.76021 

13 
14 
16 

9.77043 
9.77061 
9.77078 

12 
14 
15 

9.78063 
9.78080 
9.78097 

12 
14 
15 

9.79047 
9.79063 
9.79079 

11 
13 
14 
16 

9.79996 
9.80012 
9.80027 
9.80043' 

11 
13 
14 
15 

53 
53 
51 

32 
28 
24 

40 

9.76039 

18 

9.77095 

17 

9.78113 

17 

9.79095 

50 

20 

44 
48 
52 

11 
13 
13 

9.76057 
9.76075 
9.76093 

2 
4 
5 

9.77112 
9.77130 

9.77147 

2 
3 
5 

9.78130 
9.78147 
9.78163 

2 
3 
5 

9.79111 
9.79128 
9.79144 

2 
3 
5 

9.80058 
9.80074 
9.80089 

2 
3 

5 

49 

48 
47 

16 

12 
8 

56 

+1 
4 

14 
15 
16 

9.76111 
9.76129 
9.76146 

7 

9 

11 

9.77164 
9.77181 
9.77199 

7 

9 

10 

9.78180 
9.78197 
9.78213 

7 

9 

10 

9.79160 
9.79176 
9.79192 

6 

8 

10 

9.80105 
9.80120 
9.80136 

6 
8 
9 

46 
45 
44 

4 
+3 
56 

8 
12 
16 

17 

18 
19 

9.76164 
9.76182 
9.76200 

13 
14 
16 

9.77216 
9.77233 
9.77250 

12 
14 
15 

9.78230 
9.78246 
9.78263 

12 
14 
15 

9.79208 
9.79224 
9.79240 

11 
13 

14 

9.80151 
9.80166 
9.80182 

11 
12 

14 

43 
42 
41 

52 
48 
44 

20 

30 

9.76218 

18 

9.77268 

17 

9.78280 

16 

9.79256 

16 

9.80197 

15 

40 

40 

24 
28 
32 

31 
33 
33 

9.76236 
9.76253 
9.70271 

2 

4 
5 

9.77285 
9.77302 
9.77319 

2 
3 
5 

9.78296 
9.78313 
9.78329 

2 
3 
5 

9.79272 
9.79288 
9.79304 

2 
3 
5 

9.80213 
9.80228 
9.80244 

2 
3 
5 

39 
38 
37 

36 
32 
28 

36 
40 
U 

34 
35 
26 

9.76289 
9.76307 
9.76324 

7 

9 

11 

9.77336 
9.77353 
9.77370 

7 

9 

10 

9.78346 
9.78362 
9.78379 

6 

8 

10 

9.79319 
9.79335 
9.79351 

6 

8 

10 

9.80259 
9.80274 
9.80290 

6 
8 
9 

36 
35 
34 

24 
20 
16 

48 
52 
56 

37 
38 
39 

9.76342 
9.76360 
9.76378 

13 
14 
16 

9.77387 
9.77405 
9.77422 

12 
14 
15 
17 

9.78395 
9.78412 
9.78428 

11 
13 
14 

9.79367 
9.79383 
9.79399 

11 
13 

14 

9.80305 
9.80320 
9.80336 

11 
12 
14 

33 
33 
31 

12 
8 
4 

+2 

30 

9.76395 

18 

9.77439 

9.78445 

16 

9.79415 

16 

9.80351 

15 

30 

+2 

4 
8 

12 

31 
33 
33 

9.76413 
9.76431 
9.76448 

2 
4 
5 

9.77456 
9.77473 
9.77490 

2 
3 
5 

9.78461 
9.78478 
9.78494 

2 
3 
5 

9.79431 
9.79447 
9.79463 

2 
3 
5 

9.80366 
9.80382 
9.80397 

2 
3 
5 

39 

38 
37 

56 

52 
48 

16 

20 
24 

34 
35 
36 

9.76466 
9.76484 
9.76501 

7 

9 

11 

9.77507 
9.77524 
9.77541 

.7 

9 

10 

9.78510 
9.78527 
9.78543 

6 

8 

10 

9.79478 
9.79494 
9.79510 

6 
8 
10 
11 
13 
14 

9.80412 
9.80428 
9.80443 

6 
8 
9 

36 
35 
34 

44 
40 
36 

28 
32 
36 

37 

38 
39 

9.76519 
9.76537 
9.76554 

13 
14 
16 

9.77558 
9.77575 
9.77592 

12 
14 
15 

9.78560 
9.78576 
9.78592 

11 
13 
14 

9.79526 
9.79542 
9.79558 

9.80458 
9.80473 
9.80489 

11 
12 
14 

33 
33 
31 

30 

32 
28 
24 

40 

40 

9.76572 

17 

9.77609 

17 

9.78609 

16 

9.79573 

16 

9.80504 

15 

20 

44 
48 
52 

41 
43 
43 

9.76590 
9.76607 
9.76625 

2 
3 
5 

9.77626 
9.77643 
9.77660 

2 
3 
5 

9.78625 
9.78642 
9.78658 

2 
3 
5 

9.79589 
9.79605 
9.79621 

2 
3 
5 

9.80519 
9.80534 
9.80550 

2 
3 
5 

19 
18 
17 

16 

12 
8 

56 

+3 
4 

44 
45 
46 

9.70642 
9.76660 
9.76677 

7 

9 

10 

9.77677 
9.77694 
9.77711 

7 

9 

10 

9.78674 
9.78691 
9.78707 

6 

8 

10 

9.79636 
9.79652 
9.79668 

6 

8 

10 

9.80565 
9.80580 
9.80595 

6 

8 
9 

16 
15 
14 

4 
+1 
56 

8 
12 
16 

47 

48 
49 

9.76695 
9.76712 
9.76730 

12 
14 
15 

9.77728 
9.77744 
9.77761 

12 
14 
15 

9.78723 
9.78739 
9.78756 

11 
13 
14 

9.79684 
9.79699 
9.79715 

11 
13 
14 

9.80610 
9.80625 
9.80641 

11 
12 
14 

13 
13 
11 

52 
48 
U 

20 

50 

9.76747 

17 

9.77778 

17 

9.78772 

16 

9.79731 

16 

9.80656 

15 

10 

40 

24 
28 
32 

51 
53 
53 

9.76765 
9.76782 
9.76800 

2 
3 
5 

9.77795 
9.77812 
9.77829 

2 
3 
5 

9.78788 
9.78805 
9.78821 

2 
3 
5 

9.79746 
9.79762 
9.79778 

2 
3 
5 

9.80671 
9.806S6 
9.80701 

2 
3 
5 

9 

8 

7 

36 

32 
28 

36 
40 

44 

54 
55 
56 

9.76817 
9.76835 
9.76852 

7 

9 

10 

9.77846 
9.77862 
9.77879 

7 

9 

10 

9.78837 
9.78853 
9.78869 

6 

8 

10 

9.79793 
9.79809 
9.79825 

6 

8 

10 

9.80716 
9.80731 
9.80746 

6 
8 
9 

6 
5 
4 

24 
20 
16 

48 
52 
56 

57 

58 
59 

9.76870 
9.76887 
9.76904 

12 
14 

15 

9.77896 
9.77913 
9.77930 

12 
14 
15 

9.78886 
9.78902 
9.78918 

11 
13 
14 

9.79840 
9.79856 
9.79872 

11 
13 
14 

9.80762 
9.80777 
9.80792 

11 

12 
14 

3 
2 

1 

12 
8 
4 

+4 

60 

9.76922 

9.77946  ! 

9.78934 

9.79887 

9.80807 

0  1  0 

Cos. 

Cos. 

Cos. 

Cos. 

Cos. 

54°  Sn  36m 

53°  Sh  33'n 

53°  3h  28m 

61°  .5ft  24"^ 

50°  3h  20m 

Log.  Cosines. 

TABLE  III.                  [Page  39 

Log.  Sines. 

Time. 

Arc. 

2h  40m       40° 

2h  44m     41° 

^h  48m     42° 

2h  52m     43° 

2h  56m       44° 

Arc. 

Time. 

m.  s. 

' 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sinp.   P.  P. 

' 

s.  m. 

0 

0 

9.80807 

15 

9.81694 

14 

9.82551 
9.82565 
9.82579 
9.82593 

14 

9.83378 

14 

9.84177 

13 

60 

+4 

4 

8 

12 

1 
2 
3 

9.80822 
9.80837 
9.80852 

2 
3 
5 

9.81709 
9.81723 
9.81738 

1 
3 

4 

1 
3 

4 

9.83392 
9.83405 
9.83419 

1 
3 
4 

9.84190 
9.84203 
9.84216 

1 
3 

4 

59 

58 
57 

56 

52 
4S 

16 

20 

24 

4 
5 
6 

9.80867 
9.80882 
9.80897 

6 
8 
9 

9.81752 
9.81767 
9.81781 

6 

7 
8 

9.82607 
9.82621 
9.82635 
9.82649 
9.82663 
9.82677 

6 

7 
8 

9.83432 
9.83446 
9.83459 

0 

7 
8 

9.84229 
9.84242 
9.84255 

5 

7 
8 

56 
55 
54 

44 
40 
36 

28 
32 
36 

1 
8 
9 

9.80912 
9.80927 
9.80942 

11 
12 
14 

9.81796 
9.81810 
9.81825 

10 
11 
13 

10 
11 
13 

9.83473 
9.83486 
9.83500 

10 
11 
13 

9.84269 
9.84282 
9.84295 

9 
10 
12 

53 
52 
51 

32 

28 
24 

40 

10 

9.80957 

15 

9.81839 

14 

9.82691 

14 

9.83513 

13 

9.84308 

13 

50 

20 

44 
48 
52 

11 
12 
13 

9.80972 
9.80987 
9.81002 

2 
o 
5 

9.81854 
9.81868 
9.81882 

1 
3 

4 

9.82705 
9.82719 
9.82733 

1 
3 
4 

9.83527 
9.83540 
9.83554 

1 

3 
4 

9.84321 
9.84334 
9.84347 

1 
3 

4 

49 
48 
47 
46 
45 
44 

16 

12 
8 

56 

+1 
4 

15 
16 

9.81017 
9.81032 
9.81047 

6 
8 
9 

9.81897 
9.81911 
9.81926 

6 

7 
8 

9.82747 
9.82761 
9.82775 

6 

7 
8 

9.83567 
9.83581 
9.83594 

5 

7 
8 

9.84360 
9.84373 
9.84385 

5 

7 
8 

4 
+3 
56 

8 
12 
16 

17 

18 
19 

9.81061 
9.81076 
9.81091 

11 
12 
14 

9.81940 
9.81955 
9.81969 

10 
11 

13 

9.82788 
9.82802 
9.82816 

10 
11 
13 

9.83608 
9.83621 
9.83634 

9 
10 
12 

9.84398 
9.84411 
9.84424 

9 
10 
12 

43 
42 
41 

52 
48 
44 

20 

20 

9.81106 

15 

9.81983 

14 

9.82830 

14 

9.83648 

13 

9.84437 

13 

40 

40 

24 
28 
32 

21 
23 
23 

9.81121 
9.81136 
9.81151 

2 
3 
5 

9.81998 
9.82012 
9.82026 

1 
3 
4 

9.82844 
9.82858 
9.82872 

1 
3 

4 

9.83661 
9.83674 
9.83688 

1 
3 
4 
5 

7 
8 

9.84450 
9.84463 
9.84476 

1 
3 
4 

39 
38 
37 

36 
32 

28 

36 
40 
U 

U 
25 
26 

9.81166 
9.81180 
9.81195 

6 

8 
9 

9.82041 
9.82055 
9.82069 

6 

7 
8 

9.82885 
9.82899 
9.82913 

6 

7 
8 

9.83701 
9.83715 
9.83728 

9.84489 
9.84502 
9.84515 

5 

7 
8 

36 
35 
34 

24 
20 
16 

48 
52 
56 

27 
28 
29 

9.81210 
9.81225 
9.81240 

11 
12 
14 

9.82084 
9.82098 
9.82112 

10 
11 
13 

9.82927 
9.82941 
9.82955 

10 
11 
13 

9.83741 
9.83755 
9.83768 

9 
10 
12 

9.84528 
9.84540 
9.84553 

9 
10 

12 

33 
32 
31 

12 

8 
4 

+3 

30 

9.81254 

15 

9.82126 

14 

9.82968 

14 

9.83781 

13 

9.84566 

13 

30 

+2 

4 

8 

12 

31 
32 
33 

9.81269 
9.81284 
9.81299 

3 
5 

9.82141 
9.82155 
9.82169 

1 
3 

4 

9.82982 
9.82996 
9.83010 

1 
3 
4 

9.83795 
9.83808 
9.83821 

1 
3 
4 

9.84579 
9.84592 
9.84605 

1 
0 

4 

29 

28 

27 

56 

52 
48 

16 

20 

24 

34 
35 
36 

9.81314 
9.81328 
9.81343 

6 
8 
9 

9.82184 
9.82198 
9.82212 

6 

7 
8 

9.83023 
9.83037 
9.83051 

6 

7 
8 

9.83834 
9.83848 
9.83861 

5 

7 
8 

9.84618 
9.84630 
9.84643 

5 

7 
8 

26 
25 
24 

44 
40 
36 

28 
32 
36 

37 

38 
39 

9.81358 
9.81372 
9.81387 

11 

12 
14 

9.82226 
9.82240 
9.82255 

10 
11 
13 

9.83065 
9.83078 
9.83092 

10 
11 
13 

9.83874 
9.83887 
9.83901 

9 

10 
12 

9.84656 
9.84669 
9.84682 

9 
10 
12 

23 
23 
31 

32 
28 
24 

40 

40 

9.81402 

15 

9.82269 

14 

9.83106 

14 

9.83914 

13 

9.84694 

13 

20 

20 

44 
48 
52 

41 
42 
43 

9.81417 
9.81431 
9.81446 

2 
3 
5 

9.82283 
9.82297 
9.82311 

1 
3 

4 

9.83120 
9.83133 
9.83147 

1 
0 

4 

9.83927 
9.83940 
9.83954 

1 
3 

4 

9.84707 
9.84720 
9.84733 

1 
3 
4 

19 
18 
17 

16 

12 

8 

56 

4-3 
4 

44 
45 

46 

9.81461 
9.81475 
9.81490 

6 
8 
9 

9.82326 
9.82340 
9.82354 

6 

7 
8 

9.83161 
9.83174 
9.83188 

6 

n 
i 

8 

9.83967 
9.83980 
9.83993 

5 

7 
8 

9.84745 
9.84758 
9.84771 

5 

7 
8 

16 
15 
14 

4 
+1 
56 

8 

12 
16 

47 

48 
49 

9.81505 
9.81519 
9.81534 

11 
12 

14 

9.82368 
9.82382 
9.82396 
9.82410 

10 
11 
13 

9.83202 
9.83215 
9.83229 

10 
11 
13 
14 

9.84006 
9.84020 
9.84033 

9 

10 
12 

9.84784 
9.84796 
9.84809 

9 
10 
12 

13 
12 
11 

52 

48 
U 

20 

50 

9.81549 

14 

14 

9.83242 

9.84046 

13 

1 
3 

4 

9.84822 

13 

10 

40 

24 
28 

32 

51 
52 
53 

9.81563 
9.81578 
9.81592 

1 
3 

4 

9.82424 
9.82439 
9.82453 

1 
3 
4 

9.83256 
9.83270 
9.83283 

1 
3 

4 

9.84059 
9.84072 
9.84085 

9.84835 
9.84847 
9.84860 

1 
3 

4 

9 

8 

7 

36 
32 
28 

36 
40 
44 

54 
55 
56 

9.81007 
9.81622 
9.81636 

6 

7 
8 

9.82467 
9.82481 
9.82495 

6 

7 
8 

9.83297 
9.83310 
9.83324 

6 

7 
8 

9.84098 
9.84112 
9.84125 

5 

7 
8 

9.84873 
9.84885 
9.84898 

5 

7 
8 

6 
5 
4 

24 
20 
16 

48 
52 
56 

57 

58 
59 

9.81651 
9.81665 
9.81680 

10 
11 
13 

9.82509 
9.82523 
9.82537 

10 
11 
13 

9.83338 
9.83351 
9.83365 

10 
11 
13 

9.84138 
9.84151 
9.84164 

9 

10 
12 

9.84911 
9.84923 
9.84936 

9 
10 
12 

3 
2 

1 

12 
8 
4 

+4   1  60 

9.81694 

9.82551 

9.83378 

9.84177 

9.84949 

0 

0 

Cos. 

Cos. 

Cos. 

Cos. 

Cos. 

49°   3h  -?6™ 

48°   .5^  lom 

47°   3h Sm 

46°   3h  4m 

45°    Jft  0^ 

Log.  Cosines. 

Page  40]                  TABLE  III. 

Log.  Sines. 

Time. 

Arc. 

3^  0">       45° 

3h  4m      46° 

Sh  8m      47° 

3Ji  12m     48° 

3h  16m       490 

Arc. 

Time. 

m.    s. 

' 

Sine.   P.P. 

Sine.    P.P. 

Sine.   P.P. 

Sine.    P.P. 

Sine.    P.P. 

' 

s.  m. 

0 

0 

9.84949 

13 

9.85693 

12 

9.86413 

12 

9.87107 

11 

9.87778 

11 

60 

+4 

4 

8 

12 

1 
2 
3 

9.84961 
9.84974 
9.84986 

1 
3 
4 

9.85706 
9.85718 
9.85730 

1 

2 
4 

9.86425 
9.86436 
9.86448 

1 

2 

4 

9.87119 
9.87130 
9.87141 

1 
2 
3 

9.87789 
9.87800 
9.87811 

1 
2 

3 

59 

58 
57 

56' 
52 
48 

16 

20 
24 

4 
5 
6 

9.84999 
9.85012 
9.85024 

5 

7 
8 

9.85742 
9.85754 
9.85766 

5 
6 

7 

9.86460 
9.86472 
9.86483 
9.86495 
9.86507 
9.86518 

5 

6 

7 

8" 
10 
11 

9.87153 
9.87164 
9.87175 

4 
6 
7 
8 
9 
10 

9.87822 
9.87833 
9.87844 

4 
6 

56 
55 
54 

44 
40 
36 
32 
28 
24 
20 

28 
32 
36 

7 
8 
9 

9.85037 
9.85049 
9.85062 

9 
10 
12 

9.85779 
9.85791 
9.85803 

8 
10 
11 
12 

9.87187 
9.87198 
9.87209 

9.87855 
9.87866 

9.87877 

8 

9 

10 

53 
52 
51 
50 

40 

10 

9.85074 

13 

9.85815 

9.86530 

12 

9.87221 

11 

9.87887 

11 

U 
4S 

52 

11 

n 

13 

9.85087 
9.85100 
9.85112 

1 
3 

4 

9.85827 
9.85839 
9.85851 

1 

2 

4 

9.86542 
9.86554 
9.86565 

1 

2 

4 

9.87232 
9.87243 
9.87255 

1 
2 

3 

9.87898 
9.87909 
9.87920 

1 
2 

3 

49 

48 
47 

16 

12 

8 

56 

+1 
4 

14 
15 
16 

9.85125 
9.85137 
9.85150 

5 

7 
8 

9.85864 
9.85876 

9.85888 

5 
6 

7 

9.86577 
9.86589 
9.86600 

5 
6 

7 

9.87266 
9.87277 
9.87288 

4 
6 

7 

9.87931 
9.87942 
9.87953 

4 
6 

7 

46 
45 
44 

4 
4-3 
56 

8 
12 
16 

17 

18 
19 

9.85162 
9.85175 
9.85187 

9 
10 
12 

9.85900 
9.85912 
9.85924 

8 
10 
11 

9.86612 
9.86624 
9.86635 
9.86647 

8 
10 
11 

9.87300 
9.87311 
9.87322 

8 

9 

10 

9.87964 
9.87975 
9.87985 

8 

9 

10 

43 
42 
41 

52 
48 
44 

20 

20 

9.85200 

13 

9.85936 

12 

12 

9.87334 

11 

9.87996 

11 

40 

40 

24 
28 
32 

21 
22 
23 

9.85212 
9.85225 
9.85237 

1 

2 

4 

9.85948 
9.85960 
9.85972 

1 
2 
4 

9.86659 
9.86670 
9.86682 

1 

2 
4 

9.87345 
9.87356 
9.87367 

1 
2 
3 

9.88007 
9.88018 
9.88029 

1 

2 

3 

39 
38 
37 

36 

32 
28 

36 
40 
44 

24 
25 
26 

9.85250 
9.85262 
9.85274 

5 
6 

7 

9.85984 
9.85996 
9.86008 

5 
6 

7 

9.86694 
9.86705 
9.86717 

5 
6 

7 

9.87378 
9.87390 
9.87401 

4 
6 

7 

9.88040 
9.88051 
9.88061 

4 
6 

7 

36 
35 
34 
33 
32 
31 

24 
20 
16 

^t8 
52 
56 

+3 

27 
28 
29 

9.85287 
9.85299 
9.85312 

8 
10 
11 

9.86020 
9.86032 
9.86044 

8 
10 
11 

9.86728 
9.86740 
9.86752 

8 
10 
11 

9.87412 
9.87423 
9.87434 

'  8 

9 

10 

9.88072 
9.88083 
9.88094 

8 

9 

10 

12 
8 
4 

30 

9.85324 

12 

9.86056 

12 

9.86763 

12 

9.87446 

11 

9.88105 

11 

30 

+2 

4 

8 

12 

31 
32 
33 

9.85337 
9.85349 
9.85361 

1 

2 
4 
5 
6 

7 

9.86068 
9.86080 
9.86092 
9.86104 
9.86116 
9.86128 

1 

2 
4 
5 
6 

7 

9.86775 
9.86786 
9.86798 

1 

2 
4 

9.87457 
9.87468 
9.87479 

1 

2 
3 

9.88115 
9.88126 
9.88137 

1 
2 
3 

29 
28 

27 

56 
52 
48 

16 
20 

24 

34 
35 
36 

9.85374 
9.85386 
9.85399 

9.86809 
9.86821 
9.86832 

5 
6 

7 

9.87490 
9.87501 
9.87513 

4 
6 

7 

9.88148 
9.88158 
9.88169 

4 
6 

7 

26 
25 
24 

44 
40 
36 

28 
32 
36 

37 

38 
39 

9.85411 
9.85423 
9.85436 

8 
10 
11 

9.86140 
9.86152 
9.86164 

8 
10 
11 

9.86844 
9.86855 
9.86867 

8 
10 
11 

9.87524 
9.87535 
9.87546 

8 
9 

10 
11 

9.88180 
9.88191 
9.88201 

8 

9 

10 

23 
22 
21 

32 
28 
24 

40 

40 

9.85448 

12 

9.86176 

12 

9.86879 

11 

9.87557 

9.88212 

11 

20 

20 

44 
48 

52 

41 
42 
43 

9.85460 
9.85473 
9.85485 

1 
2 

4 

9.86188 
9.86200 
9.86211 

1 
2 

4 

9.86890 
9.86902 
9.86913 

1 
2 
3 

9.87568 
9.87579 
9.87590 

1 
2 
3 

9.88223 
9.88234 
9.88244 

1 
2 
3 

19 

18 
17 

16 

12 

8 

56 

+3 
4 

44 
45 
46 

9.85497 
9.85510 
9.85522 

5 
6 

7 

9.86223 
9.86235 
9.86247 

5 
6 

7 

9.86924 
9.86936 
9.86947 

4 
6 

7 

9.87601 
9.87613 
9.87624 

4 
6 

7 

9.88255 
9.88266 
9.88276 

4 
6 

7 

16 
15 
14 

4 

+1 
56 

8 
12 
16 

47 

48 
49 

9.85534 
9.85547 
9.85559 

8 
10 
11 

9.86259 
9.86271 
9.86283 

8 
10 
11 

9.86959 
9.86970 
9.86982 

8 

9 

10 

9.87635 
9.87646 
9.87657 

8 

9 

10 

9.88287 
9.88298 
9.88308 

8 

9 

10 

13 
12 
11 

52 
48 
44 

20 

50 

9.85571 

12 

9.86295 

12 

9.86993 

11 

9.87668 

11 

9.88319 

11 

10 

40 

24 
28 
32 

51 
52 
53 

9.85583 
9.85596 
9.85608 

1 
2 

4 

9.86306 
9.86318 
9.80330 

1 
2 

4 

9.87005 
9.87016 
9.87028 

1 

2 
3 

9.87679 
9.87690 
9.87701 

1 

2 
3 

9.88330 
9.88340 
9.88351 

1 
2 
3 

9 

8 

7 

36 
32 
28 

36 
40 
U 

54 
55 
56 

9.85620 
9.85632 
9.85645 

5 
6 

7 

9.86342 
9.86354 
9.86366 
9.86377 
9.86389 
9.86401 

5 
6 

7 

9.87039 
9.87050 
"9.87062 

4 
6 

7 

9.87712 
9.87723 
9.87734 

4 
6 

7 

9.88362 
9.88372 
9.88383 
9.88394 
9.88404 
9.88415 

4 
6 

7 

6 
5 
4 

24 
20 

le 

48 
52 
56 

57 

58 
59 

9.85657 
9.85669 
9.85681 

8 
10 
11 

8 
10 
11 

9.87073 
9.87085 
9.87096 

8 

9 

10 

9.87745 
9.87750 
9.87767 

8 

9 

10 

8 

9 

10 

3 
2 
1 

12 
8 
4 

+4 

60 

9.85693 

9.86413 

9.87107 

9.87778 

9.88425 

0  1  0 

Cos. 

Cos. 

Cos. 

Cos. 

Cos. 

44°  2h  56m 

43°  2h  52m 

42°  2h  48m 

41°  2h44m 

40°  2h  40m 

Log.  Cosines. 

TABLE  III.                  [Page  41 

Log.  Sines. 

Time. 

Arc. 

3^1 20'm.    50° 

3fi'  24'm    51° 

3h  28^    52° 

3h  32m    53° 

,3h  3r,m     540 

Arc. 

Time. 

m.  s. 

' 

Sine.   P.P. 

Sine.   P.P. 

Sine.   P.P. 

Sine.   P.P. 

Sine.    P.P. 

' 

s.  m. 

0 

0 

9.88425 

11 

9.89050 

10 

9.89653 

10 

9.90235 

9 

9.90796 

9 

60 

+4 

A 

8 

12 

1 
2 
3 

9.88436 
9.884-47 
9.88457 

1 
2 

3 

9.89060 
9.89071 
9.89081 

1 
2 

3 

9.89663 
9.89673 
9.89683 

1 
2 

.3 

9.90244 
9.90254 
9.90263 

1 

2 

9.90805 
9.90814 
9.90823 

1 
2 

59 

58 
57 

56- 

52 
48 

16 

20 

24 

4 
5 

6 

9.88468 
9.88478 
9.88489 

4 
6 

7 

9.89091 
9.89101 
9.89112 

4 
5 
6 

9.89693 
9.89702 
9.89712 

4 
5 
6 

9.90273 
9.90282 
9.90292 

4 
5 
5 

9.90832 
9.90842 
9.90851 

4 
5 
5 

56 
55 
54 

44 
40 
36 

2S 
32 
36 

7 
8 
9 

9.88499 
9.88510 
9.88521 

8 

9 

10 

9.89122 
9.89132 
9.89142 

7 
8 
9 

9.89722, 
9.89732' 
9.89742 

7 
8 
9 

9.90301 
9.90311 
9.90320 

6 

7 
8 

9.90860 
9.90869 
9.90878 

6 

7 
8 

53 
52 
51 

32 
28 

24 

40 

10 

9.88531 

11 

9.89152 

10 

9.89752 

10  9.90330 

9 

9.90887    9  1 

50 

20 

44 
48 
52 

11 
12 
13 

9.88542 
9.88552 
9.88563 

1 

2 

3 

9.89162 
9.89173 
9.89183 

1 
2 

3 

9.89761 
9.89771 
9.89781 

1  9.90339 

2  9.90349 

3  9.90358 

1 
3 

9.90896 
9.90906 
9.90915 

1 

0 

49 

48 
47 

16 

12 
8      • 

56 

+1 
4 

14 
15 
16 

9.88573 
9.88584 
9.88594 

4 
6 

7 

9.89193 
9.89203 
9.89213 

4 
5 
6 

9.89791 
9.89801 
9.89810 

4 
5 
6 

9.90308 
9.90377 
9.90386 

4 
5 
5 

9.90924 
9.90933 
9.90942 

4 
5 
5 

46 
45 
44 

4 

+3 
56 

8 

12 
16 

17 
18 
19 

9.88605 
9.88615 
9.88626 

8 

9 

10 

9.89223 
9.89233 
9.89244 

7 
8 
9 

9.89820 
9.89830 
9.89840 

7 
8 
9 

9.90396 
9.90405 
9.90415 

6 

7 
8 

9.90951 
9.90960 
9.90969 

6 
7 
8 

43 

42 
41 

52 
48 
44 

20 

20 

9.83636 

10 

9.89254 

10 

9.89849 

10 

9.90424 

9 

9.90978 

9 

49 

40 

24 
28 

32 

21 
22 
23 

9.88647 
9.88657 
9.88668 

1 
2 
3 

9.89264 
9.89274 
9.89284 

1 

2 

3 

9.89859 
9.89869 
9.89879 

1 
2 

3 

9.90434 
9.90443 
9.90452 

1 

2 

3 

9.90987 
9.90996 
9.91005 

1 

39 
38 
37 

36 
32 
28 

36 
40 
44 

24 
25 
26 

9.88678 
9.88688 
9.88699 

4 
5 
6 

9.89294 
9.89304 
9.89314 
9.89324 
9.89334 
9.89344 

4 
5 
6 

9.89888 
9.89898 
9.89908 

4 
5 
6 

9.90462 
9.90471 
9.90480 

4 
5 
5 

9.91014 
9.91023 
9.91033 

4 
5 
5 

36 
35 
34 

24 
20 
16 

48 
52 
56 

27 

28 
29 

9.88709 
9.88720 
9.88730 

7 
8 
9 

7 
8 
9 

9.89918 
9.89927 
9.89937 

7 
8 
9 

9.90490 
9.90499 
9.90509 

6 

7 
8 

9.91042 
9.91051 
9.91060 

6 
1 
8 

33 
32 
31 

12 

8 

4 

+2 

30   9.88741 

10 

9.89354 

10 

9.89947 

10 

9.90518 

9 

9.91069 

9 

30 

+2 

4 

8 

12 

31 
32 
33 

9.88751 
9.88761 
9.88772 

1 

2 
3 

9.89364 
9.89375 
9.89385 

1 
2 

3 

9.89956 
9.89966 
9.89976 

1 

2 

3 

9.90527 
9.90537 
9.90546 

1 

2 
3 

9.91078 
9.91087 
9.91096 

1 
0 

29 

28 
27 

56 
52 
48 

16 
20 
24 

34 
35 

36 

9.88782 
9.88793 
9.88803 

4 
5 
6 

9.89395 
9.89405 
9.89415 

4 
5 
6 

9.89985 
9.89995 
9.90005 

4 
5 
6 

9.90555 
9.90565 
9.90574 

4 
5 
5 

9.91105 
9.91114 
9.91123 

4 
5 
5 

26 
25 
24 

4.i 
40 
36 

28 
32 
36 

37 

38 
39 

9.88813 
9.88824 
9.88834 

7 
8 
9 

9.89425 
9.89435 
9.89445 

7 
8 
9 

9.90014 
9.90024 
9.90034 

7 
8 
9 

9.90583 
9.90592 
9.90002 

6 

7 
8 

9.91132 
9.91141 
9.91149 

6 
8 

23 
22 
21 

32 
28 
24 

40 

40 

9.88844 

10 

9.89455 

10 

9.90043 

10 

9.90G11 

9 

9.91158 

9 

20 

20 

44 
48 

52 

41 
42 
43 

9.88855 
9.88865 
9.88875 

1 

2 

3 

9.89465 
9.89475 
9.89485 

1 

2 
3 

9.90053 
9.90063 
9.90072 

1 
2 

3 

9.90620 
9.90630 
9.90G39 

1 

2 

3 

9.91167 
9.91176 
9.91185 

1 

3 

19 

18 
17 

16 

12 

8 

56 

+3 
4 

44 
45 
46 

9.88886 
9.88896 
9.88906 

4 
5 
6 

9.89495 
9.89504 
9.89514 

4 
5 
6 

9.90082 
9.90091 
9.90101 

4 
5 
6 

9.90648 
9.90657 
9.906G7 

4 
5 
5 

9.91194 
9.91203 
9.91212 

4 
5 
5 

16 
15 
14 

4 
+1 
56 

8 
12 
16 

47 

48 
49 

9.88917 
9.88927 
9.88937 

7 
8 
9 

9.89524 
9.89534 
9.89544 

7 
8 
9 

9.90111 
9.90120 
9.90130 

7 
8 
9 

9.90676 
9.90G85 
9.90694 

6 

7 
8 

9.91221 
9.91230 
9.91239 

6 

7 
8 

13 
12 
11 

52 
48 
44 

20 

50 

9.88948 

10 

9.89554 

10 

9.90139 

10 

9.90704 

9 

9.91248 

9 

10 

40 

24 
28 
32 

51 
52 
63 

9.88958 
9.88968 
9.88978 

1 
2 
3 

9.89564 
9.89574 
9.89584 

1 
2 
3 

9.90149 
9.90159 
9.90168 

1 
2 

.3 

9.90713 
9.90722 
9.90731 

1 
2 
3 

9.91257 
9.91266 
9.91274 

1 
3 

9 

8 
7 

36 
32 
28 

36 
40 
44 

54 
55 
56 

9.88989 
9.88999 
9.89009 

4 
5 
6 

9.89594 
9.89604 
9.89014 

4 
5 
6 

9.90178 
9.90187 
9.90197 

4 
5 
6 

9.90741 
9.90750 
9.90759 

4 
5 
5 

9.91283 
9.91292 
9.91301 

4 
5 
5 

6 
5 
4 

24 
20 
16 

48 
52 
56 

57 

58 
59 

9.89010 
9.89030 
9.89040 

7 
8 
9 

9.89624 
9.89633 
9.89643 

7 
8 
9 

9.90206 
9.90216 
9.90225 

7 
8 
9 

9.90768 
9.90777 
9.90787 

6 

7 
8 

9.91310 
9.91319 
9.91328 

6 

7 
8 

3 
2 

1 

12 
8 
4 

+4 

60 

9.89050 

9.89653 

9.90235 

9.90796 

9.91336 

0  !  0 

Cos. 

Cos. 

Cos. 

Cos. 

Cos. 

39°  2^  36m 

38°  2h  32^ 

37°  i?'*  28m 

36°  2h  24m 

35°  2^  20m 

Lo<^.  Casinos. 

Page  42]                   TABLE  III. 

Log.  Sines. 

Time. 

Are. 

3^  40m      55° 

Sh  44m     56° 

3h4Sm     57° 

S^  52m     58° 

Sh  56m     59° 

Arc. 

Time. 

m.  s. 

' 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.    P.  P. 

/ 

s.   m. 

0 

0 

9.91336 

9 

9.91857 

8 

9.92359 

8 

9.92842 

8 

9.93307 

8 

60 

+4 

4 
8 

12 

1 
2 
3 

9.91345 
9.91354 
9.91363 

1 
2 

3 

9.91866 
9.91874 
9.91883 

1 
2 

2 
3 
4 
5 

9.92367 
9.92376 
9.92384 

1 

2 
2 

9.92850 
9.92858 
9.92866 

1 

2 

2 

9.93314 
9.93322 
9.93329 
9.93337 
9.93344 
9.93352 

1 

2 
2 
3 
4 
5 

59 
58 
57 
56 
55 
54 
53 
52 
51 

56 

52 
48 

16 
20 
24 

4 
5 
6 

9.91372 
9.91381 
9.91389 

4 
5 
5 

9.91891 
9.91900 
9.91908 

9.92392 
9.92400 
9.92408 

3 

4 
5 

9.92874 
9.92881 
9.92889 
9.92897 
9.92905 
9.92913 

3 
4 
5 

U 
40 
36 

28 
32 
36 

7 

8 
9 

9.91398 
9.91407 
9.91416 

6 

7 
8 

9.91917 
9.91925 
9.91934 

6 
6 

7 

9.92416 
9.92425 
9.92433 

6 
6 

7 

6 
6 

7 

9.93360 
9.93367 
9.93375 

6 
6 

7 

32 
28 

24 

40 

10 

9.91425 

9 

9.91942 

8 

9.92441 

8 

9.92921 

8 

9.93382 

8 

50 

20 

48 
52 
56 

+1 
4 

11 
12 
13 
14 
15 
16 

9.91433 
9.91442 
9.91451 

1 

2 
3 

9.91951 
9.91959 
9.91968 

1 

2 

2 

9.92449 
9.92457 
9.92465 

1 
2 
2 

9.92929 
9.92936 
9.92944 

1 

2 
2 

9.93390 
9.93397 
9.93405 

1 

2 
2 

49 
48 
47 

16 

12 
8 

9.91460 
9.91469 
9.91477 

4 
5 
5 

9.91976 
9.91985 
9.91993 

3 

4 
5 

9.92473 
9.92482 
9.92490 

3 
4 
5 
6 
6 
7 

9.92952 
9.92960 
9.92968 

3 
4 
5 

9.93412 
9.93420 
9.93427 

3 
4 
5 

46 
45 
44 

4 

+3 
56 

8 
12 
16 

17 

18 
19 

9.91486 
9.91495 
9.91504 

6 

7 
8 

9.92002 
9.92010 
9.92018 

6 
6 

7 

9.92498 
9.92506 
9.92514 

9.92976 
9.92983 
9.92991 

6 
6 

7 

9.93435 
9.93442 
9.93450 

6 
6 

7 

43 
42 
41 

52 
48 
44 

20 

24 
28 

32 

20 

9.91512 

9 

9.92027 

8 

9.92522 

8 

9.92999 

8 

9.93457 

7 

40 

40 

21 

22 
23 

9.91521 
9.91530 
9.91538 

1 
2 
3 
4 
5 
5 

9.92035 
9.92044 
9.92052 
9.92060 
9.92069 
9.92077 

1 
2 
2 

9.92530 
9.92538 
9.92546 

1 
2 

2 

9.93007 
9.93014 
9.93022 

1 

2 
2 

9.93465 
9.93472 
9.93480 

1 
1 
2 

39 
38 
37 

36 
32 
28 

36 
40 
44 

24 
25 

26 

9.91547 
9.91556 
9.91565 

3 

4 
5 

9.92555 
9.92563 
9.92571 

3 

4 
5 

9.93030 
9.93038 
9.93046 

3 
4 
5 

9.93487 
9.93495 
9.93502 

3 

4 
4 

36 
35 
34 

24 
20 
16 

48 

52 
56 

27 
28 
29 

9.91573 
9.91582 
9.91591 

6 

7 
8 

9.92086 
9.92094 
9.92102 

6 
6 

7 

9.92579 
9.92587 
9.92595 

6 
6 

7 

9.93053 
9.93061 
9.93069 

6 
6 

7 

9.93510 
9.93517 
9.93525 

5 
6 
6 

33 
32 
31 

12 
8 
4 

+2 

30 

9.91599 

9 

9.92111 

8 

9.92603 

8 

9.93077 

8 

9.93532 

7 

30 

+2 

4 
8 

12 

31 
32 
33 

9.91608 
9.91617 
9.91625 

1 
2 
3 

9.92119 
9.92127 
9.92136 
9.92144 
9.92152 
9.92161 

1 
2 

2 

9.92611 
9.92619 
9.92627 

1 

2 
2 

9.93084 
9.93092 
9.93100 

1 
2 

2 

9.93539 
9.93547 
9.93554 

1 
1 
2 

29 

28 
27 

56 

52 
48 

16 

20 
24 

34 
35 
36 

9.91634 
9.91643 
9.91651 

4 
5 
5 
6 

7 
8 

3 

4 
5 

9.92635 
9.92643 
9.92651 

3 

4 
5 

9.93108 
9.93115 
9.93123 

3 

4 
5 

9.93562 
9.93569 
9.93577 

3 

4 
4 

26 
25 
24 

U 
40 
36 

28 
32 
36 

37 

38 
39 

9.91660 
9.91669 
9.91677 

9.92169 
9.92177 
9.92186 

6 
6 

7 

9.92659 
9.92667 
9.92675 

6 
6 

7 

9.93131 
9.93138 
9.93146 

6 
6 

7 

9.93584 
9.93591 
9.93599 

5 
6 
6 

23 
22 
21 

32 
28 

24 

40 

40 

9.91686 

9 

9.92194 

8 

9.92683 

8 

9.93154 

8 

9.93606 

7 

20 

20 

44 
48 

52 

41 
42 
43 

9.91695 
9.91703 
9.91712 

1 

2 
3 

9.92202 
9.92211 
9.92219 

1 
2 

2 

9.92691 
9.92699 
9.92707 

1 
2 

2 

9.93161 
9.93169 
9.93177 

1 

2 
2 

9.93614 
9.93621 
9.93628 

1 
1 
2 

19 

18 
17 

16 

12 
8 

56 

+3 
4 

44 
45 
46 

9.91720 
9.91729 
9.91738 

4 
5 
5 

9.92227 
9.92235 
9.92244 

3 

4 
5 

9.92715 
9.92723 
9.92731 

3 
4 
5 

9.93184 
9.93192 
9.93200 

3 
4 
5 

9.93636 
9.93643 
9.93650 

3 

4 
4 

16 
15 
14 

4 

+1 
56 

8 

12 
16 

47 

48 
49 

9.91746 
9.91755 
9.91763 

6 

7 
8 

9.92252 
9.92260 
9.92269 

6 
6 

7 

9.92739 
9.92747 
9.92755 

6 
6 

7 

9.93207 
9.93215 
9.93223 

6 
6 

7 

9.93658 
9.93665 
9.93673 

5 
6 
6 

13 
12 
11 

52 
48 
U 

20 

50 

9.91772  1   9 

9.92277 

8 

9.92763 

8 

9.93230 

8 

9.93680 

7 

10 

40 

24 
28 
32 

51 
52 
53 

9.91781 
9.91789 
9.91798 

1 
2 

3 

9.92285 
9.92293 
9.92302 

1 

2 

2 

9.92771 
9.92779 
9.92787 

1 

2 

2 

9.93238 
9.93246 
9.93253 

1 
2 
2 

9.93687 
9.93695 
9.93702 

1 
1 
2 

9 

8 

7 

36 
32 
28 

36 
40 
44 

54 
55 

56 

9.91806 
9.91815 
9.91823 

4 
5 
5 

9.92310 
9.92318 
9.92326 

3 

4 
5 

9.92795 
9.92803 
9.92810 

3 

4 
5 

9.93261 
9.93269 
9.93276 

3 
4 
5 

9.93709 
9.93717 
9.93724 

3 

4 
4 

6 
5 
4 

24 
20 
16 

48 

52 
56 

57 

58 
59 

9.91832 
9.91840 
9.91849 

6 

7 
8 

9.92335 
9.92343 
9.92351 

6 
6 

7 

9.92818 
9.92826 
9.92834 

6 
6 

7 

9.93284 
9.93291 
9.93299 

6 
6 

7 

9.93731 
9.93738 
9.93746 

5 
6 

6 

3 
2 

1 

12 
8 
4 

+* 

60 

9.91857 

9.92359 

9.92842 

9.93307 

9.93753 

0 

0 

Cos. 

Cos. 

Cos. 

Cos. 

Cos. 

34°  2hl6m 

33°  2hl2m 

32°  2h  sm 

31°  2h4m 

30°  2h  Om 

Log.  Cosines. 

TABLE  III.                   [Page  43 

Log.  Siuea. 

Time. 

Arc.  4^0m       60°  | 

4h  4m      61° 

4h  sm      62° 

4h  12m     63° 

4h  16m      64° 

Arc. 

Time. 

m.   s. 

' 

Sine.   P.  P.  1 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

' 

s.   in. 

0 

0 

9.93753 

7 

9.94182 

7 

9.94593 

7 
1 

1 
2 

9.94988 
9.94995" 
9.95001 
9.95007 

6 

9.95366 

6 

60 

+4 

A 

8 

12 

1 
3 

9.93760 
9.93768 
9.93775 

1 
1 
2 

9.94189 
9.94196 
9.94203 

1 
1 
2 

9.94600 
9.94607 
9.94614 

1 
1 
2 

9.95372 
9.95378 
9.95384 

1 
1 

2 

59 
58 
57 

56 
52 
48 

16 

20 
24 

4 
5 
6 

9.93782 
9.93789 
9.93797 

3 

4 
4 

9.94210 
9.94217 
9.94224 

3 

4 
4 

9.94620 
9.94627 
9.94634 

3 

4 
4 

9.95014 
9.95020 
9.95027 

2 
3 
4 

9.95391 
9.95397 
9.95403 

2 
3 
4 

56 
55 
54 
53 
52 
51 

44 
40 
36 

28 
32 
36 

7 
8 
9 

9.93804 
9.93811 
9.93819 

5 
6 
6 

9.94231 
9.94238 
9.94245 

5 
6 
6 

9.94640 
9.94647 
9.94654 

5 

6 

6 

9.95033 
9.95039 
9.95046 

4 
5 

5 

9.95409 
9.95415 
9.95421 

4 
5 
5 

32 
28 
24 

40 

10 

9.93826 

7 

9.94252 

7 

9.94660 

7 

9.95052 

6 

9.95427 

6 

50 

20 

U 
48 

52 

11 
12 
13 

9.93833 
9.93840 
9.93847 

1 

1 
2 

9.94259 
9.94266 
9.94273 

1 
1 
2 

9.94667 
9.94674 
9.94680 

1 
1 

2 

9.95059 
9.95065 
9.95071 

1 

1 
2 

9.95434 
9.95440 
9.95446 

1 
1 
2 

49 

48 
47 

16 

12 
8 

56 

+1 
4 

14 
15 
16 

9.93855 
9.93862 
9.93869 

3 
4 

4 

9.94279 
9.94286 
9.94293 

3 

4 

4 

9.94687 
9.94694 
9.94700 

3 

4 
4 

9.95078 
9.95084 
9.95090 

2 
3 

4 

9.95452 
9.95458 
9.95464 

2 
3 
4 

46 
45 
44 

4 
+3 
56 

S 
12 
16 

18 
19 

9.93876 
9.93884 
9.93891 

5 
6 
6 

9.94300 
9.94307 
9.94314 

5 
6 
6 

9.94707 
9.94714 
9.94720 

5 
6 
6 

9.95097 
9.95103 
9.95110 

4 
5 
5 

9.95470 
9.95476 
9.95482 

4 
5 

5 

43 
43 
41 

52 
48 
U 

20 

30 

9.93898 

7 

9.94321 

7 

9.94727 

7 

9.95116 

6 

9.95488 

6 

40 

40 

24 
28 
32 

32 
23 

9.93905 
9.93912 
9.93920 

1 
1 

2 

9.94328 
9.94335 
9.94342 

1 
1 
2 

9.94734 
9.94740 
9.94747 

1 
1 

2 

9.95122 
9.95129 
9.95135 

1 

1 
2 

9.95494 
9.95500 
9.95507 

i 

1 
2 

39 
38 
37 

36 
32 
28 

36 
40 
U 

24 
25 
26 

9.93927 
9.93934 
9.93941 

3 

4 
4 

9.94349 
9.94355 
9.94362 

3 

4 
4 

9.94753 
9.94760 
9.94767 

3 

4 
4 

9.95141 
9.95148 
9.95154 

2 
3 

4 

9.95513 
9.95519 
9.95525 

2 
3 
4 

36 
35 
34 

24 
20 
16 

48 
52 
56 

27 

28 
29 

9.93948 
9.93955 
9.93963 

5 
6 
6 

9.94369 
9.94376 
9.94383 

5 
6 
6 

9.94773 
9.94780 
9.94786 

5 
6 
6 

9.95160 
9.95167 
9.95173 

4 
5 

5 

9.95531 
9.95537 
9.95543 

4 
5 
5 

33 
32 
31 

12 
8 
4 

+2 

30 

9.93970 

7 

9.94390 

7 

9.94793 

7 

9.95179 

6 

9.95549 

6 

30 

+3 

4 

8 

12 

31 

33 
33 

9.93977 
9.93984 
9.93991 

1 
1 

2 

9.94397 
9.94404 
9.94410 

1 
1 

2 

9.94799 
9.94806 
9.94813 

1 

1 

2 

9.95185 
9.95192 
9.95198 

1 
1 

2 

9.95555 
9.95501 
9.95567 

1 
1 

2 

29 

28 
27 

56 

52 
48 

16 

20 
24 

34 
35 
36 

9.93998 
9.94005 
9.94012 

3 
4 
4 

9.94417 
9.94424 
9.94431 

3 

4 
4 

9.94819 
9.94826 
9.94832 

3 

4 
4 

9.95204 
9.95211 
9.95217 

2 
3 

4 

9.95573 
9.95579 
9.95585 

2 
3 

4 

36 
35 
24 

U 
40 
36 

28 
32 
36 

37 

38 
39 

9.94020 
9.94027 
9.94034 

5 

6 
6 

9.94438 
9.94445 
9.94451 

5 
6 
6 

9.94839 
9.94845 
9.94852 

5 

0 
6 

9.95223 
9.95229 
9.95236 

4 
5 
5 

9.95591 
9.95597 
9.95603 

4 
5 
5 

23 
23 
31 

32 
28 
24 

40 

40 

9.94041 

7 

9.94458 

7 

9.94858 

7 

9.95242 

6 

9.95609 

6 

30 

20 

44 
48 

52 

41 
43 
43 

9.94048 
9.94055 
9.94062 

1 
1 
2 

9.94465 
9.94472 
9.94479 

1 
1 

2 

9.94865 
9.94871 
9.94878 

1 
1 

2 

9.95248 
9.95254 
9.95261 

1 
»1 

2 

9.95615 
9.95621 
9.95627 

1 
1 
2 

19 
18 
17 

16 
12 

8 

56 

+3 
4 

44 
45 
46 

9.94069 
9.94076 
9.94083 

3 

4 
4 

9.94485 
9.94492 
9.94499 

3 

4 
4 

9.94885 
9.94891 
9.94898 

3 

4 
4 

9.95267 
9.95273 
9.95279 

2 

3 
4 

9.95633 
9.95639 
9.95645 

2 
3 
4 

16 
15 
14 

4 
+1 
56 

8 
12 
16 

47 

48 
49 

9.94090 
9.94098 
9.94105 

5 
6 
6 

9.94506 
9.94513 
9.94519 

5 
6 
6 

9.94904 
9.94911 
9.94917 

5 
6 
6 

9.95286 
9.95292 
9.95298 

4 
5 
5 

9.95651 
9.95657 
9.95663 

4 
5 
5 

13 
13 
11 

52 
48 
44 

20 

50 

9.94112 

7 

9.94526' 

7 

9.94923 

7 

9.95304 

6 

9.95668 

6 

10 

40 

24 
28 
32 

51 
53 
53 

9.94119 
9.94126 
9.94133 

1 
1 
2 

9.94533 
9.94540 
9.94546 

1 
1 
2 

9.94930 
9.94936 
9.94943 

1 
1 
2 

9.95310 
9.95317 
9.95323 

1 
1 

2 

9.95074 
9.95680 
9.95686 

1 
1 
2 

9 
8 
7 

36 

32 
28 

36 
40 
44 

54 
55 
56 

9.94140 
9.94147 
9.94154 

3 

4 
4 

9.94553 
9.945C0 
9.94567 

3 

4 
4 

9.94949 
9.94956 
9.94962 

3 
4 
4 

9.95329 
9.95335 
9.95341 

2 
3 

4 

9.95692 
9.95698 
9.95704 

2 
3 
4 

6 
5 
4 

24 
20 
16 

48 
52 
56 

57 

58 
59 

9.94161 
9.94168 
9.94175 

5 

6 
6 

9.94573 
9.94580 
9.94587 

5 

6 
6 

9.94969 
9.94975 
9.94982 

5 
6 
6 

9.95348 
9.95554 
9.95360 

4 
5 
5 

9.95710 
9.95716 
9.95722 

4 
5 
5 

3 
1 

12 
8 
4 

+* 

60 

9.94182 

9.94593 

9.94988 

9.95366 

9.95728  1 

0 

0 

Cos. 

Cos. 

Cos. 

Cos. 

Cos. 

39°    iJi  56^ 

28°  lh52m 

27°  Ih  48m 

26°  IhU^ 

25°  Ih  40m 

Log.  Cosinea. 

Page  44]                   TABT.E  III. 

Log.  Sines. 

Time. 

Arc. 

4^  20m     65° 

4^  24"^    66° 

4h  28m     67° 

4^1  32m    68° 

4^  36m     69° 

Arc. 

Time. 

m.  s. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

' 

s.  m. 

0 

0 

9.95728 

6 

9.96073 

6 

9.96403 

5 

9.96717 

5 

9.97015 

5 

60 

+4 

4 

8 

12 

1 
2 
3 

9.95783 
9.95739 
9.95745 

1 

1 
2 

9.96079 
9.96084 
9.96090 

1 
1 
2 

9.96408 
9.96413 
9.96419 

1 
1 

2 

9.96722 
9.96727 
9.9G732 

1 

1 
2 

9.97020 
9.97025 
9.97030 

1 
1 
2 

59 
58 
57 

56 

52 
48 

16 
20 

24 

4 
5 
6 

9.95751 
9.95757 
9.95763 

2 
3 

4 

9.96095 
9.96101 
9.96107 

2 
3 

4 

9.96424 
9.96429 
9.96435 

2 
3 
3 

9.96737 
9.96742 
9.96747 

2 
3 
3 

9.97035 
9.97039 
9.97044 

2 
3 
3 

56 
55 
54 

44 
40 
36 

28 
32 
36 

7 

8 
9 

9.95769 
9.95775 
9.95780 

4 

5 
5 

9.96112 
9.96118 
9.96123 

4 
5 
5 

9.96440 
9.96445 
9.96451 

4 
4 
5 

9.96752 
9.96757 
9.96762 

4 
4 
5 

9.97049 
9.97054 
9.97059 

4 
4 
5 

53 
52 
51 

32 
28 
24 

40 

10 

9.95786 

6 

9.96129 

6 

9.96456 

5 

9.96767 

5 

9.97063 

5 

50 

20 

44 
48 
52 

11 
12 
13 

9.95792 
9.95798 
9.95804 

1 
1 
2 

9.96135 
9.96140 
9.96146 

1 

1 
2 

9.96461 
9.96467 
9.96472 

1 
1 
2 

9.96772 
9.96778 
9.96783 

1 
1 
2 

9.97068 
9.97073 
9.97078 

1 

1 
2 

49 

48 
47 

16 

12 

8 

56 

+1 
4 

14 
15 
16 

9.95810 
9.95815 
9.95821 

2 
3 
4 

9.96151 
9.96157 
9.96162 

2 
3 
4 

9.96477 
9.96483 
9.96488 

2 
3 
3 

9.96788 
9.96793 
9.96798 

2 
3 
3 

9.97083 
9.97087 
9.97092 

3 
3 

46 
45 
44 

4 
+3 
56 

8 

12 
16 

17 
18 
19 

9.95827 
9.95833 
9.95839 

4 
5 
5 

9.96168 
9.96174 
9.96179 

4 
5 
5 

9.96493 
9.96498 
9.96504 

4 
4 
5 

9.96803 
9.96808 
9.96813 

4 
4 
5 

9.97097 
9.97102 
9.97107 

4 
4 
5 

43 
42 
41 

52 
48 
44 

20 

20 

9.95844 

6 

9.96185 

5 

9.96509 

5 

9.96818 

5 

9.97111 

5 

40 

40 

24 
28 
32 

21 
22 
23 

9.95850 
9.95856 
9.95862 

1 
1 
2 

9.96190 
9.96196 
9.96201 

1 
1 
2 

9.96514 
9.96520 
9.96525 

1 
1 

2 

9.96823 
9.96828 
9.96833 

1 
1 
2 

9.97116 
9.97121 
9.97126 

1 
1 

2 

39 
38 
37 

36 

32 
28 

36 
40 
44 

24 
25 
26 

9.95868 
9.95873 
9.95879 

2 
3 
4 

9.96207 
9.96212 
9.96218 

2 
3 
3 

9.96530 
9.96535 
9.96541 

2 
3 
3 

9.96838 
9.96843 
9.96848 

2 
3 
3 

9.97130 
9.97135 
9.97140 

2 
3 
3 

36 
35 
34 

24 
20 
16 

48 
52 
56 

27 

28 
29 

9.95885 
9.95891 
9.95897 

4 
5 
5 

9.96223 
9.96229 
9.96234 

4 

4 
5 

9.96546 
9.96551 
9.96556 

4 
4 
5 

9.96853 
9.96858 
9.96863 

4 
4 
5 

9.97145 
9.97149 
9.97154 

4 
4 
5 

33 
32 
31 

12 
8 
4 

+2 
4 
8 
12 

30 

9.95902 

6 

9.96240 

5 

9.96562 

5 

9.96868 

5 

9.97159 

5 

30 

+2 

31 
32 
33 

9.95908 
9.95914 
9.95920 

1 
1 
2 

9.96245 
9.96251 
9.96256 

1 
1 
2 

9.96567 
9.96572 
9.96577 

1 
1 
2 

9.96873 
9.96878 
9.96883 

1 
1 

2 

9.97163 
9.97168 
9.97173 

1 

1 
2 

29 

28 

27 

56 

52 
48 

16 
20 
24 

34 
35 
36 

9.95925 
9.95931 
9.95937 

2 
3 

4 

9.96262 
9.96267 
9.96273 

2 
3 
3 

9.96582 
9.96588 
9.96593 

2 
3 
3 

9.96888 
9.96893 
9.96898 

2 
3 
3 

9.97178 
9.97182 
9.97187 

2 
3 
3 

26 
25 
24 

44 
40 
36 

28 
32 
36 

37 
38 
39 

9.95942 
9.95948 
9.95954 

4 
5 
5 

9.96278 
9.96284 
9.96289 

4 
4 
5 

9.96598 
9.96603 
9.96608 

4 
4 
5 

9.96903 
9.96907 
9.96912 

4 
4 
5 

9.97192 
9.97196 
9.97201 

4 
4 
5 

23 
22 
21 

32 
28 
24 

40 

40 

9.959G0 

6 

9.96294 

5 

9.96614 

5 

9.96917 

5 

9.97206 

5 

20 

20 

44 
48 
52 

41 
42 
43 

9.95965 
9.95971 
9.95977 

1 
1 
2 

9.96300 
9.96305 
9.96311 

1 
1 
2 

9.96619 
9.96624 
9.96629 

1 
1 
2 

9.96922 
9.96927 
9.96932 

1 
1 
2 

9.97210 
9.97215 
9.97220 

1 
1 
2 

19 

18 
17 

16 

12 

8 

56 

+3 
4 

44 
45 
46 

9.95982 
9.95988 
9.95994 

2 
3 
4 

9.96316 
9.96322 
9.96327 

2 
3 
3 

9.96634 
9.96640 
9.96645 

2 
3 
3 

9.96937 
9.96942 
9.96947 

2 
3 
3 

9.97224 
9.97229 
9.97234 

2 
3 
3 

16 
15 
14 

4 
+1 
56 

8 
12 
16 

47 

48 
49 

9.96000 
9.96005 
9.96011 

4 
5 

5 

9.96333 
9.96338 
9.96343 

4 
4 
5 

9.96650 
9.96655 
9.96660 

4 

4 
5 

9.96952 
9.96957 
9.96962 

4 
4 
5 

9.97238 
9.97243 
9.97248 

4 
4 
5 

13 
12 
11 

52 
48 
44 

20 

24 
28 
32 

50 

9.96017 

6 

9.96349 

5 

9.96665 
9.96670 
9.96676 
9.96681 

5 

9.96966 

5 

9.97252 

5 

10 

40 

51 
52 
53 

9.96022 
9.96028 
9.96034 

1 
1 

2 

9.96354 
9.96360 
9.96365 

1 
1 
2 

1 

1 
2 

9.96971 
9.96976 
9.96981 

1 
1 

2 

9.97257 
9.97262 
9.97266 

1 
1 

2 

9 
8 
7 

36 
32 
28 

36 
40 

44 

54 
55 

56 

9.96039 
9.96045 
9.96050 

2 
3 
4 

9.96370 
9.96376 
9.96381 

2 
3 
3 

9.96686 
9.96691 
9.96696 

2 
3 
3 

9.96986 
9.96991 
9.96996 

2 
3 
3 

9.97271 
9.97276 
9.97280 

2 
3 
3 

6 
5 
4 

24 
20 
16 

48 
52 
56 

57 

58 
59 

9.96056 
9.96062 
9.96067 

4 
5 

5 

9.96387 
9.96392 
9.96397 

4 
4 
5 

9.96701 
9.96706 
9.96711 

4 

4 
5 

9.97001 
9.97005 
9.97010 

4 
4 
5 

9.97285 
9.97289 
9.97294 

4 
4 
5 

3 

2 

1 

12 
8 
4 

+* 

60 

9.96073 

9.96403 

9.96717 

9.97015 

9.97299 

0 

0 

Cos. 

Cos. 

Cos. 

Cos. 

Cos. 

24°  Ih  36^ 

23°  Ih  32m 

22°  ih  28m 

21°,  J  A  24"^ 

20°  1^  20m 

1                               Log.  Cosines. 

TiySLE  III.                   [Page  45 
Log.  Sin 68. 

Time. 

Arc. 

4h  40m      70° 

4h  44m     71° 

4h  48m     72° 

4h  52m     73° 

4h  56m      74°  Arc. 

Time. 

m.  s. 

' 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.    P.  P.     ' 

8.  m. 

0 

0 

9.97299 

5 

9.97567 

4 

9.97821 

4 

9.98060 

4 

9.98284 

4 

60 

44 

4 

8 

12 

1 
2 
3 

9.97303 
9.97308 
9.97312 

1 

1 
2 

9.97571 
9.97576 
9.97580 

0 

1 
1 

9.97825 
9.97829 
9.97833 

0 
1 
1 

9.98063 
9.98067 
9.98071 

0 
1 
1 

9.98288 
9.98291 
9.98295 

0 
1 
1 

59 

58 
57 

56 

52 
48 

16 

20 
2A 

4 
5 
6 

9.97317 
9.97322 
9.97326 

2 
3 
3 

9.97584 
9.97589 
9.97593 

2 

2 
2 

9.97837 
9.97841 
9.97845 

2 
2 
2 

9.98075 
9.98079 
9.98083 

2 
2 
2 

9.98299 
9.98302 
9.98306 

2 
2 
2 

56 
55 
54 

44 
40 
36 

28 
32 
36 

7 
8 
9 

9.97331 
9.97335 
9.97340 

4 
4 
5 

9.97597 
9.97602 
9.97606 

0 
3 

4 

9.97849 
9.97853 
9.97857 

3 
3 

4 

9.98087 
9.98090 
9.98094 

3 
3 

4 

9.98309 
9.98313 
9.98317 

3 
3 

4 

53 
52 
51 

32 
28 

24 

40 

10 

9.97344 

5 

9.97610 

4 

9.97861 

4 

9.98098 

4 

9.98320 

4 

50 

20 

44 
48 
52 

11 
13 
13 

9.97349 
9.97353 
9.97358 

1 
1 

2 

9.97615 
9.97619 
9.97623 

0 
1 
1 

9.97866 
9.97870 
9.97874 

0 
1 
1 

9.98102 
9.98106 
9.98110 

0 
1 
1 

9.98324 
9.98327 
9.98331 

0 
1 
1 

49 

48 
47 

16 

12 
8 

56 

+1 
4 

14 
15 
16 

9.97363 
9.97367 
9.97372 

2 
3 
3 

9.97628 
9.97632 
9.97636 

2 
2 
2 

9.97878 
9.97882 
9.97886 

2 
2 

2 

9.98113 
9.98117 
9.98121 

2 

2 
2 

9.98334 
9.98338 
9.98342 

2 

2 
2 

46 
45 
44 

4 
+3 
56 

8 
12 
16 

17 
18 
19 

9.97376 
9.97381 
9.97385 

4 
4 
5 

9.97640 
9.97645 
9.97649 

3 
3 
4 

9.97890 
9.97894 
9.97898 

3 
3 

4 

9.98125 
9.98129 
9.98132 

3 
3 

4 

9.98345 
9.98349 
9.98352 

3 
3 

4 

43 
42 
41 

52 
48 
44 

20 

20 

9.97390 

4 

9.97653 

4 

9.97902 

4 

9.98136 

4 

9.98356 

4 

40 

40 

24 
28 
32 

21 
22 
23 

9.97394 
9.97399 
9.97403 

0 
1 
1 

9.97657 
9.97662 
9.97666 

0 

1 
1 

9.97906 
9.97910 
9.97914 

0 

1 
1 

9.98140 
9.98144 
9.98147 

0 
1 

1 

9.98359 
9.98363 
9.98366 

0 

1 
1 
2 
2 
2 

39 
38 
37 
36 
35 
34 

36 

32 
28 

36 
40 

U 

24 
25 

26 

9.97408 
9.97412 
9.97417 

2 

2 

2 

9.97670 
9.97674 
9.97679 

2 
2 
2 

9.97918 
9.97922 
9.97926 

2 
2 
2 

9.98151 
9.98155 
9.98159 

2 
2 
2 

9.98370 
9.98373 
9.98377 

24 
20 
16 

48 
52 
56 

27 

28 
29 

9.97421 
9.97426 
9.97430 

3 
3 

4 

9.97683 
9.97687 
9.97691 

3 
3 

4 

9.97930 
9.97934 
9.97938 

3 
3 

4 

9.98162 
9.98166 
9.98170 

3 
3 

4 

9.98381 
9.98384 
9.98388 

3 
3 

4 

33 
32 
31 

12 
8 

4 

+3 

30 

9.97435 

4 

9.97696 

4 

9.97942 

4 

9.98174 

4 

9.98391 

3 

30 

+2 

4 

8 

12 

31 
32 
33 

9.97439 
9.97444 
9.97448 

0 
1 
1 

9.97700 
9.97704 
9.97708 

0 
1 
1 

9.97946 
9.97950 
9.97954 

0 

1 
1 

9.98177 
9.98181 
9.98185 

0 
1 
1 

9.98395 
9.98398 
9.98402 

0 

1 
1 

29 
28 
27 

56 

52 
48 

16 
20 

24 

34 
35 
36 

9.97453 
9.97457 
9.97461 

2 

2 
2 

9.97713 
9.97717 
9.97721 

2 
2 
2 

9.97958 
9.97962 
9.97966 

2 
2 

2 

9.98189 
9.98192 
9.98196 

2 
2 
2 

9.98405 
9.98409 
9.98412 

1 
2 
2 

26 
25 
24 

U 
40 
36 

28 
32 
36 

37 
38 
39 

9.97466 
9.97470 
9.97475 

3 
3 

4 

9.97725 
9.97729 
9.97734 

3 
3 
4 

9.97970 
9.97974 
9.97978 

3 
3 

4 

9.98200 
9.98204 
9.98207 

3 
3 
4 

9.98415 
9.98419 
9.98422 

2 
2 
3 

23 
22 
21 

32 
28 
24 

40 

40 

9.97479 

4 

9.97738 

4 

9.97982 

4 

9.98211 

4 

9.98426 

3 

20 

20 

44 
48 
52 

41 
42 
43 

9.97484 
9.97488 
9.97492 

0 
1 

1 

9.97742 
9.97746 
9.97750 

0 
1 
1 

9.97986 
9.97989 
9.97993 

0 

1 
1 

9.98215 
9.98218 
9.98222 

0 
1 
1 

9.98429 
9.98433 
9.98436 

0 
1 
1 

19 

18 
17 

16 

12 

8 

56 
+3 
4 

44 
45 
46 

9.97497 
9.97501 
9.97506 

2 
2 
2 

9.97754 
9.97759 
9.97763 

2 
2 

2 

9.97997 
9.98001 
9.98005 

2 
2 
2 

9.98226 
9.98229 
9.98233 

2 
2 
2 

9.98440 
9.98443 
9.98447 

1 
2 
2 

16 
15 
14 

4 
56 

8 
12 
16 

47 

48 
49 

9.97510 
9.97515 
9.97519 

3 
3 
4 

9.97767 
9.97771 
9.97775 

3 
3 

4 

9.98009 
9.98013 
9.98017 

3 
3 

4 

9.98237 
9.98240 
9.98244 

3 
3 

4 

9.98450 
9.98453 
9.98457 

2 
2 

3 

13 
12 
11 

52 
48 
U 

20 

50 

9.97523 

4 

9.97779 

4 

9.98021 

4 

9.98248 

4 

9.98460 

3 

10 

40 

24 
28 
32 

51 
52 
53 

9.97528 
9.97532 
9.97536 

0 
1 
1 

9.97784 
9.97788 
9.97792 

0 
1 
1 

9.98025 
9.98029 
9.98032 

0 

1 
1 

9.98251 
9.98255 
9.98259 

0 

1 
1 

9.98464 
9.98467 
9.98471 

0 
1 

1 

9 
8 
7 

36 
32 
28 

36 
40 

44 

54 
55 

56 

9.97541 
9.97545 
9.97550 

2 
2 
2 

9.97796 
9.97800 
9.97804 

2 

2 
2 

9.98036 
9.98040 
9.98044 

0 

2 
2 

9.98262 
9.98266 
9.98270 

2 
2 
2 

3 
3 

4 

9.98474 
9.98477 
9.98481 

1 

2 
2 

6 
5 
4 

24 
20 
16 

48 
52 
56 

57 

58 
59 

9.97554 
9.97558 
9.97563 

3 
3 

4 

9.97808 
9.97812 
9.97817 

3 
3 

4 

9.98048 
9.98052 
9.98056 

3 
3 

4 

9.98273 
9.98277 
9.98281 

9.98484 
9.98488 
9.98491 

2 
2 

3 

3 
2 
1 

12 
8 
4 

+4 

60 

9.97567 

9.97821 

9.98060 

9.98284 

9.98494 

0 

0 

Cos. 

Cos. 

Cos. 

Cos. 

Cos. 

1 

19"       Ih  16m 

18°  7  A  12m 

17°   Ih  Sm 

16°  Ih  4"^ 

15°   ih  om 

Log.  CoaLaes. 

Page  46]                  TABLE  III. 

Log.  Sines. 

Time. 

Arc. 

5h  Om         75° 

oh  4m      76° 

5h  sm      77° 

5h  12m    78° 

5h  um      79° 

Arc. 

Time. 

m.  s. 

/ 

Sine.    P.  P. 

Sine.   P.  P. 

Sine.   P.P. 

Sine.   P.  P. 

Sine.    P.  P. 

t 

s.   m. 

0 

0 

9.98494 

3 

9.98690 

3 

9.98872 

3 

9.99040 

3 

9.99195 
9.99197 
9.99200 
9.99202 

2 

60 

+4 

4 
8 
12 
16 
20 
24 

1 
2 
3 

9.98498 
9.98501 
9.98505 

0 
1 
1 

9.98694 
9.98697 
9.98700 

0 
1 
1 

9.98875 
9.98878 
9.98881 

0 
] 
1 

9.99043 
9.99046 
9.99048 

0 
1 
1 

0 
0 

59 
58 
57 

56 

52 
48 

4 
5 
6 

9.98508 
9.98511 
9.98515 

1 
2 
2 

9.98703 
9.98706 
9.98709 

1 
2 

2 

9.98884 
9.98887 
9.98890 

1 
2 
2 

9.99051 
9.99054 
9.99056 

1 
2 
2 

9.99204 
9.99207 
9.99209 

T 

56 
55 
54 

44 
40 
36 
32 
28 
U 

28 
32 
36 

7 
8 
9 

9.98518 
9.98521 
9.98525 

2 
2 
3 

9.98712 
9.98715 
9.98719 

2 
2 
3 

9.98893 
9.98896 
9.98898 

2 
2 
3 

9.99059 
9.99062 
9.99064 

2 
2 
3 

9.99212 
9.99214 
9.99217 

2 

2 

53 
52 
51 

AO 

10 

9.98528 

3 

9.98722 

3 

9.98901 

3 

9.99067 

3 

9.99219 

2 

50 

20 

U 
48 
52 

11 
13 
13 

9.98531 
9.98535 
9.98538 

0 

1 
1 

9.98725 
9.98728 
9.98731 

0 

1 

1 

9.98904 
9.98907 
9.98910 

0 
1 
1 

9.99070 
9.99072 
9.99075 

0 
1 
1 

9.99221 
9.99224 
9.99226 

0 
0 
1 

49 

48 
47 

16 

12 
8 

56 
+1 
4 

14 
15 
16 

9.98541 
9.98545 
9.98548 

1 

•7 

2 

9.98734 
9.98737 
9.98740 

1 

2 
2 

9.98913 
9.98916 
9.98919 

1 

2 

2 

9.99078 
9.99080 
9.99083 

1 
2 
2 

9.99229 
9.99231 
9.99233 

1 

1 
1 

46 
45 
44 

4 

+3 
56 

8 
12 
16 

17 

18 
19 

9.98551 
9.98555 
9.98558 

2 

2 
3 

9.98743 
9.98746 
9.98750 

2 
2 
3 

9.98921 
9.98924 
9.98927 

2 
0 

3 

9.99086 
9.99088 
9.99091 

2 
2 
3 

9.99236 
9.99238 
9.99241 

1 
2 
2 

43 
42 
41 

52 
48 
44 

20 

30 

9.98561 

3 

9.98753 

3 

9.98930 

3 

9.99093 

3 

9.99243 

3 

40 

40 

24 
28 
32 

21 
23 
33 

9.98565 
9.98568 
9.98571 

0 
1 
1 

9.98756 
9.98759 
9.98762 

0 
1 
1 

9.98933 
9.98936 
9.98938 

0 

1 

1 

9.99096 
9.99099 
9.99101 

0 

1 
1 

9.99245 
9.99248 
9.99250 

0 
0 
1 

39 
38 
37 

36 
32 
28 

36 
40 
44 

34 
35 
36 

9.98574 
9.98578 
9.98581 

1 

2 
2 

9.98765 
9.98768 
9.98771 

1 

2 
2 

9.98941 
9.98944 
9.98947 

1 

2 

2 

9.99104 
9.99106 
9.99109 

1 
2 

2 

9.99252 
9.99255 
9.99257 

1 

1 
1 

36 
35 
34 

24 
20 
16 

48 
52 
56 

37 
28 
29 

9.98584 
9.98588 
9.98591 

2 
2 

3 

9.98774 
9.98777 
9.98780 

2 
2 
3 

9.98950 
9.98953 
9.98955 

2 
2 
3 

9.99112 
9.99114 
9.99117 

2 
2 
3 

9.99260 
9.99262 
9.99264 

1 
2 
2 

33 
32 
31 

12 
8 
4 

+3 

30 

9.98594 

3 

9.98783 

3 

9.98958 

3 

9.99119 

3 

9.99267 

3 

30 

+2 

4 

8 

12 

31 
33 
33 

9.98597 
9.98601 
9.98604 

0 

1 
1 

9.98786 
9.98789 
9.98792 

i 

9.98961 
9.98964 
9.98967 

0 

1 
1 

9.99122 
9.99124 
9.99127 

0 

1 
1 

9.99269 
9.99271 
9.99274 

0 
0 

29 

38 
37 

56 

52 
48 

16 
20 
24 

34 
35 
36 

9.98607 
9.98610 
9.98614 

1 
2 
2 

9.98795 
9.98798 
9.98801 

1 
0 

2 

9.98969 
9.98972 
9.98975 

1 
2 

2 

9.99130 
9.99132 
9.99135 

1 
2 

2 

9.99276 
9.99278 
9.99281 

36 
35 
34 

44 
40 
36 

28 
32 
36 

37 
38 
39 

9.98617 
9.98620 
9.98623 

2 
2 
3 

9.98804 
9.98807 
9.98810 

2 
2 
3 

9.98978 
9.98980 
9.98983 

2 
0 

3 

9.99137 
9.99140 
9.99142 

2 
2 

3 

9.99283 
9.99285 
9.99288 

2 
2 

33 
32 
21 

32 
28 
24 

40 

40 

9.98627 

3 

9.98813 

3 

9.989S6 

3 

9.99145 

3 

9.99290 

3 

20 

20 

44 
■'t8 
52 

41 
43 
43 

9.98630 
9.98633 
9.98636 

0 
1 
1 

9.98816 
9.98819 
9.98822 

0 
1 

1 

9.98989 
9.98991 
9.98994 

0 
1 

1 

9.99147 
9.99150 
9.99152 

0 
1 
1 

9.99292 
9.99294 
9.99297 

0 
0 

19 

18 
17 

16 

12 

8 

56 

+3 
4 

44 
45 

46 

9.98640 
9.98643 
9.98646 

1 

2 
2 

9.98825 
9.98828 
9.98831 

1 

2 

2 

9.98997 
9.99000 
9.99002 

1 

2 
2 

9.99155 
9.99157 
9.99160 

1 
2 
2 

9.99299 
9.99301 
9.99304 

16 
15 
14 

4 
+1 
56 
52 
48 
U 

8 
12 
16 

47 

48 
49 

9.98649 
9.98652 
9.98656 

2 

2 

3 

9.98834 
9.98837 
9.98840 

2 
2 
3 

9.99005 
9.99008 
9.99011 

2 
2 
3 

9.99162 
9.99165 
9.99167 

2 

2 

3 

9.99306 
9.99308 
9.99310 

2 
2 

13 
13 
11 

20 

50 

9.98659 

3 

9.98843 

3 

9.99013 

3 

9.99170 

2 

9.99313 

2 

10 

40 

24 
28 
32 

51 
52 
53 

9.98662 
9.98665 
9.98668 

0 

1 
1 

9.98846 
9.98849 
9.98852 

0 

1 
1 

9.99016 
9.99019 
9.99022 

0 

1 
1 

9.99172 
9.99175 
9.99177 

0 
0 

9.99315 
9.99317 
9.99319 

0 
0 

9 
8 
7 

36 

32 
28 

36 
40 
44 

54 
55 
56 

9.98671 
9.98675 
9.98678 

1 
2 

2 

9.98855 
9.98858 
9.98861 

1 
2 
2 

9.99024 
9.99027 
9.99030 

1 

2 
2 

9.99180 
9.99182 
9.99185 

9.99322 
9.99324 
9.99326 

6 
5 
4 

24 
20 
16 

48 
52 
56 

57 

58 
59 

9.98681 
9.98684 
9.98687 

2 
2 
3 

9.98864 
9.98867 
9.98869 

2 
2 
3 

9.99032 
9.99035 
9.99038 

2 
2 
3 

9.99187 
9.99190 
9.99192 

2 

2 

9.99328 
9.99331 
9.99333 

2 
2 

3 
2 

1 

12 
8 
4 

+4 

60 

9.98690 

9.98872 

9.99040 

9.99195 

9.99335 

0 

0 

Cos. 

Cos. 

Cos. 

Cos. 

Cos. 
10°   < 

14°    Oh  56m 

13°  Oh  52m 

12°  Oh  48m 

11°  Oh  4.'tm 

Jh40m 

Log.  Cosines. 

TABLE  III.                  [Page  47 

•^^  ^^  Cor      ■^°='  ^"^^• 

Time. 

Arc. 

5h  20m-       80° 

5h  24m     81° 

5h  28m     82° 

5h  32m     83° 

5h  .36m       84° 

Arc. 

Time. 

m.  s. 

' 

Sine.    P.P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.   P.  P. 

Sine.    P.  P. 

' 

s.   m. 

0 

0 

9.99335 

2 

9.99462 

2 

9.99575 

2 

9.99675 

2 

9.99761 

1 

60 

+4 

4 

8 

12 

1 
2 
3 

9.99337 
9.99340 
9.99342 

0 
0 

9.99464 
9.99466 
9.99468 

0 
0 

9.99577 
9.99579 
9.99581 

0 
0 

9.99G77 
9.99678 
9.99680 

0 
0 

9.99763 
9.99764 
9.99765 

0 
0 
0 

59 

58 
57 

56- 
52 
48 

16 
20 

24 

4 
5 
6 

9.99344 
9.99346 
9.99348 

9.99470 
9.99472 
9.99474 

9.99582 
9.99584 
9.99586 

9.99681 
9.99683 
9.99684 

9.99767 
9.99768 
9.99769 

0 

56 
55 
54 

44 
40 
36 

28 
32 
36 

7 

8 
9 

9.99351 
9.99353 
9.99355 

2 
o 

9.99476 
9.99478 
9.99480 

2 
2 

9.99588 
9.99589 
9.99591 

2 
2 

9.99686 
9.99687 
9.99689 

2 
2 

9.99771 
9.99772 
9.99773 

53 
52 
51 

32 
28 
24 

40 

10 

9.99357 

2 

9.99482 

2 

9.99593 

2 

9.99690 

1 

9.99775 

50 

20 

44 
48 
52 

11 
12 
13 

9.99359 
9.99362 
9.99364 

0 
0 

9.99484 
9.99486 
9.99488 

0 
0 

9.99595 
9.99596 
9.99598 

0 
0 

9.99692 
9.99693 
9.99695 

0 
0 
0 

9.99776 
9.99777 
9.99778 

0 
0 
0 

49 

48 
47 

16 

12 
8 

56 

+1 
4 

14 
15 
16 

9.99366 
9.99368 
9.99370 

9.99490 
9.99492 
9.99494 

9.99600 
9.99601 
9.99603 

9.99696 
9.99698 
9.99699 

0 

9.99780 
9.99781 
9.99782 

0 

46 
45 
44 

4 
+3 
56 

8 
12 
16 

17 

18 
19 

9.99372 
9.99375 
9.99377 

2 
2 

9.99495 
9.99497 
9.99499 

2 
2 

9.99605 
9.99607 
9.99608 

2 
2 

9.99701 
9.99702 
9.99704 

9.99783 
9.99785 
9.99786 

43 
42 
41 

52 

48 
U 

20 

20 

9.99379 

2 

9.99501 

2 

9.99610 

2 

9.99705 

9.99787 

1 

40 

40 

24 
28 
32 

21 
22 
23 

9.99381 
9.99383 
9.99385 

0 
0 

9.99503 
9.99505 
9.99507 

0 
0 

9.99612 
9.99613 
9.99615 

0 
0 
1 

9.99707 
9.99708 
9.99710 

0 
0 
0 

9.99788 
9.99790 
9.99791 

0 
0 
0 

39 
38 
37 

36 
32 
28 

36 
40 
44 

24 
25 

26 

9.99388 
9.99390 
9.99392 

9.99509 
9.99511 
9.99513 

9.99617 
9.99618 
9.99620 

1 
1 

1 

9.99711 
9.99713 
9.99714 

0 

9.99792 
9.99793 
9.99795 

0 

36 
35 
34 

24 
20 
16 

48 
52 
56 

27 

28 
29 

9.99394 
9.99396 
9.99398 

2 

2 

9.99515 
9.99517 
9.99518 

2 

2 

9.99622 
9.99624 
9.99625 

1 
2 
2 

9.99716 
9.99717 
9.99718 

9.99796 
9.99797 
9.99798 

33 
32 
31 

12 
8 
4 

+2 

30 

9.99400 

2 

9.99520 

2 

9.99627 

2 

9.99720 

9.99800 

30 

+2 

4 
8 

12 

31 
32 
33 

9.99402 
9.99404 
9.99407 

0 
0 

9.99522 
9.99524 
9.99526 

0 
0 

9.996:9 
9.99630 
9.99632 

0 
0 

9.99721 
9.99723 
9.99724 

0 
0 
0 

9.99801 
9.99802 
9.99803 

0 
0 
0 

29 

28 
27 

56 
52 
48 

16 
20 

24 

34 
35 

36 

9.99409 
9.99411 
9.99413 

9.99528 
9.99530 
9.99532 

1 
I" 

9.99633 
9.99635 
9.99637 

9.99726 
9.99727 
9.99728 

0 

9.99804 
9.99806 
9.99807 

0 

26 
25 
24 

44 
40 
36 

28 
32 
36 

37 
38 
39 

9.99415 
9.99417 
9.99419 

2 
2 

9.99533 
9.99535 
9.99537 

2 
2 

9.99638 
9.99640 
9.99642 

2 
2 

9.99730 
9.99731 
9.99733 

9.99808 
9.99809 
9.99810 

23 
22 
21 

32 
28 
24 

40 

40 

9.99421 

2 

9.99539 

2 

9.99643 

2 

9.99734 

9.99812 

20 

20 

44 
48 
52 

41 
42 
43 

9.99423 
9.99425 
9.99427 

0 
0 

1 

9.99541 
9.99543 
9.99545 

0 
0 

1 

9.99645 
9.99647 
9.99648 

0 
0 

9.99736 
9.99737 
9.99738 

0 
0 
0 

9.99813 
9.99814 
9.99815 

0 
0 
0 

19 
18 
17 

16 

12 
8 

56 

+3 
4 

44 

45 
46 

9.99429 
9.99432 
9.99434 

1 
1 
1 

9.99546 
9.99548 
9.99550 

1 
1 

1 

9.99650 
9.99651 
9.99653 

9.99740 
9.99741 
9.99742 

0 

9.99816 
9.99817 
9.99819 

0 

16 
15 
14 

4 

+1 
56 

8 
12 
16 

47 

48 
49 

9.99436 
9.99438 
9.99440 

1 
2 

2 

9.99552 
9.99554 
9.99556 

1 
2 
0 

9.99655 
9.99656 
9.99658 

2 
2 

9.99744 
9.99745 
9.99747 

9.99820 
9.99821 
9.99822 

13 
12 
11 

52 

48 
44 

20 

50 

9.99442 

2 

9.99557 

2 

9.99659 

2 

9.99748 

9.99823 

10 

40 

24 
28 
32 

51 
53 
53 

9.99444 
9.99446 
9.99448 

0 
0 

1 

9.99559 
9.99561 
9.99563 

0 
0 
1 

9.99661 
9.99663 
9.99664 

0 
0 

9.99749 
9.99751 
9.99752 

0 
0 
0 

9.99824 
9.99825 
9.99827 

0 
0 
0 

9 

8 

7 

36 
32 
28 

36 
40 
U 

54 
55 
56 

9.99450 
9.99452 
9.99454 

1 

1 
1 

9.99565 
9.99566 
9.99568 

1 
1 
1 

9.99666 
9.99667 
9.99689 

9.99753 
9.99755 
9.99756 

0 

9.99828 
9.99829 
9.99830 

0 

6 
5 
4 

24 
20 
16 

48 
52 
56 

57 

58 
59 

9.99456 
9.99458 
9.99460 

1 

2 
2 

9.99570 
9.99572 
9.99574 

1 
2 
2 

9.99670 
9.99672 
9.99674 

2 

2 

9.99757 
9.99759 
9.99760 

9.99831 
9.99832 
9.99833 

3 

2 

1 

12 
8 
4 

+4 

60 

9.99462 

1 

9.99575 

9.99675 

9.99761 

9.99834 

0 

0 

Cos. 

Cos. 

Cos. 

Cos. 

Cos. 

9°     0^  30m 

8°   Oft  32m 

7°    0^ 28^ 

6°   Oh  24"^ 

5°    Oh  20m 

Log.  Cosines. 

Page  48J                  TABLE  III. 

Log.  Sines. 

Time. 

Arc. 

oh  40m        85° 

5h  44m     86° 

5h4Sm     87° 

5h  52m      88° 

5h  56m        89° 

Arc.  Time. 

m.  s. 

' 

Sine.   P.  P. 

i^ine.   P.  P. 

Sine. 

Sine. 

Sine. 

'    s.  m. 

0 

0 

9.99834 

1 

9.99894 

1 

9.99940 

9.99974 

9.99993 

60 

+4 

4 

8 

12 

16 

20 
24 

1 
2 
3 

9.99836 
9.99837 
9.99838 

0 
0 
0 

9.99895 
9.99896 
9.99897 

0 
0 
0 

9.99941 
9.99942 
9.99942 

9.99974 
9.99974 
9.99975 

9.99994 
9.99994 
9.99994 
9.99994 
9.99994 
9.99995 

59 

58 
57 
56 
55 
54 

56 

52 
48 

44 
40 
36 
32 

28 
24 

4 
5 

6 

9.99839 
9.99840 
9.99841 
9.99842 
9.99843 
9.99844 

0 

9.99898 
9.99898 
9.99899 
9.99960 
9.99901 
9.99902 

0 

9.99943 
9.99944 
9.99944 

9.99975 
9.99976 
9.99976 
9.99977 
9.99977 
9.99977 



28 
32 
36 

7 

8 
9 

9.99945 
9.99946 
9.99940 

9.99995 
9.99995 
9.99995 

53 
52 
51 

40 

10 

9.99845 

9.99903 

9.99947 

9.99978 

9.99995 

50 

20 

44 
48 
52 

11 
12 
13 

9.99846 
9.99847 
9.99848 

0 
0 
0 

9.99904 
9.99904 
9.99905 

0 
0 
0 

9.99948 
9.99948 
9.99949 
9.99949 
9.99950 
9.99951 



9.99978 
9.99979 
9.99979 

9.99996 
9.99996 
9.9999G 
9.99996 
9.99996 
9.99996 

49 
48 
47 
46 
45 
44 

16 

12 

8 

56 

+1 
4 

14 
15 

16 

9.99850 
9.99851 
9.99852 

0 

9.99906 
9.99907 
9.99908 

0 

9.99979 
9.99980 
9.99980 

4 
+3 
56 

8 
12 
16 

1? 

18 
19 

9.99853 
9.99854 
9.99855 

9.99909 
9.99909 
9.99910 

9.99951 
9.99952 
9.99952 

9.99981 
9.99981 
9.99981 

9.99997 
9.99997 
9.99997 

43 
43 
41 

52 
48 
44 

20 

30   9.99856 

9.99911 

9.99953 

9.99982 

9.99997 

40 

40 

24 
28 
32 

21 
22 
33 

9.99857 
9.99858 
9.99859 

0 
0 
0 

9.99912 
9.99913 
9.99913 

0 
0 
0 

9.99954 
9.99954 
9.99955 

9.99982 
9.99982 
9.99983 

9.99997 
9.99997 
9.99997 
9.99998 
9.99998 
9.99998 



39 
38 
37 
36 
35 
34 

36 
32 

28 

36 
40 
44 

24 
25 

26 

9.99860 
9.99861 
9.99862 

0 

1 
1 

9.99914 
9.99915 
9.99916 

0 

9.99955 
9.99956 
9.99956 

9.99983 
9.99983 
9.99984 

24 

20     . 
16 

48 
52 
56 

27 

28 
29 

9.99863 
9.99864 
9.99865 

1 
1 

1 

9.99917 
9.99917 
9.99918 

9.99957 
9.99958 
9.99958 

9.99984 
9.99984 
9.99985 

9.99998 
9.99998 
9.99998 

33 
32 
31 

12 

8 
4 

+3 

30 

9.99866 

1 

9.99919 

9.99959 

9.99985 

9.99998 

30 

+2 

4 

8 

12 

31 
32 
33 

9.99867 
9.99868 
9.99869 

0 
0 
0 

9.99920 
9.99920 
9.99921 

0 
0 
0 

9.99959 
9.99960 
9.99960 

9.99985 
9.99986 
9.99986 

9.99998 
9.99999 
9.99999 

29 
28 
27 

56' 
52 

48 

16 

20 
24 

34 
35 
36 

9.99870 
9.99871 
9.99872 

0 

1 
1 

9.99922 
9.99923 
9.99923 

0 

9.99961 
9.99961 
9.99962 

9.99986 
9.99987 
9.99987 

9.99999 
9.99999 
9.99999 

26 
25 
24 

44 
40 
36 
32 

28 
24 

28 
32 
36 

37 
38 

39 

9.99873 
9.99874 
9.99875 

1 
1 

1 

9.99924 
9.99925 
9.99926 

9.99962 
9.99963 
9.99963 

9.99987 
9.99988 
9.99988 

9.99999 
9.99999 
9.99999 

23 
22 
31 

40 

40 

9.99876 

1 

9.99926 

9.99964 

9.99988 

9.99999 

30 

20 

i48 
52 

41 
42 
43 

9.99877 
9.99878 
9.99879 

0 
0 
0 

9.99927 
9.99928 
9.99929 

0 
0 
0 

9.99964 
9.99965 
9.99966 

9.99989 
9.99989 
9.99989 

9.99999 
9.99999 
9.99999 

19 
18 
17 

16 

12 
8 

56 
+3 
4 

44 
45 
46 

9.99879 
9.99880 
9.99881 

0 

9.99929 
9.99930 
9.99931 

0 

9.99966 
9.99967 
9.99967 

9.99989 
9.99990 
9.99990 

0.00000 
0.00000 
0.00000 

16 
15 
14 

4 
+1 
56 

8 
12 
16 

47 

48 
49 

9.99882 
9.99883 
9.99884 

9.99932 
9.99932 
9.99933 

9.99967 
9.99968 
9.99968 

9.99990 
9.99990 
9.99991 

0.00000 
0.00000 
0.00000 

13 
13 
11 

52 
48 
44 

20 

50 

9.99885 

9.99934 

9.99969 

9.99991 

0.00000 

10 

40 

24 
28 
32 

51 
52 
53 

9.99886 
9.99887 

9.99888 

0 
0 
0 

9.99934 
9.99935 
9.99936 

0 
0 
0 

9.99969 
9.99970 
9.99970 

9.99991 
9.99992 
9.99992 

0.00000 
0.00000 
0.00000 

9 
8 
7 

36 
32 
28 

36 
40 
44 

54 
55 
56 

9.99889 
9.99890 
9.99891 

0 

1 

1 

9.99936 
9.99937 
9.99938 

0 

9.99971 
9.99971 
9.99972 

9.99992 
9.99992 
9.99992 

0.00000 
0.00000 
0.00000 

6 
5 
4 

24 
20 
16 

48 
52 
56 

57 

58 
59 

9.99891 
9.99892 
9.99893 

1 
1 

1 

9.99938 
9.99939 
9.99940 

9.99972 
9.99973 
9.99973 

9.99993 
9.99993 
9.99993 

0.00000 
0.00000 
0.00000 

3 
2 

1 

12 
8 

4 

+4 

60 

9.99894 

9.99940 

9.99974 

9.99993 

0.00000 

0 

0 

Cos. 

Cos. 

Cos. 

Cos. 

Cos. 

4°    Qh  16in 

3°   oh  12'"^ 

2°     Oh sm 

1°    Oh  4m 

0°     Qhom 

Log.  Cosines.                                1 

TABLE  IV 

NATURAL  HAVERSINES 

AND 

LOGARITHMIC  HAVERSINES 


55901°— IS 4  49 


Page  50]                  TABLE  IV. 

Havereines. 

B   ' 

0^  0^  0°  c 

OA  2m  0°  W 

Oh  4m  1°  (K    U||^6"»  1°  sr 

Oh8mZ°^ 

60 

Log.nav.  Natnav. 

Log.  nav. 

Nat,  Hav. 

Log.  Hav. 

Nat.  Hav. 

^Hpfav. 

Nat.  Hav. 

Log.  Hav. 

Nat  Hav. 

0      0 

-00 

0.00000 

5.27963 

0.00002 

5.88168 

0.00008 

6.23385 

0.00017 

6.48371 

0.00030 

S 

1.72333 

.00000 

.29399 

.00003 

.88889 

.00008 

.23866 

.00017 

.48732 

.00031 

58 

4+  1 

2.32539 

.00000 

.30811 

.00003 

.89604 

.00008 

.24345 

.00018 

.49092 

.00031 

56 

6 

2.67757 

.00000 

.32201 

.00003 

.90313 

.00008 

.24821 

.00018 

.49450 

.00031 

54 

8+  2 

2.92745 

0.00000 

5.335G9 

0.00003 

5.91016 

0.00008 

6.25294 

0.00018 

6.49807 

0.00031 

52 

10 

3.12127 

.00000 

.34916 

.00003 

.91714 

.00008 

.25765 

.00018 

.50162 

.00032 

50 

12-\-   3 

3.279G3 

.00000 

.36242 

.00003 

.92406 

.00008 

.26233 

.00018 

.50516 

.00033 

48 

U 

3.41353 

.00000 

.37548 

.00003 

.93093 

.00009 

.26699 

.00018 

.50868 

.00033 

46 

16+   4 

3.52951 

0.00000 

5.38835 

0.00003 

5.93774 

0.00009 

6.27162 

0.00019 

6.51219 

0.00033 

44 

18 

3.63182 

.00000 

.40103 

.00003 

.94450 

.00009 

.27623 

.00019 

.515G8 

.00033 

42 

20+  5 

3.72333 

.00000 

.41352 

.00003 

.95121 

.00009 

.28081 

.00019 

.51916 

.00033 

40 

22 

3.80612 

.00000 

.42585 

.00003 

.95786 

.00009 
0.00009 

.28537 

.00019 

.52263 

.00033 

38 

24+   6 

3.88169 

0.00000 

5.43799 

0.00003 

5.96447 

6.28991 

0.00019 

6.52608 

0.00034 

36 

26 

3.95122 

.00000 

.44997 

.00003 

.97102 

.00009 

29442 

.00030 

.52952 

.00034 

34 

28+   7 

4.01559 

.00000 

.46179 

.00003 

.97753 

.00010 

.29891 

.00030 

.53295 

.00034 

32 

SO 

4.07551 

.00000 

.47345 

.00003 

.98399 

.00010 

.30337 

.00030 

.53636 

.00034 

SO 

S2+   8 

4.13157 

0.00000 

5.48496 

0.00003 

5.99040 

0.00010 

6.30781 

0.00030 

6.53976 

0.00035 

28 

S4 

.18423 

.00000 

.49631 

.00003 

5.99676 

.00010 

.31223 

.00031 

.54315 

.00035 

26 

36+   9 

.23388 

.00000 

.50752 

.00003 

6.00308 

.00010 

.31663 

.00031 

.54652 

.00035 

24 

S8 

.28084 

.00000 

.51858 

.00003 

.00935 

.00010 

.32101 

.00031 

.54988 

.00035 

22 

40+10 

4.32539 

0.00000 

5.52951 

0.00003 

6.01557 

0.00010 

6.32536 

0.00031 

6.55323 

0.00036 

20 

42 

.36777 

.00000 

.54030 

.00003 

.02176 

.00011 

.32969 

.00021 

.55656 

.00036 

18 

44+11 

.40818 

.00000 

.55095 

.00004 

.02789 

.00011 

.33400 

.00032 

.55988 

.00036 

16 

46 

.44679 

.00000 

.56148 

.00004 

.03399 

.00011 

.33829 

.00022 

.56319 

.00037 

14 

48+12 

4.48375 

0.00000 

5.57189 

0.00004 

6.04004 

0.00011 

6.34256 

0.00022 

6.56649 

0.00037 

12 

SO 

.51921 

.00000 

.58216 

.00004 

.04605 

.00011 

.34081 

.00022 

.56977 

.00037 

10 

52+lZ 

.55328 

.00000 

.59232 

.00004 

.05202 

.00011 

.35103 

.00033 

.57304 

.00037 

8 

54 

.58606 

.00000 

.60236 

.00004 

.05795 

.00011 

.35524 

.00033 

.57630 

.00038 

6 

56+U 

4.61765 

0.00000 

5.61229 

0.00004 

6.06384 

0.00013 

6.35943 

0.00033 

6.57955 

0.00038 

4 

58 

4.64813 

0.00000 

5.62211 

0.00004 

6.06969 

0.00013 

6.36359 

0.00033 

6.58278 

0.00038 

2 

23Ji  59m 

23h  57m 

23h  55m 

2Sh  53^ 

2Sh  5m 

B       ' 
0+15 

Oh  im  0°  O' 

Oh  sm  0°  30^ 

Oh  sm  1°  (K 

Oh  7m  1°  30^ 

Oh  Qm  3°  0^ 

s 
60 

4.67757 

0.00000 

5.63181 

0.00004 

6.07550 

0.00013 

6.36774  •0.00033 

6.58600 

0.00039 

S 

.70605 

.00000 

.64141 

.00004 

.08127' 

.00013 

.37186 

.00034 

.58921 

.00039 

58 

4+16 

.73363 

.00001 

.65090 

.00004 

.08700 

.00013 

.37597 

.00034 

.59241 

.00039 

56 

6 

.76036 

.00001 

.66029 

.00005 

.09270 

.00013 

.38006 

.00034 

.59560 

.09039 

54 

8+n 

4.78629 

0.00001 

5.66958 

0.00005 

6.09836 

0.00013 

6.38412 

0.00034 

6.59878 

0.00040 

h2 

10 

.81147 

.00001 

.M877 
.W787 

.0000^ 

.10398 

.00013 

.38817 

.^034 

.60194 

.00040 

50 

12+lS 

.83594 

.00001 

.OOOOfli.10956 

.00013 

.39220 

.00035 

.60509 

.00040 

48 

14 

.85973 

.00001 

.69687 

.00005 

.11511 

.00013 

.39622 

.00025 

.60823 

.00041 

46 

16+19 

4.88290 

0.00001 

5.70578 

0.00005 

6.12063 

0.00013 

6.40021 

0.00025 

6.61136  0.00041 

4^ 

18 

.90546 

.00001 

.71460 

.00005 

.12611 

.00013 

.40418 

.00035 

.61448 

.00941 

42 

20+20 

.92745 

.00001 

.72332 

.00005 

.13155 

.00014 

.40814 

.00026 

.61759 

.00041 

40 

22 

.94890 

.00001 

.73197 

.00005 

.13696 

.00014   .41208 

.00026 

.62068 

.09043 

38 

24+21 

4.96983 

0.00001 

5.74052 

0.00006 

6.14234 

0.00014 

6.41600 

0.00026 

6.62377  0.00042 

36 

26 

4.99027 

.00001 

.74900 

.00006 

.14769 

.00014 

.41990 

.00026 

.62684   .00042 

34 

28+22 

5.01024 

.00001 

.75739 

.00006 

.15300 

.00014 

.42379 

.00037 

.62991   .00043 

32 

SO 

.02976 

.00001 

.76570 

.00006 

.15828 

.00014 

.42766 

.00037 

.63296   .00043 

30 

S2+23 

5.04885 

0.00001 

5.77394 

0.00006 

6.16353 

0.00015 

6.43151 

0.00027 

6.63600 

0.00043 

28 

S4 

.06753 

.00001 

.78209 

.00006 

.16874 

.00015 

.43534 

.00037 

.63903 

.00044 

26 

56+24 

.08581 

.00001 

.79017 

.00006 

.17393 

.00015 

.43916 

.00037 

.64205 

.00044 

24 

S8^ 

.M"2 

.00001 

.79818 

.00006 

.17908 

.00015 

.44296 

.00028 

.64504 

.00044 

22 

40+^  l^m 

0.00001 

5.8(1011 
.8f397 

0.00006 

6.18421 

0.00015 

6.44675 

0.00028 

6.64806 

0.00044 

20 

42    ^  JHP 

.00001 

.00007 

.18930 

.00015 

.45052 

.00028 

.65105 

.00045 

18 

44+2^JI^3mi 

.00001 

.82176 

.00007 

.19437 

.00016 

.45427 

.00028 

.65403 

.00045 

16 

46 

.17188 

.00001 

.82948 

.00007 

.19940 

.00016 

.45800 

.00029 

.65700 

.00045 

14 

48+211 

5.18812 

0.00003 

5.83713 

0.00007 

6.20441 

0.00016 

6.4G172 

0.00029 

6.65996 

0.00046 

12 

60 

.20406 

.00003 

.84472 

.00007 

.20938 

.00016 

.46543 

.00029 

.66291 

.00046 

10 

52+2S 

.21971 

.00003 

^224 

.00007 

.21433 

.00016 

.46911 

.00029 

.66585 

.00046 

8 

54 

.23508 

.00003 

^^69 

.00007 

.21925 

.00017 

.47279 

.00030 

.66878 

.00047 

e 

56+29 

5.25019 

0.00003MR709 

0.00007 

6.22415 

0.00017 

6.47644 

0.00030 

6.67170 

0.00047 

4 

58 

.26503 

.OO0O^K7442 

.00008 

.22901 

.00017 

.48008 

.00030 

.67461 

.00047 

2 

60+30 

5.27^63 

0.000i!Wr.88168 

0.00008 

6.23385 

0.00017 

6.48371 

0.00030 

6.67751 

0.00048 

0 

2Sh  5Sm          j    23h  56^ 

2Sh  54m 

Oj]h  S9m 

2Sh  50m          ] 

TABLE  IV. 

[Page  51  1 

Haversines. 

s     ' 

Oh  iom  2°  30^ 

o'^j^JH^r 

Qh  14m  3°  30^  1 

Qh  16m  4°  0^ 

Oh  18m  4°  30' 

s 

Log.  Hav.  Nat.  Hav. 

Log.  na^  BK.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Ilav. 

Log.  Hav. 

Nat.  Hav. 

0      0 

6.67751 

0.00048 

6.83584 

0.00069 

6.96970 

0.00093 

7.08564 

0.00133 

7.18790 

0.00154 

60 

2 

.68040 

.00048 

.83825 

.00069 

.97176 

.00094 

.08745 

.00133 

.18950 

.00155 

58 

4+  1 

.68328 

.00048 

.84065 

.00069 

.97382 

.00094 

.08925 

.00133 

.19111 

.00155 

56 

6 

.68615 

.00049 

.84304 

.00070 

.97588 

.00095 

.09105 

.00133 

.19271 

.00156 

54 

S+   2 

6.68901 

0.00049 

6.84543 

0.00070 

6.97793 

0.00095 

7.09284 

0.00134 

7.19430 

0.00156 

52 

10 

.69186 

.00049 

.84782 

.00070 

.97997 

.00095 

.09464 

.00134 

.19590 

.00157 

50 

12+   3 

.69470 

.00050 

.85019 

.00071 

.98201 

.00096 

.09642 

.00125 

.19749 

.00158 

48 

14 

.69754 

.00050 

.85256 

.00071 

.98405 

.00096 

.09821 

.00125 

.19908 

.00158 

46 

16-\-   4 

6.70036 

0.00050 

6.85492 

0.00073 

6.98608 

0.00097 

7.09999 

0.00126 

7.20066 

0.00159 

44 

18 

.70318 

.00050 

.85728 

.00073 

.98811 

.00097 

.10177 

.00126 

.20225 

.00159 

42 

20+   5 

.70598 

.00051 

.859G3 

.00073 

.99013 

.00098 

.10354 

.00127 

.20383 

.00160 

40 

22 

.70878 

.00051 

.86197 

.00073 

.99214 

.00098 

.10531 

.00127 

.20540 

.00160 

38 

24+   6 

6.71157 

0.00051 

6.86431 

0.00073 

6.99416 

0.00099 

7.10708 

0.00138 

7.20698 

0.00161 

36 

26 

.71435 

.00053 

.86664 

.00074 

6.99616 

.00099 

.10884 

.00138 

.20855 

.00162 

34 

2S+   7 

.71712 

.00053 

.86897 

.00074 

6.99817 

.00100 

.11060 

.00139 

.21012 

.00162 

32 

SO 

.71988 

.00053 

.87129 

.00074 

7.00017 

.00100 

.11236 

.00130   .21168 

.00163 

30 

32+8 

6.72263 

0.00053 

6.87360 

0.00075 

7.00216 

0.00101 

7.11411 

0.00130 

7.21325 

0.00163 

28 

34 

.72537 

.00053 

.87591 

.00075 

.00415 

.00101 

.11586 

.00131 

.21481 

.00164 

26 

36+  9 

.72811 

.00053 

.87821 

.00076 

.00613 

.00101 

.11760 

.00131 

.21636 

.00165 

24 

38 

.73084 

.00054 

.88050 

.00076 

.00811 

.00103 

.11934 

.00133 

.21792 

.00165 
0.00166 

22 
20 

^0+10 

6.73355 

0.00054 

6.88279 

0.00076 

7.01009 

0.00103 

7.12108 

0.00133 

7.21947 

42 

.73626 

.00054 

.88507 

.00077 

.01206 

.00103 

.12282 

.00133 

.22102 

.00166 

18 

u+u 

.73896 

.00055 

.88735 

.00077 

.01403 

.00103 

.12455 

.00133 

.22256 

.00167 

16 

46 

.74166 

.00055 

.88962 

.00078 

.01599 

.00104 

.12627 

.00134 

.22411 

.00168 

14 

48+n 

6.74434 

0.00056 

6.89188 

0.00078 

7.01795 

0.00104 

7.12800 

0.00134 

7.22565 

0.00168 

12 

50 

.74702 

.00056 

.89414 

.00078 

.01990 

.00105 

.12972 

.00135 

.22718 

.00169 

10 

52+13 

.74969 

.00056 

.89639 

.00079 

.02185 

.00105 

.13144 

.00135 

.22872 

.00169 

8 

54 

.75235 

.00057 

.89864 

.00079 
0.00080 

.02379 

.00106 

.13315 

.00136 

.23025 

.00170 

6 

56+14 

6.75500 

0.00057 

6.90088 

7.02573 

0.00106 

7.13486 

0.00136 

7.23178 

0.00171 

4 

58 

6.75764 

0.00057 

6.90312 

0.00080 

7.02767 

0.00107 

7.13657  0.00137 

7.23331 

0.00171 

2 

231  49m 

23h  47m 

23^  45m 

23h4^m 

23  h  41m 

0+15 

Oh  lim  2°  30^ 

Oh  ISm  3°  0^ 

Oh  15^  3°  30' 

Oh  17m  4°  0' 

Oh  19m  4°  30^ 

s 
60 

6.76028 

0.00058 

6.^535 

0.00080 

7.02960 

0.00107 

7.13827 

0.00137 

7.23483 

0.00173 

2 

.76290 

.00058 

.90757 

.00081 

.03153 

.00108 

.13997 

.00138 

.23635 

.00173 

58 

4+16 

.76552 

.00058 

.90979 

.00081 

.03345 

.00108 

.14167 

.00139 

.23787 

.00173 

56 

6 

.76814 

.00059 

.91200 

.00083 

.03537 

00108 

.14337 

.00139 

.23939 

.00174 

54 

^+17 

6.77074 

0.00059 

6.91421 

0.00083 

7.03729 

0.00109 

7.14506 

0.00140 

7.24090 

0.00174 

52 

10 

.77334 

.00059 

'  .91641 

.00083 

.03920 

.00109 

.14674 

,   .00140 

.24241 

.00175 

50 

12+^ 

.77592 

.00060 

.91860 

.00083 

.04110 

.00110 

.14843 

.00141 

.24392 

.00175 

48 

14 

.77851 

.00060 

.92079 

.00083 

.04300 

.00110 

.15011 

.00141 

.24543 

.00176 

46 

i6+19 

6.78108 

0.00060 

6.92298 

0.00084 

7.04490 

0.00111 

7.15179 

0.00143 

7.24693 

0.00177 

44 

18 

.78364 

.00061 

.92516 

.00084 

.04680 

.00111 

.15346 

.00143 

.24843 

.00177 

42 

20+^ 

.78620 

.00061 

.92733 

.00085 

.04869 

.00113 

.15513 

.00143 

.24993 

.00178 

40 

22 

.78875 

.00061 

.92950 
6.93166 

.00085 

.05057 

.00112 
0.00113 

.15680 

.00143 

.25143 

.00178 

38 

24+^1 

6.79129 

0.00063 

0.00085 

7.05245 

7.15846 

0.00144 

7.25292 

0.00179 

36 

26 

.79383 

.00063 

.93382 

.00086 

.05433 

.00113 

.16013 

.00145 

.25441 

.00180 

34 

28+1S2 

.79630 

.00063 

.93597 

.00086 

.05620 

.00114 

.16178 

.00145 

.25590 

.00180 

32 

30 

.79888 

.00063 

.93812 

.00087 

.05807 

.00114 

.16344 

.00146 

.25738 

.00181 

SO 

32+^ 

6.80139 

0.00063 

6.94026 

0.00087 

7.05994 

0.00115 

7.16509 

0.00146 

7.25886 

0.00181 

28 

34 

.80390 

.00064 

.94239 

.00088 

.06180 

.00115 

.16674 

.00147 

.26034 

.00183 

26 

36+U 

.80640 

.00064 

.94453 

.00088 

.06366 

.00116 

.16839 

.00147 

.26182 

.00183 

24 

38 

.80889 

.00064 

.94665 

.OOOSS 

.06551 

.00116 
0.00117 

.17003 
7.17167 

.00148 

.26330 

.0018^ 
0.00184 

22 
20 

40+25 

6.81137 

0.00065 

6.94877 

0.00089 

7.06736 

0.00148 

7.264^ 
.2663? 

42 

.81385 

.00065 

.95089 

.00089 

.06920 

.00117 

.17331 

.00149 

.00185 

18 

44+^ 

.81632 

.00086 

.95300 

.00090 

.07105 

.00118 

.17494 

.00150 

.26771 

.00185 

16 

46 

.81879 

.C00G6 

.95510 

.00090 

.07288 

.00118 

.17657 

.00150 

.26917 

.00186 

U 

48+Z^ 

6.82124 

0.00066 

6.95720 

0.00091 

7.07472 

0.00119 

7.17820 

0.00151 

7.27064 

0.00186 

12 

50 

.82369 

.00067 

.95930 

.00091 

.07655 

.00119 

.17982 

.00151 

.27210 

.00187 

10 

5:^+28 

.82614 

.00067 

.96139 

.00091 

.07837 

.00120 

.18144 

.00153 

.27355 

.00188 

8 

54 

.82857 

.00067 

.96347 

.00093 

.08019 

.00130 

.18306 

.00153 

.27501 

.00188 

6 

56+39 

6.83100 

0.00068 

6.96555 

0.00093 

7.08201 

0.00121 

7.18468 

0.00153 

7.27646 

0.00189 

4 

58 

.83342 

.00068 

.66763 

.00093 

.08383 

.00121 

.18629 

.00154 

.27791 

.00190 

2 

6(7+30 

6.83584 

0.00069 

6.96970 

0.00093 

7.08564 

0.00133 

7.18790 

0.00154 

7.27936 

0.00190 

0 

23  h  48  m. 

23h  46"* 

23h  44^ 

23h42r<^ 

23  h  40'" 

Page  52] 

TABLE  IV. 

Haversines. 

s     ' 

0Af0"»5°0' 

Oh  tzr^  5°  30'' 

Oft  24^"  6°  0' 

...0Jkj?6™  6°  30^ 

Oh  28^  7°  O' 

s 

Log.  Hav 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Ilav. 

Nat.  Hav. 

Lb^.Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0      0 

7.27936 

0.00190 

7.36209 

0.00230 

7.43760 

0.00274 

7.50706 

0.00321 

7.57135 

0.00373 

60 

o 

.28080 

.00191 

.36340 

.00231 

.43880 

.00275 

.50817 

.00323 

.57238 

.00374 

58 

4+   1 

.28225 

.00193 

.36471 

.00233 

.44001 

.00275 

.50928 

.00333 

.57341 

.00374 

56 

6 

.28369 

.00193 

.36602 
7.36733 

.00333 
0.00333 

.44121 

7.44241 

.00276 
0.00277 

.51039 

.00324 

.57444 

.00375 

54 
52 

8+   3 

7.28513 

0.00193 

7.51149 

0.00325 

7.57547 

0.00376 

10 

.28656 

.00193 

.36864 

.00334 

.44361 

.90278 

.51260 

.00326 

.57650 

.00377 

50 

12+   3 

.28800 

.00194 

.36994 

.00334 

.44480 

.00278 

.51370 

.00326 

.57752 

.00378 

48 

14 

.28943 

.00195 

.37124 

.00235 

.44600 

.00279 

.51481 

.00327 

.57855 

.00379 

46 

16+   4 

7.29086 

0.00195 

7.37254 

0.00236 

7.44719 

0.00280 

7.51591 

0.00328 

7.57957 

0.00380 

u 

18 

.29228 

.00196 

.37384 

.00237 

.44838 

.00281 

.51701 

.00329 

.58060 

.00381 

42 

20+  5 

.29371 

.00197 

.37514 

.00337 

.44957 

.00283 

.51811 

.00330 

.58162 

.00382 

40 

22 

.29513 

.00197 

.37643 

.00338 

.45076 

.00283 

.51921 

.00331 

.58264 

.00383 

38 

24+   6 

7.29655 

0.00198 

7.37773 

0.00339 

7.45194 

0.00383 

7.52030 

0.00331 

7.58366 

0.00383 

36 

26 

.29797 

.00199 

.37902 

.00339 

.45313 

.00384 

.52140 

.00332 

.58467 

.00384 

34 

28+   7 

.29938 

.00199 

.38030 

.00340 

.45431 

.00385 

.52249 

.00333 

.58569 

.00385 

32 

SO 

.30079 

.00200 

.38159 

.00341 

.45549 

.00385 

.52358 

.00334 

.58670 

.00386 

30 

S2+   8 

7.30220 

0.00201 

7.38288 

0.00341 

7.45667 

0.00386 

7.52467 

0.00335 

7.58772 

0.00387 

28 

S4 

.30361 

.00301 

.38416 

.00343 

.45785 

.00387 

.52576 

.00336 

.58873 

.00388 

26 

se+  9 

.30502 

.00302 

.38544 

.00343 

.45903 

.00288 

.52685 

.00336 

.58974 

.00389 

24 

S8 

.30642 

.00203 

.38672 

.00344 

.46020 

.00289 

.52794 

.00337 

.59075 

.00390 

22 

40+10 

7.30782 

0.00203 

7.38800 

0.00244 

7.46138 

0.00289 

7.52902 

0.00338 

7.59176 

0.00391 

20 

42 

.30922 

.00304 

.38927 

.00345 

.46255 

.00290 

.53011 

.00339 

.59277 

.00393 

18 

44+\\ 

.31062 

.00304 

.39054 

.00246 

.46372 

.00291 

.53119 

.00340 

.59378 

.00392 

16 

46 

.31201 

.00205 

.39182 

.00347 

.46489 

.00393 

.53227 

.00341 

.59478 

.00393 

14 

48+i2 

7.31340 

0.00306 

7.39309 

0.00347 

7.46605 

0.00393 

7.53335 

0.00341 

7.59579 

0.00394 

12 

50 

.31479 

.00266 

.39435 

.00348 

.46722 

.00393 

.53443 

.00343 

.59679 

.00395 

10 

52+lZ 

.31618 

.00207 

.39562 

.00349 

.46838 

.00394 

.53550 

.00343 

.59779 

.00396 

8 

54 

.31757 

.00308 

.39688 

.00349 

.46955 

.00395 

.53658 

.00344 

.59879 

.00397 

6 

56+14 

7.31895 

0.00208 

7.39815 

0.00350 

7.47071 

0.00396 

7.53706 

0.00345 

7.59979 

0.00398 

4 

58 

7.32033 

6.00309 

7.39941 

0.00251 

7.47187 

0.00396 

7.53873 

0.00346 

7.60079 

0.00399 

2 

23T^  39^ 

23^  ^7™ 

23  h  35^ 

23»'  33>n 

f-SftJim 

8    ' 

0+15 

0^21r'*5°0' 

OA  23-^  5°  30^ 

Oft  25"^  6°  0^ 

Oft  27^  6°  W 

Oft  29^  7°  0' 

3 
60 

7.32171 

6.00310 

7.40067 

0.00353 

7.47302 

0.00397 

7.53980 

0.00347 

7.60179 

0.00400 

f 

.32309 

.00310 

.40192 

.00352 

.47418 

.00398 

.54087 

.00347 

.60279 

.00401 

58 

4+16 

.32446 

.00311 

.40318 

.00253 

.47533 

.00399 

.54194 

.00348 

.60378 

.09403 

56 

6 

,32583 

.00213 

.40443 

.00254 

.47649 

.00300 

.54301 

.00349 

.60478 

.00403 

54 

5+17 

7.32720 

0.00313 

7.40568 

0.00255 

7.47764 

0.00300 

7.54407 

0.00350 

7.60577 

0.00403 

52 

10 

.32857 

.00313 

.40693 

.00255 

.47879 

.00301 

.54514 

.00351 

.60676 

.00404 

50 

12+1'i 

.32994 

.00314 

.40818 

.00256 

.47994 

.00303 

.54620 

.00352 

.60775 

.00405 

48 

14 

.33130 

.00314 

.40943 

.00357 

.48109 

.00303 

.54727 

.00353 

.60874 

.00406 

46 

16+19 

7.33266 

0.00315 

7.41067 

0.00357 

7.48223 

0.00304 

7.54833 

0.00353 

7.60973 

0.00407 

44 

18 

.33402 

.00316 

.41191 

.00358 

.48337 

.00304 

.54939 

.00354 

.61072 

.00408 

42 

20+2(i 

.33538 

.00316 

.41315 

.00359 

.48452 

.00305 

.55045 

.00355 

.61170 

.00409 

40 

22 

.33673 

.00217 

.41439 

.00360 

.48566 

.00306 

.55150 

.00356 

.61269 
7.61367 

.00410 

38 

24+n 

7.33809 

0.00218 

7.41563 

0.00360 

7.48680 

0.00307 

7.55256 

0.00357 

0.00411 

36 

26 

.33944 

.00218 

.41686 

.00361 

.48794 

.00308 

.55361 

.00358 

.61466 

.00413 

34 

28+n 

.34079 

.00219 

.41810 

.00363 

.48907 

.00308 

.55467 

.00359 

.61564 

.00413 

32 

SO 

.34213 

.00230 

.41933 

.00363 

.49021 

.00309 

.55572 

.00360 

.61662 

.00414 

30 

32+ZS 

7.34348 

0.00331 

7.42056 

0.00363 

7.49134 

0.00310 

7.55677 

0.00360 

7.61760 

0.00415 

28 

S4 

.34482 

.00331 

.42179 

.00364 

.49247 

.00311 

.55782 

.00361 

.61858 

.00416 

26 

S6+24: 

.34616 

.00333 

.42301 

.00265 

.49360 

.00313 

.55887 

.00362 

.61955 

.00416 

24 

S8 

.34750 

.00323 

.42424 

.00266 

.49473 

.00312 

.55992 

.00363 

.62053 

.00417 

22 

40+35 

7.34884 

0.00233 

7.42546 

0.00266 

7.49586 

0.00313 

7.56096 

0.00364 

7.62151 

0.00418 

20 

42 

.35017 

.00334 

.42668 

.00267 

.49699 

.00314 

.56201 

.00365 

.62248 

.00419 

18 

44+26 

.35150 

.00335 

.42790 

.00368 

.49811 

.00315 

.56305 

.00366 

.62345 

.00430 

16 

46 

.35283 

.00335 

.42912 

.00389 

.49923 

.00316 

.56409 

.00367 

.62442 

.00431 

14 

48+21t 

7.35416 

0.00336 

7.43034 

0.00369 

7.50036 

0.00316 

7.56513 

0.00367 

7.62540 

0.00433 

12 

50 

.35549 

.00337 

.43155 

.00370 

.50148 

.00317 

.56617 

.00368 

.62666 

.00433 

10 

52+28 

.35681 

.00337 

.43277 

.00371 

.50259 

.00318 

.56721 

.00369 

.62733 

.00434 

8 

54 

.35813 

.00338 

.43398 
7.43519 

.00373 

.50371 

.00319 

.56825 

.00370 

.62830 

.00435 

6 

4 

56+29 

7.35945 

0.00339 

0.00373 

7.50483 

0.00330 

7.56928 

0.00371 

7.62927 

0.00426 

58 

.36077 

.00339 

.43639 

.00273 

.50594 

.00331 

.57032 

.00372 

.63023 

.00427 

2 

60+30 

7.36209 

0.00330 

7.43760 

0.00274 

7.50706 

0.00321 

7.57135 

0.00373 

7.63120 

0.00428 

0 

23  h  38^ 

23^  36"^ 

23h  34"^ 

23''  32"i 

g5ft  .SO"    1 

TABLE  IV.                   [Page  53 

Haversines. 

s     ' 

Qh  30^'^  7°  30^ 

Oh,  S2m  8°  0' 

Oh  34^  8°  30' 

Oft  56'"  9°  O'  1  Oft  55'"  9°  SO'  | 

3 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0      0 

7.63120 

0.0043S 

7.68717 

0.00487 

7.73974 

0.00549 

7.78929 

0.00616 

7.83615 

0.00686 

60 

f 

.63216 

.00429 

.68807 

.00488 

.74059 

.00550 

.79009 

.00617 

.83691 

.00687 

68 

4+  1 

.63312 

.00430 

.68897 

.00489 

.74143 

.00551 

.79089 

.00618 

.83767 

.00688  66 

6 

.63408 

.00431 

.68987 

.00490 

.74228 

.00552 

.79169 

.00619 

.83842 

.00689  64 

8+  % 

7.63504 

0.00432 

7.69077 

0.00491 

7.74313 

0.00554 

7.79249 

0.00620 

7.83918 

0.00691  62 

10 

.63600 

.00433 

.69167 

.00492 

.74398 

.00555 

.79329 

.00621 

.83994 

.00692 

60 

12+   3 

.63696 

.00433 

.69257 

.00493 

.74482 

.00556 

.79409 

.00622 

.84070 

.00693 

48 

U 

.63792 

.00434 

.G9347 

.00494 

.74567 

.00557 

.79489 

.00624 

.84145 

.00694 

46 

16+   4 

7.63887 

0.00435 

7.69437 

0.00495 

7.74651 

0.00558 

7.79568 

0.00625 

7.84221 

0.00695 

U 

18 

.63983 

.00436 

.69526 

.00496 

74735 

.00559 

.79648 

.00626 

.84296 

.00697 

42 

20+   5 

.64078 

.00437 

.69616 

.00497 

.74819 

.00560 

.79728 

.00627 

.84372 

.00698 

40 

22 

.64173 

.00438 

.69705 

o00498 

.74904 

.00561 

.79807 

.00628 

.84447 

.00699 

38 

24+   6 

7.64269 

0.00439 

7.69794 

0.00499 

7.74988 

0.00562 

7.79886 

0.00629 

7.84522 

0.00700 

36 

26 

.64364 

.00440 

.69883 

.00500 

.75072 

.00563 

.79966 

.00630 

.84597 

.00701 

34 

28+   7 

.64458 

.00441 

.69972 

.00501 

.75155 

.00564 

.80045 

.00632 

.84672 

.00703 

32 

SO 

.64553 

.00442 

.70061 

.00502 

.75239 

.00565 

.80124 

.00633 

.84747 

.00704 

30 

32+   8 

7.64648 

0.00443 

7.70150 

0.00503 

7.75323 

0.00567 

7.80203 

0.00634 

7.84822 

0.00705 

28 

54 

.64743 

.00444 

.70239 

.00504 

.75407 

.00568 

.80282 

.00635 

.84897 

.00706 

26 

56+  9 

.64837 

.00445 

.70328 

.00505 

.75490 

.00569 

.80361 

.00636 

.84972 

.00707 

24 

38 

.64932 

.00446 

.70416 

.00506 

.75574 

.00570 

.80440 

.00637 

.85047 

.00709 

22 

40+10 

7.65026 

0.00447 

7.70505 

0.00507 

7.75657 

0.00571 

7.80519 

0.00639 

7.85122 

0.00710 

20 

42 

.65120 

.0044S 

.70593 

.00508 

.75740 

.00572 

.80598 

.00640 

.85196 

.00711 

18 

44+n 

.65214 

.00449 

.70682 

.00509 

.75824 

.00573 

.80677 

.00641 

.85271 

.00712 

16 

46 

.65308 

.00450 

.70770 

.00510 

.75907 

.00574 

.80755 

.00642 

.85346 

.00714 

14 

48+n 

7.65402 

0.00451 

7.70858 

0.00511 

7.75990 

0.00575 

7.80834 

0.00643 

7.85420 

0.00715 

12 

60 

.65496 

.00452 

.70946 

.00512 

.76073 

.00576 

.80912 

.00644 

.85494 

.00716 

10 

5^+13 

.65590 

.00453 

.71034 

.00513 

.78156 

.00578 

.80991 

.00646 

.85569 

.00717 

8 

64 

.65683 

.00454 

.71122 

.00514 

.76239 

.00579 

.81069 

.00647 

.85643 

.00719 

6 

66+14: 

7.65777 

0.00455 

7.71210 

0.00515 

7.76321 

0.00580 

7.81147 

0.00648 

7.85717 

0.00720 

4 

58 

7.65870 

0.00456 

7.71298 

0.00516 

7.76404 

0.00581 

7.81225 

0.00649 

7.85791 

0.00721 

2 

23k  29-'» 

23h  27 m 

55  A  25m 

2Sh  2Sm 

23h  21m 

8    ' 

0+15 

0h31r»7°Z0' 

Oh  33m  8°  O' 

Oh  S5m  8°  30' 

Oh  37 m  9°  0' 

Oh  39m  9°  30' 

s 
60 

7.65964 

0.00457 

7.71385 

0.00517 

7.76487 

0.00582 

7.81303 

0.00650 

7.85866 

0.00722 

2 

.66057 

.00458 

.71473 

.00518 

.76569 

.00583 

.81382 

.00651 

.85940 

.00723 

68 

■^+16 

.66150 

.00459 

.71560 

.00520 

.76652 

.00584 

.81459 

.00653 

.86014 

.00725 

66 

6 

.66243 

.00460 

.71648 

.00521 

.76734 

.00585 

.81537 

.00654 

.86087 

.00726 

54 
62 

8+17 

7.66336 

0.00461 

7.71735 

0.00522 

7.76816 

0.00586 

7.81615 

0.00655 

7.86161 

0.00727 

10 

.66429 

.00462 

.71822 

.00523 

.76898 

.00587 

.81693 

.00656 

.86235 

.00728 

60 

12+18 

.66521 

.00463 

.71909 

.00524 

.76981 

.00589 

.81771 

.00657 

.86309 

.00730 

48 

14 

.66614 

.00464 

.71996 

.00525 

.77063 

.00590 

.81848 

.00658 

.86382 

.00731 

46 

16+19 

7.66706 

0.00465 

7.72083 

0.00526 

7.77145 

0.00591 

7.81926 

0.00660 

7.86456 

0.00732 

44 

18 

.66799 

.00466 

.72170 

.00527 

.77227 

.00592 

.82003 

.00661 

.86530 

.00733 

42 

20+20 

.66891 

.00467 

.72257 

.00528 

.77308 

.00593 

.82081 

.00662 

.86603 

.00735 

40 

22 

.66983 

.00468 

.72343 

.00529 

.77390 

.00594 
0.00595 

.82158 

7.82235 

.00663 

.86676 

.00736 
0.00737 

38 
36 

24+21 

7.67075 

0.00469 

7.72430 

0.00530 

7.77472 

0.00664 

7.86750 

26 

.67167 

.00470 

.72516 

.00531 

.77553 

.00596 

.82313 

.00665 

.86823 

.00738 

34 

28+HZ 

.67259 

.00471 

.72603 

.00532 

.77635 

.00598 

.82390 

.00667 

.86896 

.00740 

32 

30 

.67351 

.00472 

.72689 

.00533 

.77716 

.00599 

.82467 

.00668 

.86969 

.00741 

30 

32+2S 

7.67443 

0.00473 

7.72775 

0.00534 

7.77798 

0.00600 

7.82544 

0.00669 

7.87042 

0.00742 

28 

34 

.67535 

.00474 

.72801 

.00535 

.77879 

.00601 

.82621 

.00670 

.87115 

.00743 

26 

56+24 

.67626 

.00475 

.72948 

.00536 

.77960 

.00602 

.82698 

.00671 

.87188 

.00745 

24 

38 

.67718 

.00476 

.73034 

.00537 

.78041 

.06603 

.82774 

.00673 

.87261 

.00746 

22 

40+25 

7.67809 

0.00477 

7.73119 

0.00539 

7.78122 

0.00604 

7.82S51 

0.00674 

7.87334 

0.00747 

20 

42 

.67900 

.00478 

.73205 

.00540 

.78203 

.00605 

.82928 

.00675 

.87407 

.00748 

18 

44+26 

.67991 

.00479 

.73291 

.00541 

.78284 

.00607 

.83004 

.00676 

.87480 

.00750 

16 

46 

.68082 

.00480 

.73377 

.00542 

.78365 

.00608 

.83081 

.00677 

.87552 

.00751 

14 

48+27 

7.68173 

0.00481 

7.73462 

0.00543 

7.78446 

0.00609 

7.83157 

0.00679 

7.87625 

0.00752 

12 

50 

.68264 

.00482 

.73548 

.00544 

.78526 

.00610 

.83234 

.00680 

.87697 

.00753 

10 

52 +2S 

.68355 

.00483 

.73633 

.00545 

.78607 

.00611 

.83310 

.00681 

.87770 

.00755 

8 

54 

.68445 

.00484 

.73718 

.00546 

.78688 

.00612 

.83386 

.00682 

.87842 

.00756 

6 

66+29 

7.68536 

0.00485 

7.73803 

0.00547 

7.78768 

0.00613 

7.83463 

0.00683 

7.87915 

0.00757 

4 

58 

.68627 

.00486 

.73889 

.00548 

.78848 

.00614 

.83539 

.00685 

.87987 

.00758 

i 

60+30 

7.68717 

0.00487 

7.73974 

0.00549 

7.78929 

0.00616 

7.83615 

0.00686 

7.88059 

0.00760 

0 

2Sh  28-^ 

23h  26m 

2Sh  24m 

2Sh  22m 

23h  20m 

Page  54]                  TABLE  IV. 

Haversinea. 

s     ' 

0      0 

o 

"4+  1 

6 

Oh  40^  10°  0' 

Oh  42m  10°  30' 

Oh  44m  11°  0' 

Oh  46m  11°  30' 

Oh  48m  13°  O' 

s 

Log.  Ilav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

7.8S059 
.88131 
.88203 
.88276 

0.00760 
.00761 
.00763 
.00763 

7.92286 
.92354 
.92423 
.92492 

0.00837 
.00839 
.00840 
.00841 

7.96315 
.96380 
.96446 
.96511 

0.00919 
.00930 
.00931 
.00933 

8.00103 
.00226 
.00289 
.00351 

0.01004 
.01005 
.01007 
.01008 

8.03847 
.03907 
.03967 
.04027 

0.01093 
.01094 
.01096 
.01097 

60 
58 
56 
54 

8+  2 

10 

12+   3 
14 

16+   4 
IS 

20+  5 
22 

7.88348 
.88419 
.88491 

.88563 
7.88635 
.88707 
88778 
.88850 

0.00765 
.00766 
.00767 
.00768 

0.00770 
.00771 
.00773 
.00774 

7.92560 
.92629 
.92697 
.92766 

7.92834 
.92902 
.92970 
.93039 

0.00843 
.00844 
.00845 
.00847 

0.00848 
.00849 
.00851 
.00853 

7.96577 
.96642 
.96707 
.96773 

7.96838 
.96903 
.96968 
.97033 

0.00934 
.00936 
.00937 
.00928 

0.00930 
.00931 
.00933 
.00934 

8.00414 
.00476 
.00539 
.00601 

8.00664 
.00726 
.00788 
.00851 

0.01010 
.01011 
.01013 
.01014 

0.01015 
.01017 
.01018 
.01030 

8.04087 
.04147 
.04207 
.04267 

8.04326 
.04386 
.04446 
.04506 

0.01099 
.01100 
.01102 
.01103 

0.01105 
.01106 
.01108 
.01109 

52 
50 
48 
46 

44 
42 
40 
38 
36 
34 
32 
30 
28 
26 
24 
22 

24+  0 

26 

28+   7 
30 

32+   8 
34 

36+  9 
38 

7.88921 
.88993 
.89064 
.89135 

7.89207 
.89278 
.89349 
.89420 

0.00775 
.00776 
.00777 
.00779 

0.00780 
.00781 
.00783 
.00784 

7.93107 
.93175 
.93243 
.93311 

7.93379 
.93447 
.93514 
.93582 

0.00853 
.00855 
.00856 
.00857 

0.00859 
.00860 
,00861 
.00863 

7.97098 
.97163 
.97228 
.97293 

7.97358 
.97423 
.97478 
.97552 

0.00935 
.00937 
.00938 
.00940 

0.00941 
.00943 
.00944 
.00945 

8.00913 
.00975 
.01037 
.01099 

8.01161 
.01223 
.01285 
.01347 

0.01031 
.01033 
.01024 
.01026 

0.01027 
.01029 
.01030 
.01032 

8.04565 
.04625 
.04684 
.04744 

8.04803 
.04863 
.04922 
.04981 

0.01111 
.01112 
.0U14 
.01115 

0.01117 
.01118 
.0U20 
.01122 

40+10 

42 

44+11 

46 

48+12 

50 

52+13 

B4 

7.89491 
.89562 
.89633 
.89704 

7.89775 
.89846 
.89916 
.89987 

0.00785 
.00786 
.00788 
.00789 

0.00790 
.00793 
.00793 
.00794 

7.93650 
.93717 
.93785 
.93852 

7.93920 
.93987 
.94055 
.94122 

0.00864 
.00865 
.00867 
.00868 

0.00869 
.00871 
.00873 
.00873 

7.97617 
.97681 
.97746 
.97810 

7.97875 
.97939 
.98003 
.98068 

0.00947 
.00948 
.00949 
.00951 

0.00953 
.00954 
.00955 
.00956 

8.01409 
.01471 
.01532 
.01594 

8.01656 
.01717 
.01779 
.01840 

0.01033 
.01034 
.01036 
.01037 

0.01039 
.01040 
.01042 
.01043 

8.05041 
.05100 
.05159 
.05218 

8.05277 
.05336 
.05395 
.05454 

0.01133 
.01125 
.01126 
.01128 

0.01129 
.01131 
.01132 
.01134 

20 
IS 
16 
14 
12 
10 
8 
6 

56+14 
58 

7.90057 
7.90128 

0.00795 
0.00797 

7.94189 
7.94257 

0.00875 
0.00876 

7.98132 
7.98196 

0.00958 
0.00959 

8.01902 
8.01963 

0.01045 
0.01046 

8.05513 
8.05572 

0.0U35 
0.0U37 

4 

2 

23!^  19^ 

23h  17m 

23h  15m 

2Sh 13m 

2Sh  11m 

0+15 

i 

-♦+16 

6 

Oh  41m   10°  r 

Oh4Sm  10°  30' 

Oh  45m   11°  O' 

Oh  47m  11°  30^ 

Oh  49m  12°  O' 

s 

7.90198 
.90269 
.90339 
.90409 

0.00798 
.00799 
.00801 
.00802 

7.94324 
.94391 
.94458 
.94525 

0.00877. 
.00879 
.00880 

.00882 

7.98260 
.98325 
.98389 
.98453 

0.00961 
.00963 
.00964 
.00965 

8.02025 
.02086 
.02148 
.02209 

0.01048 
.01049 
.01051 
.01052 

8.05631 
.05690 
.05749 
.05808 

0.01138 
.01140 
.01142 
.01143 

60 
58 
56 
54 

8+11 
10 

12+18 

14 

16+10 

18 

20+20 

22 

7.90480 
.90550 
.90620 
.90690 

7.90760 
.90830 
.90900 
.90970 

0.00803 
.00804 
.00806 
.00807 

0.0080S 
.00810 
.00811 
.00813 

7.94592 
.94659 
.94726 
.94792 

7.94859 
.94926 
.94992 
.95059 

0.00883 

.00884 
.00886 
.00887 
0.00888 
.00890 
.00891 
.00892 

7.98517 
.98581 
.98644 
.98708 

7.98772 
.98836 
.98899 
.98963 

0.00966 
.00968 
.00969 
.00971 

0.06973 
.00974 
.00975 
.00976 

8.02270 
.02331 
.02392 
.02453 

8.02515 
.02576 
.02637 
.02697 

0.01054 
.01055 
.01057 
.01058 

0.01060 
.01061 
.01063 
.01064 

8.05866 
.05925 
.05984 
.06042 

8.06101 
.06159 
.06218 
.06276 

0.01145 
.01146 
.01148 
.01149 

0.01151 
.01152 
.01154 
.01155 

52 
50 
48 
46 
U 
42 
40 
38 

24+21 

26 

28+22 

SO 

S2+23 

34 

56+24 

38 

7.91039 
.91109 
.91179 
.91248 

7.91318 
.91387 
.91457 
.91526 

0.00814 
.00815 
.00816 
.00817 

0.00819 
.00820 
.00821 
.00833 

7.95126 
.95192 
.95259 
.95325 

7.95391 
.95458 
.95524 
.95590 

0.00894 
.00895 
.00897 
.00898 

0.00899 
.00901 
.00902 
.00903 

7.99027 
99090 
.99154 
.99217 

7.99281 
.99344 
.99407 
.99470 

0.00978 
.00979 
.00981 
.00983 

0.00984 
.00985 
.00986 
.00988 

8.02758 
.02819 
.02880 
.02941 

8.03001 
.03062 
.03123 
.03183 

0.01066 
.01067 
.01089 
.01070 

0.01072 
.01073 
.01075 
.01076 

8.06335 
.06393 
.06451 
.06510 

8.06568 
.06626 
.06684 
.06742 

0.01157 
.01159 
.01160 
.01162 

0.01163 
.01165 
.01166 
.01168 

36 
34 
32 
SO 
28 
26 
24 
22 

40+25 

42 

44+20 

46 

48+21 

50 

52+28 

54 

7.91596 
.91665 
.91734 
.91803 

7.91872 
.91941 
.92010 
.92079 

0.00834 
.00835 
.00837 
.00838 

0.00839 
.00831 
.00833 
.00833 

7.95656 
.95722 
.95788 
.95854 

7.95920 
.95986 
.96052 
.96118 

0.00905 
.00906 
.00908 
.00909 

0.00910 
.00912 
.00913 
.00914 

7.99534 
.99597 
.99660 
.99723 

7.99786 
.99849 
.99912 

7.99975 

0.00989 
.00991 
.00993 
.00994 

0.00995 
.00997 
.00998 
.00999 

8.03244 
.03304 
.03365 
.03425 

8.03486 
.03546 
.03606 
.03666 

0.01078 
.01079 
.01081 
.01082 

0.01084 
.01085 
.01087 
.01088 

8.06800 
.06859 
.06917 
.06975 

8.07032 
.07090 
.07148 
.07206 

0.01170 
.01171 
.01173 
.01174 

0.01176 
.01177 
.01179 
.01180 

20 
18 
16 
14 
12 
10 
8 
6 

56+39 

58 

60+30 

7.92148 

.92217 

7.92286 

0.00835 

.00836 

0.00837 

7.96183 

.96249 

7.96315 

0.00916 

.00917 

0.00919 

8.00038 

.00100 

8.00163 

0.01001 

.01003 

0.01004 

8.03727 

.03787 

8.03847 

0.01090 

.01091 

0.01093 

8.07264 

.07322 

8.07379 

0.01183 

.01184 

0.01185 

4 
2 
0 

23 h 18m 

23h  16m 

23h 14m 

23h 12m 

23h 10m 

TxVBLE  IV.                   [Page  65 

Haversinea. 

s    ' 

Ofe  50r^  13°  30' 

Qh  52^  13°  0' 

Oft  5-^'"  13°  30' 

Oft  56"»  14°  0' 

Oft  5<?"»  14°  30' 

3 

Log.  nav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  nav. 

Log.  Hav. 

Nat.  Ilav 

Log.  Hav. 

Nat.  Tlav 

0      0 

8.07379 

0.01185 

8.10772 

0.01283 

8.14035 

0.01382 

8.17179 

0.01485 

8.20211 

0.01593 

60 

2 

.07437 

.01187 

.10827 

.01283 

.14089 

.01383 

.17230 

.01487 

.20261 

.01594 

58 

4+  1 

.07494 

.01188 

.10883 

.01285 

.14142 

.01385   .17282 

.01489 

.20310 

.01596 

56 

6 

.07552 

.01190 

.10938 

.01286 

.14195 

.01387 

.17333 

.01491 

.20360 

.01598 

54 
52 

8+   2 

8.07610 

0.01192 

8.10993 

0.01288 

8.14248 

0.01388 

8.17384 

0.01492 

8.20410 

0.01600 

10 

.07667 

.01193 

.11049 

.01390 

.14302 

.01390 

.17436 

.01494 

.20459 

.01602 

50 

12+   3 

.07725 

.01195 

.11104 

.01391 

.14355 

.01392 

.17487 

.01496 

.20509 

.01604 

■'rS 

U 

.07782 

.01196 

.11159 

.01393 

.14408 

.01393 

.17538 

.01498 

.20558 

.01605 

46 

16+   4 

8.07839 

0.01198 

8.11214 

0.01295 

8.14461 

0.01395 

8.17590 

0.01499 

8.20608 

0.01607 

44 

18 

.07897 

.01199 

.11269 

.01296 

.14514 

.01397 

.17641 

.01501 

.20057 

.01609 

42 

20+  5 

.07954 

.01201 

.11324 

.01298 

.14567 

.01399 

.17692 

.01503 

.20706 

.01611 

40 

22 

.08011 

.01203 

.11379 

.01300 

.14620 

o01400 

.17743 

.01505 

.20756 

.01613 

38 
36 

24+   6 

8.08069 

0.01201 

8.11435 

0.01301 

8.14673 

0.01402 

8.17794 

0.01506 

8.20805 

0.01615 

26 

.08126 

.01306 

.11490 

.01303 

.14726 

.01404 

.17845 

.01508 

.20854 

.01616 

34 

28+  1 

.08183 

.01307 

.11544 

.01305 

.14779 

.01405 

.17896 

.01510 

.20904 

.01618 

32 

SO 

.08240 

.01309 

.11599 

.01306 

.14832 

.01407 

.17947 

.01513 

.20953 

.01620 

30 

32+   8 

8.08297 

0.01311 

8.11654 

0.01308 

8.14885 

0.01409 

8.17998 

0.01S13 

8.21002 

0.01622 

98 

34 

.08354 

.01212 

.11709 

.01309 

.14938 

.01411 

.18049 

.01515 

.21051 

.01624 

96 

36+   9 

.08411 

.01214 

.11764 

.01311 

.14991 

.01412 

.18100 

.01517 

.21100 

.01626 

f4 

38 

.08468 
8.08525 

.01215 

.11819 

.01313 

.15043 

.01414 

.18151 

.01519 

.21149 

.01627 

22 

^0+10 

0.01217 

8.11873 

0.01314 

8.15096 

0.01416 

8.18202 

0.01521 

8.21199 

0,01629 

m 

42 

.08582 

.01318 

.11928 

.01316 

.15149 

.01417 

.18253 

.01522 

.21248 

.01631 

18 

44+11 

.08639 

.01320 

.11983 

.01317 

.15201 

.01419 

.18303 

.91524 

.21297 

.01633 

16 

46 

.08696 

.01332 

.12038 

.01319 

.15254 

.01431 

.18354 

.01526 

.21346 

.01635 

14 

48+12 

8.08752 

0.01223 

8.12092 

0.01321 

8.15307 

0.01423 

8.18405 

0.01538 

8.21395 

0.01637 

19 

50 

.08809 

.01225 

.12147 

.01323 

.15359 

.01434 

.18455 

.01530 

.21444 

.01638 

10 

62+lZ 

.08866 

.01236 

.12201 

.01334 

.15412 

.01426 

.18500 

.01531 

.21493 

.01640 

8 

54 

.08922 

.01338 

.12256 

.01336 

.15464 

.01438 

.18557 

.01533 

.21541 

.01642 

6 

56+14: 

8.08979 

0.01230 

8.12310 

0.01338 

8.15517 

0.01429 

8.18607 

0.01535 

8.21590 

0.01644 

4 

58 

8.09036 

0.01231 

8.12365 

0.01339 

8.15569 

0.01431 

8.18658 

0.01537 

8.21639 

0.01646 

2 

2Sh  9'" 

23h   7m 

2Jft  5.-'' 

i?J*  3rr> 

2Sh  Im 

B         ' 

0+15 

Oh  51m  12°  SO' 

Oft  55'"  13°  r 

Oft  55^  13°  30' 

Oft  57 m  14°  0' 

Qh  59^  14°  30' 

s 
60 

8.09092 

0.01233 

8.12419 

0.01331 

8.15622 

0.01433 

8.18709 

0.01538 

8.21688 

0.01648 

2 

.09149 

.01234 

.12473 

.01333 

.15674 

.01435 

.18759 

.01540 

.21737 

.01650 

58 

4+16 

.09205 

.01236 

.12528 

.01334 

.15726 

.01436 

.18810 

.01542 

.21785 

.01651 

56 

6 

.09262 

.01338 

.12582 

.01336 

.15779 

.01438 

.18860 

.01544 

.21834 

.01653 

54 

59. 

8+11 

8.09318 

0.01239 

8.12636 

0.01338 

8.15831 

0.01440 

8.18910  0.01546 

8.21883 

0.01655 

10 

.09374 

.01241 

.12691 

.01339 

.15883 

.01442 

.18961 

.01547 

.21932 

.01657 

50 

12+19> 

.09431 

.01343 

.12745 

.01341 

.15935 

.01443 

.19011 

.01549 

.21980 

.01659 

48 

14 

.09487 

.01344 

.12799 

.01343 

.15987 

.01445 

.190G2 

.01551 

.22029 

.01661 

46 

16+1^ 

8.09543 

0.01346 

8.12853 

0.01344 

8.16040 

0.01447 

8.19112 

0.01553 

8.22077 

0.01663 

44 

18 

.09600 

.01247 

.12907 

.01346 

.16092 

.01448 

.19162 

.01555 

.22126 

.01664 

4^. 

20+20 

.09656 

.01249 

.12961 

.01348 

.16144 

.01450 

.19212 

.01556 

.22175 

.01666 

40 

22 

.09712 

.01251 

.13015 

.01349 

.16196 

.01452 

.19263 
8.19313 

.01558 
0.01560 

.22223 

.01668 

38 
36 

24+21 

8.09768 

0.01252 

8.13069 

0.01351 

8.16248 

0.01454 

8.22272 

0.01670 

26 

.09824 

.01254 

.13123 

.01353 

.16300 

.01455 

.19363 

.01563 

.22320 

.01672 

34 

28+22 

.09880 

.01255 

.13177 

.01354 

.10352 

.01457 

.19413 

.01564 

.22368 

.01674 

39 

SO 

.09936 

.01357 

.13231 

.01356 

.16404 

.01459 

.19463 

.01565 

.22417 

.01676 

30 

5^+23 

8.09992 

0.01359 

8.13285 

0.01358  8.16456 

0.01461 

8.19513 

0.01567 

8.22465 

0.01677 

28 

34 

.10048 

.01360 

.13339 

.01360 

.10508 

.01463 

.19563 

.01509 

.22514 

.01679 

96 

36+U 

.10104 

.01262 

.13392 

.01361 

.16559 

.01464 

.19613 

.01571 

.22562 

.01681 

H 

38 

.10160 

.01264 

.13446 

.01363 

.16611 

.01466 

.19663 

.01573 

.22610 

.01683 

22 

40+25 

8.10216 

0.01265 

8.13500 

0.01365 

8.16603 

0.01468 

8.19713 

0.01574 

8.22658 

0.01685 

90 

42 

.10271 

.01267 

.13554 

.01366 

.16715 

.01469 

.19763 

.01576 

.22707 

.01687 

18 

44+26 

.10327 

.01268 

.13607 

.01368 

.16766 

.01471 

.19813 

.01578 

.22755 

.01689 

16 

46 

.10383 

.01370 

.13661 

.01370 

.16818 

.01473 

.19863 

.01580 

.22803 

.01691 

14 

48+21 

8.10439 

0.01272 

8.13714 

0.01371 

8.16870 

0.01475 

8.19913 

0.01582 

8.22851 

0.01692 

1?. 

50 

.10494 

.01273 

.13768 

.01373 

.16921 

.01476 

.19963 

.01584 

.22899 

.01694 

10 

52+2% 

.10550 

.01375 

.13822 

.01375 

.16973 

.01478 

.20012 

.01585 

.22947 

.01696 

8 

54 
66+29 

.10605 

.01377 

.13875 

.01376 

.17024 
8.17076 

.01480 
0.01483 

.20062 
8.20112 

.01587 

.22996 

.01698 

6 
4 

8.10661 

0.01278 

8.13928 

0.01378 

0.01589 

8.23044 

0.01700 

58 

.10716 

.01280 

.13982 

.01380 

.17127 

.01483 

.20162 

.01591 

.23092 

.01702 

?. 

60+30 

8.10772 

0.01282 

8.14035 

0.01383 

8.17179 

0.01485 

8.20211 

0.01593 

8.23140 

0.01704 

0 

23h  S'"           1 

23^  6^           1 

23h  4"^           1 

foft  2™ 

fjft  0^          1 

Page  56]                  TABLE  IV. 

Haversines. 

s 

Ih  Om  15°  0' 

Ihlm  15°  15'      j  Ih  2m  15°  W 

IhSm  15°  4.5' 

lh4ml(i°0' 

s 

Log.  Ilav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
S 

8.23140 
.23164 
.23188 
.23212 

.01704 
.01705 
.01706 
.01707 

8.24567 
.24591 
.24614 
.24638 

.01761 
.01763 
.01763 
.01764 

8.25971 
.25994 
.26017 
.26040 

.01818 
.01819 
.01830 
.01831 

8.27352 
.27375 
.27398 
.27420 

.01877 

.01878 
.01879 
.01880 

8.28711 
.28734 
.28756 
.28779 

.01937 
.01938 
.01939 
.01940 

60 
59 
58 
57 

+     r 

5 
6 

7 

8.23235 
.23259 
.23283 
.23307 

.01707 
.01708 
.01709 
.01710 

8.24661 
.24685 
.24708 
.24732 

.01764 
.01765 
.01766 
.01767 

8.260G4 
.26087 
.26110 
.26133 

.01833 
.01823 
.01824 
.01825 

8.27443 
.27466 
.27489 
.27512 

.01881 

.01882 
.01883 

.01884 

8.28801 
.28823 
.28846 
.28868 

.01941 
.01942 
.01943 
.01944 

56 
55 
54 
53 

+   3^ 

9 

10 

11 

8.23331 
.23355 
,23379 
.23403 

.01711 
.01713 
.01713 
.01714 

8.24755 
.24779 
.24803 
.24826 

.01768 
.01769 
.01770 
.01771 

8.26156 
.26179 
.26203 
.26226 

.01826 
.01827 

.01828 
.01829 

8.27534 
.27557 
.27580 
.27603 

.01885 
.01886 
.01887 

.01888 

8.28891 
.28913 
.28936 
.28958 

.01945 
.01946 
.01947 
.01948 

52 
51 
50 
49 

+   3' 

13 

u 

15 

8.23427 
.23451 
.23475 
.23499 

.01715 
.01716 
.01717 
.01718 

8.24850 
.24873 
.24897 
.24920 

.01773 
.01773 
.01774 
.01775 

8.26249 
.26272 
.26295 
.26318 

.01830 
.01831 
.01832 
.01833 

8.27626 
.27648 
.27671 
.2-7694 

.01889 
.01890 
.01891 
.01892 

8.28980 
.29003 
.29025 
.29048 

.01949 
.01950 
.01951 
.01952 

48 
47 
46 
45 

+   4' 
17 
18 
19 

8.23523 
.23546 
.23570 
.23594 

.01719 
.01720 
.01731 
.01733 

8.24944 
.24967 
.24991 
.25014 

.01776 
.01777 
.01778 
.01779 

8.26341 
.26364 
.26388 
.26411 

.01834 
.01835 
.01836 
.01837 

8.27717 
.27739 
.27762 

.27785 

.01893 
.01894 
.01895 
.01896 

8.29070 
.29092 
.29115 
.29137 

.01953 
.01954 
.01955 
.01956 

U 
43 
42 
41 

+   5' 
21 

22 
23 

8.23618 
.23642 
.23666 
.23690 

.01733 
.01734 
.01734 
.01725 

8.25037 
.25061 
.25084 
.25108 

.01780 
.01781 
.01782 
.01783 

8.26434 
.26457 
.26480 
.26503 

.01838 
.01839 
.01840 
.01841 

8.27807 
.27830 
.27853 
.27876 

.01897 
.01898 
.01899 
.01900 

8.29159 
.29182 
.29204 
.29226 

.01957 
.01958 
.01959 
.01960 

40 
39 
38 
37 

+   6' 

25 

26 
27 

8.23713 
.23737 
.23761 
.23785 

.01736 
.01737 
.01738 
.01739 

8.25131 
.25155 
.25178 
.25202 

.01784 
.01785 
.01786 
.01787 

8.26526 
.26549 
.26572 
.26595 

.01842 
.01843 
.01844 
.01845 

8.27898 
.27921 
.27944 
.27966 

.01901 
.01902 
.01903 
.01904 

8.29249 
.29271 
.29293 
.29316 

.01961 
.01962 
.01963 
.01964 

36 
35 
34 
33 

+    r 

29 
SO 
31 

8.23809 
.23832 
.23856 
.23880 

.01730 
.01731 
.01733 
.01733 

8.25225 
.25248 
.25272 
.25295 

.01788 
.01789 
.01789 
.01790 

8.26618 
.26641 
.26664 
.26687 

.01846 
.01847 

.01848 
.01849 

8.27989 
.28012 
.28034 
.28057 

.01905 
.01906 
.01907 
.01908 

8.29338 
.29360 
.29383 
.29405 

.01965 
.01966 
.01967 
.01968 

32 
SI 
30 
29 

+       8' 

S3 
S4 
35 

8.23904 
.23928 
.23951 
.23975 

.01734 
.01735 
.01736 
.01737 

8.25319 
.25342 
.25365 
.25389 

,01791 
.01793 
.01793 
.01794 

8.26710 
.26733 
.26756 
.26779 

.01850 
.01851 
.01853 
.01853 

8.28080 
.28102 
.28125 
.28147 

.01909 
.01910 
.01911 
.01913 

8.29427 
.29449 
.29472 
.29494 

.01969 
.01970 
.01971 
.01972 

28 
27 
26 
25 

+       9^ 

S7 
S8 
39 

8.23999 
.24022 
.24046 
.24070 

.01738 
.01739 
.01740 
.01741 

8.25412 
.25435 
.25459 
.25482 

.01795 
.01796 
.01797 
.01798 

8.26802 
.26825 
.26848 
.26871 

.01854 
.01855 
.01856 
.01857 

8.28170 
.28193 
.28215 
.28238 

.01913 
.01914 
.01915 
.01916 

8.29516 
.29539 
.29561 
.29583 

.01973 
.01974 
.01975 
.01976 

24 
23 
22 
21 

+  W 

41 
42 
43 

8.24094 
.24118 
.24141 
.24165 

.01743 
.01743 
.01743 
.01744 

8.25505 
.25529 
.25552 
.25575 

.01799 
.01800 
.01801 
.01802 

8.26894 
.26917 
.26940 
.26963 

.01858 
.01859 
.01860 
.01861 

8.28260 
.28283 
.28306 
.28328 

.01917 
.01918 
.01919 
.01930 

8.29605 
.29628 
.29650 
.29672 

.01977 
.01978 
.01979 
.01980 

20 
19 
18 
17 
16 
15 
U 
13 

+  11' 

45 
46 

47 

8.24189 
.24212 
.24236 
.24260 

.01745 
.01746 
.01747 
.01748 

8.25599 
.25622 
.25645 
.25669 

.01863 
.01804 
.01805 
.01806 

8.26986 
.27009 
.27032 
.27055 

.01861 
.01862 
.01863 
.01864 

8.28351 
.28373 
.28396 
.28418 

.01931 
.01923 
.01923 
.01924 

8.29694 
.29716 
.29739 
.29761 

.01981 
.01982 
.01983 
.01984 

+  13' 

49 
50 
51 

8.24283 
.24307 
.24331 
.24354 

.01749 
.01750 
.01751 
.01752 

8.25692 
.25715 
.25738 
.25762 

.01807 

.01808 
.01809 
.01810 

8.27078 
.27100 
.27123 
.27146 

.01865 
.01866 
.01867 
.01868 

8.28441 
.28464 
.28486 
.28509 

.01925 
.01926 
.01927 
.01938 

8.29783 
.29805 
.29827 
.29850 

.01985 
.01986 
.01987 
.01988 

12 

11 

10 

9 

+  13' 

53 
64 
65 

8.24378 
.24402 
.24425 
.24449 

.01753 
.01754 
.01755 
.01756 

8.25785 
.25808 
.25831 
.25855 

.01811 
.01813 
.01813 
.01814 

8.27169 
.27192 
.27215 
.27238 

.01869 
.01870 
.01871 
.01872 

8.28531 
.28554 
.28576 
.28599 

.01939 
.01930 
.01931 
.01932 

8.29872 
.29894 
.29916 
.29938 

.01989 
.01990 
.01991 
.01992 

8 
7 
6 
5 

+  14' 

57 
58 
59 

8.24473 
.24496 
.24520 
.24543 

.01757 
.01758 
.01759 
.01760 

8.25878 
.25901 
.25924 
.25948 

.01815 
.01816 
.01817 
.01818 

8.27261 
.27283 
.27306 
.27329 

.01873 
.01874 
.01875 
.01876 

8.28621 
.28644 
.28666 
.28689 

.01933 
.01934 
.01935 
.01936 

8.29960 
.29982 
.30005 
.30027 

.01993 
.01994 
.01995 
.01997 

4 
S 
2 
1 

+     15' 

8.24567 

.01761 

8.25971 

.01818 

8.27352 

.01877 

8.28711 

.01937 

8.30049 

.01998 

0 

22h69^ 

22f^  58  m 

22^  57 m 

22^  56"> 

22  h  55^ 

TABLE  IV.                  [Page  57 

Haversines. 

s 

ik  5m  16°  15' 

Ih  6m  16°  30' 

ift7"»16°45' 

IhS^lTQ' 

Ih  9m  17°  15' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
S 

8.30049 
.30071 
.30093 
.30115 

.01998 
.01999 
.03000 
.03001 

8.31366 
.31388 
.31410 
.31431 

.03059 
.03060 
.03061 
.03063 

8.32663 
.32684 
.32706 
.32727 

.03131 
.03133 
.03124 
.03135 

8.33940 
.33962 
.33983 
.34004 

.03185 
.03186 
.03187 

.03188 

8.35199 

.35220 
.35241 
.35261 

.03349 
.03250 
.03351 
.03352 

60 
59 
68 
67 

+     r 

5 

6 
7 

8.30137 
.30159 
.30182 
.30204 

.03003 
.03003 
.03004 
.03005 

8.31453 
.31475 
.31497 
.31518 

.03063 
.03064 
.03065 
.03066 

8.32749 
.32770 
.32792 
.32813 

.03136 
.03137 
.03138 
.03139 

8.34025 
.34046 
.34067 
.34088 

.03189 
.03190 
.03191 
.03193 

8.35282 
.35303 
.35324 
.35345 

.03353 
.03254 
.02255 
.03357 

66 
65 
64 

63 

+   2' 

9 

10 

11 

8.30226 
.30248 
.30270 
.30292 

.02006 
.03007 
.03008 
.03009 

8.31540 
.31562 
.31584 
.31605 

.02067 
.03068 
.02069 
.03070 

8.32834 
.32856 
.32877 
.32899 

.03130 
.03131 
.03133 
.03133 

8.34109 
.34130 
.34152 
.34173 

.03193 
.03194 
.03195 
.03196 

8.35365 
.35386 
.35407 
.35428 

.03358 
.03359 
.03360 
.03361 

52 
61 
60 
49 
48' 
47 
46 
45 

+   3' 

IS 
14 
15 

8.30314 
.30336 
.30358 
.30380 

.03010 
.03011 
.03013 
.03013^ 

8.31627 
.31649 
.31670 
.31692 

.03071 
.03073 
.03074 
.03075 

8.32920 
.32941 
.32963 
.32984 

.03134 
.03135 
.03136 
.02137 

8.34194 
.34215 
.34236 
.34257 

.03198 
.03199 
.03300 
.03201 

8.35449 
.35469 
.35490 
.35511 

.03363 
.03363 
.03264 
.03365 

n 

18 
19 

8.30402 
.30424 
.30446 
.30468 

.03014 
.03015 
.03016 
.02017 

8.31714 
.31735 
.31757 
.31779 

.03076 
.03077 
.03078 
.03079 

8.33006 
.33027 
.33048 
.33070 

.03138 
.02139 
.02140 
.03141 

8.34278 
.34299 
.34320 
.34341 

.02203 
.03303 
.03304 

.02305 

8.35532 
.35552 
.35573 
.35594 

.02266 
.03367 
.03368 
.03370 

44 
43 
42 
41 

+   6' 
;25 

8.30490 
.30512 
.30534 
.30556 

.03018 
.03019 
.03030 
.03031 

8.31800 
.31822 
.31844 
.31865 

.03080 
.03081 
.03083 
.03083 

8.33091 
.33112 
.33134 
.33155 

.03143 
.03143 
.03145 
.03146 

8.34362 
.34383 
.34404 
.34425 

.03306 
.03307 
.03308 
.03309 

8.35614 
.35635 
.35656 
.35677 

.03371 
.03373 
.02273 
.02274 

40 

39 
38 
37 

+   6' 

25 
26 
27 

8.30578 
.30600 
.30622 
.30644 

.03033 
.03033 
.03034 
.03035 

8.31887 
.31909 
.31930 
.31952 

.03084 
.02085 
.02086 
.02087 

8.33176 
.33198 
.33219 
.33240 

.03147 
.03148 
.03149 
.03150 

8.34446 
.34467 
.34488 
.34509 

.02210 
,02211 
.02313 
.03314 

8.35697 
.35718 
.85739 
.35759 

.02275 
.02276 
.03377 
.03378 

36 
35 
34 
33 

+     r 

29 
SO 
SI 

8.30666 
.30688 
.30710 
.30732 

.03036 
.03037 
.03038 
.03039 

8.31974 
.31995 
.32017 
.32039 

.03088 
.02089 
.02090 
.02091 

8.33262 
.33283 
.33304 
.33325 

.03151 
.03153 
.03153 
.03154 

8.34530 
.34551 
.34572 
.34593 

.03315 
.02316 
.03317 
.03318 

8.35780 
.35801 
.35821 
.35842 

.03379 
.03380 
.03381 
.03383 

32 
31 
30 
29 

+       8' 
SS 
34 
35 

8.30754 
.30776 
.30798 
.30820 

.03030 
.03031 
.03033 
.03033 

8.32060 
.32082 
.32103 
.32125 

.02093 
.03093 
.03094 
.02095 

8.33347 
.33368 
.33389 
.33411 

.03155 
.03156 
.03157 
.03158 

8.34614 
.34635 
.34656 
.34677 

.03319 
.03330 
.02331 
.03333 

8.35863 
.35883 
.35904 
.35925 

.02384 
.03385 
.03386 
.03387 

28 
27 
26 
25 

24 
23 
22 
21 

+   9' 

37 
38 
39 

8.30842 
.30863 
.30885 
.30907 

.03034 
.03035 
.03036 
.02037 

8.32147 
.32168 
.32190 
.32211 

.03096 
.03097 
.02098 
.03099 

8.33432 
.33453 
.33474 
.33496 

.03159 
.03160 
.03161 
.03163 

8.34698 
.34719 
.34740 
.34761 

.03333 
.03334 
.03335 
.03236 

8.35945 
.35966 
.35987 
.36007 

.03388 
.03389 
.03390 
.03391 

+     W 

41 

42 
43 

8.30929 
.30951 
.30973 
.30995 

.03038 
.03039 
.03040 
.03043 

8.32233 
.32254 
.32276 
.32297 

.03101 
.03103 
.02103 
.02104 

8.33517 
.33538 
.33559 
.33580 

.03164 
.03165 
.03166 
.03167 

8.34782 
.34803 
.34823 
.34844 

.03337 
.03339 
.03330 
.02231 

8.36028 
.36048 
.36069 
.36090 

.03293 
.03393 
.03295 
.03396 

20 
19 
IS 
17 
16 
15 
14 
13 

+   ir 

45 
46 
47 

8.31017 
.31039 
.31060 
.31082 

.03043 
.03044 
.03045 
.03046 

8.32319 
.32341 
.32362 
.32384 

.02105 
.02106 
.02107 
.03108 

8.33602 
.33623 
.33644 
.33665 

.03168 
.03169 
.03170 
.03171 

8.34865 
.34886 
.34907 
.34928 

.03333 
.03333 
.03334 
.03335 

8.36110 
.36131 
.36151 
.36172 

.03397 
.03398 
.03399 
.03300 

+  13' 
49 
50 
51 

8.31104 
.31126 
.31148 
.31170 

.03047 
.03048 
.03049 
.02050 

8.32405 
.32427 
.32448 
.32470 

.03109 
.02110 
.02111 
.03113 

8.33686 
.33708 
.33729 
.33750 

.03173 
.03173 
.03174 
.02175 

8.34949 
.34970 
.34991 
.35011 

.03336 
.03337 
.03338 
.03339 

8.36193 
.36213 
.36234 
.36254 

.02301 
.03303 
.03303 
.03304 

12 

11 

10 

9 

+  13' 

53 
54 
55 

8.31192 
.31213 
.31235 
.31257 

.03051 
.03053 
.03053 
.03054 

8.32491 
.32513 
.32534 
.32556 

.03113 
.03114 
.02115 
.03116 

8.33771 
.33792 
.33814 
.33835 

.03176 
.03177 
.03178 
.03179 

8.35032 
.35053 
.35074 
.35095 

.03340 
.03341 
.03343 
.03344 

8.36275 
.36295 
.36316 
.36337 

.03305 
.03307 
.03308 
.03309 

8 
7 
6 

5 

4 
3 
2 

1 

+     U' 

57 
58 
59 

8.31279 
.31301 
.31322 
.31344 

.03055 
.03056 
.03057 
.03058 

8.32577 
.32599 
.32620 
.32642 

.03117 
.03118 
.03119 
.02130 

8.33856 
.33877 
.33898 
.33919 

.03181 
.02183 
.03183 
.03184 

8.35116 
.35137 
.35157 
.35178 

.03345 
.03346 
.03347 
.03348 

8.36357 
.36378 
.36398 
.36419 

.02310 
.02311 
.02313 
.03313 

+     15' 

8.31366 

.03059 

8.32663 

.03131 

8.33940 

.03185 

8.35199 

.03349 

8.36439 

.03314 

0 

22  h  54"' 

ff  A  5Sm 

22!^  52^ 

22^  5i™ 

22''-  50^ 

Page  58]                  TABLE  IV. 

Haversines. 

s 

jAio^nsr  1 

i/.  i/".  17°  45'  1 

JAi;?"»18°0' 

m3mlS°15' 

11^  14"^  18°  W   1 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 
2 
S 

8.36439 
.36460 
.36480 
.36501 

.03314 
.03316 
.03316 
.03317 

8.37662 
.37682 
.37702 
.37722 

.03380 
.03381 
.03383 
.03384 

8.38867 
.38886 
.38906 
.38926 

.03447 
.03448 
.03449 
.03451 

8.40055 
.40074 
.40094 
.40114 

.03515 
.03516 
.03517 
.03518 

8.41226 
.41246 
.41265 
.41284 

.03584 
.03686 
.03586 

.03587 

60 
59 
58 
67 

+  r 

5 
6 

7 

8.36521 
.36542 
.36562 
.36583 

.03319 
.03330 
.03331 
.03333 

8.37742 
.37763 
.37783 
.37803 

.03385 
.03386 
.03387 

.03388 

8.38946 
.38966 
.38986 
.39006 

.03453 
.03453 
.03454 
.03455 

8.40133 
.40153 
.40172 
.40192 

.03530 
.03531 
.03533 
.03533 

8.41304 
.41323 
.41343 
.41362 

.03588 
.03590 
.03591 
.03593 

66 
65 
64 
63 

+  r 

9 

10 

11 

8.36603 
.36624 
.36644 
.36665 

.03333 
.03334 
.03335 
.03336 

8.37823 
.37843 
.37864 

.37884 

.03389 
.03390 
.03391 
.03393 

8.39026 
.39046 
.39066 
.39086 

.03456 
.03457 
.03458 
.03460 

8.40212 
.40231 
.40251 
.40271 

.03534 
.03535 
.03536 

.03538 

8.41381 
.41401 
.41420 
.41439 

.03593 
.03594 
.03596 
.03597 

52 
51 
60 
49 

+   3' 

13 
14 
15 

8.36685 
.36706 
.36726 
.36746 

.03337 
.03338 
.03339 
.03331 
.03333 
.03333 
.03334 
.03335 

8.37904 
.37924 

■  .37944 
.37964 

.03394 
.03395 
.03396 
.03397 

8.39105 
.39125 
.39145 
.39165 

.03461 
.03463 
.03463 
.03464 

8.40290 
.40310 
.40329 
.40349 

.03539 
.03530 
.03531 
.03533 

8.41459 
.41478 
.41497 
.41517 

.03598 
.03699 
.03600 
.03601 

48 
47 
46 
45 

+   4' 
17 
18 
19 

8.36767 
.36787 
.36808 
.36828 

8.37985 
.38005 
.38025 
.38045 

.03398 
.03399 
.03400 
.03401 

8.39185 
.39205 
.39225 
.39245 

.03465 
.03466 
.03467 
.03469 

8.40369 
.40388 
.40408 
.40427 

.03533 
.03534 
.03536 
.03537 

8.41536 
.41555 
.41575 
.41594 

.03603 
.03603 
.03606 
.03606 

44 
43 
42 
41 

+   5' 

21 

22 
23 

8.36849 
.36869 
.36889 
.36910 

.03336 
.03337 
.03338 
.03339 

8.38065 
.38085 
.38105 
.38126 

.03403 
.03404 
.03405 
.03406 

8.39264 
.39284 
.39304 
.39324 

.03470 
.03471 
.03473 
.03473 

8.40447 
.40467 
.40486 
.40506 

.03538 
.03539 
.03540 
.03541 

8.41613 
.41632 
.41652 
.41671 

.03607 
.03608 
.03609 
.03610 

40 
39 
38 
37 

H-   6' 

25 
26 
27 

8.36930 
.36951 
.36971 
.36991 

.03340 
.03343 
.03343 
.03344 

8.38146 
.38166 
.38186 
.38206 

.03407 
.03408 
.03409 
.03410 

8.39344 
.39364 
.39384 
.39403 

.03474 
.03475 
.03476 
.03478 

8.40525 
.40545 
.40564 
.40584 

.03543 
.03544 
.03545 
.03546 

8.41690 
.41710 
.41729 
.41748 

.03613 
.03613 
.03614 
.03615 

36 
35 
34 
33 

+    r 

29 
SO 
31 

8.37012 
.37032 
.37053 
.37073 

.03345 
.03346 
.03347 
.03348 

8.38226 
.38246 
.38266 
.38286 

.03411 
.03413 
.03414 
.03415 

8.39423 
.39443 
.39463 
.39482 

.03479 
.03480 
.03481 
.03483 

8.40603 
.40623 
.40642 
.40662 

.03547 
.03548 
.03549 
.03550 

8.41767 
.41787 
.41806 
.41825 

.03616 
.03617 
.03619 
.03630 

32 
31 
30 
29 

+   8' 
33 
34 
35 

8.37093 
.37114 
.37134 
.37154 

.03349 
.03350 
.03351 
.03353 

8.38306 
.38326 
.38346 
.38367 

.03416 
.03417 
.03418 
.03419 

8.39502 
.39522 
.39542 
.39562 

.03483 
.03484 
.03486 
.03487 

8.40681 
.40701 
.40721 
.40740 

.03553 
.03553 
.03554 
.03555 

8.41845 
.41864 
.41883 
.41902 

.03631 
.03633 
.03633 
.03634 

28 
27 
26 
25 

24 
23 

22 
21 

+   9^ 

37 

38 
39 

8.37175 
.37195 
.37215 
.37236 

.03354 
.03355 
.03356 
.03357 

8.38387 
.38407 
.38427 

.38447 

.03430 
.03431 
.03433 
.03434 

8.39581 
.39601 
.39621 
.39641 

.03488 
.03489 
.03490 
.03491 

8.40760 
.40779 
.40799 
.40818 

.03656 
.03557 
.03559 
.03560 

8.41921 
.41941 
.41960 
.41979 

.03636 
.03637 
.03638 
.03639 

+  10' 

41 
42 
43 

8.37256 
.37276 
.37297 
.37317 

.03358 
.03359 
.03360 
.03361 

8.38467 
.38487 
.38507 
.38527 

.03436 
.03436 
.03437 
.03438 

8.39660 
.39680 
.39700 
.39720 

.03493 
.03493 
.03495 
.03496 

8.40837 
.40857 
.40876 
.40896 

.03561 
.03563 
.03663 
.03564 

8.41998 
.42018 
.42037 
.42056 

.03630 
.03631 
.03633 
.03834 

20 
19 
18 
17 

+     ir 

45 
46 
47 

8.37337 
.37358 
.37378 
.37398 

.03363 
.03364 
.03365 
.03366 
.03367 
.03368 
.03369 
.03370 

8.38547 
.38567 
.38587 
.38607 

.03439 
.03430 
.03431 
.03433 

8.39739 
.39759 
.39779 
.39799 

.03497 
.03498 
.03499 
.03500 

8.40915 
.40935 
.40954 
.40974 

.03565 
.03567 
.03568 
.03569 

8.42075 
.42095 
.42114 
.42133 

.03635 
.03636 
.03637 
.03638 

16 
15 
14 
13 
12 
11 
10 
9 

+  13' 

49 
50 
51 

8.37419 
.37439 
.37459 
.37479 

8.38627 
.38647 
.38667 
.38687 

.03434 
.03435 
.03436 
.03437 

8.39818 
.39838 
.39858 
.39877 

.03501 
.03503 
.03504 
.03505 

8.40993 
.41013 
.41032 
.41052 

.03570 
.03571 
.03673 
.03673 

8.42152 
.42171 
.42190 
.42210 

.03639 
.03641 
.03643 
.03643 

+  13' 

53 
54 
55 

8.37500 
.37520 
.37540 
.37560 

.03371 
.03373 
.03374 
.03375 

8.38707 
.38727 
.38747 
.38767 

.03438 
.03439 
.03440 
.03443 

8.39897 
.39917 
.39937 
.39956 

.03506 
.03507 
.03508 
.03509 

8.41071 
.41090 
.41110 
.41129 

.03575 
.03676 
.03677 
.03678 

8.42229 
.42248 
.42267 
.42286 

.03644 
.03645 
.03646 
.03648 

8 
7 
6 
5 

+  14' 

57 
55 
59 

8.37581 
.37601 
.37621 
.37641 

.03376 
.03377 
.03378 
.03379 

8.38787 
.38807 
.38827 
.38847 

.03443 
.03444 
.03445 
.03446 

8.39976 
.39996 
.40015 
.40035 

.03510 
.03513 
.03513 
.03514 

8.41149 
.41168 
.41187 
.41207 

.03679 
.03680 
.03683 
.03683 

8.42305 
.42324 
.42344 
.42363 

.03649 
.03650 
.03651 
.03653 

4 
3 

2 

1 

+  16' 

8.37662 

.03380 

8.38867 

.03447 

8.40055 

.03515 

8.41226 

.03684 

8.42382 

.03653 

0 

22^  49^ 

22 1^  4S^ 

22^  47m 

22k  46m 

22>^45m 

TABLE  IV.                   [Page  59 
Haversines. 

s 

iftJ5"»  18°  45'  1 

iniemi%°iy    1 

Ihnm  19°  15/ 

l^lSm  19°  30' 

Ih  19m  19°  45' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
S 

8.42382 
.42401 
.42420 
.42439 

.03653 
.02655 
.03656 
.03657 

8.43522 
.43541 
.43560 
.43578 

.03724 
.02725 
.02726 

.02738 

8.44647 
.44665 
.44684 
.44703 

.03796 
.03797 
.03798 
.03799 

8.45757 
.45775 
.45794 
.45812 

.02868 
.02869 
.02870 
.02871 

8.46852 
.46871 
.46889 
.46907 

.03941 
.03943 
.03944 
.02945 

60 
59 
58 
57 

+     r 

5 
6 

7 

8.42458 
.42477 
.42497 
.42516 

.02658 
.03659 
.03661 
.03663 

8.43597 
.43616 
.43635 
.43654 

.02729 
.03730 
.02731 
.02733 

8.44721 
.44740 
.44758 

.44777 

.02800 
.02803 
.03803 
.02804 

8.45830 
.45849 
.45867 
.45885 

.02873 
.02874 
.02875 
.02876 

8.46925 
.46943 
.46961 
.46979 

.02946 
.02947 
.02949 
.02950 

56 

55 
54 
53 

+       r 

9 

10 

11 

8.42535 
.42554 
.42573 
.42592 

.02663 
.03664 
.02665 
.02666 

8.43673 
.43692 
.43710 
.43729 

.02734 
.02735 
.02736 
.02737 

8.44796 
.44814 
.44833 
.44851 

.02805 
.02806 
.03808 
.03809 

8.45904 
.45922 
.45940 
.45959 

.02878 
.02879 
.02880 
.02881 

8.46998 
.47016 
.47034 
.47052 

.02951 
.02952 
.02954 
.02955 

52 
51 
50 
49 

+   3' 

IS 
14 
15 

8.42G11 
.42630 
.42649 
.42668 

.02668 
.02669 
.03670 
.03671 

8.43748 
.43767 
.43786 
.43805 

.02738 
.02739 
.02741 
.02743 

8.44870 
.44889 
.44907 
.44926 

.03810 
.02811 
.03813 
.02814 

8.45977 
.45995 
.46014 
.46032 

.02883 

.02884 
.02885 
.02886 

8.47070 
.47088 
.47106 
.47124 

.02956 
.02957 
.02958 
,02960 

48 
47 
46 

45 

+       4' 

17 
18 
19 

8.42687 
.42706 
.42725 
.42745 

.02673 
.02673 
.02675 
.02676 

8.43823 
.43842 
.43861 
.43880 

.03743 
.02744 
.02745 
.02747 

8.44944 
.44963 
.44981 
.45000 

.02815 
.02816 

,02817 

.03818 

8.46050 
.46069 
.46087 
.4G105 

.02887 
.02889 
.03890 
.02891 

8.47142 
.47160 
.47178 
.47197 

,02961 
,03962 
,03963 
,02965 

44 
43 
42 
41 

+   5' 
21 
22 
23 

8.42764 
.42783 
.42802 
.42821 

.02677 
.02678 
.02679 
.02680 

8.43899 
.43917 
.43936 
.43955 

.02748 
.02749 
.02750 
.02751 

8.45018 
.45037 
.45055 
.45074 

.02820 
.02821 
.02822 

.03823 

8.46124 
.46142 
.46160 
.46179 

.02893 
.02893 
.02895 
.02896 

8.47215 
.47233 
.47251 
.47269 

.03966 
.02967 
.02968 
.02970 

40 
39 
38 
37 

+       6' 

25 
26 
27 

8.42840 
.42859 
.42878 
.42897 

.02683 
.02683 
.03684 
.03685 

8.43974 
.43992 
.44011 
.44030 

.02753 
.03754 
.02755 
.02756 

8.45093 
.45111 
.45130 
.45148 

.02824 
.02826 
.02827 
.02828 

8.46197 
.46215 
.46233 
.46252 

.02897 
.03898 
.03900 
.02901 

8.47287 
.47305 
.47323 
.47341 

.02971 
.02972 
.02973 
.03974 

36 
35 
34 
33 

+     r 

29 
30 
31 

8.42916 
.42935 
.42954 
.42973 

.03686 
.03688 
.03689 
.02690 

8.44049 
.44067 
.44086 
.44105 

.02757 
.02759 
.02760 
.02761 

8.45167 
.45185 
.45204 
.45222 

.02829 
.02830 
.02833 
.03833 

8.46270 
.46288 
.46306 
.46325 

.02902 
.02903 
.02904 
.02906 

8.47359 
.47377 
.47395 
.47413 

.03976 
.03977 
.03978 
.02979 

32 
31 
SO 
29 

+   8' 
33 
84 
35 

8.42992 
.43011 
.43030 
.43049 

.02691 
.02693 
.03693 
.03695 

8.44124 
.44142 
.44161 
.44180 

.02762 
.03763 
.03764 
.03766 

8.45241 
.45259 
.45278 
.45296 

.02834 
.02835 
.02836 
.02838 

8.46343 
.46361 
.46379 
.46398 

.02907 
.02908 
.02909 
,02911 

8.47431 
.47449 
.47467 
.47485 

.02981 
.02982 
.02983 
.02984 

28 
27 
26 
25 

+   9^ 

37 
38 
39 

8.43068 
.43087 
.43106 
.43125 

.02696 
.02697 
.02698 
.02699 

8.44199 
.44217 
.44236 
.44255 

.03767 
.03768 
.03769 
.02771 

8.45315 
.45333 
.45352 
.45370 

.02839 
.02840 
.02841 
.02843 

8.46416 
.46434 
.46452 
.46471 

.02913 
.02913 
.02914 
.02915 

8.47503 
.47521 
.47539 
.47557 

.0298« 
,02987 
,02988 
,02989 

24 

23 
22 
21 

+    ir 

41 
42 
43 

8.43144 
.43163 
.43181 
.43200 

.02700 
.03703 
.02703 
.02704 

8.44273 
.44292 
.44311 
.44330 

.02772 
.02773 
.02774 
.03775 

8.45388 
.45407 
.45425 
.45444 

.02844 
.02845 
.02846 
.02847 

8.46489 
.46507 
.46525 
.46544 

.02917 
.02918 
.02919 
.02920 

8.47575 
.47593 
.47611 
.47629 

.02991 
.02993 
.03993 
.03994 

20 
19 
18 
17 

+  11' 

45 
46 
47 

8.43219 
.43238 
.43257 
.43276 

.02705 
.02706 
.02708 
.02709 

8.44348 
.44367 
.44386 
.44404 

.03776 
.03778 
.03779 
.02780 

8.45462 
.45481 
.45499 
.45518 

.02849 
.02850 
.02851 
.02852 

8.46562 
.46580 
.46598 
.46616 

.02922 
.02923 
.02924 
.02925 

8.47647 
.47665 
.47683 
.47701 

.03996 
.03997 
.03998 
.02999 

16 
15 
14 
IS 

+  13' 

49 
50 
51 

8.43295 
.43314 
.43333 
.43352 

.02710 
.02711 
.02713 
.02713 

8.44423 
.44442 
.44460 
.44479 

.02781 
.02782 
.02784 
.02785 

8.45536 
.45554 
.45573 
.45591 

.02853 
,02855 
.02856 
.02857 

8.46634 
.46653 
.46671 
.46689 

.02926 
,02928 
,02929 
.02930 

8.47719 
.47737 
.47755 
.47773 

.03000 
.03003 
.03093 
.03004 

12 

11 

■10 

9 

+  13' 

53 
54 
55 

8.43371 
.43390 
.43409 
.43427 

.02715 
.02716 
.02717 
.02718 

8.44498 
.44516 
.44535 
.44554 

.03786 
.02787 

.03788 
.03790 

8.45610 
.45628 
,45646 
.45665 

.02858 
.02859 
.02861 
.02862 

8.46707 
.46725 
.46744 
.46762 

.02931 
.02933 
.02934 
,02935 

8.47791 
.47809 

.47827 
.47844 

.03005 
.03007 
.03008 
.03009 

8 
7 
6 
5 

+  14' 

57 
58 
59 

8.43446 
.43465 
.43484 
.43503 

.02719 
.02721 
.02722 
.02723 

8.44572 
.44591 
.44610 
.44628 

.02791 
.02793 
.02793 
.03794 

8.45683 
.45702 
.45720 
.45738 

.02863 
.02864 
.02866 
.02867 

8.46780 
.46798 
.46816 
.46834 

,02936 
,02938 
,02939 
,02940 

8.47862 
.47880 
.47898 
.47916 

.03010 
.03013 
.03013 
.03014 

4 
3 
2 
1 

+  15' 

8.43522 

.03734 

8.44647 

.03796 

8.45757 

.02868 

8.46852 

,03941 

8.47934   .03015 

0 

221^  44"" 

22^43^ 

22J>'  42^ 

22h  41"* 

22J<'40^ 

Page  60]                  TABLE  IV. 

Haversines. 

s 

Ih  20m  30°  (y     1 

in2im2Q°W 

jh  ogm  20°  30^ 

1^23^20°  4:5' 

:?'i.M"'-31°0'  1 

s 

60 
59 
58 
57 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
3 

8.47934 
.47952 
.47970 
.47988 

.03015 
.03017 
.03018 
.03019 

8.49002 
.49020 
.49037 
.49055 

.03090 
.03093 
.03093 
.03091 

8.50056 
.50074 
.50091 
.50109 

.03166 
.03168 
.03169 
.03170 

8.51098 
.51115 
.51132 
.51150 

.03313 
.03315 
.03316 
.03317 

8.52127 
.52144 
.52161 
.52178 

.03331 
.03323 
.03331 
.03335 

+     r 

5 
6 
7 

8.48006 
.48024 
.48041 
.48059 

.03020 
.03033 
.03033 
.03031 

8.49073 
.49090 
.49108 
.49126 

.03095 
.03097 
.03098 
.03099 

8.50126 
.50144 
.50161 
.50179 

.03171 
.03173 
.03171 
.03175 

8.51167 
.51184 
.51201 
.51219 

.03318 
.03350 
.03251 
.03353 

8.52195 
.52212 
.52229 
.52246 

.03336 

.03338 
.03329 
.03330 

56 
55 
54 
53. 

+   3^ 

9 

10 

11 

8.48077 
.48095 
.48113 
.48131 

.03035 
.03037 
.03038 
.03039 

8.49143 
.49161 
.49179 
.49196 

.03101 
.03103 
.03103 
.03101 

8.50196 
.50214 
.50231 
.50248 

.03177 
.03178 
.03179 
.03180 

8.51236 
.51253 
.51270 

.51287 

.03351 
.03355 
.03356 
.03357 

8.52263 
.52280 
.52297 
.52314 

.03331 
.03333 
.03331 
.03335 

52 
51 
50 
49 

+   3- 

13 
14 
15 

8.48149 
.48167 
.48184 
.48202 

.03030 
.03033 
.03033 
.03031 

8.49214 
.49232 
.49249 
.49267 

.03106 
.03107 
.03108 
.03109 

8.50266 
.50283 
.50301 
.50318 

.03183 
.03183 
.03181 
.03186 

8.51305 
.51322 
.51339 
.51356 

.03359 
.03360 
.03361 
.03363 

8.52331 
.52348 
.52365 
.52382 

.03337 
.03338 
.03339 
.03311 

48 
47 
46 
45 

n 

18 
19 

8.48220 
.48238 
.48256 
.48274 

.03035 
.03037 
.03038 
.03039 

8.49284 
.49302 
.49320 
.49337 

.03111 
.03113 
.03113 
.03111 

8.50335 
.50353 
.50370 
.50388 

.03187 
.03188 
.03189 
.03191 

8.51374 
.51391 
.51408 
.51425 

.03361 
.03365 
.03366 
.03368 

8.52399 
.52416 
.52433 
.52450 

.03313 
.03313 
.03314 
.03316 

U 
43 
42 
41 

+   6^ 
21 

22 
23 

8.48292 
.48309 
.48327 
.48345 

.03010 
.03013 
.03013 
.03011 

8.49355 
.49373 
.49390 
.49408 

.03116 
.03117 
.03118 
.03119 

8.50405 
.50422 
.50440 
.50457 

.03193 
.03193 
.03191 
.03196 

8.51442 
.51459 
.51477 
.51494 

.03369 
.03370 
.03373 
.03373 

8.52467 
.52484 
.52501 
.52518 

.03317 
.03348 
.03350 
.03351 

40 
39 
38 
37 

+   6^ 

25 
26 

27 

8.48363 
.48381 
.48399 
.48416 

.03015 
.03017 
,03018 
.03019 

8.49425 
.49443 
.49461 
.49478 

.03131 
.03133 
.03133 
.03135 

8.50475 
.50492 
.50509 
.50527 

.03197 
.03198 
.03300 
.03301 

8.51511 
.51528 
.51545 
.51562 

.03371 
.03375 
.03377 
.03378 

8.52535 
.52552 
.52569 
.52585 

.03353 
.03351 
.03355 
.03356 

36 
35 
34 
33 

+     r 

29 
SO 
31 

8.48434 
.48452 
.48470 
.48488 

.03050 
.03053 
.03053 
.03051 

8.49496 
.49513 
.49531 
.49548 

.03136 
.03137 
.03138 
.03130 

8.50544 
.50561 
.50579 
.50596 

.03303 
.03301 
.03305 
.03306 

8.51580 
.51597 
.51614 
.51631 

.03379 
.03381 
.03383 
.03383 

8.52602 
.52619 
.52636 
.52653 

.03358 
.03359 
.03360 
.03361 

32 
31 
30 
29 

+   8^ 
33 

34 
35 

8.48505 
.48523 
.48541 
.48559 

.03055 
.03057 
.03058 
.03059 

8.49566 
.49584 
.49601 
.49619 

.03131 
.03133 
.03133 
.03135 

8.50614 
.50631 
.50648 
.50666 

.03307 
.03309 
.03310 
.03311 

8.51648 
.51665 
.51682 
.51700 

.03385 
.03386 
.03387 
.03388 

8.52670 
.52687 
.52704 
.52721 

.03363 
.03361 
.03365 
.03367 

28 
27 
26 
25 

+  9^ 

37 
38 
39 

8.48576 
.48594 
.48612 
.48630 

.03060 
.03063 
.03063 
.03061 

8.49636 
.49654 
.49671 
.49689 

.03136 
.03137 
.03138 
.03110 

8.50683 
.50700 
.50718 
.50735 

.03313 
.03311 
.03315 
.03316 

8.51717 
.51734 
.51751 
.51768 

.03390 
.03391 
.03393 
.03391 

8.52738 
.52755 
.52772 
.52789 

.03368 
.03369 
.03371 
.03373 

24 
23 
22 
21 

+     W 

41 
42 
43 

8.48648 
.48665 
.48683 
.48701 

.03065 
.03067 
.03068 
.03069 

8.49706 
.49724 
.49742 
.49759 

.03111 
.03143 
.03111 
.03115 

8.50752 
.50770 
.50787 
.50804 

.03318 
.03319 
.03230 
.03331 

8.51785 
.51802 
.51819 
.51836 

.03395 
.03396 
.03398 
.03399 

8.52806 
.52822 
.52839 
.52856 

.03373 
.03375 
.03376 

.03377 

20 
19 
18 
17 

+    il' 

45 
46 
47 

8.48719 
.48736 
.48754 
.48772 

.03070 
.03073 
.03073 
.03071 

8.49777 
.49794 
.49812 
.49829 

.03116 
.03117 
.03119 
.03150 

8.50821 
.50839 
.50856 
.50873 

.03333 
.03331 
.03325 
.03337 

8.51854 
.51871 
.51888 
.51905 

.03300 
.03301 
.03303 
.03301 

8.52873 
.52890 
.52907 
.52924 

.03379 
.03380 
.03381 
.03383 

16 
15 
14 
13 

+  n' 

49 
50 
51 

8.48789 
.48807 
.48825 
.48843 

.03075 
.03077 
.03078 
.03079 

8.49847 
.49864 
.49882 
.49899 

.03151 
.03153 
.03151 
,03155 

8.50891 
.50908 
.50925 
.50943 

.03338 
.03239 
.03330 
.03333 

8.51922 
.51939 
.51956 
.51973 

.03305 
.03307 
.03308 
.03309 

8.52941 
.52958 
.52974 
.52991 

.03381 
.03385 
.03386 

.03388 

12 

11 

10 

9 

+     W 

53 
54 
55 

8.48860 
.48878 
.48896 
.48914 

.03080 
.03083 

.03083 
.03081 

8.49917 
.49934 
.49952 
.49969 

.03156 
.03157 
.03159 
.03160 

8.509G0 
.50977 
.50994 
.51012 

.03333 
.03331 
.03336 
.03337 

8.51990 
.52007 
.52024 
.52041 

.03311 
.03313 
.03313 
.03311 

8.53008 
.53025 
.53042 
.53059 

.03389 
.03390 
.03392 
.03393 

8 
7 
6 

5 

+     ir 

57 
58 
59 

8.48931 
.48949 
.48967 
.48984 

.03085 
.03087 
.03088 
.03089 

8.49987 
.50004 
.50022 
.50039 

.03161 
.03163 
.03161 
.03165 

8.51029 
.51046 
.51063 
.51081 

.03338 
.03339 
.03311 
.03313 

8.52058 
.52076 
.52093 
.52110 

.03316 
.03317 
.03318 
.03330 

8.53076 
.53092 
.53109 
.53126 

.03391 
.03396 
.03397 
.03398 

4 
3 

2 

1 

+     W 

8.49002 

.03090 

8.50056 

.03166 

8.51098 

.03313 

8.52127 

.03331 

8.53143 

.03100 

0 

22h  son, 

22^  38m 

22h  S7m 

22h  S6m 

22h  35m 

TABLE  IV. 

Haversinea. 

[Page  61 

s 

jh  25m  31°  15' 

Ih  26m  21°  30' 

Ihzim, 

21°  45' 

Ih  28m  23°  0' 

Ih  29m  23°  15' 

S 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

s 

8.53143 
.53160 
.53177 
.53193 

.03400 
.03401 
.03403 
.03404 

8.54147 
.54164 
.54180 
.54197 

.03479 
.03480 
.03483 
.03483 

8.55139 

.55156 
55172 
.55189 

.03560 
.03561 
.03563 
.03564 

8.56120 
.56136 
.56152 
.56169 

.03641 
.03642 
.03644 
.03645 

8.57089 
.57105 
.57121 
.57137 

.03733 
.03724 
.03726 
.03737 

60 
59 
58 
57 
66 
55 
54 
53 

+     r 

5 
6 
7 

8.53210 
.53227 
.53244 
.53261 

.03405 
.03106 
.0340S 
.03409 

8.54214 
.54230 
.54247 
.54263 

.03484 
.03486 
.03487 
.03488 

8.55205 
.55221 
55238 
.55254 

.03565 
.03566 
.03568 
.03569 

8.56185 
.56201 
.56217 
.56233 

.03646 
.03648 
.03649 
.03650 

8.57153 
.57169 
.57185 
.57201 

.03738 
.03730 
.03731 
.03733 

+       ^ 

9 

10 

11 

8.53277 
.53294 
.53311 
.53328 

.03410 
.03411 
.03413 
.03414 

8.54280 
.54297 
.54313 
.54330 

.03490 
.03491 
.03493 
.03494 

8.55271 
.55287 
.55303 
.55320 

.03570 
.03573 
.03573 
.03574 

8.56250 
.56266 
.56282 
.56298 

.03652 
.03653 
.03654 
.03656 

8.57217 
.57233 
.57230 
.57266 

.03734 
.03735 
.03737 
.03738 

52 
51 
50 
49 

+   3' 

IS 
14 
15 

8.53345 
.53361 
.53378 
.53395 

.03415 
.03417 
.03418 
.03419 

8.54346 
.54363 
.54380 
.54396 

.03495 
.03496 
.03498 
.03499 

8.55336 
.55353 
.55369 
.55385 

.03576 
.03577 
.03578 
.03580 

8.56315 
.56331 
.56347 
.56363 

.03657 
.03659 
.03660 
.03661 

8.57282 
.57298 
.57314 
.57330 

.03740 
.03741 
.03743 
.03744 

48 
47 
46 
45 

+       4' 
17 
18 
19 

8.53412 
.53429 
.53445 
.53462 

.03431 
.03423 
.03433 
.03435 

8.54413 
.54429 
.54446 
.54462 

.03500 
.03503 
.03503 
.03504 

8.55402 
.55418 
.55435 
.55451 

.03581 
.03583 
.03584 
.03585 

8.56379 
.56396 
.56412 
.56428 

.03663 
.03664 
.03665 
.03667 

8.57346 
.57362 
.57378 
.57394 

.03745 
.03746 
.03748 
.03749 

44 
43 
42 
41 

+       5' 
21 

23 

8.53479 
.53496 
.53512 
.53529 

.03436 
.03437 
.03439 
.03430 

8.54479 
.54496 
.54512 
.54529 

.03506 
.03507 
.03509 
.03510 

8.55467 
.55484 
.55500 
.55516 

.03587 
.03588 
.93589 
.03591 

8.56444 
.56460 
.56477 
.56493 

.03668 
.03669 
.03671 
.03673 

8.57410 
.57426 
.57442 
.57458 

.03751 
.03752 
.03753 
.03755 

40 
39 
38 
37 

+   6^ 

25 
26 
27 

8.53546 
.53563 
.53580 
.53596 

.03431 
.03433 
.03434 
.03435 

8.54545 

.54562 

.  .54578 

5.54595 

.03511 

.03513 

.03514 

.03515 

.  .03517 

;. 03518 

;  .03519 

-.03531 

8.55533 

<. 55549 

1.55566 

.55582 

.03593 
.03593 
.03595 
.03596 

8.56509 
.56525 
.56541 
.56557 

.03674 
.03675 
.03676 
.03678 

8.57474 
.57490 
.57506 
.57522 

.03756 
.03757 
.03759 
.03760 

36 
35 
34 
33 

+     r 

29 
SO 
31 

8.53613 

.'  .53630 

.53646 

.53663 

.03437 
.03438 
.03439 
.03441 

8.54612 

i. 54628 

)  .54645 

.54661 

8.55598 
.55615 
.55631 
.55647 

.03597 

r  .03599 

.03600 

.03601 

8.56574 
.56590 
.56606 
.56622 

.03679 
.03680 
.03682 
.03683 

8.57538 
.57554 
.57570 
.57585 

.03763 
.03763 
.03764 
.03766 

32 
31 
30 
29 

+   8' 
33 
34 

35 

8.53680 
.53697 
.53713 
.53730 

.03443 
.03443 
.03445 
.03446 

8.54678 
-.54694 
:. 54711 
'.54727 

.03533 
.03533 
'.03535 
.03536 

8.55664 
.55680 
.55696 
.55713 

.03603 
.03604 
.03605 
.03607 

8.56638 
.56654 
.56670 
.56687 

.03685 
.03686 
.03687 
.03689 

8.57601 
.57617 
.57633 
.57649 

.03767 
.03769 
.03770 
.03771 

28 
27 
26 

25 

+       r 

37 
38 
39 

8.53747 
.53764 
.53780 
.53797 

.03447 
.03449 
.03450 
.03451 

8.54744 

.  .54760 

.54777 

.54793 

.03537 
.03539 
.03530 
.03531 

8.55729 
.55745 
.55762 
.55778 

.03608 
.03610 
.03611 
.03613 
.03614 
.03615 
.03616 
.03618 

8.56703 
.56719 
.56735 
.56751 

.03680 
.03691 
.03693 
.03694 

8.57665 
.57681 
.57697 
.57713 

.03773 
.03774 
.03775 
.03777 

24 
23 
22 
21 

+     W 

41 
42 
43 

8.53814 
.53830 
.53847 
.53864 

.03453 
.03454 
.03455 
.03457 

8.54810 

.54826 

^.54843 

-.54859 

.03533 
.03534 
.03535 
.03537 

8.55794 
.55811 
.55827 
.55843 

8.56767 
.56783 
.56799 
.56816 

.03695 
.03697 
.03698 
.03700 

8.57729 
.57745 
.57761 

.57777 

.03778 
.03780 
.03781 
.03782 

20 
19 
18 
17 
16 
15 
14 
13 

+   ir 

45 
46 
47 

8.53880 
.53897 
.53914 
.53930 

.03458 
.03459 
.03460 
.03463 

8.54876 
.54892 

-.54909 
.54925 

.03538 
.03539 
.03541 
.03543 

8.55859 
.55876 
.55892 
.55908 

.03619 
.03630 
.03633 
.03633 

8.56832 
.56848 
.56864 
.56880 

.03701 
.03702 
.03704 
.03705 

8.57793 
.57809 
.57825 
.57841 

.03784 
.03785 

.03787 
.03788 

+     ir 

49 
50 
51 

8.53947 
.53964 
.53980 
.53997 

.03463 
.03464 
.03466 
.03467 

8.54942 
.54958 
.54975 
.54991 

.03543 
.03545 
.03346 
.03547 

8.55925 
55941 
.55957 
.55973 

.03634 
.03636 
.03637 
.03629 

8.56896 
.56912 
56928 
.56944 

.03706 
.03708 
.03709 
.03711 

8.57856 

.57872 
.57888 
.57904 

.03789 
.03791 
.03792 
.03794 

12 
11 
10 
9 
8 
7 
6 
5 

+     W 

53 
54 
55 

8.54014 
.54030 
.54047 
.45064 

.03468 
.03470 
.03471 
.03473 

8.55008 
.55024 
.55041 
.55057 

.03549 
.03550 
.03551 
.03553 

8.55990 
56006 
.56022 
.56039 

.03630 
.03631 
.03633 
.03634 

8.56960 
56977 
.56993 
.57009 

.03713 
.03713 
.03715 
.03716 

8.57920 
.57936 
57952 
.57968 

.03795 
.03796 
.03798 
.03799 

+     ir 

57 
58 
59 

8.54080 
.54097 
.54114 
.54130 

.03474 
.03475 
.03476 
.03478 

8.55073 
.55090 
.55106 
.55123 

8.55139 

.03554 
.03555 
.03557 
.03558 
.03560 

8.56055 
.56071 
.56087 
.56104 

.03635 
.03637 
.03638 
.03639 

8.57025 
.57041 
.57057 
.57073 

.03717 
.03719 
.03730 
.03733 
.03723 

8.57984 
.58000 
.58015 
.58031 

.03800 
.03802 
.03803 
.03805 

4 
3 

2 
1 
0 

+     15' 

8.54147 

.03479 

8.56120 

.03641 

8.57089 

8.58047 

.03806 

22^ 

34m 

22^ 

33m 

22^ 

32m 

22'^ 

3pn 

22h 

SOm 

Page  62] 

TABLE  IV. 

Haversines. 

s 

1AJ0™22°3(K  1 

Ih  Sim  22°  45' 

iA5^23°0'  1 

JA5.JW23°15' 

IhSpn 

23°  30' 

a 

1 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

s 

8.58047 
.58063 
.58079 
.58095 

.03806 
.03807 
.03809 
.03810 

8.58994 
.59010 
.59026 
.59042 

.03890 
.03891 
.03893 
.03894 

8.59931 
.59947 
.59962 
.59978 

.03975 
.03976 
.03978 
.03979 

8.60857 
.60873 
.60888 
.60903 

.04060 
.04062 
.04063 
.04065 

8.61773 
61789 
.61804 
.61819 

.04147 
.04148 
.04150 
.04151 

60 
59 
58 

57 

+     r 

5 
6 
7 

8.58111 
.58127 
.58142 
.58158 

.03813 
.03813 
.03814 
.03816 

8.59057 
.59073 
.59089 
.59104 

.03896 
.03897 
.03898 
.03900 

8.59993 
.60009 
.60024 
.60040 

.03980 
.03982 
.03983 
.03985 

8.60919 
.60934 
.60949 
.60965 

.04066 
.04068 
.04069 
.04070 

8.61834 
.61849 
.61864 
.61880 

.04153 
.04154 
.04156 
.04157 

56 

55 
54 
53 

+      ?/ 

9 

10 

11 

8.58174 
.58190 
.58206 
.58222 

.03817 
.03819 
.03830 
.03831 

8.59120 
.59136 
.59151 
.59167 

.03901 
.03903 
.03904 
.03905 

8.60055 
.60071 
.60086 
.60102 

.03986 
.03988 
.03989 
.03990 

8.60980 
.60995 
.61011 
.61026 

.04072 
.04073 
.04075 
.04076 

8.61895 
.61910 
.61925 
.61940 

.04159 
.04160 
.04163 
.04163 

52 
51 
50 
49 

+   3' 

IS 

u 

15 

8.58238 
.58253 
.58269 
.58285 

.03833 
.03834 
.03836 
.03837 

8.59183 
.59198 
.59214 
.59230 

.03907 
.03908 
.03910 
.03911 

8.60117 
.60133 
.60148 
.60164 

.03992 
.03993 
.03995 
.03996 

8.61041 
.61057 
.61072 
.61087 

.04078 
.04079 
.04081 
.04083 

8.61955 
.61971 
.61986 
.62001 

.04164 
.04166 
.04167 
.04169 

48 
47 
46 

45 

n 

18 
19 

8.58301 
.58317 
.58333 
.58348 

.03838 
.03830 
.03831 
.03833 

8.59245 
.59261 
.59277 
.59292 

.03912 
.03914 
.03915 
.03917 

8.60179 
.60195 
.60210 
.60226 

.03998 
.03999 
.04000 
.04002 

8.61103 
.61118 
.61133 
.61149 

.04083 
.04085 
.04086 

.04088 

8.62016 
.62031 
.62046 
.62061 

.04170 
.04172 
04173 
.04175 

44 
43 
42 
41 
40 
39 
38 
37 

■i 

+   6^ 

22  ■'■ 
2S 

8.58364 
.58380 
.68396 
.58412 

.03834 
.03835 
.03837 
.03838 

8.59308 
.59323 
.59339 
.59355 

.03918 
.03930 
.03931 
.03933 

8.60241 
.60256 
.60272 
.60287 

.04003 
.04005 
.04006 
.04007 

8.61164 
.61179 
.61194 
.61210 

.04089 
.04091 
.04093 
.04094 

8.62077 
.62092 
.62107 
.62122 

.04176 
.04177 
.04179 
.04180 

■- 

+       6' 

25 

26  '■■■ 

27  ^ 

8.58427 
.58443 
.58459 
.58475 

.03839 
.03841 
.03842 
.03844 

8.59370 
.59386 
.59402 
.59417 

.03934 
.03925 
.03927 
.03938 

8.60303 
.60318 
.60334 
.60349 

.04009 
.04010 
.04012 
.04013 

8.61225 
.61240 
.61256 
.61271 

.04095 
.04096 
.04098 
.04099 

8.62137 
.62152 
.62167 
.62182 

.04182 
.04183 
.04185 
.04186 

36 
35 
34 
33 
32 
31 
30 
29 

+    r 

29  . 

SO 

SI 

8.58491 
.58506 
.58522 
.58538 

.03845 
.03846 

.03848, 
.03849^ 

8.59433 
.59448 
.59464 

'.59480 

.03939 
^03931 
1.03932 
*. 03934 

8.60365 
.60380 
.60396 
.60411 

.04015 
.04016 
.04017 
.04019 

8.61286 
.61301 
.61317 
.61332 

.04101 
.04103 
.04104 
.04105 

8.62197 
.62213 
.62228 
.62243 

.04188 
.04189 
.04191 
.04192 

+       8^ 

ss 

34 
35 

8.58554 
.58570 
.58585 
.58601 

.03851 
.03853 
.03853 
.03855 

8.59495 
.59511 

■  .59527 
.59542 

.03935 

.03936 

*  .03938 

-.03939 

8.60426 
.60442 
.60457 

~  .60473 

.04020 
.04022 
.04023 
.04025 

8.61347 
.61362 
.61378 
.61393 

.04106 
.04108 
.04109 
.04111 

8.62258 
.62273 
.62288 
.62303 

.04194 
.04195 
.04196 
.04198 

28 
27 
26 
25 

+       9^ 

37 
38   , 

39 

8.58617 
.58633 
.58648 
.58664 

.03856 
.03858 
.03859 
.03860 

8.59558 
.59573 

-.59589 
.59604 

.03941 

.03943 

;  .03944 

.03945 

8.60488 
.60504 
.60519 
.60534 

.04026 
.04037 
.04039 
.04030 

8.61408 
.61423 
.61439 
.61454 

.04113 
.04114 
.04115 
.04117 

8.62318 
.62333 
.62348 
.62363 

.04199 
.04201 
.04202 
.04304 

24 

23 
22 
21 

1 

+  W 
41   - 

42 
43 

8.58680 
.58696 
.58711 
.58727 

.03863 
.03863 
.03865 
.03866 

8.59620 
.59636 
.59651 
.59667 

.03946 
i  .03948 
f. 03949 

.03951 

8.60550 
.60565 
.60581 
.60596 

.04033 
.04033 
.04035 
.04036 

8.61469 
.61484 
.61500 
.61515 

.04118 
.04119 
.04131 
.04132 

8.62379 
.62394 
.62409 
.62424 

.04305 
.04307 
.04208 
.04210 

20 
19 
18 
17 

+   ir 

45 
46 
47 

8.58743 
.58759 
.58774 
.58790 

.03867 
.03869 
.03870 
.03873 

8.59682 
.59698 
.59714 
.59729 

.03952 
.03953 
.03955 
.03956 

8.60611 
.60627 
.60642 
.60658 

.04038 
.04039 
.04040 
.04043 

8.61530 
.61545 
.61561 
.61576 

.04124 
.04125 
.04127 
.04128 

8.62439 
.62454 
.62469 
.62484 

.04211 
-04212 
.04214 
.04215 

16 
15 
14 
IS 

+  13' 

49 
50  i 
51 

8.58806 
.58822 
.58837 
.58853 

.03873 
.03875 
.03876 
.03877 

8.59745 
.59760 
.59776 
.59791 

.03958 
.03959 
.03961 
.03962 

8.60673 
.60688 
.60704 
.60719 

.04043 
.04045 
.04046 
.04048 

8.61591 
.61606 
.61621 
.61637 

.04130 
.04131 
.04133 
.04134 
.04135 
.04137 
.04138 
.04140 

8.62499 
.62514 
.62529 
.62544 

8.62559 
.62574 
.62589 
.62604 

.04217 
.04218 
.04220 
.04221 
.04223 
.04224 
.04226 
.04237 

12 
11 
10 
9 
8 
7 
6 
5 

+  13' 

53 
54 

55 

8.58869 
.58885 
.58900 
.58916 

.03879 
.03880 

.03883 
.03883 

8.59807 
.59822 
.59838 
.59853 

.03963 
.03965 
.03966 
.03968 

8.60734 
.60750 
.60765 
.60781 

.04049 
.04050 
.04053 
.04053 

8.61652 
.61667 
.61682 
.61697 

+  W 

57 
58 
59 

8.58932 
.58947 
.58963 
.58979 

.03884 
.03886 
.03887 
.03889 

8.59869 
.59885 
.59900 
.59916 

.03969 
.03971 
.03973 
.03973 

8.60796 
.60811 
.60827 
.60842 

.04055 
.04056 
.04058 
.04059 

8.61713 
.61728 
.61743 
.61758 

.04141 
.04143 
.04144 
.04146 

8.62619 
.62634 
.62649 
.62664 

.04229 
.04230 
.04232 
.04233 

4 

o 

2 
1 

+  15' 

8.58994 

.03890 

8.59931 

.03975 

8.60857 

.04060 

8.61773 

.04147 

8.62680 

.04234 

0 

m.  22^ 

29m 

•  22^  28m  ^4-:*' 

-'.'••■  f^^ 

27m 

M-  ^2^ 

26m  ^^^.1 

22^ 

25m 

TABLE  IV.                   [Page  63 
Haversines. 

s 

Jft55"»23°45'  1 

iA56m24°0' 

Ih  S7m  24°  15/ 

J?ft  55^24°  30' 

i'iJ9"»24°45' 

s 

60 
59 
58 

57 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
S 

8.62680 
.62695 
.62710 

.62725 

.04234 
.04236 
.04237 
.04239 

8.63576 
.63591 
.63606 
.63620 

.04323 
.04324 
.04326 
.04327 

8.64463 
.64477 
.64492 
.64507 

.04412 
.04413 
.04415 
.0441G 

8.65340 
.65355 
.65369 
.65384 

.04502 
.04503 
.04505 
.04506 

8.66208 
.66223 
.66237 
.66251 

.04593 
.04594 
.04596 
.04597 

+   1^ 

6 
6 

7 

8.62740 
.62755 
.62770 
.62785 

.04240 
.04242 
.04243 
.04245 

8.63635 
.63650 
.63665 
.63680 

.04329 
.04330 
.04332 
.04333 

8.64521 
.64536 
.64551 
.64565 

.04418 
.04419 
.04421 
.04422 

8.65398 
.65413 
.65427 
.65442 

.04508 
.04509 
.04511 
.04512 

8.66266 
.66280 
.66295 
.66309 

.04599 
.04600 
.04602 
.04604 

56 
55 

54 
53 

+      3' 

9 

10 

11 

8.62800 
.62815 
.62830 
.62845 

.04246 
.04248 
.04249 
.04251 

8.63695 
.63709 
.63724 
.63739 

.04335 
.04336 
.04338 
.04339 

8.64580 
.64595 
.64609 
.64624 

.04424 
.04425 
.04427 
.04428 

8.65456 
.65471 
.65485 
.65500 

.04514 
.04516 
.04517 
.04519 

8.66323 
.66338 
.66352 
.66366 

.04605 
.04607 
.04608 
.04610 

52 
51 
50 
49 

+   3^ 

IS 
14 
15 

8.62860 
.62875 
.62890 
.62904 

.04252 
.04253 
.04255 
.04256 

8.63754 
.63769 
.63784 
.63798 

.04340 
.04342 
.04343 
.04345 

8.64639 
.64653 
.64668 
.64683 

.04430 
.04431 
.04433 
.04434 

8.65514 
.65529 
.65543 
.65558 

.04520 
.04522 
.04523 
.04525 

8.66381 
.66395 
.66409 
.66424 

.04611 
.04613 
.04614 
.04616 

48 
47 
46 
45 

17 
18 
19 

8.62919 
.62934 
.62949 
.62964 

.04258 
.04259 
.04261 
.04262 

8.63813 
.63828 
.63843 
.63858 

.04346 
.04348 
.04349 
.04351 

8.64697 
.64712 
.64727 
.64741 

.04436 
.04437 
.04439 
.04440 

8.65572 
.65587 
.65601 
.65616 

.04526 
.04528 
.04529 
.04531 

8.66438 
.66453 
.66467 
.66481 

.04617 
.04619 
.04620 
.04622 

44 
43 
42 
41 

+   5' 

21 
22 
23 

8.62979 
.62994 
.63009 
.63024 

.04264 
.04265 
.04267 
.04268 

8.63872 
.63887 
.63902 
.63917 

.04352 
.04354 
.04355 
.04357 

8.64756 
.64771 
.64785 
.64800 

.04442 
.04443 
.04445 
.04446 

8.65630 
.65645 
.65659 
.65674 

.04532 
.04534 
.04535 
.04537 

8.66496 
.66510 
.66524 
.66539 

.04623 
.04625 
.04626 
.04628 

40 
39 
38 
37 
36 
35 
34 
33 

+       6^ 

25 
26 

27 

8.63039 
.63054 
.63069 
.63084 

.04270 
.04271 
.04273 
.04274 

8.63932 
.63946 
.63961 
.63976 

.04358 
.04360 
.04361 
.04363 

8.64815 
.64829 
.64844 
.64859 

.04448 
.04449 
.04451 
.04452 

8.65688 
.65703 
.65717 
.65732 

.04538 
.04540 
.04541 
.04543 

8.66553 
.66567 
.66582 
.66596 

.04629 
.04631 
.04633 
.04634 

+     r 

29 

30 
31 

8.63099 
.63114 
.63129 
.63144 

.04276 
.04277 
.04278 
.04280 

8.63991 
.64006 
.64020 
.64035 

.04364 
.04366 
.04367 
.04369 

8.64873 
.64888 
.64902 
.64917 

.04454 
.04455 
.04457 
.04458 

8.65746 
.65761 
.65775 
.65790 

.04544 
.04546 
.04547 
.04549 

8.66610 
.66625 
.66639 
.66653 

.04636 
.04637 
.04639 
.04640 

32 
31 
30 
29 

+      8' 
33 
34 
35 

8.63159 
.63174 
.63189 
.63204 

.04281 
.04283 
.04284 
.04286 

8.64050 
.64065 
.64079 
.64094 

.04370 
.04372 
.04373 
.04375 

8.64932 
.64946 
.64961 
.64976 

.04460 
.04461 
.04463 
.04464 

8.65804 
.65819 
.65833 
.65848 

.04550 
.04552 
.04553 
.04555 

8.66668 
.66682 
.66696 
.66710 

.04642 
.04643 
.04645 
.04646 

28 
27 
26 
25 

+       9" 

37 
38 
39 

8.63218 
.63233 
.63248 
.63263 

.04287 
.04289 
.04290 
.04292 

8.64109 
.64124 
.64139 
.64153 

.04376 
.04378 
.04379 
.04381 

8.64990 
.65005 
.65019 
.65034 

.04466 
.04467 
.04469 
.04470 

8.65862 
.65876 
.65891 
.65905 

.04556 
.04558 
.04559 
.04561 

8.66725 
.66739 
.66753 
.66768 

.04648 
.04649 
.04651 
.04652 

24 
23 
22 
21 

+  10' 

41 
42 

43 

8.63278 
.63293 
.63308 
.63323 

.04293 
.04295 
.04296 
.04298 

8.64168 
.64183 
.64198 
.64212 

.04382 
.04384 
.04385 
.04387 

8.65049 
.65063 
.65078 
.65092 

.04472 
.04473 
.04475 
.04476 

8.65920 
.65934 
.65949 
.65963 

.04562 
.04564 
.04565 
.04567 

8.66782 
.66796 
.66811 
.66825 

.04654 
.04655 
.04657 
.04659 

20 
19 
18 
17 

+   u^ 

45 
46 
47 

8.63338 
.63353 
.63368 
.63382 

.04299 
.04301 
.04302 
.04304 

8.64227 
.64242 
.64257 
.64271 

.04388 
.04390 
.04391 
.04393 

8.65107 
.65122 
.65136 
.65151 

.04478 
.04479 
.04481 
.04482 

8.65978 
.65992 
.66006 
.66021 

.04569 
.04570 
.04572 
.04573 

8.66839 
.66853 
.66868 
.66882 

.04660 
.04662 
.04663 
.04665 

16 
15 
14 
13 

+    ir 

49 
50 
51 

8.63397 
.63412 
.63427 
.63442 

.04305 
.04306 
.04308 
.04309 

8.64286 
.64301 
.64315 
.64330 

.04394 
.04395 
.04397 
.04398 

8.65165 
.65180 
.65194 
.65209 

.04484 
.04485 
.04487 
.04488 

8.66035 
.66050 
.66064 
.66079 

.04575 
.04576 
.04578 
.04579 

8.66896 
.66911 
.66925 
.66939 

.04666 
.04668 
.04669 
.04671 

12 
11 
10 
9 
8 
7 
6 
5 

+  13' 

53 
54 
55 

8.63457 
.63472 
.63487 
.63502 

.04311 
.04312 
.04314 
.04315 

8.64345 
.64360 
.64374 
.64389 

.04400 
.04401 
.04403 
.04404 

8.65224 
.65238 
.65253 
.65267 

.04490 
.04491 
.04493 
.04494 

8.66093 
.66107 
.66122 
.66136 

.04581 
.04582 
.04584 
.04585 

8.66953 
.66968 
.66982 
.66996 

.04672 
.04674 
.04675 
.04677 

+  W 

57 
58 
59 

8.63516 
.63531 
.63546 
.63561 

.04317 
.04318 
.04320 
.04321 

8.64404 
.64418 
.64433 
.64448 

.04405 
.04407 
.04409 
.04410 

8.65282 
.65296 
.65311 
.65325 

.04496 
.04497 
.04499 
.04500 

8.66151 
.66165 
.66179 
.66194 

.04587 
.04588 
.04590 
.04591 

8.67010 
.67025 
.67039 
.67053 

.04678 
.04680 
.04682 
.04683 

4 
3 
2 
1 

+  15' 

8.63576 

.04323 

8.64463 

.04412 

8.65340 

.04502 

8.66208 

.04593 

8.67067 

.04685 

0 

22'h'  24"* 

22h  2 3m 

22^  22^ 

22h  21m 

22  f^  20"* 

_ 

Page  64] 

TABLE  IV. 
Haversines. 

B 

jh  40mZ5°B'     1 

Ih^im 

35°  15' 

lh42m 

85°  30' 

Ih4,3m25°i5'    | 

Ih  ^m 

26°  r 

s 

Log.  nav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 

1 

2 
3 

8.67067 
J67082 

'  .67096 
.67110 

.046S5 
.04686 
.04688 
.04689 

8.67918 
.67932 
.67946 
.67960 

.04777 
.04779 
.047S0 
.04782 

8.68760 
.68773 
.68787 
.68801 

.04871 
.04872 
.04874 
.04875 

8.69593 
.69607 
.69620 
.69634 

.04965 
.04967 
.04908 
.04970 

8.70418 
.70431 
.70445 
.70459 

.05060 
.05062 
.05063 
.05065 

60 
59 
58 
57 

+    r 

5 
6 

7 

8.67124 
.67139 
.67153 
.67167 

.04691 
.04693 
.04694 
.04695 

8.67974 
.67988 
.68002 
.68016 

.04783 
.04785 
.04787 

.04788 

8.68815 
.68829 
.68843 
.68857 

.04877 
.04879 
.04880 
.04882 

8.69648 
.69662 
.69676 
.69690 

.04971 
.04973 
.04975 
.04976 

8.70472 
.70486 
.70500 
.70513 

.05067 
.05068 
.05070 
.05071 

56 
55 
54 
53 

+  ^ 

9 

10 

11 

8.67181 
.67196 
.67210 
.67224 

.04697 
.04698 
.04700 
.04702 

8.68030 
.68045 
.68059 
.68073 

.04790 
.04791 
.04793 
.04794 

8.68871 
.68885 
.68899 
.68913 

.04883 
.04885 
.04886 

.04888 

8.69703 
.69717 
.69731 
.69745 

.04978 
.04979 
.04981 
.04983 

8.70527 
.70541 
.70554 
.70568 

.05073 
.05075 
.05076 
.05078 

52 
51 
50 
49 

+   3' 

IS 

14 
15 

8.67238 
.67252 
.67267 
.67281 

.04703 
.04705 
.04706 
.04708 

8.68087 
.68101 
.68115 
.68129 

.04796 
.04797 
.04799 
.04801 

8.68927 
.68941 
.68955 
.68969 

.04890 
.04891 
.04893 
.04894 

8.69758 
.69772 
.69786 
.69800 

.04984 
.04986 
.04987 
.04989 

8.70582 
.70595 
.70609 
.70623 

.05079 
.05081 
.05083 
.05084 

48 
47 
46 

45 

44 
43 
42 
41 

+   4' 

n 

18 
19 

8.67295 
.67309 
.67323 
.67338 

.04709 
.04711 
.04712 
.04714 

8.68143 
.68157 
.68171 
.68185 

.04802 
.04804 
.04805 
.04807 

8.68983 
.68996 
.69010 
.69024 

.04896 
.04897 
.04899 
.04901 

8.69814 
.69827 
.69841 
.69855 

.04990 
.04992 
.04994 
.04995 

8.70636 
.70650 
.70664 
.70677 

.05086 
.05087 
.05089 
.05091 

+   5' 

21 

22 
23 

8.67352 
.67366 
.67380 
.67394 

.04715 
.04717 
.04718 
.04720 

8.68199 
.68213 
.68227 
.68241 

.04808 
.04810 
.04811 
.04813 

8.69038 
.69052 
.69066 
.69080 

.04902 
.04904 
.04905 
.04907 

8.69869 
.69882 
.69896 
.69910 

.04997 
.04998 
.05000 
.05001 

8.70691 
.70704 
.70718 
.70732 

.05092 
.05094 
.05095 
.05097 

40 
39 
38 
37 

+     r 

25 
26 
27 

8.67409 
.67423 
.67437 
.67451 

.04722 
.04723 
.04725 
.04726 

8.68256 
.68270 
.68284 
.68298 

.04815 
.04816 
.04818 
.04819 

8.69094 
.69108 
.69122 
.69136 

.04908 
.04910 
.04912 
.04913 

8.69924 
.69937 
.69951 
.69965 

.05003 
.05005 
.05006 
.05008 

8.70745 
.70759 
.70773 
.70786 

.05099 
.05100 
.05102 
.05104 

36 
35 
34 
33 

32 
3^1 
30 
29 
28 
27 
26 
25 

+     r 

29 
30 
31 

8.67465 
.67480 
.67494 
.67508 

.04728 
.04729 
.04731 
.04732 

8.68312 
.68326 
.68340 
.68354 

.04821 
.04823 
.04824 
.04825 

8.69149 
.69163' 
.69177 
.69191 

.04915 
.04916 
.04918 
.04919 

8.69979 
.69992 
.70006 
.70020 

.05009 

, .05011 

.05013 

.05014 

8.70800 

*.70813 

*' .70827 

.70841 

.05105 
.05107 
.05108 
.05110 

+       8' 
33 
34 
35 

8.67522 
.67536 
.67550 
.67565 

.047»4 
.04735 
.04737 
.04739 

8.68368 
.68382 
.68396 
.68410 

.04827 
.04839 
.04830 

.04832 

8.69205 
.69219 
.69233 
.69247 

.04921 
.04923 
.04934 
.04926 

8.70034 
.70047 
.70061 
.70075 

.05016 
.05017 
.05019 
.05031 

8.70854 
.70868 
.70881 
.70895 

.05111 
.05113 
.05115 
.05116 

+   9^ 

57 
38 
39 

8.67579 
.67593 
.67607 
.67621 

.04740 
.04743 
.04743 
.04745 

8.68424 
.68438 
.68452 
.68466 

.04833 
.04835 
.04836 
.04838 

8.69260 
.69274 
.69288 
.69302 

.04937 
.04929 
.04930 
.04932 

8.70089 
.70102 
.70116 
.70130 

.05033 
.05034 
.05035 
.05037 

8.70909 
.70922 
.70936 
.70949 

.05118 
.05119 
.05121 
.05133 

24 
23 
22 
21 

+  UK 

42 
43 

8.67635 
.67649 
.67664 
.67678 

.04746 
.04748 
.04749 
.04751 

8.68480 
.68494 
.68508 
.68522 

.04839 
.04841 
.04843 
.04844 

8.69316 
.69330 
.69344 
.69358 

.04934 
.04935 
.04937 
.04938 

8.70144 
.70157 
.70171 
.70185 

.05028 
.05030 
.05032 
.05033 

8.70963 
.70977 
.70990 
.71004 

.05134 
.05126 
.05127 
.05129 

20 
19 
18 
17 

+     11' 

45 
46 

47 

8.67692 
.67706 
.67720 
.67734 

.04752 
.04754 
.04756 
.04757 

8.68536 
.68550 
.68564 
.68578 

.04846 
.04847 
.04849 
.04850 

8.69371 
.69385 
.69399 
.69413 

.04940 
.04941 
.04943 
.04945 

8.70198 
.70212 
.70226 
.70240 

.05035 
.05036 
.05038 
.05040 

8.71017 
.71031 
.71045 
.71058 

.05131 
.05133 
.05134 
.05135 

16 
15 
U 
IS 

+     12' 

■49 
50 
51 

8.67748 
.67763 
.67777 
.67791 

.04759 
.04760 
.04762 
.04763 

8.68592 
.68606 
.68620 
.68634 

.04852 
.04854 
.04855 
.04857 

8.69427 
.69441 
.69454 
.69468 

.04946 
.04948 
.04949 
.04951 

8.70253 
.70267 

..70281 
.70294 

.05041 
.05043 
.05044 
,05046 

8.71072 
.71085 
.71099 
.71112 

.05137 
.05139 
.05140 
.05143 

12 

11 

10 

9 

+     13' 

55 
54 
55 

8.67805 
.67819 
.67833 
.67847 

.04765 
.04766 
.04768 
.04769 

8.68648 
.68662 
.68676 
.68690 

.04858 
.04860 
.04861 
.04863 

8.69482 
.69496 
.69510 
.69524 

.04953 
.04954 
.04956 
.04957 

8.70308 
.70322 
.70336 
.70349 

.05048 
.05049 
.05051 
.05052 

8.71126 
.71140 
.71153 
.71167 

.05144 
.05145 
.05147 
.05148 

8 
7 
6 
5 

+     U' 

57 
58 
59 

8.67861 
.67875 
.67890 
.67904 

.04771 
.04773 
.04774 
.04776 

8.68704 
.68718 
.68732 
.68746 

.04864 
.04866 
.04868 
.04869 

8.69537 
.69551 
.69565 
.69579 

.04959 
.04960 
.04963 
.04964 

8.70363 
.70377 
.70390 
.70404 

.05054 
.05055 
.05057 
.05059 

8.71180 
.71194 
.71207 
.71221 

.05150 
.05153 
.05153 
.05155 

4 
3 

2 
1 

+     15' 

8.67918 

.04777 

8.68760 

.04871 

8.69593 

.04966 

8.70418 

.05080 

8.71234 

.05156 

0 

22^ 

igm 

22^ 

ISm 

22^ 

nm 

2S^ 

l&m 

22h  ISm 

TABLE  IV.                  [Page  65 
^Haversines. 

s 

lh45m  36°  15' 

1^  46rn  26°  SC 

Ih  47m  36°  45' 

Ih  48m  2V  C  - 

Ih  49m  370  15/ 

s 

Log.  Hav. 

Nat.  Hav 

Log.  Hav 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 
2 
S 

S.71234 
.71248 
.71261 
.71275 

.05156 
.05158 
.05160 
.05161 

8.72043 
.72057 
.72070 
.72083 

.05253 
.05255 
.05257 
.05358 

8.72844 
.72857 

.72871 
.72884 

.05351 
.05353 
.05354 
.05356 

8.73637 
.73650 
.73663 
.73677 

.05450 
.05451 
.05453 
.05455 

8.74423 
.74436 
.74449 
.74462 

.05549 
.05551 
.05552 
.05554 

60 
59 
58 
51 

+     r 

5 
6 

1 

8.71289 
.71302 
.71316 
.71329 

.05163 
.05164 
.05166 
.05168 

8.72097 
.72110 
.72124 
.72137 

.05360 
.05261 
.05263 
.05265 

8.72897 
.72910 
.72924 
.72937 

.05358 
.05359 
.05301 
.05363 

8.73690 
.73703 
.73716 
.73729 

.05456 
.05458 
.05460 
.05461 

8.74475 
.74488 
.74501 
.74514 

.05556 
.05557 
.05559 
.05561 

56 
55 
54 
53 

+   3' 

9 

10 

11 

8.71343 
.71356 
.71370 

.71383 

.05169 
.05171 
.05173 
.05174 

8.72150 
.72164 
.72177 
.72191 

.05266 
.05368 
.05370 
.05271 

8.72950 
.72963 
.72977 
.72990 

.05364 
.05366 
.05367 
.05369 

8.73742 
.73755 
.73769 
.73782 

.05463 
.05464 
.05466 
.05468 

8.74527 
.74540 
.74553 
.74566 

.05562 
.05564 
.05566 
.05567 

52 
51 
50 
49 
48 
41 
46 
45 

44 
43 
42 
41 

+      3' 

13 
14 
15 

8.71397 
.71410 
.71424 
.71437 

.05176 
.05177 
.05179 
.05181 

8.72204 
.72217 
.72231 
.72244 

.05273 
.05274 
.05276 
.05278 

8.73003 
.73016 
.73030 
.73043 

.05371 
.05373 
.05374 
.05376 

8.73795 
.73808 
.73821 
.73834 

.05470 
.05471 
.05473 
.05474 

8.74579 
.74592 
.74605 
.74618 

.05569 
.05571 
.05573 
.05574 

+   4' 
17 
18 
19 

8.71451 
.71464 
.71478 
.71491 

.05182 
.05184 
.05185 
.05187 

8.72257 
.72271 
.72284 
.72298 

.05279 
.05281 
.05283 
.05284 

8.73056 
.73069 
.73083 
.73096 

.05377 
.05379 
.05381 
.05383 

8.73847 
.73860 
.73874 
.73887 

.05476 
.05478 
.05479 
.05481 

8.74631 
.74644 
.74657 
.74670 

.05576 
.05577 
.05579 
.05581 

+       5' 
21 

22 
23 

8.71505 
.71518 
.71532 
.71545 

.05189 
.05190 
.05193 
.05193 

8.72311 
.72324 
.72338 
.72351 

.05386 
.05287 
.05289 
.05291 

8.73109 
.73122 
.73136 
.73149 

.05384 
.05385 
.05387 
.05389 

8.73900 
.73913 
.73926 
.73939 

.05483 
.05484 
.05486 
.05488 

8.74683 
.74696 
.74709 
.74722 

.05582 
.05584 
.05586 
.05587 

40 
39 
38 
31 

+       6' 

25 
26 
21 

8.71559 
.71572 
.71586 
.71599 

.05195 
.05197 
.05198 
.05200 

8.72364 
.72378 
.72391 
.72404 

.05393 
.05394 
.05296 
.05297 

8.73162 
.73175 
.73189 
.73202 

.05390 
.05392 
.05394 
.05395 

8.73952 
.73965 
.73978 
.73992 

.05489 
.05491 
.05493 
.05494 

8.74735 
.74748 
.74761 

.74774 

.05589 
.05591 
.05593 
.05594 

36 
35 
34 
33 

+    r 

29 
SO 
31 

8.71613 
.71626 
.71640 
.71653 

.05201 
.05203 
.05205 
.05206 

8.72418 
.72431 

.72445 
.72458 

.05299 
.05300 
.05302 
.05304 

8.73215 
.73228 
.73241 
.73255 

.05397 
.05399 
.05400 
.05402 

8.74005 
.74018 
.74031 
.74044 

.05496 
.05498 
.05499 
.05501 

8.74787 
.74800 
.74813 
.74826 

.05596 
.05597 
.05599 
.05601 

32 
31 
30 
29 

+       8' 
S3 
34 
35 

8.71667 
.71680 
.71694 
.71707 

.05208 
.05210 
.05211 
.05213 

8.72471 
.72485 
.72498 
.72511 

.05305 
.05307 
.05309 
.05310 

8.73268 
.73281 
.73294 
.73308 

.05404 
.05405 
.05407 
.05408 

8.74057 
.74070 
.74083 
.74096 

.05503 
.05504 
.05506 
.05508 

8.74839 
.74852 
.74864 
.74877 

.05603 
.05604 
.05606 
.05607 

28 
21 
26 

25 

+       9^ 

31 
38 
39 

8.71721 
.71734 
.71748 
.71761 

.05214 
.05216 
.05218 
.05319 

8.72525 
.72538 
.72551 
.72565 

.05313 
.05314 
.05315 
.05317 

8.73321 
.73334 
.73347 
.73360 

.05410 

.05412 

' .05413 

.05415 

8.74109 
.74122 
.74135 
.74149 

.05509 
.05511 
.05513* 
.05514 

8.74890 
.74903 
.74916 
.74929 

.05609 
.05611 
.05613 
.05614 

24 
23 

22 
21 

+  1(K 

41 
42 
43 

8.71774 
.71788 
.71801 
.71815 

.05221 
.05222 
.05224 
.05226 

8.72578 
.72591 
.72605 
.72618 

.05318 
.05320 
.05322 
.05323 

8.73374 
.73387 
.73400 
.73413 

.05417 
.05418 
.05420 
.05423 

8.74162 
.74175 
.74188 
.74201 

.05516 
.05518 
.05519 
.05521 

8.74942 
.74955 
.74968 
.74981 

.05616 
.05618 
.05619 
.05621 

20 
19 
18 
11 

+    ir 

45 
46 
41 

8.71828 
.71842 
.71855 
.71869 

.05327 
.05229 
.05231 
.05332 

8.72631 
.72644 
.72658 
.72671 

.05325 

.05326 

i  .05338 

.05330 

8.73426 
.73440 
.73453 
.73466 

.05433 
.05425 
.05427 
.05428 

8.74214 
.74227 
.74240 

■  .74253 

.05523 
.05534 
.05536 
.05528 

8.74994 
.75007 
.75020 
.75033 

.05623 
.05624 
.05626 
.05638 

16 
15 
14 
13 

+     12' 

49 
60 
51 

8.71882 
.71895 
.71909 
.71922 

.05234 
.05335 
.05237 
.05239 

8.72684 
.72698 
.72711 

.72724 

.05331 

.05333 

» .05335 

^  .05336 

8.73479 

.73492 

i.73505 

^73519 

.05430 
.05431 
.05433 
.05435 

8.74266 

-.74279 

.74292 

.74305 

.05529 
.05531 
.05533 
.05534 

8.75046 
.75059 
.75072 
.75084 

.05639 
.05631 
.05633 
.05634 

12 

11 

10 

9 

+  13' 

53 

54 
55 

8.71936 
.71949 
.71963 
.71976 

,05340 
.05343 
.05344 
.05345 

8.72738 
.72751 
.72764 
.72778 

.0.5338 
.05340 
.05341 
.05343 

8.73532 

,  .73545 

.73558 

.73571 

.05436 
.05438 
.05440 
.05441 

8.74318 
.74331 
.74344 
.74357 

.05536 
.05537 
.05539 
.05541 

8.75097 
.75110 
.75123 
.75136 

.05636 
.05638 
.05639 
.05641 

8 
7 
6 
5 

+   w 

57 
58 
59 

8.71989 
.72003 
.72016 
.72030 

.05347 
.05348 
.05250 
.05353 

8.72791 
.72804 
.72817 
.72831 

.05345 
.05346 
.05348 
.05349 

8.73584 
.73598 
.73611 
.73624 

.05443 
.05445 
.05446 
.05448 

8.74371 
.74384 
.74397 
.74410 

.05542 
.05544 
.05546 
.05547 

8.75149 
.75162 
.75175 
.75188 

.05643 
.05644 
.05646 
.05648 

4 
3 
2 
1 

+  15' 

8.72043 

.05353 

8.72844 

.05351 

8.73637 

.05450 

8.74423 

.05549 

8.75201 

.05649 

0 

22h  14m         1 

22h JSm 

•  22^  12™' 

22^  llm          1 

22h  10^ 

55901°— 18- 


Page  66]                   TABLE  IV. 

Haversines. 

s 

2  A  5(9«  27o  W 

Ih  5im  27°  45' 

Ih  52rn'  28°  C 

Ih  5Sm  28°  15' 

Ih  54""  28°  30' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
3 

8.75201 

.75214 
.75227 
.75239 

.05649 
.05651 
.05653 
.05655 

8.75972 
.75984 
.75997 
.76010 

.05751 
.05752 
.05754 
.05756 

8.76735 
.76748 
.76760 
.76773 

.05853 
.05854 
.05856 
.05858 

8.77492 
.77504 
.77517 
.77529 

.05955 
.05957 
.05959 
.05961 

8.78241 
.78254 
.78266 

.78278 

.06059 
.06061 
.06063 
.06064 

60 
59 
58 
57 

+     r 

5 
6 

7 

8.75252 
.75265 
.75278 
.75291 

.05656 
.0565S 
.05660 
.05661 

8.76023 
.76035 
.76048 
.76061 

.05757 
.05759 
.05761 
.05762 

8.76786 
.76798 
76811 
.76824 

.05859 
.05861 
.05863 
.05865 

8.77542 
.77554 

.77567 
.77579 

.05962 
.05964 
.05966 
.05968 

8.78291 
.78303 
.78310 
.78328 

.06066 
.06088 
.06070 
.06071 

56 
55 
54 
53 

+   3' 

9 

10 

11 

8.75304 
.75317 
.75330 
.75343 

.05663 
.05665 
.05666 
.05668 

8.76074 
.76086 
.76099 
.76112 

.05764 
.05766 
.05768 
.05769 

8.76836 
.76849 
.76862 
.76874 

.05866 
.05868 
.05870 
.05871 

8.77592 
.77604 
.77617 
.77630 

.05969 
.05971 
.05973 
.05974 

8.78341 
.78353 
.78365 
.78378 

.06073 
.06075 
.06077 
.06078 

52 
51 

50 
49 

+   3' 

IS 
14 

15 

8.75355 
.75368 
.75381 
.75394 

.05670 
.05671 
.05673 
.05675 

8.76125 
.76138 
.76150 
.76163 

.05771 
.05773 
.05774 
.05776 

8.76887 
.76900 
.76912 
.76925 

.05873 
.05875 
.05877 

.05878 

8.77642 
.77655 
.77667 
.77680 

.05976 
.05978 
.05980 
.05981 

8.78390 
.78403 
.78415 
.78428 

.06080 
.06082 
.06083 
.08085 

48 
47 
46 
45 

+   4' 
17 
18 
19 

8.75407 
.75420 
.75433 

.75446 

.05676 
.05678 
.05680 
.05681 

8.76176 
.76189 
.76201 
.76214 

.05778 
.05779 
.05781 
.05783 

8.76938 
.76950 
.76963 
.76975 

.05880 

.05882 
.05883 

.05885 

8.77692 
.77705 

.77717 
.77730 

.05983 
.05985 
.05986 
.05988 

8.78440 
.78452 
.78465 
.78477 

.06087 
.06089 
.06090 
.96092 

44 
43 
42 
41 

+   6' 
21 

22 
23 

8.75458 
.75471 
.75484 
.75497 

.05683 
.05685 
.05686 
.05688 

8.76227 
.76240 
.76252 
.76265 

.05785 
.05786 

.05788 
.05790 

8.76988 
.77001 
.77013 
.77026 

.05887 
.05888 
.05890 
.05892 

8.77742 
.77755 
.77767 
.77780 

.05990 
.05992 
.05993 
.05995 

8.78490 
.78502 
.78514 

.78527 

.06094 
.08096 
.06097 
.08099 

40 
39 
38 
37 

+   6' 

25 
26 

27 

8.75510 
.75523 
.75536 
.75548 

.05690 
.05691 
.05693 
.05695 

8.76278 
.76291 
.76303 
.76316 

.05791 
.05793 
.05795 
.05796 

8.77039 
.77051 
.77064 
.77076 

.05894 
.05895 
.05897 
.05899 

8.77792 
.77805 
.77817 
.77830 

.05997 
.05999 
.06000 
.06002 

8.78539 
.78551 
.78564 
.78576 

.06101 
.06103 
.06104 
.06106 

36 
35 
34 
33 

+    r 

29 
SO 
31 

8.75561 

.75574 
.75587 
.75600 

.05697 
.05698 
.05700 
.05702 

8.76329 
.76341 
.76354 
.76367 

.05798 
.05800 
.05802 
.05803 

8.77089 
.77102 
.77114 
.77127 

.05901 
.05902 
.05904 
.05906 

8.77842 
.77855 
.77867 
.77880 

.06004 
.06005 
.06007 
.06009 

8.78589 
.78601 
.78613 
.78626 

.06108 
.06110 
.06111 
.06113 

32 
31 
30 
29 

+     8' 
33 
34 

35 

8.75613 
.75626 
.75638 
.75651 

.05703 
.05705 
.05707 
.05708 

8.76380 
.76392 
.76405 
.76418 

.05805 
.05807 
.05808 
.05810 

8.77139 
.77152 
.77165 

.77177 

.05907 
.05909 
.05911 
.05913 

8.77892 
.77905 
.77917 
.77930 

.06011 
.08013 
.06014 
.06016 

8.78638 
.78651 
.78663 

.78675 

.06115 
.06117 
.06118 
.06120 

28 

27 
26 

25 

24 
23 
22 
21 
20 
19 
18 
17 

+      9^ 

37 
38 
39 

8.75664 
.75677 
.75690 
.75703 

.05710 
.05712 
.05713 
.05715 

8.76431 
.76443 
.76456 
.76469 

.05812 
.05813 
.05815 
.05817 

8.77190 
.77202 
.77215 

.77228 

.05914 
.05916 
.05918 
.05919 

8.77942 
.77955 
.77967 
.77980 

.08018 
.06019 
.06021 
.06023 

8.78(i88 
.78700 
.78712 

.78725 

.06122 
.06124 
.06125 
.06127 

+    1(K 

41 

42 
45 

8.75715 
.75728 
.75741 
.75754 

.05717 
.05718 
.05720 
.05722 

8.76481 
.76494 
.76507 
.76519 

.05819 
.05820 
.05822 
.05824 

8.77240 
.77253 
.77265 
.77278 

.05921 
.05923 
.05925 
.05926 

8.77992 
.78005 
.78017 
.78029 

.06024 
.08026 
.06028 
.06030 

8.78737 
.78749 
.78762 

.78774 

.06129 
.06130 
.06132 
.06134 

+  11' 

45 
46 

47 

8.75767 
.75779 
.75792 
.75805 

.05724 
.05725 
.05727 
.05729 

8.76532 
.76545 
.76558 
.76570 

.05825 

.05837 
.05829 
.05830 

8.77291 
.77303 
.77316 
.77328 

.05928 
.05930 
.05931 
.05933 

8.78042 
.78054 
.78067 
.78079 

.06031 
.06033 
.08035 
.06037 

8.78787 
.78799 
.78811 
.78824 

.06136 
.06137 
.06139 
.06141 

16 

15 
14 
13 
12 
11 
10 
9 

+  12' 

50 
5i 

8.75818 
.75831 
.75844 
.75856 

.05730 
.05732 
.05734 
.05735 

8.76583 
.76596 
.76608 
.76621 

.05832 
.05834 
.05836 
.05837 

8.77341 
.77353 
.77306 
.77379 

.05935 
.05936 
.05938 
.05940 

8.78092 
.78104 
.78117 
.78129 

.06038 
.06040 
.06042 
.06044 

8.78836 
.78848 
.78861 
.78873 

.06143 
.06144 
.06146 
.06148 

+  13' 

55 
54 
55 

8.75869 
.75882 
.75895 
.75908 

.05737 
.05739 
.05740 
.05742 

8.76634 
.76646 
.76659 
.76672 

.05839 
.05841 
.05842 
.05844 

8.77391 
.77404 
.77416 
.77429 

.05942 
.05943 
.05945 
.05947 

8.78142 
.78154 
.78167 
.78179 

.06045 
.06047 
.06049 
.06050 

8.78885 
.78898 
.78910 
.78922 

8.78935 
.78947 
.78959 
.78972 

.06150 
.06151 
.06153 
.06155 

8 
7 
6 
5 

+  14' 

57 
55 
59 

8.75920 
.75933 
.75946 
.75959 

.05744 
.05745 
.05747 
.05749 

8.76684 
.76697 
.76710 
.76722 

.05846 
.05847 
.05849 
.05851 

8.77441 
.77454 
.77466 
.77479 

.05949 
.05950 
.05952 
.05954 

8.78191 
.78204 
.78216 
.78229 

.06052 
.06054 
.06056 
.06057 

.06157 
.06158 
.08160 
.06162 

4 
3 

2 

1 

+  15' 

8.75972 

.05751 

8.76735 

.05853 

8.77492 

.05955 

8.78241 

.06059 

8.78984 

.06184 

0 

22^  9m 

22h  Sm 

22h7m 

22h6m 

ff  ft  5m 

TABLE  IV.                  [Page  67 
Haversines. 

s 

iA  55^28°  45' 

Ih  56m  29°  0' 

^^1.57^39°  15' 

Ih  SSm  39°  30' 

Ih  59^29°  45' 

s 

Log.  Ilav. 

Nat.  Ilav. 

Log.  nav. 

Nat.  Ilav. 

Log.  Ilav. 

Nat.  Uav. 

Log.  Uav 

Nat.  nav. 

Log.  Ilav. 

Nat.  Ilav. 

0 
1 

2 
3 

8.78984 
.78996 
.79009 
.79021 

.06164 
.06165 
.06167 
.06169 

8.79720 
.79732 
.79744 

.  .79757 

.06369 
.06371 
.06373 
.06374 

8.80449 
.80462 
.80474 
.80486 

.06375 
.06377 
.06379 
.06381 

8.81172 
.81184 
.81196 
.81208 

.06482 
.06484 
.06488 
.06488 

8.81889 
.81901 
.8-1913 
.81925 

.06590 
.08592 
.06594 
.06595 

60 
59 
58 
57 

+     r 

5 
6 
7 

8.79033 
.79046 
.79058 
.79070 

.06171 
.06173 
.06174 
.06176 

8.79769 
.79781 
.79793 
.79805 

.06376 
.06378 
.06380 
.06381 

8.80498 
.80510 
.80522 
.80534 

.06383 
.06384 
.06386 
.06388 

8.81220 
.81232 
.81244 
.81256 

.06489 
.06491 
.08493 
.06495 

8.81937 
.81948 
.81960 
.81972 

.08597 
.08599 
.06601 
.06603 

56 
55 
54 
53 

+       V 

9 

10 

11 

8.79082 
.79095 
.79107 
.79119 

.06178 
.06179 
.06181 
.06183 

8.79818 
.79830 
.79842 
.79854 

.06383 
.06385 
.06387 
.06388 

8.80546 
.80558 
.80570 
.80582 

.08389 
.06391 
.06393 
.06395 

8.81268 
.81280 
.81292 
.81304 

.06497 
.06498 
.06500 
.08502 

8.81984 
.81996 
.82008 
.82020 

.06805 
.08808 
.06808 
.06610 

52 
51 
50 
49 

+       3' 

IS 
14 
15 

8.79132 
.79144 
.79156 
.79169 

.06185 
.06186 
.06188 
.06190 

8.79866 
.79879 
.79891 
.79903 

.06390 
.06393 
.06394 
.06395 

8.80595 
,80607 
.80619 

_. 80631 

.06397 
.06398 
.06400 
.06402 

8.81316 
.81328 
.81340 
.81352 

.06504 
.06505 
.06507 
.06509 

8.82032 
.82043 
.82055 
.82067 

.06612 
.06614 
.08815 
.06617 

48 
47 
46 

45 

+       ^' 
17 
18 
19 

8.79181 
.79193 
.79205 
.79218 

.06193 
.06193 
.06195 
.06197 

8.79915 
.79927 
.79940 
.79952 

.06397 
.06399 
.06301 
.06303 

8.80643 
.80655 
.80667 
.80679 

^06404 
.06405 
.06407 
.06409 

8.81364 
.81376 
.81388 
.81400 

.06511 
.06513 
.06514 
.08516 

8.82079 
.82091 
.82103 
.82115 

.06619 
.06621 
.06623 
.06634 

44 
43 
42 
41 

+       ^ 
21 
22 
23 

8.79230 
.79242 
.79255 
.79267 

.06199 
.06300 
.06203 
.06304 

8.79964 
.79976 
.79988 
.80000 

.06304 
.06306 
.06308 
.06310 

8.80691 
.80703 
.80715 
.80727 

.06411 
.06413 
.06414 
.06416 

8.81412 
.81424 
.81436 
.81448 

.08518 
.06530 
.06533 
.06533 

8.82126 
.82138 
.82150 
.82162 

.06636 
.06628 
.06630 
.08633 

40 
39 
38 
37 

+   ^ 

25 
26 
27 

8.79279 
.79291 
.79304 
.79316 

.06306 
.06307 
.06309 
.06311 

8.80013 
.80025 
.80037 
.80049 

.06311 
.06313 
.06315 
.06317 

8.80739 
.80751 
.80764 
.80776 

.06418 
.06420 
.06421 
.06433 

8.81460 
.81^72 
.81484 
.81496 

.06535 
.08527 
.06539 
.08531 

8.82174 
.82186 
.82198 
.82209 

.08633 
.06635 
.06637 
.06639 

36 
35 
34 
33 

+     r 

29 
30 

-31 

8.79328 
.79341 
.79353 
.79365 

.06313 
.06314 
.06316 
.06318 

8.80061 
.80073 
.80086 
.80098 

.06318 
.06330 
.06333 
.06334 

8.80788 
.80800 
.80812 
.80824 

.06435 
:06437 
w06429 
.08430 

8.81508 
.81520 
.81531 
.81543 

.06533 
.06534 
.06538 
.06538 

8.82221 
.82233 
.82245 
.82257 

.08841 
.06643 
.08844 
.06648 

32 
31 
30 
29 

+       8^ 
S3 
34 
35 

8.79377 
.79390 
.79402 
.79414 

.06330 
.06331 
.06223 
.06335 

8.80110 
.80122 
.80134 
.80146 

.06336 
.06327 
.06329 
.06331. 

8.80836 
.80848 
.80860 

.80872 

.06433 
.06434 
.08436 
.08438 

8.81555 
.81567 
.81579 
.81591 

.06540 
.06541 
.06543 
.06545 

8.82269 
.82280 
.82292 
.82304 

.06648 
.06850 
.08653 
.08653 

28 
27 
26 
25 

+       9^ 

37 

38 
39 

8.79426 
.79439 
.79451 
.79463 

.06337 
.06339 
.06330 
.06233 

8.80158 
.80171 
.80183 
.80195 

.06333 
.06334 
.06336 
.06338 

8.80884 
.80896 
.80908 
.80920 

.08439 
.08441 
.08443 
.06445 

8.81603 
.81615 
.81627 
.81639 

.06547 
.06549 
.08550 
.06553 

8.82316 
.82328 
.82340 
.82351 

.08655 
.08857 
.08859 
.06681 

24 
23 

22 
21 

+   ir 

41 
42 
43 

8.79475 
.79488 
.79500 
.79512 

.06334 
.06336 
.06337 
.06339 

8.80207 
.80219 
.80231 
.80243 

.06340 
.06341 
.06343 
.06345 

8.80932 
.80944 
.80956 
.80968 

.06446 
.06448 
.06450 
.06453 

8.81651 
.81663 
.81675 
.81687 

.06554 
.06558 
.06558 
.08559 

8.82363 
.82375 
.82387 
.82399 

.06663 
.06884 
.06686 
.08668 

20 
19 
18 
17 

+     11' 

45 
46 

47 

8.79524 
.79537 
.79549 
.79561 

.06341 
.06343 
.08344 
.06346 

8.80256 
.80268 
.80280 
.80292 

.06347 
.06349 
.06350 
.06353 

8.80980 
.80992 
.81004 
.81016 

.06454 
.06455 
.06457 
.06459 

8.81699 
.81710 
.81722 
.81734 

.06561 
.06563 
.06565 
.06567 

8.82410 
.82422 
.82434 
.82446 

.06670 
.08871 
.08673 
.08675 

16 
15 
U 
13 

+    ir 

49 
50 
51 

8.79573 
.79586 
.79598 
.79610 

.06348 
.06350 
.06351 
.06353 

8.80304 
.80316 
.80328 
.80340 

.06354 
.06356 
.06357 
.06359 

8.81028 
.81040 
.81052 
.81064 

.08481 
.08463 
.06464 
.06468 

8.81746 
.81758 
.81770 

.81782 

.06568 
.06570 
.06573 
.06574 

8.82458 
.82470 
.82481 
.82493 

.08677 
.06879 
.08681 
.06682 

12 

11 

10 

9 

+     13' 

53 
54 
55 

8.79622 
.79634 
.79647 
.79659 

.06355 
.06357 
.06358 
.06360 

8.80353 
.80365 
.80377 
.80389 

.06361 
.06363 
.06365 
.06386 

8.81076 
.81088 
.81100 
.81112 

.06468 
.06470 
.06471 
.06473 

8.81794 
.81806 
.81818 
.81830 

.06576 
.06577 
.06529 
.06581 

8.82505 
.82517 
.82529 
.82540 

.08684 
.06688 
.06888 
.06690 

8 
7 
6 
5 

+     14' 

57 
68 
59 

8.79671 
.79683 
.79696 
.79708 

.06363 
.06364 
.06365 
.06367 

8.80401 
.80413 
.80425 
.80437 

.06368 
.06370 
.06373 
.06373 

8.81124 
.81136 
.81148 
.81160 

.06475 
.06477 
.06479 
.06480 

8.81841 
.81853 
.81865 
.81877 

.06583 
.06585 
.08586 
.08588 

8.82552 
.82564 
.82576 
.82588 

.08691 
.08893 
.06895 
.06697 

4 
3 
2 
1 
0 

+     15' 

8.79720 

.06369 

8.80449 

.06375 

8.81172 

.06483 

8.81889 

.06590 

8.82599 

.08899 

22^  4m 

22^1'  Sm 

22}''  jgw    1 

22^^  im 

22h  (ym.           1 

Page  68]                  TABLE  IV. 

Haversinea. 

s 

2h  Orn  30°  (K   1 

^h  im  30°  15'  1 

Oh  2m  30°  30' 

2^  Sm  30°  45' 

2h  4"»  31°  0'   1 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Kav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 

1 
2 
3 

8.82599 
.82611 
.82623 
.82635 

.06699 
.06701 
.06703 
.06701 

8.83303 
.83315 
.83327 
.83338 

.06808 
.06810 
.06813 
.06814 

8.84002 
.84013 
.84025 
.84036 

.06919 
.06920 
.06923 
.06934 

8.84694 
.84705 
.84717 
.84728 

.07030 
.07032 
.07033 
.07035 

8.85380 
.85391 
.85403 
.85414 

.07143 
.07144 
.07145 
.07147 

60 
59 
58 
57 

+  r 
5 

6 
7 

8.82646 
.82658 
.82670 
.82682 

.06706 
.06708 
.06710 
.06711 

8.83350 
.83362 
.83374 
.83385 

.06816 
.06817 
.06819 
.06831 

8.84048 
.84059 
.84071 
.84083 

.06936 
.06938 
.06930 
.06931 

8.84740 
.84751 
.84762 
.84774 

.07037 
.07039 
.07041 
.07043 

8.85425 
.85437 
.85448 
.85459 

.07149 
.07151 
.07153 
.07155 

56 
55 
54 
53 

+     V 

9 

10 

11 

8.82694 
.82705 
.82717 
.82729 

.06713 
.06715 
.06717 
.06719 

8.83397 
.83409 
.83420 
.83432 

.06823 
.06825 
.06826 
.06838 

8.84094 
.84106 
.84117 
.84129 

.06933 
.06935 
.06937 
.06939 

8.84785 
.84797 
.84808 
.84820 

.07045 
.07046 
.07048 
.07050 

8.85471 
.85482 
.85494 
.85505 

.07157 
.07158 
.07160 
.07162 

52 
51 
50 
49 

+  3' 

13 
14 
15 

8.82741 
.82752 
.82764 
.82776 

.06731 
.06723 
.06731 
.06736 

8.83444 
.83455 
.83467 
.83479 

.06830 
.06833 
.06834 
.06836 

8.84140 
.84152 
.84164 
.84175 

.06941 
.06943 
.06944 
.06946 

8.84831 
.84843 
.84854 
.84866 

.07053 
.07054 
.07056 
.07058 

8.85516 
.85528 
.85539 
.85550 

.07164 
.07166 
.07168 
.07170 

48 
47 
46 
45 

44 
43 
42 
41 

+   4^ 
17 
18 
19 

8.82788 
.82799 
.82811 
.82823 

8.82835 
.82846 
.82858 
.82870 

.06728 
.06730 
.06731 
.06733 

8.83490 
.83502 
.83513 
.83525 

.06838 
.06839 
.06841 
.06843 

8.84187 
.84198 
.84210 
.84221 

.06948 
.06950 
.06952 
.06954 

8.84877 
.84889 
.84900 
.84912 

.07059 
.07061 
.07063 
.07065 

8.85562 
.85573 
.85585 
.85596 

.07172 
.07173 
.07175 
.07177 

+  5^ 

21 

22 
23 

.06735 
.06737 
.06739 
.06741 

8.83537 
.83548 
.83560 
.83572 

.06845 
.06847 
.06849 
.06850 

8.84233 
.84244 
.84256 
.84268 

.06956 
.06957 
.06959 
.06961 

8.84923 
.84934 
.84946 
.84957 

.07067 
.07069 
.07071 
.07073 

8.85607 
.85619 
.85630 
.85641 

.07179 
.07181 
.07183 
.07185 

40 
39 
38 
37 

+  6' 

25 
26 
27 

8.82882 
.82893 
.82905 
.82917 

.06743 
.06744 
.06746 
.06748 

8.83583 
.83595 
.83607 
.83618 

.06852 
.06854 
.06856 
.06858 

8.84279 
.84291 
.84302 
.84314 

.06963 
.06965 
.06967 
.06968 

8.84969 
.84980 
.84992 
.85003 

.07074 
.07076 
.07078 
.07080 

8.85653 
.85664 
.85675 
.85687 

.07187 
.07189 
.07190 
.07192 

36 
35 
34 
33 

+    r 

29 
30 
31 

8.82929 
.82940 
.82952 
.82964 

.06750 
.06753 
.06753 
.06755 

8.83630 
.83642 
.83653 
.83665 

.06860 
.06861 
.06863 
.06865 

8.84325 
.84337 
.84348 
.84360 

.06970 
.06972 
.06974 
.06976 

8.85015 
.85026 
.85037 
.85049 

.07083 
.07084 
.07086 
.07087 

8.85698 
.85709 
.85721 
.85732 

.07194 
.07196 
.07198 
.07300 

32 
31 
30 
29 

+  8' 
33 
24 
35 

8.82976 
.82987 
.82999 
.83011 

.06757 
.06759 
.06761 
.06763 

8.83676 
.83688 
.83700 
.83711 

.06867 
.06869 
.06871 
.06873 

8.84371 
.84383 
.84394 
.84406 

.06978 
.06980 
.06981 
.06983 

8.85060 
.85072 
.85083 
.85095 

.07089 
.07091 
.07093 
.07095 

8.85743 
.85755 

\85766 
.85777 

.07303 
.07304 
.07305 
.07307 

28 
27 
26 

25 

+   9^ 

57 
SB 
39 

8.83023 
.83034 
.83046 
.83058 

.06764 
.06766 
.06788 
.06770 

8.83723 
.83735 
.83746 
.83758 

.06874 
.06876 
.06878 
.06880 

8.84417 
.84429 
.84441 
.84452 

.06985 
.06987 
.06989 
.06991 

8.85106 
.85117 
.85129 
.85140 

.07097 
.07099 
.07100 
.07103 

8.85789 
.85800 
.85811 
.85823 

.07309 
.07311 
.07313 
.07315 

24 
23 
22 
21 

+  W 

41 
42 
43 

8.83069 
.83081 
.83093 
.83105 

.06772 
.06773 
.06775 
.06777 

8.83769 
.83781 
.83793 
.83804 

.06883 
.06884 
.06885 
.06887 

8.84464 
.84475 
.84487 
.84498 

.06993 
.06994 
.06996 
.06998 

8.85152 
.85163 
.85175 
.85186 

.07104 
.07106 
.07108 
.07110 

8.85834 
.85845 
.85857 
.85868 

.07217 
.07219 
.07230 
.07223 

20 
19 
18 
17 

+  ir 

45 
46 
47 

8.83116 
.83128 
.83140 
.83151 

.06779 
.06781 
.06783 
.06784 

8.83816 
.83828 
.83839 
.83851 

.06889 
.06891 
.06893 
.06895 

8.84510 
.84521 
.84533 
.84544 

.07000 
.07003 
.07004 
.07006 

8.85197 
.85209 
.85220 
.85232 

.07112 
.07114 
.07115 
.07117 

8.85879 
.85891 
.85902 
.85913 

.07234 
.07236 
.07228 
.07230 

16 
15 
14 
13 

+  13' 

49 
50 
51 

8.83163 
.83175 
.83187 
.83198 

.06786 
.06788 
.06790 
.06793 

8.83862 
.83874 
.83886 
.83897 

.06896 
.06898 
.06909 
.06903 

8.84556 
.84567 
.84579 
.84590 

.07007 
.07009 
.07011 
.07013 

8.85243 
.85254 
.85266 
.85277 

.07119 
.07121 
.07123 
.07135 

8.85925 
.85936 
.85947 
.85959 

.07232 
.07234 
.07236 
.07237 

12 

11 

10 

9 

+  13' 
53 
54 
55 

8.83210 
.83222 
.83233 
.83245 

.06794 
.06795 
.06797 
.06799 

8.83909 
.83920 
.83932 
.83944 

.06904 
.06906 
.06907 
.06909 

8.84602 
.84613 
.84625 
.84636 

.07015 
.07017 
.07019 
.07020 

8.85289 
.85300 
.85311 
.85323 

.07137 
.07139 
.07130 
.07133 

8.85970 
.85981 
.85992 
.86004 

.07339 
.07341 
.07343 
.07345 

8 
7 
6 
5 

+  14' 

57 

59 

8.83257 
.83268 
.83280 
.83292 

.06801 
.06803 
.06805 
.06806 

8.83955 
.83967 
.83978 
.83990 

.06911 
.06913 
.06915 
.06917 

8.84648 
.84659 
.84671 
.84682 

.07033 
.07024 
.07026 
.07028 

8.85334 
.85346 
.85357 
.85368 

.07134 
.07136 
.07138 
.07140 

8.86015 
.86026 
.86038 
.86049 

.07347 
.07349 
.07351 
.07253 

4 
3 
2 
1 

+  15' 

8.83303 

.06808 

8.84002 

.06919 

8.84694 

.07030 

8.85380 

.07143 

8.86060 

.07254 

0 

21^  59m 

21h58m 

21h57m 

21^  56m 

21h  55m 

TABLE  IV.                  [Page  69 
Haversjnes. 

s 

2h  jm  31°  15' 

2^  6"»  31°  30' 

2h  7m  310  45/ 

f  A  5m  32°  C 

2h  gm  33°  15' 

8 

Log.  Hav 

Nat.  Hav 

Log.  Hav. 

Nat.  Hav 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  llav 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
S 

8.86060 
.86072 
.86085 
.86094 

.07254 
.07256 
.07258 
.07260 

8.86735 
.86746 
.86757 
.86769 

.07368 
.07370 
.07372 
.07374 

8.87404 
.87415 
.87426 
.87437 

.07482 
.07484 
.07486 
.07488 

8.88068 
.88079 
.88090 
.88101 

.07598 
.07600 
.07601 
.07603 

8.88726 
.88737 
.88748 
.88759 

.07714 
.07716 
.07717 
.07719 

60 
59 

58 
57 

5 
6 

7 

8.86105 
.86117 
.86128 
.86139 

.07262 
.07264 
.07266 
.07268 

8.86780 
.86791 
.86802 
.86813 

.07376 
.07377 
.07379 
.07381 

8.87448 
.87460 
.87471 

.87482 

.07490 
.07492 
.07494 
.07496 

8.88112 
.88123 
.88134 
.88145 

.07605 
.07607 
.07609 
.07611 

8.88769 
.88780 
.88791 
.88802 

.07721 
.07723 
.07725 
.07727 

66 
55 
54 
63 

+    r 

9 
10 
11 

8.86151 
.86162 
.86173 
.86184 

.07270 
.07271 
.07273 
.07275 

8.86825 
.86836 
.86847 
.86858 

.07383 
.07385 
.07387 
.07389 

8.87493 
.87504 
.87515 
.87526 

.07498 
.07500 
.07502 
.07503 

8.88156 
.88167 
.88178 
.88189 

.07613 
.07615 
.07617 
.07619 

8.88813 
.88824 
.88835 
.88846 

.07729 
.07731 
.07733 
.07735 

52 
51 
60 
49 

+      3' 

IS 
14 
15 

8.86196 
.86207 

.86218 
.86229 

.07277 
.07279 
.07281 
.07283 

8.86869 
.86880 
.86892 
.86903 

.07391 
.07393 
.07395 
.07397 

8.87537 
.87548 
.87559 
.87570 

.07505 
.07507 
.07509 
.07511 

8.88200 
.88211 
.88222 
.88233 

.07621 
.07623 
.07625 
.07627 

8.88857 
.88868 
.88879 
.88890 

.07737 
.07739 
.07741 
.07743 

48 
47 
46 

45 

+      4' 
17 
18 
19 

8.86241 
.86252 
.86263 
.86275 

.07285 
.07287 

.07288 
.07290 

8.86914 
.86925 
.86936 
.86947 

.07398 
.07400 
.07402 
.07404 

8.87582 
.87593 
.87604 
.87615 

.07513 
.07515 
.07517 
.07519 

8.88244 
.88255 
.88266 
.88277 

.07628 
.07630 
.07632 
.07634 

8.88900 
.88911 
.88922 
.88933 

.07745 
.07747 
.07749 
.07751 

44 
43 
42 
41 

+      5' 

21 

22 
2S 

8.86286 
.86297 
.86308 
.86320 

.07292 
.07294 
.07296 
.07298 

8.86959 
.86970 
.86981 
.86992 

.07406 
.07408 
.07410 
.07412 

8.87626 
.87637 
.87648 
.87659 

.07521 
.07523 
.07525 
.07527 

8.88288 
.88299 
.88310 
.88321 

.07636 
.07638 
.07640 
.07642 

8.88944 
.88955 
.88966 

.88977 

.07752 
.07754 
.07756 
.07758 

40 
39 
38 

37 

+   6' 

25 
26 

27 

8.86331 
.86342 
.86353 
.86365 

.07300 
.07302 
.07304 
.07305 

8.87003 
.87014 
.87026 
.87037 

.07414 
.07416 
.07417 
.07419 

8.87670 
.87681 
.87692 
.87703 

.07528 
.07530 
.07532 
.07534 

8.88332 
.88343 
.88354 
.88364 

.07644 
.07646 
.07648 
.07650 

8.88988 
.88998 
.89009 
.89020 

.07760 
.07762 
.07764 
.07766 

36 
35 
34 
33 

+    r 

29 
SO 
SI 

8.86376 
.86387 
.86398 
.86410 

.07307 
.07309 
.07311 
.07323 

8.87048 
.87059 
.87070 
.87081 

.07421 
.07423 
.07425 
.07427 

8.87714 

.87725 
.87737 
.87748 

.07536 
.07538 
.07540 
.07542 

8.88375 
.88386 
.88397 
.88408 

.07652 
.07654 
.07656 
.07657 

8.89031 
.89042 
.89053 
.89064 

.07768 
.07770 
.07772 
.07774 

32 
31 
30 
29 

+   8' 

ss 
S4 

35 

8.86421 
.86432 
.86443 
.86455 

.07315 
.07317 
.07319 
.07321 

8.87093 
.87104 
.87115 
.87126 

.07429 
.07431 
.07433 
.07435 

8.87759 
.87770 
.87781 
.87792 

.07544 
.07546 
.07548 
.07549 

8.88419 
.88430 
.88441 
.88452 

.07659 
.07661 
.07663 
.07665 

8.89075 
.89086 
.89096 
.89107 

.07776 
.07778 
.07780 
.07782 

28 
27 
26 
25 

+      9' 

S7 
S8 
S9 

8.86466 
.86477 
.86488 
.86499 

.07322 
.07324 
.07326 
.07328 

8.87137 
.87148 
.87159 
.87171 

.07437 
.07438 
.07440 
.07442 

8.87803 
.87814 
.87825 
.87836 

.07551 
.07553 
.07555 
.07557 

8.88463 
.88474 
.88485 
.88496 

.07667 
.07669 
.07671 
.07673 

8.89118 
.89129 
.89140 
.89151 

.07784 
.07786 

.07788 
.07789 

24 

23 
22 
21 

+  10' 

41 

42 
43 

8.86511 
.86522 
.86533 
.86544 

.07330 
.07332 
.07334 
.07336 

8.87182 
.87193 
.87204 
.87215 

.07444 
.07446 
.07448 
.07450 

8.87847 
.87858 
.87869 
.87880 

.07559 
.07561 
.07563 
.07565 

8.88507 
.88518 
.88529 
.88540 

.07675 
.07677 
.07679 
.07681 

8.89162 
.89172 
.89183 
.89194 

.07791 
.07793 
.07795 
.07797 

20 
19 
18 
17 
16 
15 
14 
13 

+    11' 

46 
46 
47 

8.86556 
.86567 
.86578 
.86589 

.07338 
.07340 
.07341 
.07343 

8.87226 
.87237 
.87248 
.87260 

.07452 
.07454 
.07456 
.07458 

8.87891 
.87902 
.87913 
.87924 

.07567 
.07569 
.07571 
.07573 

8.88551 
.88562 
.88573 
.88584 

.07683 
.07685 
.07686 
.07688 

8.89205 
.89216 
.89227 
.89238 

.07799 
.07801 
.07803 
.07805 

+    12' 

49 
50 
51 

8.86600 
.86611 
.86623 
.86634 

.07345 
.07347 
.07349 
.07351 

8.87271 
.87282 
.87293 
.87304 

.07459 
.07461 
.07463 
.07465 

8.87935 
.87946 
.87957 
.87968 

.07574 
.07576 
.07578 
.07580 

8.88595 
.88606 
.88616 
.88627 

.07690 
.07692 
.07694 
.07696 

8.89248 
.89259 
.89270 
.89281 

.07807 
.07809 
.07811 
.07813 

12 
11 
10 
9 
8 
7 
6 
5 

+  13' 

5S 
54 
55 

8.86645 
.86657 
.86668 
.86679 

.07353 
.07355 
.07357 
.07359 

8.87315 
.87326 
.87337 
.87349 

.07467 
.07469 
.07471 
.07473 

8.87980 
.87991 
.88002 
.88013 

.07582 
.07584 
.07586 

.07588 

8.88638 
.88649 
.88660 
.88671 

.07698 
.07700 
.07702 
.07704 

8.89292 
.89303 
.89314 
.89324 

.07815 
.07817 
.07819 
.07831 

+  14' 

57 
58 
59 

8.86690 
.86701 
.86713 
.86724 

.07360 
.07362 
.07364 
.07366 

8.87360 
.87371 
.87382 
.87393 

.07475 
.07477 
.07479 
.07480 

8.88024 
.88035 
.88046 
.88057 

.07590 
.07592 
.07594 
.07596 

8.88682 
.88693 
.88704 
.88715 

.07706 
.07708 
.07710 
.07712 

8.89335 
.89346 
.89357 
.89368 

.07823 
.07825 
.07827 
.07829 

4 
3 
2 
"1 

+  W 

8.86735 

.07368 

8.87404 

.07482 

8.88068 

.07598 

8.88726 

.07714 

8.89379 

.07830 

0 

21h  54'^          1 

2lT^5Sm 

21h  S2m 

21hsim 

Sih  50m 

Page  70]                  TABLE  IV. 

Havereines. 

s 

2hl0mZZ°S(/    1 

^AiJn»32°45'  1 

^A  12^  33°  0'  1 

2h  13m  33'  15' 

2h  14m  s^oZO"   1 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav.  Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 

1 
2 
3 

8.89379 
.89389 
.89400 
.89411 

.07830 
.07833 
.07834 
.07836 

8.90026 
.90037 
.90048 
.90058 

.07948 
.07950 
.07953 
.07954 

8.90668 
.90679 
.90690 
.90700 

.08066 
.08068 
.08070 
.08073 

8.91306 
.91316 
.91327 
.91337 

.08186 
.08188 
.08190 
.08193 

8.91938 
.91948 
.91959 
.91969 

.08306 
.08308 
.08310 
.08312 

60 
59 
58 
57 

+    r 

5 
6 
7 

8.89422 
.89433 
.89444 
.89454 

.07838 
.07840 
.07842 
.07844 

8.90069 
.90080 
.90091 
.90101 

.07956 
.07958 
.07960 
.07962 

8.90711 
.90722 
.90732 
.90743 

.08074 
.08076 
.08078 
.08080 

8.91348 
.91358 
.91369 
.91380 

.08194 
.08196 
.08198 
.08300 

8.91980 
.91990 
.92001 
.92011 

.08314 
.08316 
.08318 
.08330 

56 
55 

54 
S3 

+   2' 

9 

10 

11 

8.89465 
.89476 
.89487 
.89498 

.07846 
.07848 
.07850 
.07852 

8.90112 
.90123 
.90134 
.90144 

.07964 
.07966 
.07968 
.07970 

8.90754 
.90764 
.90775 
.90786 

.08083 
.08084 
.08088 

.08088 

8.91390 
.91401 
.91411 
.91422 

.08203 
.08304 
.08306 
.08308 

8.92022 
.92032 
.92043 
.92053 

.08323 
.08324 
.08336 
.08328 

52 
51 
50 
49 
48 
47 
46 
45 

44 
43 
42 
41 

+  3' 

13 
14 
15 

8.89509 
.89519 
.89530 
.89541 

.07854 
.07856 

.07858 
.07860 

8.90155 
.90166 
.90176 
.90187 

.07973 
.07974 
.07976 
.07978 

8.90796 
.90807 
.90818 
.90828 

.08090 
.08093 
.08094 
.08096 

8.91432 
.91443 
.91454 
.91464 

.08310 
.08313 
.08314 
.08316 

8.92064 
.92074 
.92084 
.92095 

.08330 
.08332 
.08334 
.08336 

+   4' 
17 
18 
19 

8.89552 
.89563 
.89573 
.89584 

.07862 
.07864 
.07866 
.07868 

8.90198 
.90209 
.90219 
.90230 

.07980 
.07983 
.07983 
.07985 

8.90839 
.90849 
.90860 
.90871 

.08098 
.08100 
.08103 
.08104 

8.91475 
.91485 
.91496 
.91506 

.08318 
.08330 
.08333 
.08334 

8.92105 
.92116 
.92126 
.92137 

.08338 
.08340 
.08342 
.08344 

+   5' 

21 
22 
23 

8.89595 
.89606 
.89617 
.89627 

.07870 
.07873 
.07873 
.07875 

8.90241 
.90252 
.90262 
.90273 

.07987 
.07989 
.07991 
.07993 

8.90881 
.90892 
.90903 
.90913 

.08106 
.08108 
.08110 
.08113 

8.91517 
.91527 
.91538 
.91549 

.08336 
.08338 
.08330 
.08333 

8.92147 
.92158 
.92168 
.92179 

.08346 
.08348 
.08350 
.08353 

40 
39 
38 
37 

+  6' 

25 
26 

27 

8.89638 
.89649 
.89660 
.89671 

.07877 
.07879 

.07881 
.07883 

8.90284 
.90294 
.90305 
.90316 

.07995 
.07997 
.07999 
.08001 

8.90924 
.90935 
.90945 
.90956 

.08114 
.08116 
.08118 
.08130 

8.91559 
.91570 
.91580 
.91591 

.08334 
.08336 

.08338 
.08340 

8.92189 
.92200 
.92210 
.92221 

.08354 
.08356 
.08358 
.08360 

36 
35 
34 
33 

+    r 

29 
30 
31 

8.89681 
.89692 
.89703 
.89714 

.07885 
.07887 
.07889 
.07891 

8.90326 
.90337 
.90348 
.90359 

.08003 
.08005 
.08007 
.08009 

8.90966 
.90977 
.90988 
.90998 

.08133 
.08134 
.08136 
.08138 

8.91601 
.91612 
.91622 
.91633 

.08343 
.08344 
.08346 
.08348 

8.92231 
.92241 
.92252 
.92262 

.08363 
.08364 
.08366 
.08368 

32 
31 
30 
29 

+     8' 
33 
34 

35 

8.89725 
.89735 
.89746 
.89757 

.07893 
.07895 
.07897 
.07899 

8.90369 
.90380 
.90391 
.90401 

.08011 
.08013 
.08015 
.08017 

8.91009 
.91019 
.91030 
.91041 

.08130 
.08133 
.08134 
.08136 
.08138 
.08140 
.08143 
.08144 

8.91643 
.91654 
.91664 
.91675 

.08350 
.08353 
.08254 
.08356 

8.92273 
.92283 
.92294 
.92304 

.08370 
.08372 
.08374 
.08376 

28 
27 
26 
25 

24 
23 

22 

7i 
20 

19 
18 

n 

+   9' 

37 
38 
39 

8.89768 
.89779 
.89789 
.89800 

.07901 
.07903 
.07905 
.07907 

8.90412 
.90423 
.90433 
.90444 

.08019 
.08031 
.08033 
.08035 

8.91051 
.91062 
.91073 
.91083 

8.91685 
.91696 
.91707 
.91717 

.08358 
.08360 
.08363 
.08364 

8.92315 
.92325 
.92335 
.92346 

.08378 
.08380 
.08382 
.08384 

41 

42 
43 

8.89811 
.89822 
.89832 
.89343 

.07909 
.07911 
.07913 
.07915 

8.90455 
.90466 
.90476 
.90487 

.08037 
.08039 
.08031 
.08033 

8.91094 
.91104 
.91115 
.91126 

.08146 
.08148 
.08150 
.08153 

8.91728 
.91738 
.91749 
.91759 

.08366 
.08268 
.08370 
.08372 

8.92356 
.92367 
.92377 
.92388 

.08386 

.08388 
.08390 
.08393 

+  11' 

45 
46 
47 

8.89854 
.89865 
.89875 
.89886 

.07917 
.07919 
.07931 
.07933 

8.90498 
.90508 
.90519 
.90530 

.08035 
.08037 
.08039 
.08041 

8.91136 
.91147 
.91157 
.91168 

.08154 
.08156 
.08158 
.08160 

8.91770 
.91780 
.91791 
.91801 

.08274 
.08376 

.08278 
.08380 

8.92398 
.92409 
.92419 
.92429 

.08394 
.08396 
.08398 
.08400 

16 
15 
14 
13 

+    12' 

49 
50 
51 

8.89897 
.89908 
.89919 
.89929 

.07934 
.07936 
.07938 
.07930 

8.90540 
.90551 
.90562 
.90572 

.08043 
.08045 
.08047 
.08049 

8.91179 
.91189 
.91200 
.91210 

.08163 
.08164 
.08166 
.08168 

8.91812 
.91822 
.91833 
.91843 

.08383 
.08384 
.08386 
.08288 

8.92440 
.92450 
.92401 
.92471 

.08403 
.08404 
.08406 
.08408 

12 

11 

10 

9 

+  13' 

53 
54 
55 

8.89940 
.89951 
.89962 
.89972 

.07933 
.07934 
.07936 
.07938 

8.90583 
.90594 
.90604 
.90615 

.08051 
.08053 
.08055 
.08057 

8.91221 
.91232 
.91242 
.91253 

.08170 
.08172 
.08174 
.08176 

8.91854 
.91864 
.91875 
.91885 

.08390 
.08393 
.08394 
.08396 

8.92482 
.92492 
.92502 
.92513 

.08410 
.08412 
.08414 
.08416 

8 
1 

6 
5 

4 
3 
2 
1 

+  ir 

57 
58 
59 

8.89983 
.89994 
.90005 
.90015 

.07940 
.07943 
.07944 
.07946 

8.90626 
.90636 
.90647 
.90658 

.08059 
.08061 
.08063 
.08065 

8.91263 
.91274 
.91284 
.91295 

.08178 
.08180 
.08183 
.08184 

8.91896 
.91906 
.91917 
.91927 

.08398 
.08300 
.08303 
.08304 

8.92523 
.92534 
.92544 
.92554 

.08418 
.08420 
.08423 
.08425 

+   15' 

8.90026 

.07948 

8.90668 

.08066 

8.91306 

.08186 

8.91938 

.08306 

8.92565 

.08427 

0 

21h49m 

21h4Sm 

21^  47m 

21h46m 

21h45m 

TABLE  IV. 

Haversines. 

[Page  71 

s 

2h  urn  33°  45' 

2h  16m  34°  0" 

2h  17m  34°  15' 

2^  18m  34°  SO' 

2h  19m  34°  45' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 

1 
2 
S 

8.92565 
.92575 
.92586 
.92596 

.08437 
.08429 
.08431 
.08433 

8.93187 
.93197 
.93208 
.93218 

.08548 
.08550 
.08552 
.08554 

8.93805 
.93815 
.93825 
.93835 

.08671 
.08673 
.08675 
.08677 

8.94417 
.94427 
.94438 
.94448 

.08794 
.08796 
.08798 
.08800 

8.95025 
.95035 
.95045 
.95055 

.08918 
.08920 
.08922 
.08924 

60 
59 

58 
57 

+    r 

5 

6 
7 

8.92607 
.92617 
.92627 
.92638 

.08435 
.08437 
.08439 
.08441 

8.93228 
.93239 
.93249 
.93259 

.08556 

.08558 
.08560 
.08562 

8.93846 
.93856 
.93866 
.93876 

.08679 
.08681 
.08683 
.08685 

8.94458 
.94468 
.94478 
.94488 

.08802 
.08804 
.08806 

.08808 

8.95065 
.95076 
.95086 
.95096 

.08926 
.08928 
.08930 
.08933 
.08934 
.08936 
.08938 
.08940 

56 
55 
54 
53 
62 
51 
50 
49 

+      r 

9 

10 
11 

8.92648 
.92659 
.92669 
.92679 

.08443 
.08445 
.08447 
.08449 

8.93270 
.93280 
.93290 
.93301 

.08564 
.08566 

.08568 
.08571 

8.93886 
.93897 
.93907 
.93917 

.08687 
.08689 
.08691 
.08693 

8.94498 
.94509 
.94519 
.94529 

.08810 
.08812 
.08814 
.08816 

8.95106 
.95116 
.95126 
.95136 

+      r 
13 
14 
15 

8.92690 
.92700 
.92710 
.92721 

.08451 
.08453 
.08455 
.08457 

8.93311 
.93321 
.93332 
.93342 

.08573 

.08575 
.08577 
.08579 

8.93927 
.93938 
.93948 
.93958 

.08695 
.08697 
.08699 
.08701 

8.94539 
.94549 
.94559 
.94570 

.08818 
.08820 

.08823 
.08825 

8.95146 
.95156 
.95166 
.95176 

.08943 
.08945 
.08947 
.08949 

48 
47 
46 
45 

+      4' 
17 
IS 
19 

8.92731 
.92742 
.92752 
.92762 

.08459 
.08461 
.08463 
.08465 

8.93352 
.93363 
.93373 
.93383 

.08581 
.08583 
.08585 
.08587 

8.93968 
.93979 
.93989 
.93999 

.08703 
.08705 
.08707 
.08709 

8.94580 
.94590 
.94600 
.94610 

.08827 
.08829 
.08831 
.08833 

8.95186 
.95197 
.95207 
.95217 

.08951 
.08953 
.08955 
.08957 

44 
43 
42 
41 

+  5' 
21 

22 
23 

8.92773 
.92783 
.92794 
.92804 

.08467 
.08469 
.08471 
.08473 

8.93393 
.93404 
.93414 
.93424 

.08589 
.08591 
.08593 
.08595 

8.94009 
.94019 
.91030 
.94040 

.08711 
.08714 
.08716 

.08718 

8.94620 
.94630 
.94641 
.94651 

.08835 
.08837 
.08839 
.08841 

8.95227 
.95237 
.95247 
.95257 

.08959 
.08961 
.08963 
.08965 

40 
39 

38 
37 

+      6^ 

25 
26 

27 

8.92814 
.92825 
.92835 
.92845 

.08475 
.08477 

.08479 
.08481 

8.93435 
.93445 
.93455 
.93466 

.08597 
.08599 
.08601 
.08603 

8.91050 
.94060 
.94071 
.94081 

.08720 

.08722 
.08724 
.08726 

8.94661 
.94671 
.94681 
.94691 

.08843 
.08845 
.08847 
.08849 

8.95267 
.95277 
.95287 
.95297 

.08967 
.08970 
.08973 
.08974 

36 

35 
34 
S3 

+    r 

29 
30 
31 

8.92856 
.92866 
.92877 
.92887 

.08483 
.08485 
.08487 
.08489 

8.93476 
.93486 
.93496 
.93507 

.08605 
.08607 
.08609 
.08611 

8.94091 
.94101 
.94111 
.94122 

.08728 
.08730 
.08732 
.08734 

8.94701 
.94712 
.94722 
.94732 

.08851 
.08853 
.08856 

.08858 

8.95307 
.95317 
.95327 
.95337 

.08976 
.08978 
.08980 
.08983 

32 
31 
SO 
29 

+      8^ 
33 
34 
35 

8.92897 
.92908 
.92918 
.92928 

.08491 
.08493 
.08495 
.08497 

8.93517 
.93527 
.93538 
.93548 

.08613 
.08615 
.08617 
.08619 

8.94132 
.94142 
.94152 
.94162 

.08736 
.08738 
.08740 
.08742 

8.94742 
.94752 
.94782 
.94772 

.08860 
.08862 
.08864 
.08866 

8.95347 
.95357 
.95368 
.95378 

.08984 
.08986 

.08988 
.08990 

28 
27 
26 
25 

+  9^ 

37 
38 
39 

8.92939 
.92949 
.92960 
.92970 

.08499 
.08501 
.08503 
.08505 

8.93558 
.93568 
.93579 
.93589 

.08621 
.08624 
.08626 

.08628 

8.94173 
.94183 
.94193 
.94203 

.08744 
.08746 
.08748 
.08750 

8.94782 
.94793 
.94803 
.94813 

.08868 
.08870 

.08872 
.08874 

8.95388 
.95398 
.95408 
.95418 

.08992 
.08994 
.08997 
.08999 

24 
23 
22 
21 
20 
19 
18 
17 

+  1(K 

41 

42 
43 

8.92980 
.92991 
.93001 
.93011 

.08508 
.08510 
.08512 
.08514 

8.93599 
.93610 
.93620 
.93630 

.08630 
.08632 
.08634 
.08636 

8.94213 
.94224 
.94234 
.94244 

.08753 
.08755 

.08757 
.08759 

8.94823 
.94833 
.94843 
.94853 

.08876 

.08878 
.08880 

.08883 

8.95428 
.95438 
.95448 
.95458 

.09001 
.09003 
.09005 
.09007 

+  ir 

45 
46 
47 

8.93022 
.93032 
.93042 
.93053 

.08516 
.08518 
.08520 
.08522 

8.93640 
.93651 
.93661 
.93671 

.08638 
.08640 
.08642 
.08644 

8.94254 
.94264 
.94275 
.94285 

.08761 
.08763 
.08765 
.08767 

8.94863 
.94874 
.94884 
.94894 

.08885 
.08887 
.08889 
.08891 

8.95468 
.95478 
.95488 
.95498 

.09009 
.09011 
.09013 
.09015 

16 
15 
14 
13 

+  ir 

49 
50 
51 

8.93063 
.93073 
.93084 
.93094 

.08524 
.08526 

.08528 
.08530 

8.93681 
.93692 
.93702 
.93712 

.08646 
.08648 
.08650 
.08652 

8.94295 
.94305 
.94315 
.94326 

.08769 
.08771 
.08773 
.08775 

8.94904 
.94914 
.94924 
.94934 

.08893 
.08895 
.08897 
.08899 

8.95508 
.95518 
.95528 
.95538 

.09017 
.09019 
.09023 
.09024 

12 

11 

10 

9 

+  13^ 

53 
54 
55 

8.93104 
.93115 
.93125 
.93135 

.08532 
.08534 
.08536 
.08538 

8.93722 
.93733 
.93743 
.93753 

.086^4 
.08656 
.08658 
.08660 

8.94336 
.94346 
.94356 
.94366 

.08777 
.08779 

.08781 
.08783 

8.94944 
.94954 
.94965 
.94975 

.08901 
.08903 
.08905 
.08907 

8.95548 
.95558 
.95568 
.95578 

.09036 
.09028 
.09030 
.09033 

8 
7 
6 
5 

57 
58 
59 

8.93146 
.93156 
.93166 
.93177 

.08540 
.08542 
.08544 
.08546 

8.93764 
.93774 
.93784 
.93794 

.08662 
.08664 
.08666 
.08668 

8.94376 
.94387 
.94397 
.94407 

.08785 
.08788 
.08790 
.08792 

8.94985 
.94995 
.95005 
.95015 

.08909 
.08911 
.08914 
.08916 

8.95588 
.95598 
.95608 
.95618 

.09034 
.09036 
.09038 
.09040 

4 
S 

2 
1 

+    15' 

8.93187 

.08548 

8.93805 

.08671 

8.94417 

.08794 

8.95025 

.08918 

8.95628 

.09042 

0 

21'h' 

44m 

21h 

43m 

21h 

42m 

21^ 

41m 

21^ 

40m 

Page  7 

2] 

TABLE  IV. 

Haversines. 

8 

2h  20m  35°  (K 

2h  21m  35°  15' 

2h  22^ 

35°  3r 

2k  23^  35°  45' 

2h  24m 

36°  r 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
3 

8.95628 
.95638 
.95648 
.95658 

.09042 
.09044 
.09047 
.09049 

8.96227 
.96237 
.96247 
.96257 

.09168 
.09170 
.09172 
.09174 

8.96821 
.96831 
.96841 
.96851 

.09294 
.09296 
.09298 
.09301 

8.97411 
.97421 
.97431 
.97441 

.09431 
.09433 
.09436 
.09438 

8.97997 
.98006 
.98016 
.98026 

.09549 
.09551 
.09553 
.09556 

60 
59 
58 
57 

+    r 

5 
6 

7 

8.95668 
.95678 
.95688 
.95698 

.09051 
.09053 
.09055 
.09057 

8.96267 
.96277 
.96287 
.96297 

.09176 
.09178 
.09181 
.09183 

8.96861 
.96871 
.96881 
.96890 

.09303 
.09305 
.09307 
.09309 

8.97450 
.97460 
.97470 
.97480 

.09430 
.09433 
.09434 
.09436 

8.98035 
.98045 
.98055 
.98065 

.09558 
.09560 
.09563 
.09564 

56 
55 
54 
53 

+     V 

9 

10 

11 

8.95709 
.95719 
.95729 
.95739 

.09059 
.09061 
.09063 
.09065 

8.96307 
.96317 
.96326 
.96336 

.09185 
.09187 
.09189 
.09191 

8.96900 
.96911) 
.96920 
.96930 

.09311 
.09313 
.09315 
.09317 

8.97489 
.97499 
.97509 
.97519 

.09438 
.09440 
.09443 
.09445 

8.98074 
.98084 
.98094 
.98103 

.09566 
.09568 
.09571 
.09573 

52 
51 
50 
49 
48 
47 
46 
45 

+      3' 

IS 
14 
15 

8.95749 
.95759 
.95769 
.95779 

.09067 
.09070 
.09073 
.09074 

8.96346 
.96356 
.96366 
.96376 

.09193 
.09195 
.09197 
.09199 

8.96940 
.96950 
.96959 
.96969 

.09320 
.09322 
.09324 
.09326 

8.97529 
.97538 
.97548 
.97558 

.09447 
.09449 
.09451 
.09453 

8.98113 
.98123 
.98132 
.98142 

.09575 
.09577 
.09579 
.09581 

+      *' 
17 
18 
19 

8.95789 
.95799 
.95809 
.95819 

.09076 
.09078 
.09080 
.09082 

8.96386 
.96396 
.96406 
.96416 

.09202 
.09204 
.09206 
.09208 

8.96979 
.96989 
.96999 
.97009 

.09328 
.09330 
.09332 
.99334 

8.97568 
.97577 
.97587 
.97597 

.09455 
.09457 
.09460 
.09463 

8.98152 
.98162 
.98171 
.98181 

.09583 
.09586 
.09588 
.09590 

44 
43 
42 
41 

+      ^ 
21 
22 
23 

8.95828 
.95838 
.95848 
.95858 

.09084 
.09088 
.09088 
.09030 

8.96426 
.96436 
.96446 
.96455 

.09210 
.09212 
.09214 
.09216 

8.97018 
.97028 
.97038 
.97048 

.09337 
.09339 
.09341 
.09343 

8.97607 
.97617 
.97626 
.97636 

.094W 
.09466 
.09468 
.09470 

8.98191 
.98200 
.98210 
.98220 

.09593 
.09594 
.09596 
.09598 

40 
39 
38 
37 

+    r 

25 
26 
27 

8.95868 
.95878 
.95888 
.95898 

.09033 
.09095 
.09097 
.09099 

8.96465 
.96475 
.96485 
.96495 

.09218 
.09220 
.09223 
.09225 

8.97058 
.97068 
.97077 
.97087 

.09345 
.09347 
.09349 
.09351 

8.97646 
.97656 
.97665 
.97675 

.09473 
.09474 
.09477 
.09479 

8.98229 
.98239 
.98249 
.9S259 

.09601 
.09603 
.09605 
.09607 

36 
35 
34 
33 

+    r 

29 
30 
31 

8.95908 
.95918 
.95928 
.95938 

.09101 
.09103 
.09105 
.09107 

8.96505 
.96515 
.96525 
.96535 

.09227 
.09229 
.09231 
.09233 

8.97097 
.97107 
.97117 
.97127 

.09353 
.09356 
.08358 
.09360 

8.97685 
.97695 
.97704 
.97714 

.09481 
.09483 
.09485 
.09487 

S.9S2bS 
.98278 
.98288 
.98297 

.09609 
.09611 
.09613 
.09616 

32 
31 
30 
29 

+     8' 
33 
34 

35 

8.95948 
.95958 
.95968 
.95978 

.09109 
.09111 
.09113 
.09116 

8.96545 
.96555 
.96564 
.96574 

.09235 
.09237 
.09239 
.09243 

8.97136 
.97146 
.97156 
.97166 

.09362 
.09364 
.09366 
.09368 

8.97724 
.97734 
.97743 
.97753 

.09489 
.09493 
.09494 
.09496 

8.9S307 
.98317 
.98326 
.98336 

.09618 
.09620 
.09622 
.09624 

28 
27 
26 
25 

24 
23 
22 
Vl 
20 
19 
18 

n 

+      9" 

37 
S8 
39 

8.95988 
.95998 
.96008 
.96018 

.09118 
.09120 
.09122 
.09124 

8.96584 
.96594 
.96604 
.96614 

.09244 
.09246 
.09248 
.09250 

8.97176 
.97186 
.97195 
.97205 

.09370 
.09372 
.03375 
.09377 

8.97763 
.97773 
.97782 
.97792 

.09498 
.09500 
.09503 
.09504 

8.98346 
.98355 
.98365 
.98375 

.09626 
.09628 
.09631 
.09633 

+    W 

41 
42 
43 

8.96028 
.96038 
.96048 
.96058 

.09126 
.09128 
.09130 
.09132 

8.96624 
.96634 
.96644 
.96653 

.09253 
.09254 
.09356 
.09258 

8.97215 
.97225 
.97235 
.97244 

.09379 
.09381 
.09383 
.09385 

8.97802 
.97812 
.97821 
.97831 

.09506 
.09509 
.09511 
.09513 

8.9S3S4 
.98394 
.98404 
.98413 

.09635 
.09637 
.09639 
.09641 

+    11' 

45 
46 
47 

8.96068 
.96078 
.96088 
.96098 

.09134 
.09136 
.09139 
.09141 

8.96663 
.96673 
.96683 
.96693 

.09260 
.09263 
.09265 
.09267 

8.97254 
.97264 
.97274 
.97284 

.09387 
.09389 
.09392 
.09394 

8.97841 
.97851 
.97860 
.97870 

.09515 
.09517 
.09519 
.09531 

8.98423 
.98433 

.98442 
.98452 

.09643 
.09646 
.09648 
.09650 

16 
15 
14 
13 

+    12' 

49 
50 
51 

8.96108 
.96118 
.96128 
.96138 

.09143 
.09145 
.09147 
.09149 

8.96703 
.96713 
.96723 
.96733 

.09269 
.09271 
.09373 
.09375 

8.97294 
.97303 
.97313 
.97323 

.09396 
.09398 
.09400 
.09402 

8.97880 
.97890 
.97899 
.97909 

.09534 
.09536 
.09538 
.09530 

8.9S4G2 
.98471 
.98481 
.98491 

.09652 
.09654 
.09656 
.09658 

12 
11 
10 
9 
8 
7 
6 
5 

+    13^ 

53 

54 

55 

8.96148 
.96158 
.96167 
.96177 

.09151 
.09153 
.09155 
.09157 

8.96742 
.96752 
.96762 
.96772 

.09277 
.09280 
.09383 
.09284 

8.97333 
.97343 
.97352 
.97362 

.09404 
.09406 
.09409 
.09411 

8.97919 
.97928 
.97938 
.97948 

.09533 
.09534 
.09536 
.09538 

8.98500 
.98510 
.98520 
.98529 

.09661 
.09663 
.09665 
.09667 

+    1¥ 

57 
58 
59 

8.96187 
.96197 
.96207 
.96217 

.09160 
.09162 
.09164 
.09166 

8.96782 
.96792 
.96802 
.96812 

.09386 
.09288 
.09290 
.09292 

8.97372 
.97382 
.97392 
.97401 

.09413 
.09415 
.09417 
.09419 

8.97958 
.97967 
.97977 
.97987 

.09541 
.09543 
.09545 
.09547 

8.98539 
.98549 
.98558 
.98568 

.09669 
.09671 
.09673 
.09676 

4 
3 
0 

1 

+    15^ 

8.96227 

.09168 

8.96821 

.09294 

8.97411 

.09431 

8.97997 

.09549 

8.98578 

.09678 

0 

21f^ 

39m 

21^ 

38^ 

21f>' 

37m 

2in 

36^ 

21^ 

35m 

TABLE  IV                   [Page  73 
Haversines. 

s 

2^  25m  36°  15' 

2h  26m  36°  30' 

2h  27m  36°  45' 

2^  2Sm  37°  0' 

2h  29m  37°  15' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 
2 
S 

8.98578 
.98587 
.98597 
.98606 

.09678 
.09680 
.09683 
.09684 

8.99154 
.99164 
.99173 
.99183 

.09807 
.09809 
.09811 
.09814 

8.99727 
.99736 
.99746 
.99755 

.09937 
.09939 
.09942 
.09944 

9.00295 
.00305 
.00314 
.00324 

.10068 
.10070 
.10073 
.10075 

9.00860 
.00869 
.00878 
.00888 

.10200 
.10202 
.10304 
.10306 

60 
59 
58 
57 

+  V 
5 

6 

7 

'8.98616 
.98626 
.98635 
.98645 

.09686 
.09689 
.09691 
.09693 

8.99193 
.99202 
.99212 
.99221 

8.99231 
.99240 
.99250 
.99260 

.09816 
.09818 
.09830 
.09833 
.09834 
.09837 
.09839 
.09831 

8.99765 
.99774 
.99784 
.99793 

.09946 
.09948 
.09950 
.09953 
.09955 
.09957 
.09959 
.09961 

9.00333 
.00342 
.00352 
.00361 

.10077 
.10079 
.10081 
.100S4 
.10086 
.10088 
.10090 
.10092 

9.00897 
.00906 
.00916 
.00925 

.10309 
.10311 
.10213 
.10315 
.10318 
.10330 
.10332 
.10324 

56 
55 
54 
53 
52 
51 
50 
49 

+      3^ 

9 

10 

11 

8.98655 
.98664 
.98674 
.98684 

.09695 
.09697 
.09699 
.09701 

8.99803 
.99812 
.99822 
.99831 

9.00371 
.00380 
.00390 
.00399 

9.00935 
.00944 
.00953 
.00963 

+      3^ 

IS 
14 
15 

8.98693 
.98703 
.98712 
.98722 

.09704 
.09706 
.09708 
.09710 

8.99269 
.99279 
.99288 
.99298 

.09833 
.09835 
.09837 
.09840 

8.99841 
.99850 
.99860 
.99869 

.09963 
.09966 
.09968 
.09970 

9.00408 
.00418 
.00427 
.00437 

.10095 
.10097 
.10099 
.10101 

9.00972 
.00981 
.00991 
.01000 

.10326 
.10228 
.10231 
.10233 

48 
47 
46 
45 

+     i' 
17 
18 
19 

8.98732 
.98741 
.98751 
.98761 

.09712 
.09714 
.09717 
.09719 

8.99307 
.99317 
.99327 
.99336 

.09843 
.09844 
.09846 
.09848 

8.99879 
.99888 
.99898 
.99907 

.09973 
.09974 
.09977 
.09979 

9.00446 
.00456 
.00465 
.00474 

.10103 
.10105 
.10108 
.10110 

9.01009 
.01019 
.01028 
.01037 

.10235 
.10237 
.10240 
.10242 

U 
43 
42 
41 
40 
39 
38 
37 

+      5' 
21 
22 
23 

8.98770 
.98780 
.98790 
.98799 

.09731 
.09733 
.09735 
.09737 

8.99346 
.99355 
.99365 
.99374 

.09850 
.09853 
.09855 
.09857 

8.99917 
.99926 
.99936 
.99945 

.09981 
.09983 
.09985 
.09987 

9.00484 
.00493 
.00503 
.00512 

.10112 
.10114 
.10116 
.10119 

9.01047 
.01056 
.01065 
.01075 

.10244 
.10246 
.10248 
.10251 

+   6^ 

25 
26 
27 

8.98809 
.98818 
.98828 
.98838 

.09739 
.09733 
.09734 
.09736 

8.99384 
.99393 
.99403 
.99412 

.09859 
.09861 
.09863 
.09866 

8.99955 
.99964 
.99974 
.99983 

.09990 
.09993 
.09994 
.09996 

9.00522 
.00531 
.00540 
.00550 

.10121 
.10133 
.10125 
.10137 

9.01084 
.01094 
.01103 
01112 

.10253 
.10255 
.10257 
.10259 

36 
35 
34 
33 

+    r 

29 
30 
31 

8.98847 
.98857 
.98866 
.98876 

.09738 
.09740 
.09743 
.09745 

8.99422 
.99432 
.99441 
.99451 

.09868 
.09870 
.09873 
.09874 

8.99993 

9.00002 

.00012 

.00021 

.09998 
.10000 
.10003 
.10005 

9.00559 
.00569 
.00578 
.00587 

.10130 
.10133 
.10134 
.10136 

9.01122 
.01131 
.01140 
.01150 

.10262 
.10264 
.10266 
.10268 

32 
31 
30 
29 

+      8' 
33 
34 
35 

8.98886 
.98895 
.98905 
.98915 

.09747 
.09749 
.09751 
.09753 

8.99460 
.99470 
.99479 
.99489 

.09876 
.09879 
.09881 
.09883 

9.00031 
.00040 
.00049 
.00059 

.10007 
.10009 
.10011 
.10014 

9.00597 
.00606 
.00616 
.00625 

.10138 
.10141 
.10143 
.10145 

9.01159 
.01168 
.01178 
.01187 

.10270 
.10373 
.10275 
.10277 
.10279 
.10281 
.10284 
.10286 

28 
27 
26 

25 

24 
23 
22 
21 

+      9" 

37 
38 
39 

8.98924 
.98934 
.98943 
.98953 

.09755 
.09757 
.09760 
.09763 

8.99498 
.99508 
.99517 
.99527 

.09885 
.09887 
.09890 
.09892 

9.00068 
.00078 
.00087 
.00097 

.10016 
.10018 
.10030 
.10033 

9.00634 
.00644 
.00653 
.00663 

.10147 
.10149 
.10152 
.10154 

9.01196 
.01206 
.01215 
.01224 

+  W 

41 

42 
43 

8.98963 
.98972 
.98982 
.98991 

.09764 
.09766 
.09768 
.09770 

8.99536 
.99546 
.99556 
.99565 

.09894 
.09896 
.09898 
.09900 

9.00106 
.00116 
.00125 
.00135 

.10035 
.10037 

.10029 
.10031 

9.00672 
.00681 
.00691 
.00700 

.10156 
.10158 
.10160 
.10163 

9.01234 
.01243 
.01252 
.01262 

.10288 
.10290 
.10293 
.10395 

20 
19 
18 
17 
16 
15 
14 
IS 

+    ir 

45 
46 
47 

8.99001 
.99011 
.99020 
.99030 

.09773 
.09775 
.09777 
.09779 

8.99575 
.99584 
.99594 
.99603 

.09903 
.09905 
.09907 
.09909 

9.00144 
.00154 
.00163 
.00172 

.10033 
.10035 
.10038 
.10040 

9.00710 
.00719 
.00728 
.00738 

.10165 
.10167 
.10169 
.10171 

9.01271 
.01280 
.01289 
.01299 

.10397 
.10399 
.10301 
.10304 

+  n' 

49 
50 
51 

8.99039 
.99049 
.99058 
.99068 

.09781 
.09783 
.09786 

.09788 

8.99613 
.996.22 
.99^:32 
.99641 

.09911 
.09913 
.09916 
.09918 

9.00182 
.00191 
.00201 
.00210 

.10042 
.10044 
.10046 
.10049 

9.00747 
.00756 
.00766 
.00775 

.10174 
.10176 
.10178 
.10180 

9.01308 
.01317 
.01327 
.01336 

.10306 
.10308 
.10310 
.10312 

12 

11 

10 

9 

+  W 

53 
54 
55 

8.99078 
.99087 
.99097 
.99106 

.09790 
.09792 
.09794 
.09796 

8.99651 
.99660 
.99670 
.99679 

.09930 
.09933 
.09934 
.09936 

9.00220 
.00229 
.00239 
.00248 

.10051 
.10053 
.10055 
.10057 

9.00785 
.00794 
.00803 
.00813 

.10182 
.10184 
.10187 
.10189 

9.01345 
.01355 
.01364 
.01373 

.10315 
.10317 
.10319 
.10321 

8 
7 
6 
5 

57 
58 
59 

8.99116 
.99126 
.99135 
.99145 

.09799 
.09801 
.09803 
.09805 

8.99689 
.99698 
.99708 
.99717 

.09939 
.09931 
.09933 
.09935 

9.00258 
.00267 
.00276 
.00286 

.10059 
.10062 
.10064 
.10066 

9.00822 
.00831 
.00841 
.00850 

.10191 
.10193 
.10196 
.10198 

9.01383 
.01392 
.01401 
.01411 

.10323 
.10326 
.10338 
.10330 

4 
3 

0 

*^ 

1 

+  15^ 

8.99154 

.09807 

8.99727 

.09937 

9.00295 

.10068 

9.00860 

.10200 

9.01420 

.10333 

0 

2lh  34m 

21h  33m 

2111  32^ 

2lh  3im 

2lh  SOm 

Page  74]                  TABLE  IV. 

Havereines. 

s 

2^  SOm  37°  Sr 

2h  3m  37°  45' 

2h  32m  38°  O'  1  2h  33m  38°  15' 

2h  34'^  38°  30' 

s 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

0 
1 

2 
3 

9.01420 
.01429 
.01438 
.01448 

.10333 
.10335 
.10337 
.10339 

9.01976 
.01985 
.01995 
.02004 

.10466 
.10468 
.10470 
.10473 

9.02528 
.02538 
.02547 
.02556 

.10599 
.10603 
.10004 
.10606 

9.03077 
.03086 
.03095 
.03104 

.10734 
.10736 
.10739 
.10741 

9.03621 
.03630 
.03639 
.03648 

.10870 
.10873 
.10874 
.10879 

60 
59 
58 
57 

+    r 

5 
6 

7 

9.01457 
.01466 
.01476 
.01485 

.10341 
.10343 
.10346 
.10348 

9.02013 
.02022 
.02031 
.02041 

.10474 
.10477 
.10479 
.10481 

9.02565 
.02574 
.02583 
.02593 

.10608 
.10611 
.10613 
.10615 

9.03113 
.03122 
.03131 
.03141 

.10743 
.10745 
.10748 
.10750 

9.03657 
.03667 
.03676 
.03685 

.10879 
.10881 
.10883 
.10885 

56 

55 
54 
53 

+      3^ 

9 

10 

11 

9.01494 
.01504 
.01513 
.01522 

.10350 
.10353 
.10354 
.10357 

9.02050 
.02059 
.02068 
.02078 

.10483 
.10486 
.10488 
.10490 

9.02602 
.02611 
.02620 
.02629 

.10617 
.10630 
.10633 
.10634 

9.03150 
.03159 
.03168 
.03177 

.10753 
.10754 
.10757 
.10759 

9.03694 
.03703 
.03712 
.03721 

.10888 
.10890 
.10893 
.10895 

52 
51 
50 
49 

+      3' 

13 
14 
15 

9.01531 
.01541 
.01550 
.01559 

.10359 
.10361 
.10363 
.10366 

9.02087 
.02096 
.02105 
.02115 

.10493 
.10494 
.10497 
.10499 

9.02638 
.02648 
.02657 
.02666 

.10636 
.10639 
.10631 
.10633 

9.03186 
.03195 
.03204 
.03213 

.10761 
.10763 
.10766 
.10768 

9.03730 
.03739 
.03748 
.03757 

.10897 
.10899 
.10901 
.10904 

48 
47 
46 
45 

44 
43 
42 
41 

+  i' 
17 
18 
19 

9.015G9 
.01578 
.01587 
.01596 

.10368 
.10370 
.10373 
.10374 

9.02124 
.02133 
.02142 
.02151 

.10501 
.10503 
.10506 
.10508 

9.02675 
.02684 
.02693 
.02702 

.10635 
.10638 
.10640 
.10643 

9.03222 
.03231 
.03241 
.03250 

.10770 
.10773 
.10775 
.10777 

9.03766 
.03775 
.03784 
.03793 

.10906 
.10908 
.10910 
.10913 

+      5^ 
21 

22 
73 

9.01606 
.01615 
.01624 
.01634 

.10377 
.10379 
.10381 
.10383 

9.02161 
.02170 
.02179 
.02188 

.10510 
.10513 
.10515 
.10517 

9.02712 
.02721 
.02730 
.02739 

.10644 
.10647 
.10649 
.10651 

9.03259 
.03268 
.03277 
.03286 

.10779 
.10781 
.10784 
.10786 

9.03802 
.03811 
.03820 
.03829 

.10915 
.10917 
.10919 
.10933 

40 
39 
38 

37 

+   6' 

25 
26 
27 

9.01643 
.01652 
.01661 
.01671 

.10386 
.10388 
.10390 
.10393 

9.02197 
.02207 
.02216 
.02225 

.10519 
.10531 
.10533 
.10536 

9.02748 
.02757 
.02767 
.02776 

.10653 
.10655 
.10658 
.10660 

9.03295 
.03304 
.03313 
.03322 

.10788 
.10790 
.10793 
.10795 

9.03838 
.03847 
.03856 
.03865 

.10934 
.10936 
.10939 
.10931 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.01680 
.01689 
.01698 
.01708 

.10394 
.10397 
.10399 
.10401 

9.02234 
.02244 
.02253 
.02262 

.10538 
.10530 
.10533 
.10535 

9.02785 
.02794 
.02803 
.02812 

.10663 
.10664 
.10667 
.10669 

9.03331 
.03340 
.03350 
.03359 

.10797 
.10799 
.10803 
.10804 

9.03874 
.03883 
.03892 
.03901 

.10933 
.10935 
.10938 
.10940 

32 
31 
30 
29 

+   8' 
33 
34 
35 

9.01717 
.01726 
.01736 
.01745 

.10403 
.10405 
.10408 
.10410 

9.02271 
.02280 
.02290 
.02299 

.10537 
.10539 
.10541 
.10544 

9.02821 
.02830 
.02840 
.02849 

.10671 
.10673 
.10676 
.10678 

9.03368 
.03377 
.03386 
.03395 

.10806 
.10809 
.10811 
.10813 

9.03910 
.03919 
.03928 
.03937 

.10943 
.10944 
.10947 
.10949 

28 
27 
26 

25 

24 
23 
22 
21 

+      9" 

r;7 
38 
39 

9.01754 
.01763 
.01773 

.01782 

.10413 
.10414 
.10417 
.10419 

9.02308 
.02317 
.02326 
.02336 

.10546 
.10548 
.10550 
.10553 

9.02858 
.02867 
.02876 
.02885 

.10680 
.10683 
.10685 
.10687 

9.03404 
.03413 
.03422 
.03431 

.10815 
.10818 
.10830 
.10833 

9.03946 
.03955 
.03964 
.03973 

.10951 
.10953 
.10956 
.10958 

+  10^ 

41 

42 
43 

9.01791 
.01800 
.01810 
.01819 

.10431 
.10433 
.10435 
.10438 

9.02345 
.02354 
.02363 
.02372 

.10555 
.10557 
.10559 
.10561 

9.02894 
.02904 
.02913 
.02922 

.10689 
.10691 
.10694 
.10696 

9.03440 
.03449 
.03458 
.03467 

.10834 
.10837 
.10839 
.10831 

9.03982 
.03991 
.04000 
.04009 

.10960 
.10963 
.10965 
.10967 

20 
19 
18 
17 

+  ir 

45 

46 
47 

9.01828 
.01837 
.01847 
.01856 

.10430 
.10433 
.10434 
.10436 

9.02381 
.02391 
.02400 
.02409 

.10564 
.10566 
.10568 
.10570 

9.02931 
.02940 
.02949 
.02958 

.10698 
.10700 
.10703 
.10705 

9.03476 
03486 
.03495 
.03504 

.10833 
.10836 
.10838 
.10840 

9.04018 
.04027 
.04036 
.04045 

.10969 
.10973 
.10974 
.10976 

16 
15 
14 
13 

+  12' 

49 
50 
51 

9.01865 
.01874 
.01884 
.01893 

.10439 
.10441 
.10443 
.10445 

9.02418 
.02427 
.02437 
.02446 

.10573 
.10575 
.10577 
.10579 

9.02967 
.02977 
.02986 
.02995 

.10707 
.10709 
.10713 
.10714 

9.03513 
.03522 
.03531 
.03540 

.10843 
.10845 
.10847 
.10849 

9.04054 
.04063 
.04072 
.04081 

.10978 
.10981 
.10983 
.10985 

12 

11 

10 

9 

+  13' 

53 

54 

55 

9.01902 
.01911 
.01921 
.01930 

.10448 
.10450 
.10453 
.10454 

9.02455 
.02464 
.02473 
.02483 

.10583 
.10584 
.10586 
.10588 

9.03004 
.03013 
.03022 
.03031 

.10716 
.10718 
.10731 
.10733 

9.03549 
.03558 
.03567 
.03576 

.10851 
.10854 
.10856 

.10858 

9.04090 
.04099 
.04108 
.04117 

.10988 
.10990 
.10993 
.10994 

8 
7 
6 
5 

4 
3 

2 

+  W 

57 
58 
59 

9.01939 
01948 
.01958 
.01967 

.10457 
.10459 
.10461 
.10463 

9.02492 
.02501 
.02510 
.02519 

.10591 
.10593 
.10595 
.10597 

9.03040 
.03050 
.03059 
.03068 

.10735 
.10737 
.10730 
.10733 

9.03585 
.03594 
.03603 
.03612 

.10861 
.10863 
.10865 
.10867 

9.04126 
.04135 
.04144 
.04153 

.10997 
.10999 
.11001 
.11004 

+  15' 

9.01976 

.10486 

9.02528 

.10599 

9.03077 

.10734 

9.03621 

.10870 

9.04162 

.11006 

0 
— 

21  h  29m 

21^  28'"^ 

2lTi27m          1 

21'!^  26m           j 

21h25m 

TABLE  IV. 

Haveraines. 

[Page  75 

s 

f  ft  55"» 

38*  45'  j  ift  56'" 

39°  r 

2h  37m 

39°  16' 

f  ft  S8m  39°  SO' 

f  ft  S9m  39°  45' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  nav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

.-> 

3 

9.04162 
.04171 
.04180 
.04189 

.11006 
.11008 
.11010 
.11013 

9.04699 
.04708 
.04717 
.04726 

.11143 
.11145 
.11147 
.11150 

9.05232 
.05241 
.05250 
.05259 

.11380 
.11383 
.11385 
.11387 

9.05762 
.05771 
.05780 
.05788 

.11419 
.11431 
.11433 
.11436 

9.06288 
.06297 
.06305 
.06314 

.11558 
.11560 
.11563 
.11565 

60 
59 
58 
57 

5 

6 

7 

9.04198 
.04207 
.04216 
.04225 

.11015 
.11017 
.11019 
.11033 

9.04735 
.04744 
.04753 
.04761 

.11153 
.11154 
.11156 
.11159 

9.05268 
.05277 
.05285 
.05294 

.11390 
.11393 
.11394 
.11396 

9.05797 
.05806 
.05815 
.05823 

.11438 
.11430 
.11433 
.11435 

9.06323 
.06332 
.06340 
.06349 

.11567 
.11569 
.11573 
.11574 

56 
55 
54 
53 

+      3' 

.9 

10 

11 

9.04234 
.04243 
.04252 
.04261 

.11034 
.11036 
.11039 
.11031 

9.04770 
.04779 

.04788 
.04797 

.11161 
.11163 
.11166 
.11163 

9.05303 
.05312 
.05321 
.05330 

.11399 
.11301 
.11303 
.11306 

9.05832 
.05841 
.05850 
.05859 

.11437 
.11440 
.11443 
.11444 

9.06358 
.06367 
.06375 
.06384 

.11577 
.11579 
.11581 
.11584 

52 
51 
50 
49 

+      3' 

13 
14 
15 

9.04270 
.04279 
.04288 
.04297 

.11033 
.11035 
.11038 
.11040 

9.04806 
.04815 
.04824 
.04833 

.11170 
.11173 
.11175 
.11177 

9.05339 
.05347 
.05356 
.05365 

.11308 
.11310 
.11313 
.11315 

9.05867 
.05876 
.05885 
.05894 

.11447 
.11449 
.11451 
.11453 

9.06393 
.06401 
.06410 
.06419 

.U586 
.11588 
.11590 
.11593 

48 
47 
46 
45 

44 
43 
42 
41 
40 
39 
38 
37 

+      i' 
17 
18 
19 

9.04306 
.04315 
.04324 
.04333 

.11043 
.11044 
.11047 
.11049 

9.04842 
.04851 
.04859 
.04868 

.11179 
.11183 
.11184 
11186 

9.05374 
.05383 
.05392 
.05400 

.11317 
.11330 
.11333 
.11334 

9.0.5903 
.05911 
.05920 
.05929 

.11456 
.11458 
.11460 
.11463 

9.06428 
.06436 
.06445 
.06454 

.11595 
.11597 
.11600 
.11603 

+   5^ 
21 
22 
23 

9.04341 
.04350 
.04359 
.04368 

.11051 
.11054 
.11056 
.11058 

9.04877 
.04886 
.04895 
.04904 

.11189 
.11191 
.11193 
.11195 

9.05409 
.05418 
.05427 
.05436 

.11336 
.11339 
.11331 
.11333 

9.05938 
.05946 
.05955 
.05964 

.11465 
.11467 
.11470 
.11473 

9.06482 
.06471 
.06480 
.06489 

.11604 
.11607 
.11609 
.11611 

+      6^ 

25 
26 

27 

9.04377 
.04386 
.04395 
.04404 

.11060 
.11063 
.11065 
.11067 

9.04913 
.04922 
.04931 
.04939 

.11198 
.11300 
.11303 
.11305 

9.05445 
.05453 
.05462 
.05471 

.11336 
.11338 
.11340 
.11343 

9.05973 
.05982 
.05990 
.05999 

.11474 
.11477 
.11479 
.11481 

9.06497 
.06506 
.06515 
.06523 

.11614 
.11616 
.11618 
.11631 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.04413 
.04422 
.04431 
.04440 

.11070 
.11073 
.11074 
.11076 

9.04948 
.04957 
.04966 
.04975 

.11307 
.11309 
.11311 
.11314 

9.05480 
.05489 
.05498 
.05506 

.11345 
.11347 
.11349 
.11353 

9.06008 
.06017 
.06025 
.06034 

.11484 
.11486 
.11488 
.11491 

9.06532 
.06541 
.06550 
.06558 

.11633 
.11635 
.11638 
.11630 

32 
31 
30 
29 

+   8^ 
33 
34 
35 

9.04449 
.04458 
.04467 
.04476 

.11079 
.11081 
.11083 
.11086 

9.04984 
.04993 
.05002 
.0.5011 

.11316 
.11318 
.11331 
.11333 

9.05515 
.05524 
.05533 
.05542 

.11354 
.11356 
.11359 
.11361 

9.06043 
.06052 
.06060 
.06069 

.11493 
.11495 
.11498 
.11500 

9.06567 
.06576 
.06584 
.06-593 

.11633 
.11635 
.11637 
.11639 

28 

27 
26 

25 

+   9^ 

.57 
38 
39 

9.04485 
.04494 
.04503 
.04512 

.11088 
.11090 
.11093 
.11095 

9.05019 
.05028 
.05037 
.05046 

.11335 

.11338 
.11330 
.11333 

9.05551 
.05559 
.05568 
.05577 

.11363 
.11366 
.11368 
.11370 

9.06078 
.06087 
.06095 
.06104 

.11503 
.11504 
.11507 
.11509 

9.06602 
.06611 
.06619 
.06628 

.11643 
.11644 
.11646 
.11649 

24 
23 
22 
"21 

+  W 

41 

42 
43 

9.04520 
.04529 
.04538 
.04547 

.11097 
.11099 
.11103 
.11104 

9.050.55 
.05064 
.05073 
.05082 

.11334 
.11337 
.11339 
.11341 

9.05586 
.0.5595 
.05603 
.05612 

.11373 
.11375 
.11377 
.11379 

9.06113 
.06122 
.06131 
.06139 

.11511 
.11514 
.11516 
.11518 

9.06637 
.06645 
.06654 
.06663 

.11651 
.11653 
.11656 
.11658 

20 
19 
18 
17 

+  11^ 

45 
46 
47 

9.04556 
.04565 
.04574 
.04583 

.11106 
.11108 
.11111 
.11113 

9.05090 
.05099 
.05108 
.05117 

.11344 
.11346 
.11348 
.11351 

9.05621 
.05630 
.05639 
.05648 

.11383 
.11384 
.11386 
.11389 

9.06148 
.06157 
.06166 
.06174 

.11531 
.11533 
.11535 
.11538 

9.06671 
.06680 
.06689 
.06697 

.11660 
.11663 
.11665 
.11667 

16 
15 
14 
13 

49 
50 
51 

9.04592 
.04601 
.04610 
.04619 

.11115 
.11117 
.11130 
.11133 

9.05126 
.05135 
.05144 
.05153 

.11353 
.11355 
.11357 
.11360 

9.05656 
.05665 
.05674 
.05683 

.11391 
.11393 
.11396 
.11398 

9.06183 
.06192 
.06201 
.06209 

.11530 
.11533 
.11535 
.11537 

9.06706 
.06715 
.06724 
.06732 

.11670 
.11673 
.11674 
.11677 

12 

11 

10 

9 

+  13^ 

53 
54 
55 

9.04628 
.04637 
.04646 
.04654 

.11134 
.11137 
.11139 
.11131 

9.05161 
.05170 
.05179 
.05188 

.11363 
.11364 
.11367 
.11369 

9.05692 
.05700 
.05709 
.05718 

.11400 
.11403 
.11405 
.11407 

9.06218 
.06227 
.06235 
.06244 

.11539 
.11543 
.11544 
.11546 

9.06741 
.06750 
.06758 
.06767 

.11679 
.11681 
.11684 
.11686 

8 
7 
6 
5 

+  W 

57 
58 
59 

9.04663 
.04672 
.04681 
.04690 

.11134 
.11136 
.11138 
.11140 

9.05197 
.05206 
.05215 
.05223 

.11371 
.11374 
.11376 
.11378 

9.05727 
.05736 
.05744 
.057.53 

.11410 
.11413 
.11414 
.11416 

9.06253 
.06262 
.06270 
.06279 

.11549 
.11551 
.11553 
.11556 

9.06776 
.06784 
.06793 
.06802 

.11688 
.11691 
.11693 

.11695 

4 
3 

2 
1 

-r    15^ 

9.04699 

.11143 

9.05232 

.11380 

9.05762 

.11419 

9.062S8 

.11558 

9.06810 

.11698 

0 

21h 

24"^ 

21h 

2.3m 

21^ 

22>n 

21^ 

21m 

21h 

20m 

Page  76]                  TABLE  IV. 

Haversinea. 

s 

2h  40^  40°  0' 

2h  4im  40°  15' 

2h  42m  40°  SO' 

^ft  43m  40°  45' 

2li  44m  41°  0' 

s 

Log.  Hav. 

Nat.  Ilav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
S 

9.06810 
.06819 
.06828 
.06836 

.11698 
.11700 
.11702 
.11705 

9.07329 
.07338 
.07346 
.07355 

.11838 
.11841 
.11843 
.11845 

9.07845 
.07853 
.07862 
.07870 

.11980 
.11982 
.11984 
.11987 

9.08357 
.08365 
.08374 
.08382 

.12122 
.12124 
.12127 
.12129 

9.08865 

.08874 
.08882 
.08890 

.13265 
.12267 
.12269 
.12272 

60 
59 
58 
57 

+    r 

5 
6 
7 

9.06845 
.06854 
.06862 
.06871 

.11707 
.11709 
.11712 
.11714 

9.07364 
.07372 
.07381 
.07390 

.11848 
.11850 
.11852 
.11855 

9.07879 
.07887 
.07896 
.07905 

.11989 
.11992 
.11994 
.11996 

9.08391 
.08399 
.08408 
.08416 

.12131 
.12134 
.12136 
.12138 

9.08899 
.08907 
.08916 
.08924 

.12274 
.12276 
.12279 
.12281 

56 
55 
54 
53 

+      r 

9 

10 

11 

9.06880 
.06888 
.06897 
.06906 

.11716 
.11719 
.11721 
.11724 

9.07398 
.07407 
.07415 

.07424 

.11857 
.11860 
.11862 
.11864 

9.07913 
.07922 
.07930 
.07939 

.11999 
.12001 
.12003 
.12006 

9.08425 
.08433 
.08442 
.08450 

.12141 
.12143 
.12146 
.12148 

9.08933 
.08941 
.08949 
.08958 

.12284 
.12286 

.12288 
.12291 

52 
51 
50 
49 
48 
47 
46 
45 

+   3' 

13 
14 
15 

9.06914 
.06923 
.06932 
.06940 

.11726 
.11728 
.11731 
.11733 

9.07433 
.07441 
.07450 
.07458 

.11867 
.11869 
.11871 
.11874 

9.07947 
.07956 
.07964 
.07973 

.12008 
.12010 
.12013 
.12015 

9.08459 
.08467 
.08475 
.08484 

.12150 
.12153 
.12155 
.12157 

9.08966 
.08975 
.08983 
.08992 

.12293 
.12296 
.12298 
.12300 

+   4^ 
17 
18 
19 

9.06949 
.06958 
.06966 
.06975 

.11735 
.11738 
.11740 
.11742 

9.07467 
.07476 
.07484 
.07493 

.11876 
.11878 
.11881 

.11883 

9.07981 
.07990 

■  .07999 
.08007 

.12018 
.12020 
.12022 
.12025 

9.08492 
.08501 
.08509 
.08518 

.12160 
.12162 
.12165 
.12167 

9.09000 
.09009 
.09017 
.09025 

.12303 
.12305 
.12307 
.12310 

44 
43 
42 
41 

+  5' 
21 

22 
23 

9.06984 
.06992 
.07001 
.07010 

.11745 
.11747 
.11749 
.11752 

9.07501 
.07510 
.07519 

.07527 

.11885 
.11888 
.11890 
oll892 

9.08016 
.08024 
.08033 
.08041 

.12027 
cl2029 
.12032 
.12034 

9.08526 
.08535 
.08543 
.08552 

.12169 
.12172 
.12174 
.12176 

9.09034 
.09042 
.09051 
.09059 

.12312 
.12315 
.12317 
.12319 

40 
39 
38 
37 

+     6' 

25 
26 
27 

9.07018 
.07027 
.07036 
.07044 

.11754 
.11756 
.11759 
.11761 

9.07536 
.07544 
.07553 
.07562 

.11895 

.11897 
.11900 
.11902 

9.08050 
.08058 
.08067 
.08075 

.12036 
.12039 
.12041 
.12044 

9.08560 
.08569 
.08577 
.08586 

.12179 
.12181 
.12184 
.12186 

9.09068 
.09076 
.09084 
.09093 

.12322 
.12324 
.12327 
.12329 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.07053 
.07062 
.07070 
.07079 

.11763 
.11766 
.11768 
.11770 

9.07570 
.07579 
.07587 
.07596 

.11904 
.11907 
.11909 
.11911 

9.08084 
.08092 
.08101 
.08110 

.12046 
.12048 
.12051 
.12053 

9.08594 
.08603 
.08611 
.08620 

.12188 
.12191 
cl2193 
.12195 

9.09101 
.09110 
.09118 
.09126 

.12331 
.12334 
.12336 
.12339 

32 
31 
30 
29 

+      ^ 

S3 
34 
35 

9.07088 
.07096 
.07105 
.07113 

.11773 
.11775 
.11777 

.11780 

9.07605 
.07613 
.07622 
.07630 

.11914 
.11916 
.11918 
.11921 

9.08118 
.08127 
.08135 
.08144 

.12055 
.12058 
.12060 
.12062 

9.08628 
.08637 
.08645 
.08654 

.12198 
.12200 
.12203 
.12205 

9.09135 
.09143 
.09152 
.09160 

.13341 
.13343 
.12346 
.12348 

28 

27 
26 

25 

+  9^ 

37 
38 
39 

9.07122 
.07131 
.07139 
.07148 

.11782 
.11784 
.11787 
.11789 

9.07639 
.07647 
.07656 
.07665 

.11923 
.11925 
.11928 
.11930 

9.08152 
.08161 
.08169 
.08178 

.12065 
.12067 
.12070 
.12072 

9.08662 
.08671 
.08679 
.08687 

.12207 
.12210 
.12212 
.12214 

9.09169 
.09177 
.09185 
.09194 

.13351 
.13353 
.12355 
.12358 

24 
23 
22 
21 

+  W 

41 
42 
43 

9.07157 
.07165 
.07174 
.07183 

.11791 
.11794 
.11796 
.11798 

9.07673 
.07682 
.07690 
.07699 

.11933 
.11935 
.11937 
.11940 

9.08186 
.08195 
.08203 
.08212 

.12074 
.12077 
.12079 
.12081 

9.08696 
.08704 
.08713 
.08721 

.12217 
.12219 
.12222 
.12224 

9.09202 
.09211 
.09219 
.09227 

.12360 
.12363 
.12365 
.12367 

20 
19 
18 
17 

+  ir 

45 
46 

47 

9.07191 
.07200 
.07208 
.07217 

.11801 
.11803 
.11806 
.11808 

9.07708 
.07716 
.07725 
.07733 

.11942 
.11944 
.11947 
.11949 

9.08220 
.08229 
.08237 
.08246 

.12084 
.12086 
.12089 
.12091 

9.08730 
.08738 
.08747 

.08755 

.12226 
.12229 
.12231 
.12233 

9.09236 
.09244 
.09253 
.09261 

.13370 
.12372 
.12374 
.12377 

16 
15 
14 
IS 

12 

11 

10 

9 

+    12' 

49 
50 
51 

9.07226 
.07234 
.07243 
.07252 

.11810 
.11813 
.11815 
.11817 

9.07742 
.07750 
.07759 
.07768 

.11951 
.11954 
.11956 
.11958 

9.08254 
.08263 
.08271 
.08280 

.12093 
.12096 
.12098 
.12100 

9.08764 
.08772 
.08781 
.08789 

.12236 
.12238 
.12241 
.12243 

9.09269 
.09278 
.09286 
.09295 

.12379 
.12382 
.12384 
.12386 

+    ir 

53 
54 
55 

9.07260 
.07269 
.07277 
.07286 

.11820 
.11822 
.11824 
.11827 

9.07776 
.07785 
.07793 
.07802 

.11961 
.11963 
.11966 
.11968 

9.08288 
.08297 
.08306 
.08314 

.12103 
.12105 
.12108 
.12110 

9.08797 
.08806 
.08814 
.08823 

.12245 
.12248 
.12250 
.12253 

9.09303 
.09311 
.09320 
.09328 

.12389 
.12391 
.12394 
.12396 

8 
7 
6 
5 

+    W 

57 
58 
59 

9.07295 
.07303 
.07312 
.07321 

.11829 
.11831 
.11834 
.11836 

9.07810 
.07819 
.07827 
.07836 

.11970 
.11973 
.11975 
.11977 

9.08323 
.08331 
.08340 
.08348 

.12112 
.12115 
.12117 
.12119 

9.08831 
.08840 
.08848 
.08857 

.12255 
.12257 
.12260 
.12262 

9.09337 
.09345 
.09353 
.09362 

.13398 
.13401 
.12403 
.13406 

4 
3 
2 
1 

+    15' 

9.07329 

.11838 

9.07845 

.11980 

9.08357 

.12122 

9.08865 

.12265 

9.09370   .12408 

0 

21h  19m 

21h  18m 

21h  ijm 

21h  16m 

21^  15m 

TABLE  IV. 

Haversines. 

[Page  77 

s  ' 

2h45m 

41°  15' 

2h  jj.sm 

41°  30' 

2h47m 

41°  45' 

2^48^ 

42°  0' 

2h  49m 

43°  15' 

s 

Log.  Hav. 

Nat.  llav. 

Log.  Hav. 

Nat.  Uav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 

9.09370 
.09379 
.09387 
.09395 

.13408 
.12410 
.12413 
.12415 

9.09872 
.09880 
.09889 
.09897 

.12552 
.12555 
.12557 
.12559 

9.10371 
.10379 
.10387 
.10395 

.13697 
.12700 
.12702 
.12704 

9.10866 
.10874 
.10882 
.10891 

.12843 
.12845 

.12848 
.12850 

9.11358 
.11366 
.11374 
.11382 

.13989 
.13993 
.13994 
.13996 

60 
59 
58 
57 

+    r 

5 
6 
7 

9.09404 
.09412 
.09421 
.09429 

.12418 
.12420 
.13422 
.13425 

9.09905 
.09914 
.09922 
.09930 

.12562 
.13564 
.12567 
.12569 

9.10404 
.10412 
.10420 
.10429 

.12707 
.13709 
.13713 
.13714 

9.10899 
.10907 
.10915 
.10923 

.12852 
.12855 
.12857 
.12860 

9.11391 
.11399 
.11407 
.11415 

.12999 
.13001 
.13004 
.13006 

56 
55 
54 
53 

+   2' 

9 

10 

11 

9.09437 
.09446 
.09454 
.09462 

.13437 
.13430 
.13433 
.12434 

9.09939 
.09947 
.09955 
.09964 

.12572 
.12574 
.12576 
.12579 

9.10437 
.10445 
.10453 
.10462 

.13717 
.13719 
.13731 
.13724 

9.10932 
.10940 
.10948 
.10956 

.12862 
.12865 
.12867 
.12870 

9.11423 
.11431 
.11440 
.11448 

.13009 
.13011 
.13014 
.13016 

52 
51 
50 
49 

+      3' 

13 
14 
15 

9.09471 
.09479 
.09488 
.09496 

.12437 
.12439 
.12443 
.12444 

9.09972 
.09980 
.09989 
.09997 

.12581 
.12584 
.13586 

.13588 

9.10470 
.10478 
.10486 
.10495 

.12726 
0I2729 
.12731 
.12733 

9.10965 
.10973 
.10981 
.10989 

.13873 
.13874 
.12877 
.12879 

9.11456 
.11464 
.11472 
.11480 

.13018 
.13031 
.13023 
.13036 

43 
47 
46 
45 

+   4' 

17 
18 
19 

9.09504 
.09513 
.09521 
.09529 

.12446 
.12449 
.12451 
.12454 

9.10005 
.10014 
.10022 
.10030 

.13591 
,12593 
.13596 

.12598 

9.10503 
.10511 
.10519 
.10528 

.12736 
.12738 
.12741 
.12743 

9.10997 
.11006 
.11014 
.11022 

.12882 
.12884 
.12887 
.12889 

9.11489 
.11497 
.11505 
.11513 

.13028 
.13031 
.13033 
.13036 

44 
43 
42 
41 

+      5' 

21 

22 
23 

9.09538 
.09546 
.09555 
.09563 

.12456 
.12458 
.12461 
.12463 

9.10039 
.10047 
.10055 
.10064 

.13600 
.13603 
.13605 
.13608 

9.10536 
.10544 
.10553 
.10561 

.13746 
.12748 
.13750 
.13753 

9.11030 
.11038 
.11047 
.11055 

.13891 
.13894 

.13896 
.12899 

9.11521 
.11529 
.11538 
.11546 

.13038 
.13041 
.13043 
.13045 

40 
39 
38 
37 

+      6' 

25 
26 
27 

9.09571 
.09580 
.09588 
.09596 

.12466 
.13468 
.12470 
.12473 

9.10072 
.10080 
.10088 
.10097 

.12610 
.12613 
.12615 
.12617 

9.10569 
.10577 
.10586 
.10594 

.13755 
.13758 
.13760 
.13763 

9.11063 
.11071 
.11079 
.11088 

.12901 
.12904 
.12906 
.12909 

9.11554 
.11562 
.11570 
.11578 

.13048 
.13050 
.13053 
.13055 

36 
35 
34 
33 
32 
31 
SO 
29 

+    r 

29 
30 
31 

9.09605 
.09613 
.09622 
.09630 

.12475 
.12478 
.12480 
.12482 

9.10105 
.10113 
.10122 
.10130 

.12620 
.12622 
.12625 
.12637 

9.10602 
.10610 
.10619 
.10627 

.13765 
.13767 
.13770 
.12773 

9.11096 
.11104 
.11112 
.11120 

.12911 
.12913 
.13916 
.13918 

9.11586 
.11595 
.11603 
.11611 

.13058 
.13060 
.13063 
.13065 

+      8' 
S3 
34 

35 

9.09638 
.09647 
.09655 
.09663 

.12485 
.12487 
.12490 
.12492 

9.10138 
.10147 
.10155 
.10163 

.13639 
.13633 
.13634 
.12637 

9.10635 
.10643 
.10652 
.10660 

.13775 
.13777 
.12780 
.13783 

9.11129 
.11137 
.11145 
.11153 

.13931 
.13933 
.13936 
.13938 

9.11619 
.11627 
.11635 
.11643 

.13067 
.13070 
.13072 
.13075 

28 

27 
26 

25 

+      9' 

37 
38 
39 

9.09672 
.09680 
.09688 
.09697 

.12494 
.12497 
.13499 
.13503 

9.10172 
.10180 
.10188 
.10196 

.12639 
.12641 
.12644 
.12646 

9.10668 
.10676 
.10685 
.10693 

.13784 

.13787 
.12789 
.12792 

9.11161 
.11170 
.11178 
.11186 

.13930 
.13933 
.12935 
.13938 

9.11652 
.11660 
.11668 
.11676 

.13077 
.13080 
.13082 
.13085 

24 
23 
22 
"21 

+    W 
41 
42 
43 

9.09705 
.09713 
.09722 
.09730 

.13504 
.13506 
.13509 
.13511 

9.10205 
.10213 
.10221 
.10230 

.12649 
.12651 
.12654 
.12656 

9.10701 
.10709 
.10718 
.10726 

.13794 
.13797 
.13799 
.13801 

9.11194 
.11202 
.11211 
.11219 

.13940 
.12943 
.12945 
.12948 

9.11684 
.11692 
.11700 
.11709 

.13087 
.13090 
.13092 
.13095 

20 
19 
18 
17 

+    11' 

45 
46 

47 

9.09739 
.09747 
.09755 
.09764 

cl3514 
.13510 
,13519 
.13521 

9.10238 
.10246 
.10255 
.10263 

.12658 
.12661 
.12663 
.12666 

9.10734 
.10742 
.10751 
.10759 

.12804 
.12806 
.13809 
.13811 

9.11227 
.11235 
.11243 
.11252 

.12950 
.12952 
.12955 
.12957 

9.11717 
.11725 
.11733 
.11741 

.13097 
.13099 
.13102 
.13104 

16 
15 
14 
13 

+    12' 

49 
50 
51 

9.09772 
.09780 
.09789 
.09797 

.13533 
.13536 
.13538 
.13531 

9.10271 
.10279 
.10288 
.10296 

.12668 
.12671 
.12673 
.12675 

9.10767 
.10775 
.10784 
.10792 

.13814 
.13816 
.12818 
.12821 

9.11260 
.11268 
.11276 
.11284 

.12960 
.13963 
.13965 
.13967 

9.11749 
.11757 
.11766 
.11774 

.13107 
.13109 
.13112 
.13114 

12 

11 

10 

9 

+  13' 

53 
54 
55 

9.09805 
.09814 
.09822 
.09830 

.13533 
.13536 
.13538 
.13540 

9.10304 
.10313 
.10321 
.10329 

.12678 
.12680 
.12683 
.12685 

9.10800 
.10808 
.10816 
.10825 

.12823 
.12826 

.12828 
.12831 

9.11292 
.11301 
.11309 
.11317 

.12970 
.12972 
.18974 
.12977 

9.11782 
.11790 
.11798 
.11806 

.13116 
.13119 
.13121 
.13124 

8 
7 
6 
5 

+    14' 

57 
58 
59 

9.09839 
.09847 
.09856 
.09864 

.12543 
.12545 
.12547 
.12550 

9.10337 
.10346 
.10354 
.10362 

.12687 
.12690 
.12692 
.12695 

9.10833 
.10841 
.10849 
.10858 

.12833 
.12836 
.12838 
.12840 

9.11325 
.11333 
.11342 
.11350 

.12979 
.12982 
.12984 
.12987 

9.11814 
.11822 
.11831 
.11839 

.13126 
.13139 
.13131 
.13134 

4 
3 

0 

1   ! 

0   i 

+    15' 

9.09872 

.12552 

9.10371 

.13697 

9.10866 

.12843 

9.11358 

.13989 

9.11847 

.13136 

21  h 

14m 

21h 

ISm 

^Ih  12m 

21h 

lim 

21h 

lOm 

Page  78] 

TABLE  IV. 

Havereines. 

s 

2h  50m  43°  30' 

2h5im 

43°  45' 

2h  52m  43°  0' 

fi  53^ 

43°  15' 

2h54m 

43°  30' 

s 

Log.  Hav. 

Nat.  Hav. 

IjOg.  Ilav. 

Nat.  nav. 

Log.  nav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 

1 
2 
S 

9.11847 
.11855 
.11863 
.11871 

.13136 
.13139 
.13141 
.13143 

9.12332 
.12341 
.12349 
.12357 

.13384 
.13386 
.13289 
.13291 

9.12815 
.12823 
.12831 
.12839 

.13433 
.13435 
.13437 
.13440 

9.13295 
.13303 
.13311 
.13319 

.13581 
.13584 
.13586 
.13589 

9.13771 
.13779 
.13787 
.13795 

.13731 
.13734 
.13736 
.13739 

60 
59 

58 
57 

+  r 

5 
6 

7 

9.11879 
.11887 
.11895 
.11904 

.13146 
.13148 
.13151 
.13153 

9.12365 
.12373 
.12381 
.12389 

.13294 
.13396 
.13399 
.13301 

9.12847 
.12855 
.12863 
.12871 

.13442 
.13445 
.13447 
.13450 

9.13326 
.13334 
.13342 
.13350 

.13591 
.13594 
.13596 
.13599 

9.13803 
.13811 
.13819 
.13827 

.13741 
.13744 
.13746 
.13749 

56 
55 
54 
53 

+      2' 

9 

10 

11 

9.11912 
.11920 
.11928 
.11936 

.13156 
.13158 
.13161 
.13163 

9.12397 
.12405 
.12413 
.12421 

.13304 
.13306 
.13309 
.13311 

9.12879 
.12887 
.12895 
.12903 

.13452 
.13455 
.13457 
.13460 

9.13358 
.13366 
.13374 
.13382 

.13601 
.13604 
.13607 
.13609 

9.13834 
.13842 
.13850 
.13858 

.13751 
.13754 
.13756 
.13759 

52 
51 
50 
49 

+   3' 

13 
14 
15 

9.11944 
.11952 
.11960 
.11968 

.13166 
.13168 
.13171 
.13173 

9.12429 
.12437 
.12445 
.12453 

.13314 
.13316 
.13318 
.13331 

9.12911 
.12919 
.12927 
.12935 

.13463 
.13465 
.13467 
.13470 

9.13390 
.13398 
.13406 
.13414 

.13611 
.13614 
.13616 
.13619 

9.13866 
.13874 
.13882 
.13890 

.13761 
.13764 
.13766 
.13769 

48 
47 
46 

45 

+   4' 
17 
18 
19 

9.11977 
.11985 
.11993 
.12001 

.13175 
.13178 
.13180 
.13183 

9.12461 
.12470 
.12478 
.12486 

.13323 
.13336 
.13328 
.13331 

9.12943 
.12951 
.12959 
.12967 

.13473 
.13474 
.13477 
.13479 

9.13422 
.13430 
.13438 
.13446 

.13621 
.13624 
.13626 
.13629 

9.13898 
.13906 
.13913 
.13921 

.13771 
.13774 
.13776 
.13779 

44 
43 
42 
41 

+     5' 
21 

22 
23 

9.12009 
.12017 
.12025 
.12033 

.13185 
.13188 
.13190 
.13193 

9.12494 
.12502 
.12510 
.12518 

.13333 
.13336 
.13338 
.13341 

9.12975 
.12983 
.12991 
.12999 

.13482 
.13484 
.13487 
.13489 

9.13454 
.13462 
.13470 
.13478 

.13631 
.13634 
.13636 
.13639 

9.13929 
.13937 
.13945 
.13953 

.13781 
.13784 
.13786 
.13789 

40 
39 
38 
37 

+   6' 

25 
26 
27 

9.12041 
.12050 
.12058 
.12066 

.13195 
.13198 
.13300 
.13203 

9.12526 
.12534 
.12542 
.12550 

.13343 
.13346 
.13348 
.13351 

9.13007 
.13015 
.13023 
.13031 

.13492 
.13494 
.13497 
.13499 

9.13486 
.13494 
.13501 
.13509 

.13641 
.13644 
.13646 
.13649 

9.13961 
.13969 
.13977 
.13985 

.13791 
.13794 
.13796 
.13799 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.12074 
.12082 
.12090 
.12098 

.13205 
.13207 
.13210 
.13212 

9.12558 
.12566 
.12574 
.12582 

.13353 
.13356 
.13358 
.13360 

9.13039 
.13047 
.13055 
.13063 

.13503 
.13504 
.13507 
.13509 

9.13517 
.13525 
.13533 
.13541 

.13651 
.13654 
.13656 
.13659 

9.13992 
.14000 
.14008 
.14016 

.13801 
.13804 
.13806 
.13809 

32 
31 
30 
29 
28 
27 
26 
25 

+      8' 

33 
34 
35 

9.12106 
.12114 
.12122 
.12130 

.13215 
.13217 
.13220 
.13222 

9.12590 
.12598 
.12606 
.12614 

.13363 
.13365 
.13368 
.13370 

9.13071 
.13079 
.13087 
.13095 

.13512 
.13514 
.13517 
.13519 

9.13549 
.13557 
.13565 
.13573 

.13661 
.13664 
.13666 
.13669 

9.14024 
.14032 
.14040 
.14048 

.13811 
.13814 
.13816 
.13819 

+   JK 

37 
38 
39 

9.12139 
.12147 
.12155 
.12163 

.13225 
.13227 
.13230 
.13233 

9.12622 
.12630 
.12638 
.12647 

.13373 
.13375 
.13378 
.13380 

9.13103 
.13111 
.13119 
.13127 

.13533 
.13524 
.13537 
.13539 

9.13581 
.13589 
.13597 
.13605 

.13671 
.13674 
.13676 
.13679 

9.14056 
.14063 
.14071 
.14079 

.13833 
.13834 
.13827 
.13829 

■24 
23 
22 
21 

+    W 

41 
42 
43 

9.12171 
.12179 
.12187 
.12195 

.13235 
.13237 
.13239 
.13242 

9.12655 
.12663 
.12671 
.12679 

.13383 
.13385 

.13388 
.13390 

9.13135 
.13143 
.13151 
.13159 

.13532 
.13534 
.13537 
.13539 

9.13613 
.13621 
.13628 
.13636 

.13681 
.13684 
.13686 
.13689 

9.14087 
.14095 
.14103 
.14111 

.13832 
.13834 
,13837 
.13839 

20 
19 
18 
17 

+  ir 

45 
46 
47 

9.12203 
.12211 
.12219 
.12228 

.13344 
.13347 
.13349 
.13252 

9.12687 
.12695 
.12703 
.12711 

.13393 
.13395 
.13398 
.13400 

9.13167 
.13175 
.13183 
.13191 

.13542 
.13544 
.13547 
.13549 

9.13644 
.13652 
.13660 
.13668 

.13691 
.13694 
.13696 
.13699 

9.14119 
.14127 
.14134 
.14142 

.13842 
.13844 
.13847 
.13849 

16 
15 
14 
13 

+  n' 

49 
50 
51 

9.12236 
.12244 
.12252 
.12260 

.13254 
.13257 
.13259 
.13262 

9.12719 
.12727 
.12735 
.12743 

.13403 
.13405 
.13408 
.13410 

9.13199 
.13207 
.13215 
.13223 

.13552 
.13554 
.13557 
.13559 

9.13676 
.13684 
.13692 
.13700 

.13701 
.13704 
.13706 
.13709 

9.14150 
.14158 
.14166 
.14174 

.13853 
.13854 
.13857 
.13859 

12 

11 

10 

9 

+    13' 

53 
54 
55 

9.12268 
.12276 
.12284 
.12292 

.13264 
.13367 
.13369 
.13373 

9.12751 
.12759 
.12767 
.12775 

.13412 
.13415 
.13417 
.13430 

9.13231 
.13239 
.13247 
.13255 

.13562 
.13564 
.13567 
.13569 

9.13708 
.13716 
.13724 
.13732 

.13711 
.13714 
.13716 
.13719 

9.14182 
.14190 
.14197 
.14205 

.13862 
.13864 
.13867 
.13869 

8 
7 
6 
5 

+    14' 

57 
58 
59 

9.12300 
.12308 
.12316 
.12324 

.13274 
.13276 
.13279 
.13281 

9.12783 
.12791 
.12799 
.12807 

.13432 
.13425 
.13427 
.13430 

9.13263 
,13271 
.13279 
.13287 

.13571 
.13574 
.13576 
,13579 

9.13739 
.13747 
.33755 
.13763 

.13731 
.13734 
.13736 
.13739 

9.14213 
.14221 
.14229 
.14237 

.13872 
.13874 
.13877 
-13879 

4 
S 
2 
1 

+    15' 

9.12332 

.13284 

9.12815 

.13432 

9.13295 

.13581 

9.13771 

.13731 

9.14245 

.13882 

0 

21fi 

gm 

21^ 

Sm. 

21h7m 

21^ 

em 

2lh 

5m 

TABLE  IV. 

Haversinee. 

[Page  79 

s 

f  A  55m  43°  45'  1 

2h  56m  44°  0'  | 

2h  57m  14:°  15'    1  2h58mU°W    \ 

2h59mU°45'    | 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
3 

9.14245 
.14252 
.14260 
.14268 

.13883 

.13884 
.13887 
.13889 

9.14715 
.14723 
.14731 
.14739 

.14033 
.14035 
.146.38 
.14041 

9.15183 
.15190 
.15198 
.15206 

.14185 
.14187 
.14190 
.14193 

9.15647 
.15655 
.15663 
.15670 

.14337 
.14340 
.14343 
.14345 

9.16109 
.16117 
.16124 
.16132 

.14491 
.14493 
.14496 
.14498 

60 
59 
58 
57 

+      r 
5 

6 

7 

9.14276 

.14284 
.14292 
.14300 

.13893 
.13894 
.13897 
.13899 

9.14746 
.14754 
.14762 
.14770 

.14043 
.14046 
.14048 
.14051 

9.15214 
.15221 
.15229 
.15237 

.14195 
.14198 
.14300 
.14303 

9.15678 
.15686 
.15694 
.15701 

.143^18 
.14350 
.14353 
.14355 

9.16140 
.16147 
.16155 
.16163 

.14501 
.14504 
.14506 
.14509 

56 
55 
54 
53 

+  r 

9 

10 

11 

9.14307 
.14315 
.14323 
.14331 

.13903 
.13904 
.13907 
.13909 

9.14778 
.14785 
.14793 
.14801 

.14053 
.14056 
.14058 
.14061 

9.15245 
.15253 
.15260 

.15268 

.14305 
.14308 
.14310 
.14313 

9.15709 
.15717 

.15724 
.15732 

.14358 
.14360 
.143C3 
.14366 
.14368 
.14371 
.14373 
.14376 

9.16170 

.16178 
.16186 
.16193 
9.16201 
.16209 
.16216 
.16224 

.14511 
.14514 
.14516 
.14519 
.14521 
.14524 
.14537 
.14529 

52 

51 
50 
49 
4S 
47 
46 
45 

+  3' 

13 
14 

15 

9.14339 
.14347 
.14355 
.14362 

.13913 
.13914 
cl3917 
.13930 

9.14809 
.14817 
.14824 
.14832 

.14003 
.14066 
.14068 
.14071 

9.15276 
.15284 
.15291 
.15299 

.14315 
.14318 
.14330 
.14333 

9.15740 
.15748 
.15755 
.15763 

+   4' 
17 
18 
19 

9.14370 
.14378 
.14386 
.14394 

.13933 
.13935 
.13937 
.13930 

9.14840 
.14848 
.14856 
.14863 

.14073 
.14076 
.14079 
.14081 

9.15307 
.15315 
.15322 
.15330 

.14336 
.14338 
.14331 
.14333 

9.15771 

.15778 
.15786 
.15794 

.14378 
.14381 
.14383 
.14386 

9.16232 
.16239 
.16247 
.16255 

.14532 
.14534 
.14537 
.14539 

44 
43 
42 
41 
40 
39 
38 
37 

+      5' 

21 
22 
23 

9.14402 
.14410 
.14417 
.14425 

.13933 
.13935 
.13937 
.13940 

9.14871 
.14879 
.14887 
.14895 

.14084 
.14086 
.14089 
.14091 

9.15338 
.15346 
.15353 
.15361 

.14336 
.14338 
.14341 
.14343 

9.15802 
.15809 
.15817 
.15825 

.14388 
.14391 
.14394 
.14396 

9.16262 
.16270 
.16278 
.16285 

.14542 
.14545 
.14547 
.14550 

+      6' 

25 
26 
27 

9.14433 
.14441 
.14449 
.14457 

.13943 
.13945 
.13947 
.13950 

9.14902 
.14910 
.14918 
.14926 

.14094 
.14096 
.14099 
.14101 

9.15369 
.15377 
.15384 
.15392 

.14346 
.14348 
.14251 
.14353 

9.15832 
.15840 
.15848 
.15855 

.14399 
.14401 
.14404 
.14406 

9.16293 
.16301 
.16308 
.16316 

.14552 
.14555 
.14557 
.14560 

36 

35 
34 
33 

+    r 

29 
SO 
31 

9.14465 

.14472 
.14480 
.14488 

.13953 
.13955 
.13957 
.13960 

9.14934 
.14941 
.14949 
.14957 

.14104 
.14106 
.14109 
.14111 

9.15400 
.15408 
.15415 
.15423 

.14356 
.14359 
.14361 
.14364 

9.15863 
.15871 
.15879 
.15886 

.14409 
.14411 
.14414 
.14417 

9.16324 
.16331 
.16339 
.16346 

.14562 
.14565 
.14568 
.14570 

32 
31 
30 
29 

+   S' 
33 
34 
35 

9.14496 
.14504 
.14512 
.14519 

.13963 
.13965 
.13967 
.13970 

9.14965 
.14973 
.14980 
.14988 

.14114 
.14116 
.14119 
.14133 

9.15431 
.15439 
.15446 
.15454 

.14366 
.14369 
.14371 
.14274 

9.15894 
.15902 
.15909 
.15917 

.14419 
.14432 
.14434 
.14437 

9.16354 
.16362 
.16369 
.16377 

.14573 
.14575 
.14578 
.14580 

28 

27 
26 

25 

24 
23 
22 
21 
20 
19 
18 
17 

+     9' 

37 
38 
39 

9.14527 
.14535 
.14543 
.14551 

.13973 
.13975 
.13977 
.13980 

9.14996 
.15004 
.15012 
.15019 

.14134 
.14137 
.14139 
.14133 

9.15462 
.15470 

.15477 
.15485 

.14376 
.14379 
.14381 
.14384 

9.15925 
.15932 
.15940 
.15948 

.14439 
.14432 
.14434 
.14437 

9.16385 
.16392 
.16400 
.16408 

.14583 
.14586 
.14588 
.14591 

41 
42 
43 

9.14559 
.14566 
.14574 
.14582 

.13983 
.13985 

.13988 
.13990 

9.15027 
.15035 
.15043 
.15050 

.14134 
.14137 
.14139 
.14143 

9.15493 
.15500 
.15508 
.15516 

.14387 
.14289 
.14293 
.14394 

9.15955 
.15963 
.15971 
.15978 

.14440 
.14442 
.14445 
.14447 

9.16415 
.16423 
.16431 
.16438 

.14593 
.14596 
.14598 
.14601 

+    11' 

45 
46 
47 

9.14590 
.14598 
.14606 
.14613 

.13993 
.13995 
.13998 
.14000 

9.15058 
.15066 
.15074 
.15082 

.14144 
.14147 
.14149 
.14153 

9.15524 
.15531 
.15539 
.15547 

.14297 
.14299 
.14302 
.14304 

9.15986 
.15994 
.16002 
.16009 

.14450 
.14452 
.14455 
.14457 

9.16446 
.16453 
.16461 
.16469 

.14604 
.14606 
.14609 
.14611 

16 
15 
14 
13 

+    13' 

49 
50 
51 

9.14621 
.14629 
.14637 
.14645 

.14003 
.14005 
.14008 
.14010 

9.15089 
.15097 
.15105 
.15113 

.14154 
.14157 
.14160 
.14163 

9.15555 
.15562 
.15570 
.15578 

.14307 
.14309 
.14312 
.14315 

9.16017 
.16025 
.16032 
.16040 

.14460 
.14463 
.14465 
.14468 

9.16476 
.16484 
.16492 
.16499 

.14614 
.14616 
.14619 
.14622 

12 

11 

10 

9 

+    13' 

53 
54 
55 

9.14653 
.14660 
.14668 
.14676 

.14013 
.14015 
.14018 
.14030 

9.15120 
.15128 
.15136 
.15144 

.14165 
.14167 
.14170 
.14173 

9.15585 
.15593 
.15601 
.15609 

.14317 
.14320 
.14322 
.14335 

9.16048 
.16055 
.16063 
.16071 

.14470 
.14473 
.14475 
.14478 

9.16507 
.16515 
.16522 
.16530 

.14624 
.14637 
.14639 
.14632 

8 
7 
6 
5 

+    14' 

57 
58 
59 

9.14684 
.14692 
.14699 
.14707 

.14033 
.14035 
.14038 
.14030 

9.15152 
.15159 
.15167 
.15175 

.14175 
.14177 
.14180 
.14183 

9.15616 
.15624 
.15632 
.15640 

.14327 
.14330 
.14332 
.14335 

9.16078 
.16086 
.16094 
.16101 

.14480 
.14483 
.14486 

.14488 

9.16537 
.16545 
.16553 
.16560 

.14634 
.14637 
.14639 
.14643 

4 
S 

2 
1 

+    15' 

9.14715 

.14033 

9.15183 

.14185 

9.15647 

.14337 

9.16109 

.14491 

9.16568 

.14645 

0 

21J1 

^m 

21h3m 

21f 

I  ^m 

21f> 

jm 

21fi 

Om 

Page  80] 

TABLE  lY. 

Haversines. 

s 

Sh  om  45°  0' 

3h  im  450  15/  1 

^A  f  m  45°  30^ 

Sh  3m  45°  45/ 

Sh  4m  46°  (K 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
3 

9.16568 
.16576 
.16583 
.16591 

.14645 
.14frl7 
.14650 
.14653 

9.17024 
.17032 
.17039 
.17047 

.14799 
.14803 
.14804 
.14807 

9.17477 
.17485 
.17492 
.17500 

.14955 
.14957 
.14960 
.14963 

9.17928 
.17935 
.17943 
.17950 

.15110 
.15113 
.15116 
.15118 

9.18376 
.18383 
.18390 
.18398 

.15367 
.15370 
.15373 
.15375 

60 
59 
58 
57 

+    r 

5 
6 

7 

9.16598 
.16606 
.16614 
.16621 

.14655 
.14658 
.14660 
.14663 

9.17054 
.17062 
.17069 
.17077 

.14810 
.14813 
.14815 
.14817 

9.17507 
.17515 
.17522 
.17530 

.14965 
.14968 
.14970 
.14973 

9.17958 
.17965 
.17973 
.17980 

.15131 
.15133 
.15126 
.15139 

9.18405 
.18413 
.18420 

.18428 

.15278 
.15380 
.15383 
.15385 

56 
55 
54 
53 

+     V 

9 

10 

11 

9.16629 
.16637 
.16644 
.16652 

.14665 
.14668 
.14670 
.14673 

9.17085 
.17092 
.17100 
.17107 

.14830 
.14833 
.14835 

.14838 

9.17538 
.17545 
.17553 
.17560 

.14975 
.14978 
.14981 
.14983 

9.17988 
.17995 
.18003 
.18010 

.15131 
.15134 
.15137 
.15139 

9.18435 
.18443 
.18450 
.18457 

.15388 
.15391 
.15393 
.15396 

52 
51 
50 
49 

+   3^ 

13 
14 
15 

9.16659 
.16667 
.16675 
.16682 

.14676 
.14678 
.14681 
.14683 

9.17115 
.17122 
.17130 
.17138 

.14830 
.14833 
.14835 
.14838 

9.17568 
.17575 
.17583 
.17590 

.14986 

.14988 
.14991 
.14993 

9.18018 
.18025 
.18033 
.18040 

.15143 
.15144 
.15147 
.15150 

9.18465 
.18472 
.18480 

.18487 

.15398 
.15301 
.15304 
.15306 

48 
47 
46 
45 

+   4' 
17 
18 
19 

9.16690 
.16697 
.16705 
.16713 

.14686 
.14688 
.14691 
.14693 

9.17145 
.17153 
.17160 
.17168 

.14841 
.14843 
.14846 
.14848 

9.17598 
.17605 
.17613 
.17620 

.14996 
.14999 
.15001 
.15004 

9.18048 
.18055 
.18062 
.18070 

.15153 
.15155 
.15157 
.15160 

9.18495 
.18502 
.18509 
.18517 

.15309 
.15312 
.15314 
.15316 

44 
43 
42 
41 

+  5' 

21 
22 
23 

9.16720 

.16728 
.16735 
.16743 

.14696 
.14699 
.11701 
.14704 

9.17175 
.17183 
.17191 
.17198 

.14851 
.14853 
.14856 
.14859 

9.17628 
.17635 
.17643 
.17650 

.15006 
.15009 
.15013 
.15014 

9.18077 
.18085 
.18092 
.18100 

.15163 
.15165 
.15168 
.15170 

9.18524 
.18532 
.18539 
.18547 

.15319 
.15333 
.15325 
.15337 

40 
39 
38 
37 

25 

26 
27 

9.16751 
.16758 
.16766 
.16774 

.14706 
.14709 
.14713 
.14714 

9.17206 
.17213 
.17221 
.17228 

.14861 
.14864 
.14866 
.14869 

9.17658 
.17665 
.17673 
.17680 

.15017 
.15019 
.15033 
.15035 

9.18107 
.18115 
.18122 
.18130 

.15173 
.15176 
.15178 
.15181 

9.18554 
.18561 
.18569 
.18576 

.15330 
.15333 
.15335 
.15337 

36 

35 
34 
33 

29 
30 
31 

9.16781 
.16789 
.16796 
.16804 

.14717 
.14719 
.14733 
.14734 

9.17236 
.17243 
.17251 

.17259 

.14873 
.14874 
.14877 
.14879 

9.17688 
.17695 
.17703 
.17710 

.15037 
.15030 
.15033 
.15035 

9.18137 
.18145 
.18152 
.18160 

.15183 
.15186 
.15189 
.15191 

9.18584 
.18591 
.18598 
.18608 

.15340 
.15343 
.15346 
.15348 

32 
31 
30 
29 

33 
34 
35 

9.16812 
.16819 
.16827 
.16834 

.14737 
.14730 
.14733 
.14735 

9.17266 
.17274 
.17281 
.17289 

.14883 
.14885 

.14887 
.14890 

9.17718 
.17725 
.17733 
.17740 

.15038 
.15040 
.15043 
.15045 

9.18167 
.18174 
.18182 
.18189 

.15194 
.15197 
.15199 
.15303 

9.18613 
.18621 
.18628 
.18636 

.15351 
.15353 
.15356 
.15359 

28 
27 
26 

25 

+   9^ 

37 
38 
39 

9.16842 
.16850 
.16857 
.16865 

.14737 
.14740 
.14743 
.14745 

9.17296 
.17304 
.17311 
.17319 

.14893 
.14895 
.14898 
.14900 

9.17748 
.17755 
.17763 
.17770 

.15048 
.15051 
.15053 
.15056 

9.18197 
.18204 
.18212 
.18219 

.15304 
.15207 
.15310 
.15313 

9.18643 
.18650 
.18658 
.18665 

.15361 
.15364 
.15367 
.15369 

24 
23 
22 
21 

+  W 

41 
42 

43 

9.16872 
.16880 
.16887 
.16895 

.14748 
.14750 
.14753 
.14755 

9.17327 
.17334 
.17342 
.17349 

.14903 
.14905 
.14908 
.14910 

9.17778 
.17785 
.17793 
.17800 

.15058 
.15061 
.15064 
.15066 

9.18227 
.18234 
.18242 
.18249 

.15315 
.15317 
.15330 
.15323 

9.18673 
.18680 
.18687 
.18695 

.15373 
.15374 
.15377 
.15379 

20 
19 
18 
17 

+  11' 

45 
46 

47 

9.16903 
.16910 
.16918 
.16925 

.14758 
.14760 
.14763 
.14766 

9.17357 
.17364 
.17372 
.17379 

.14913 
.14916 
.14918 
.14931 

9.17808 
.17815 
.17823 
.17830 

.15069 
.15071 
.15074 
.15077 

9.18256 
.18264 
.18271 
.18279 

.15335 
.15338 
.15330 
.15333 

9.18702 
.18710 

.18717 
.18724 

.15383 
.15385 
.15388 
.15390 

16 
15 
U 
13 

+  ir 

49 
50 
51 

9.16933 
.16941 
.16948 
.16956 

.14768 
.14771 
.14773 
.14776 

9.17387 
.17394 
.17402 
.17409 

.14933 
.14936 
.14939 
.14931 

9.17838 
.17845 
.17853 
.17860 

.15079 
.15083 
.15084 
.15087 

9.18286 
.18294 
.18301 
.18309 

.15336 
.15338 
.15241 
.15244 

9.18732 
.18739 
.18747 
.18754 

.15393 
.15395 
.15398 
.15401 

12 

11 

10 

9 

+    13^ 

53 
64 
55 

9.16963 
.16971 
.16979 
.16986 

.14779 

.14781 
.14784 
.14786 

9.17417 
.17425 
.17432 
.17440 

.14934 
.14936 
.14939 
.14943 

9.17868 
.17875 
.17883 
.17890 

.15090 
.15093 
.15095 
.15097 

9.18316 
.18324 
.18331 
.18338 

.15246 
.15249 
.15251 
.15254 

9.18762 
.18769 
.18776 
.18784 

.15403 
.15406 
.15409 
.15411 

8 
7 
6 
5 

+  U' 

57 
58 
59 

9.16994 
.17001 
.17009 
.17016 

.14789 
.14791 
.14794 
.14797 

9.17447 
.17455 
.17462 
.17470 

.14944 
.14947 
.14949 
.14953 

9.17898 
.17905 
.17913 
.17920 

.15100 
.15103 
.15105 
.15108 

9.18346 
.18353 
.18361 
.18368 

.15257 
.15259 
.15263 
.15364 

9.18791 
.18798 
.18806 
.18813 

.15414 
.15416 
.15419 
.15433 

4 
3 

Z 
1 

+  W 

9.17024 

.14799 

9.17477 

.14955 

9.17928 

.15110 

9.18376 

.15367 

9.18821 

.15434 

0 

20h 

59m 

20h 

55™ 

20^ 

57m 

20h  56^ 

20h 

55m 

TABLE  IV. 
Haversinea. 

[Page  81 

s 

3h  5m  46°  15' 

3h  em  46°  30' 

3h7m 

t6°45' 

Sh  8m  47°  C 

3h  9m  47°  15' 

a 

Log.  Hav. 

Nat.  Hav. 

Log.  Ilav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 
2 
S 

9.18821 

.18828 
.18835 
.18843 

.15424 
.15437 
.15430 
.15432 

9.19263 
.19270 
.19278 
.19285 

.15582 
.15585 

.15588 
.15590 

9.19703 
.19710 
.19717 
.19725 

.15741 
.15743 
.15746 
.15748 

9.20140 
.20147 
.20154 
.20162 

.15900 
.15903 
.15905 
.15908 

9.20574 
.20582 
.20589 
.20596 

.16060 
.16063 
.16065 
.16068 

60 
59 
58 
57 

+    r 

5 
6 

7 

9.18850 
.18858 
.18865 
.18872 

.15435 
.15437 
.15440 
.15443 

9.19292 
.19300 
.19307 
.19315 

.15593 
.15595 
.15598 
.15601 

9.19732 
.19739 
.19747 
.19754 

.15751 
.15754 
.15757 
.15759 

9.20169 
.20176 
.20184 
.20191 

.15911 
.15913 
.15916 
.15919 

9.20603 
.20611 
.20618 
.20625 

.16071 
.16073 
.16076 
.16079 

56 
55 
54 
53 

+  V 

9 

10 

11 

9.18880 

.18887 
.18895 
.18902 

.15445 
.15448 
.15451 
.15453 

9.19322 
.19329 
.19337 
.19344 

.15603 
.15606 
.15609 
.15611 

9.19761 
.19769 
.19776 
.19783 

.15762 
.15765 
.15767 
.15770 

9.20198 
.20205 
.20213 
.20220 

9.20227 
.20234 
.20242 
.20249 

.15921 
.15924 
.15927 
.15929 
.15933 
.15935 
.15937 
.15940 

9.20632 
.20639 
.20647 
.20654 

.16081 
.16084 
.16087 
.16089 

52 
51 
50 

49 

+   3' 

13 

14 
15 

9.18909 
.18917 
.18924 
.18932 

.15456 
.15458 
.15461 
.15464 

9.19351 
.19359 
.19366 
.19373 

.15614 
.15617 
.15619 
.15622 

9.19790 
.19798 
.19805 
.19812 

.15773 
.15775 

.15778 
.15781 

9.20661 
.20668 
.20675 
.20683 

.16092 
.16095 
.16097 
.16100 

48 
47 
46 
45 

+      4^ 
17 
18 
19 

9.18939 
.18946 
.18954 
.18961 

.15466 
.15469 
.15472 
.15474 

9.19381 
.19388 
.19395 
.19403 

.15625 
.15627 
.15630 
.15632 

9.19820 
.19827 
.19834 
.19842 

.15783 
.15786 
.15789 
.15791 

9.20256 
.20263 
.20271 
.20278 

.15943 
.15945 
.15948 
.15951 

9.20690 
.20697 
.20704 
.20712 

.16103 
.16105 
.16108 
.16111 

44 
43 
42 
41 

+   5^ 
21 

22 

23 

9.18968 
.18976 
.18983 
.18991 

.15477 
.15479 
.15482 
.15485 

9.19410 
.19417 
.19425 
.19432 

.15635 
.15638 
.15640 
.15643 

9.19849 
.19856 
.19863 
.19871 

.15794 
.15796 
.15799 
.15803 

9.20285 
.20292 
.20300 
.20307 

.15953 
.15956 
.15959 
.15961 

9.20719 
.20726 
.20733 
.20740 

.16113 
.16116 
.16119 
.16121 

40 
39 
38 
37 

+   6' 

25 
26 

27 

9.18998 
.19005 
.19013 
.19020 

.15487 
.15490 
.15493 
.15495 

9.19439 
.19447 
.19454 
.19461 

.15646 
.15648 
.15651 
.15654 

9.19878 
.19885 
.19893 
.19900 

.15804 
.15807 
.15810 
.15813 

9.20314 
.20321 
.20329 
.20336 

.15964 
.15967 
.15969 
.15973 

9.20748 
.20755 
.20762 
.20769 

.16124 
.16127 
.16139 
.16133 

36 

35 
34 
33 

+    r 

29 
30 
31 

9.19027 
.19035 
.19042 
.19050 

.15498 
.15501 
.15503 
.15506 

9.19469 
.19476 
.19483 
.19491 

.15656 
.15659 
.15662 
.15664 

9.19907 
.19914 
.19922 
.19929 

.15815 
.15818 
.15830 
.15833 

9.20343 
.20350 
.20358 
.20365 

.15975 
.15977 
.15980 
.15983 

9.20776 
.20784 
.20791 
.20798 

.16135 
.16137 
.16140 
.16143 

32 
31 
30 
29 

+   8' 
33 
S4 

35 

9.19057 
.19064 
.19072 
.19079 

.15509 
.15511 
.15514 
.15516 

9.19498 
.19505 
.19513 
.19520 

.15667 
.15670 
.15672 
.15675 

9.19936 
.19944 
.19951 
.19958 

.15826 

.15828 
.15831 
.15834 

9.20372 
.20379 
.20386 
.20394 

.15985 

.15988 
.15991 
.15993 

9.20805 
.20812 
.20820 
.20827 

.16146 
.16148 
.16151 
.16154 

28 

27 
26 
25 

+    a' 

37 
38 
39 

9.19086 
.19094 
.19101 
.19109 

.15519 
.15522 
.15524 
.15527 

9.19527 
.19535 
.19542 
.19549 

.15677 
.15680 
.15683 
.15685 

9.19965 
.19973 
.19980 
.19987 

.15836 
.15839 
.15843 
.15844 

9.20401 
.20408 
.20415 
.20423 

.15996 
.15999 
.16001 
.16004 

9.20834 
.20841 
.20848 
.20856 

.16156 
.16159 
.16163 
.16164 

24 

23 
22 
21 

+  W 

41 
42 
43 

9.19116 
.19123 
.19131 
.19138 

.15530 
.15532 
.15535 
.15537 

9.19557 
.19564 
.19571 
.19579 

.15688 
.15691 
.15693 
.15696 

9.19995 
.20002 
.20009 
.20016 

.15847 
.15850 
.15853 
.15855 

9.20430 
.20437 

.20444 
.20452 

.16007 
.16009 
.16013 
.16015 

9.20863 
.20870 
.20877 
.20884 

.16167 
.16170 
.16173 
.16175 

20 
19 
18 

n 

+    11' 

45 
46 
47 

9.19145 
.19153 
.19160 
.19167 

.15540 
.15543 
.15545 
.15548 

9.19586 
.19593 
.19600 
.19608 

.15699 
.15701 
.15704 
.15706 

9.20024 
.20031 
.20038 
.20045 

.15858 
.15860 
.15863 
.15866 

9.20459 
.20466 
.20473 
.20481 

.16017 
.16030 
.16033 
.16035 

9.20891 
.20899 
.20906 
.20913 

.16178 
.16180 
.16183 
.18186 

16 

15 

14 

13 

12 

11 

10 

9 

8 

7 

6 

5 

+    12' 

49 
50 
51 

9.19175 
.19182 
.19190 
.19197 

.15551 
.15553 
.15556 
.15559 

9.19615 
.19622 
.19630 
.19637 

.15709 
.15713 
.15714 
.15717 

9.20053 
.20060 
.20067 
.20075 

.15868 
.15871 
.15874 
.15876 

9.20488 
.20495 
.20502 
.20509 

.16038 
.16031 
.16033 
.16036 

9.20920 
.20927 
.20935 
.20942 

.16188 
.16191 
.16194 
.16196 

+  13' 

53 

54 
55 

9.19204 
.19212 
.19219 
.19226 

.15561 
.15564 
.15566 
.15569 

9.19644 
.19652 
.19659 
.19666 

.15730 
.15733 
.15735 
.15728 

9.20082 
.20089 
.20096 
.20104 

.15879 
.15881 

.15884 
.15887 

9.20517 
.20524 
.20531 
.20538 

.16039 
.16041 
.16044 
.16047 

9.20949 
.20956 
.20963 
.20971 

.16199 
.16203 
.16204 
.16307 

+    14' 

57 
58 
59 

9.19234 
.19241 
.19248 
.19256 

.15572 
.15574 
.15577 
.15580 

9.19674 
.19681 
.19688 
.19696 

.15730 
.15733 
.15736 
.15738 

9.20111 
.20118 
.20125 
.20133 

.15889 
.15893 
.15895 
.15898 

9.20546 
.20553 
.20560 
.20567 

.16049 
.16052 
.16055 
.16057 

9.20978 
.20985 
.20992 
.20999 

.16310 
.16313 
.16315 
.16318 

4 
3 

2 
1 

+    15' 

9.19263 

.15582 

9.19703 

.15741 

9.20140 

.15900 

9.20574 

.16060 

9.21006 

.16230 

0 

20h 

54^ 

20h  5Sm 

20^ 

52^ 

20f>- 

5im 

20'!' 

50m 

55901= 


Page  82] 

TABLE  IV. 

Eaversines. 

s 

Sh  jom  47°  30' 

3h  11m 

47°  45' 

Sh  12m 

48°  C 

Sh  iSm  48°  15' 

Sh  14m 

48°  30' 

s 

Log.  llav. 

Nat.  Ilav. 

Log.  Ilav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Ilav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
3 

9.21006 
.21014 
.21021 
.21028 

.16220 
.16223 
.16226 
.16229 

9.21436 
.21443 
.21450 
.21457 

.16382 
.16384 
.16387 
.16390 

9.21863 

.21870 
.21877 
.21884 

.16543 
.16546 
.16549 
.16552 

9.22287 
.22294 
.22301 
.22308 

.16706 
.16709 
.16711 
.16714 

9.22709 
.22716 
.22723 
.22730 

.16869 
.16872 
.16874 
.16877 

60 
59 
5S 
57 

5 
6 
7 

9.21035 
.21042 
.21049 
.21057 

.16231 
.16234 
.16237 
.16239 

9.21464 
.21471 
.21479 
.21486 

.16392 
.16395 
.16398 
.16401 

9.21891 
.21898 
.21905 
.21912 

.16554 
.16557 
.16560 
.16562 

9.22315 
.22322 
.22329 
.22336 

.16717 
.16720 
.16722 
.16725 

9.22737 
.22744 
.22751 
.22758 

0I688O 
.16883 
.16885 

.16888 

56 
55 
54 
53 

+     2" 

9 

10 

11 

9.21064 
.21071 
.21078 
.21085 

.16242 
.16245 
.16247 
.16250 

9.21493 
.21500 
.21507 
.21514 

.16403 
.16406 
.16409 
.16411 

9.21919 
.21926 
.21934 
.21941 

.16565 
.16568 
.16571 
.16573 

9.22343 
.22350 
.22358 
.22365 

.16728 
.16730 
.16733 
.16736 

9.22765 
.22772 
.22779 
.22786 

.16891 
.16893 
.16896 
.16899 

52 
51 
50 

49 

+   3^ 

IS 
14 
15 

9.21092 
.21100 
.21107 
.21114 

.16253 
.16255 
.16358 
.16261 

9.21521 
.21529 
.21536 
.21543 

.16414 
.16417 
.16419 
.16433 

9.21948 
.21955 
.21962 
.21969 

.16576 
.16579 
.16581 
.16584 

9.22372 
.22379 
.22386 
.22393 

.16738 
.16741 
.16744 
.16747 

9.22793 
.22800 
.22807 
.22814 

.16902 
.16904 
.16907 
.16910 

48 
47 
46 
45 

+  4' 
17 
18 
19 

9.21121 
.21128 
.21135 
.21143 

.16263 
.16266 
.16269 
.16271 

9.21550 
.21557 
.21564 
.21571 

.16425 
.16427 
.16430 
.16433 

9.21976 
.21983 
.21990 
.21997 

.16587 
.16589 
.16593 
.16595 

9.22400 
.22407 
.22414 
.22421 

.16749 
.16753 
.16755 
.16757 

9.22821 
.22828 
.22835 
.22842 

.16913 
.16915 
.16918 
.16921 

U 

43 
42 
41 

+  y 

21 
22 
23 

9.21150 
.21157 
.21164 
.21171 

.16274 
.16277 
.16280 
.16282 

9.21578 
.21585 
.21593 
.21600 

.16436 
.16438 
.16441 
.16444 
.16446 
.16449 
.16452 
.16454 

9.22004 
.22011 
.22019 
.22026 

.16598 
.16600 
.16603 
.16606 

9.22428 
.22435 
.22442 
.22449 

.16760 
.16763 
.16766 
.16768 

9.22849 
.22856 
.22863 
.22870 

.16924 
.16926 
.16921) 
.16932' 

40 
39 

38 
37 
36 
35 
34 
S3 

+   6^ 

25 
26 

21 

9.21178 
.21186 
.21193 
.21200 

.16285 

.16288 
.16290 
.16293 

9.21607 
.21614 
.21621 
.21628 

9.22033 
.22040 
.22047 
.22054 

.16608 
.16611 
.16614 
.16616 

9.22456 
.22463 
.22470 
.22477 

.16771 
.16774 
.16777 
.16779 

9.22877 
.22884 
.22891 
.22898 

.16934 
.16937 
.16940 
.16943 

+    r 

29 
30 
31 

9.21207 
.21214 
.21221 
.21229 

.16296 
.16298 
.16301 
.16304 

9.21635 
.21642 
.21650 
.21657 

.16457 
.16460 
.16462 
.16465 

9.22061 
.22068- 
.22075 
.22082 

.16619 
.16622 
.16625 
.16637 

9.22484 
.22491 
.22498 
.22505 

.16783 
.16785 
.16787 
.16790 

9.22905 
.22012 
.22919 
.22926 

.16945 
.16948 
.16951 
.16953 

32 
31 
30 
29 

+   8' 
33 
34 

35 

9.21236 
.21243 
.21250 
.21257 

.16306 
.16309 
.16312 
.16314 

9.21664 
.21671 
.21678 
.21685 

.16468 
.16471 
.16473 
.16476 

9.22089 
.22096 
.22103 
.22111 

.16630 
.16633 
.16635 
.16638 

9.22512 
.22519 
.22526 
.22533 

.16793 
.16795 
.16798 
.16801 

9.22933 
.22940 
.22947 
.22954 

.16956 
.16959 
.16962 
.16964 

2S 
27 
26 
25 

+   9' 

37 
38 
39 

9.21264 
.21272 
.21279 
.21286 

.16317 
.16320 
.16323 
.16325 

9.21692 
.21699 
.21706 
.21714 

.16479 
.16481 
.16484 
.16487 

9.22118 
.22125 
.22132 
.22139 

.16641 
.16644 
.16646 
.16649 

9.22540 
.22547 
.22555 
.22562 

.16804 
.16806 
.16809 
.16813 

9.22961 
.22968 
.22975 
.22982 

.16967 
.16970 
.16973 
.16975 

24 
23 
2? 
21 

4-  W 
41 

42 
43 

9.21293 
.21300 
.21307 
.21314 

.16328 
.16331 
.16333 
.16336 

9.21721 

.21728 
.21735 
.21742 

.16489 
.16492 
.16495 

.16498 

9.22146 
.22153 
.22160 
.22167 

.16652 
.16654 
.16657 
.16660 

9.22569 
.22576 
.22583 
.22590 

.16815 
.16817 
.16820 
.16823 

9.22989 
.22996 
.23003 
.23010 

.16978 
.16981 
.16984 
.16986 

20 
19 
18 
17 

+  ir 

45 
46 
47 

9.21322 
.21329 
.21336 
.21343 

.16339 
.16341 
.16344 
.16347 

9.21749 

.21756 
.21763 
.21770 

.16500 
.16503 
.16506 
.16508 

9.22174 
.22181 
.22188 
.22195 

.16663 
.16665 
.16668 
.16671 

9.22597 
.22604 
.22611 
.22618 

.16825 

.16828 
.16831 
.16834 

9.23017 
.23024 
.23031 
.23038 

.16989 
.16992 
.16994 
.16997 

16 
15 
14 
13 

+    12^ 

49 
50 
51 

9.21350 
.21357 
.21364 
.21372 

.16349 
.16352 
.16355 
.16357 

9.21778 
.21785 
.21792 
.21799 

.16511 
.16514 
.16516 
.16519 

9.22202 
.22209 
.22216 
222^^4 

9.22231 
.22238 
.22245 
.22252 

.16673 
.16676 
.16679 
.16681 

9.22625 
.22632 
.22639 
.22646 

.16836 
.16839 
.16842 
.16844 

9.23045 
.23052 
.23059 
.23066 

.17000 
.17003 
.17005 
.17008 

12 
11 
10 
9 
8 
7 
6 
5 

+  13' 

53 
54 
55 

9.21379 
.21386 
.21393 
.21400 

.16360 
.16363 
.16366 
.16368 

9.21806 
.21813 
.21820 
.21827 

.16523 
.16524 
.16537 
.16530 

.16684 
.16687 
.16690 
.16692 

9.22653 
.22660 
.22667 
.22674 

.16847 
.16850 
.16853 
.16855 

9.23073 
.23080 
.23087 
.23094 

.17011 
.17014 
.17016 
.17019 

+  ir 

57 
58 
59 

9.21407 
.21414 
.21422 
.21429 

.16371 
.16374 
.16376 
.16379 

9.21834 
.21841 
.21848 
.21856 

.16533 
.16535 
.16538 
.16541 

9.22259 
.22266 
.22273 
.22280 

.16695 
.16698 
.16701 
.16703 

9.22681 
.22688 
.22695 
.22702 

.16858 
.16861 
.16864 
.16866 

9.23100 
.23107 
.23114 
.23121 

.17022 
.17024 
.17027 
.17030 

4 
S 
2 
'1 

+  15' 

9.21436 

.16382 

9.21863 

.16543 

9.22287 

.16706 

9.22709 

.16869 

9.23128 

.17033 

0 

20h 

43m 

20^t' 

48^ 

20h 

J^jm 

20h 

46m 

20^ 

45m 

TABLE  IV.                 [Page  83 

Haversines. 

s 

Sh  157TI  48°  45' 

3h  16^  49°  0'  1 

Sh  nm  49°  15' 

3h  IS'"'  49°  30' 

3h  19m  49°  45' 

s 

Log.  Hav. 

Nat.  Ha V. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Ilav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

3 

9.23128 
.23135 
.23142 
.23149 

.17033 
.17035 
.17038 
.17041 

9.23545 
.23552 
.23559 
.23566 

.17197 
.17200 
.17203 
.17205 

9.23960 
.23967 
.23974 
.23981 

.17362 
.17365 
.17368 
.17370 

9.24372 
.24379 
.24386 
.24393 

.17528 
.17530 
.17533 
.17536 

9.24782 
.24789 
.24796 
.24803 

.17694 
.17697 
.17699 
.17702 

60 
59 
58 
57 

+    r 

5 
6 
7 

9.23156 
.23163 
.23170 
.23177 

.17044 
.17046 
.17049 
.17052 

9.23573 
.23580 
.23587 
.23594 

.17208 
.17211 
.17214 
.17216 

9.23988 
.23994 
.24001 
.24008 

.17373 
.17376 
.17379 
.17381 

9.24400 
.24406 
.24413 
.24420 

.17539 
.17541 
.17544 
.17547 

9.24809 
.24816 
.24823 
.24830 

.17705 
.17708 
.17710 
.17713 

56 
55 
54 
53 

+      2^ 

9 

10 

11 

9.23184 
.23191 
.23198 
.23205 

.17055 
.17057 
.17060 
.17063 

9.23601 
.23608 
.23615 
.23622 

.17219 
.17222 
.17225 
.17227 

9.24015 
.24022 
.24029 
.24036 

.17384 
.17387 
.17390 
.17392 

9.24427 
.24434 
.24441 
.24448 

.17550 
.17552 
,17555 
.17558 

9.24837 
.24843 
.24850 

.24857 

.17716 
.17719 
.17722 
.17724 

52 
51 
50 
49 
48 
47 
46 
45 

+      3' 

13 

14 
15 

9.23212 
.23219 
.23226 
.23233 

.17066 
.17068 
.17071 
.17074 

9.23629 
.23635 
.23642 
.23649 

.17230 
.17233 
.17235 
.17238 

9.24043 
.24050 
.24056 
.24063 

.17395 
.17398 
.17401 

.17403 

9.24454 
.24461 
.24468 
.24475 

.17561 
.17563 
.17566 
.17569 

9.24864 
.24871 

.24877 
.24884 

.17727 
.17730 
.17733 
.17735 

+  ^' 
17 
18 
19 

9.23240 
.23247 
.23254 
.23261 

.17076 
.17079 
.17082 
.17085 

9.23656 
.23663 
.23670 , 
.23677 

.17241 
.17244 
.17246 
.17249 

9.24070 
.24077 
.24084 
.24091 

.17406 
.17409 
.17412 
.17414 

9.24482 
.24489 
.24495 
.24502 

.17572 
.17575 
.17577 
.17580 

9.24891 
.24898 
.24905 
.24911 

.17738 
.17741 
.17744 
.17746 

44 
43 
42 
41 

+   5' 
21 

22 
23 

9.23268 
.23275 
.23282 
.23289 

.17087 
.17090 
.17093 
.17096 

9.23684 
.23691 
.23698 
.23705 

.17252 
.17255 
.17257 
.17260 

9.24098 
.24105 
.24111 
.24118 

.17417 
.17420 
.17423 
.17425 

9.24509 
.24516 
.24523 
.24530 

.17583 
.17586 

.17588 
.17591 

9.24918 
.24925 
.24932 
.24939 

.17749 
.17752 
.17755 
.17758 

40 
39 
38 
37 

+   6^ 

25 
26 
27 

9.23295 
.23302 
.23309 
.23316 

.17098 
.17101 
.17104 
.17107 

9.23712 
.23718 
.23725 
.23732 

.17263 
.17266 
.17268 
.17271 

9.24125 
.24132 
.24139 
.24146 

.17428 
.17431 
.17434 
.17436 

9.24536 
.24543 
.24550 
.24557 

.17594 
.17597 
.17600 
.17602 

9.24945 
.24952 
.24959 
.24966 

.17760 
.17763 
.17766 
.17769 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.23323 
.23330 
.23337 
.23344 

.17109 
.17112 
.17115 
.17117 

9.23739 
.23746 
.23753 
.23760 

.17274 
.17277 
.17279 
.17282 

9.24153 
.24160 
.24166 
.24173 

.17439 
.17442 
.17445 
.17447 

9.24564 
.24571 
.24577 
.24584 

.17605 
.17608 
.17611 
.17613 

9.24973 
.24979 
.24986 
.24993 

.17772 
.17774 
.17777 
.17780 

32 
31 
SO 
29 

+   8' 
33 
34 
35 

9.23351 
.23358 
.23365 
.23372 

.17120 
.17123 
.17126 
.17128 

9.23767 
.23774 
.23781 
.23788 

.17285 

.17288 
.17290 
.17293 

9.24180 
.24187 
.24194 
.24201 

.17450 
.17453 
.17456 
.17458 

9.24591 
.24598 
.24605 
.24612 

.17616 
.17619 
.17622 
.17624 

9.25000 
.25007 
.25013 
.25020 

.17783 
.17785 

.17788 
.17791 

28 
27 
26 

25 

24 
23 

22 
21 

+  9' 

37 
38 
39 

9.23379 
.233-86 
.23393 
.23400 

.17131 
.17134 
.17137 
.17139 

9.23794 
.23801 
.23808 
.23815 

.17296 
.17299 
.17301 
.17304 

9.24208 
.24215 
.24221 
.24228 

.17461 
.17464 
.17467 
.17470 

9.24618 
.24625 
.24632 
.24639 

.17627 
.17630 
.17633 
.17636 

9.25027 
.25034 
.25040 
.25047 

.17794 
.17797 
.17799 
.17802 

+    W 

41 
42 
43 

9.23407 
.23414 
.23421 
.23427 

.17142 
.17145 
.17148 
.17150 

9.23822 
.23829 
.23836 
.23843 

.17307 
.17310 
.17313 
.17315 

9.24235 
.24242 
.24249 
.24256 

.17472 
.17475 

.17478 
.17481 

9.24646 
.24653 
.24659 
.24666 

.17638 
.17641 
.17644 
.17647 

9.25054 
.25061 
.25068 
.25074 

.17805 

.17808 
.17811 
.17813 

20 
19 
18 
17 

+    11^ 

45 
46 
47    ■ 

9.23434 
.23441 
.23448 
.23455 

.17153 
.17156 
.17159 
.17161 

9.23850 
.23857 
.23863 
.23870 

.17318 
.17321 
.17323 
.17326 

9.24263 
.24269 

.24276 
.24283 

.17483 
.17486 
.17489 
.17492 

9.24G73 
.24680 
.24687 
.24694 

.17649 
.17652 
.17655 
.17658 

9.25081 
.25088 
.25095 
.25102 

.17816 
.17819 
.17822 
.17824 

16 
15 
14 
IS 

+    12' 

49 
50 
51 

9.23462 
.23469 
.23478 
.23483 

.17164 
.17167 
.17170 
.17172 

9.23877 
.23884 
.23891 
.23898 

.17329 
.17332 
.17335 
.17337 

9.24290 
.24297 
.24304 
.24311 

.17494 
.17497 
.17500 
.17503 

9.24700 
.24707 
.24714 
.24721 

.17661 
.17663 
.17666 
.17669 

9.25108 
.25115 
.25122 
.25129 

.17827 

.17830 
.17833 
.17836 

12 

11 

10 

9 

+    13' 

53 

54 
55 

9.23490 
.23497 
.23504 
.23511 

.17175 
.17178 
.17181 
.17183 

9.23905 
.23912 
.23919 
.23926 

.17340 
.17343 
.17346 
.17348 

9.24317 
.24324 
.24331 
.24338 

.17505 
.17508 
.17511 
.17514 

9.24728 
.24734 
.24741 
.24748 

.17672 
.17674 
.17677 
.17680 

9.25135 
.25142 
.25149 
.25156 

.17838 
.17841 
.17844 

.17847 

8 
7 
6 
5 

+    14' 

57 
58 
59 

9.23518 
.23525 
.23532 
.23538 

.17186 
.17189 
.17192 
.17194 

9.23932 
.23939 
.23946 
.23953 

.17351 
.17354 
.17357 
.17359 

9.24345 
.24352 
.24359 
.24365 

.17517 
.17519 
.17522 
.17525 

9.24755 

.24762 
.24768 
.24775 

.17683 
.17686 

.17688 
.17691 

9.25163 
.25169 
.25176 
.25183 

.17849 

.17852 
.17855 

.17858 

4 
3 

2 
1 

+    15' 

9.23545 

.17197 

9.23960 

.17362 

9.24372 

.17528 

9.24782 

.17694 

9.25190 

1  .17861 

0 

20^  44^ 

20f>'  4Sin 

20h  42m 

20h4]m 

oQh  4om 

Page  84] 

TABLE  IV. 

Haversines. 

s 

5'»  20m  50°  0" 

Sh  Sim  50°  15" 

Sh  22m  60°  30" 

3h  2Sm  50°  45" 

Sh  24m 

51°  6' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hay. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 
2 

3 

9.25190 
.25196 
.25203 
.25210 

.17861 
.17863 
.17866 
.17869 

9.25595 
.25602 
.25608 
.25615 

.18038 
.18031 
.18034 
.18036 

9.25998 
.26005 
.26011 
.26018 

.18196 
.18199 
.18303 
.18305 

9.26398 
.26405 
.26412 
.26418 

.18365 
.18368 
.18370 
.18373 

9.26797 
.26804 
.26810 
.26817 

.18534 
.18537 
.18540 
.18542 

60 
59 
58 
57 

+    r 

5 
6 
7 

9.25217 
.25224 
.25230 
.25237 

.17873 

.17875 
.17877 

.17880 

9.25622 
.25629 
.25635 
.25642 

.18039 
.18043 
.18045 
.18048 

9.26025 
.26031 
.26038 
.26045 

.18307 
.18310 
.18313 
.18316 

9.26425 
.26432 
.26438 
.26445 

.18376 
.18379 

.18383 
.18384 

9.26823 
.26830 
.26837 
.26843 

.18545 

.18548 
.18551 
.18554 

56 
55 
54 
53 

+     V 

9 

10 

11 

9.25244 
.25251 
.25257 
.25264 

.17883 

.17886 
.17888 
.17891 

9.25649 
.25655 
.25662 
.25669 

.18050 
.18053 
.18056 
.18059 

9.26051 
.26058 
.26065 
.26071 

.18319 
.18231 
.18334 

.18327 

9.26452 
.26458 
.26465 
.26472 

.18387 
.18390 
.18393 
.18396 

9.26850 
.26856 
.26863 
.26870 

.18557 

.18559 
.18563 
.18565 

52 
51 
50 
49 

+   3" 

13 

14 
15 

9.25271 
.25278 
.25284 
.25291 

.17894 
.17897 
.17900 
.17903 

9.25676 
.25682 
.25689 
.25696 

.18063 
.18064 
.18067 
.18070 

9.26078 
.26085 
.26091 
.26098 

.18330 
.18333 
.18335 

.18238 

9.26478 
.26485 
.26492 
.26498 

.18399 
.18401 
.18404 
.18407 

9.26876 
.26883 
.26890 
.26896 

.18568 
.18571 
.18574 
.18576 

4S 
47 
46 
45 

+      4" 
17 
18 
19 

9.25298 
.25305 
.25311 
.25318 

.17905 
.17908 
.17911 
.17914 

9.25703 
.25709 
.25716 
.25723 

.18073 
.18076 

.18078 
.18081 

9.26105 
.26112 
.26118 
.26125 

.18241 
.18244 
.18247 
.18249 

9.26505 
.26512 
.26518 
.26525 

.18410 
.18413 
.18415 
.18418 

9.26903 
.26909 
.26916 
.26923 

.18579 

.18583 
.18585 
.18588 

44 
43 
42 
41 

+      5" 
21 
22 
23 

9.25325 
.25332 
.25339 
.25345 

.17916 
.17919 
.17933 
.17935 

9.25729 
,25736 
.25743 
.25750 

.18084 

.18087 
.18090 
.18093 

9.26132 
.26138 
.26145 
.26152 

.18352 
.18255 
.18358 
.18261 

9.26532 
.26538 
.26545 
.26551 

.18431 
.18434 
.18437 

.18430 

9.26929 
.26936 
.26942 
.26949 

.18591 
.18593 
.18596 
.18599 

40 
39 
38 
37 

+      6" 

25 
26 
27 

9.25352 
.25359 
.25366 
.25372 

.17928 
.17930 
.17933 
.17936 

9.25756 
.25763 
.25770 
.25776 

.18095 
.18098 
.18101 
.18104 

9.26158 
.26165 
.26172 
.26178 

.18263 
.18366 
.18369 
.18373 

9.26558 
.26565 
.26571 
.26578 

.18433 
.18435 

.18438 
.18441 

9.26956 
.26962 
.26969 
.26975 

.18603 
.18605 

.18608 
.18610 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.25379 
.25386 
.25393 
.25399 

.17939 
.17941 
.17944 
.17947 

9.25783 
.25790 
.25797 
.25803 

.18106 
.18109 
.18113 
.18115 

9.26185 
.26192 
.26198 
.26205 

.18275 
.18277 
.18280 
.18283 

9.26585 
.26591 
.26598 
.26605 

.18444 
.18446 
.18449 
.18452 

9.26982 
.26989 
.26995 
.27002 

.18613 
.18616 
.18619 
.18633 

32 
31 
SO 
29 

+  8" 
33 
34 
35 

9.25406 
.25413 
.25420 
.25426 

.17950 
.17953 
.17955 
.17958 

9.25810 
.25817 
.25823 
.25830 

.18118 
.18130 
.18133 
.18136 

9.26212 
.26218 
.26225 
.26232 

.18386 
.18289 
.18293 
.18294 

9.26611 
.26618 
.26625 
.26631 

.18455 

.18458 
.18461 
.18463 

9.27008 
.27015 
.27022 
.27028 

.18634 
.18627 
.18630 
.18633 

28 
27 
26 

25 

+      9' 

37 
38 
39 

9.25433 
.25440 
.25447 
.25453 

.17961 

.17964 

,  .17967 

.17969 

9.25837 
.25844 
.25850 
.25857 

.18139 
.118133 
.18134 
.18137 

9.26238 
.26245 
.26252 
.26259 

.18297 
.18300 
.18303 
.18306 

9.26638 
.26644 
.26651 
.26658 

.18466 
.18469 
.18472 
.18475 

9.27035 
.27041 
.27048 
.27055 

.18636 
.18639 
.18641 
.18644 

24 

23 
22 
21 

+    10" 

41 

42 
43 

9.25460 
.25467 
.25474v 
.25480^ 

.17973 
.17975 
.17978 
.17981 

9.25864 
.25870 
.25877 
.25884 

.18140 
.18143 
.18146 
.18148 

9.26265 
.26272 
.26279 
.26285 

.18308 
.18311 
.18314 
.18317 

9.26664 
.26671 
.26678 
.26684 

.18478 
.18480 
.18483 

.18486 

9.27061 
.27068 
.27074 
.27081 

.18647 
.18650 
.18653 
.18656 

20 
19 
18 
17 

+  11' 

45 
46 
47 

9.25487 
.25494 
.25500 
.25507 

.17983 
.17986 
.17989 
.17993 

9.25891 
.25897 
.25904 
.25911 

.18151 
.18154 
.18157 
.18160 

9.26292 
.26299 
.26305 
.26312 

.18320 
.18323 
.18325 
.18328 

9.26691 
.26697 
.26704 
.26711 

.18489 
.18492 
.18494 
,18497 

9.27088 
.27094 
.27101 
.27107 

.18658 
.18661 
.18664 
.18667 

16 
15 
14 
IS 

+    13" 

49 
50 
51 

9.25514 
.25521 
.25528. 
.25534 

.17995 
.17997 
.18000 

.18003 

9.25917 
.25924 
.25931 
.25938 

.18163 
.18165 
.18168 
.18171 

9.26319 

.26325 
.26332 
.26339 

.18331 
.18334 
.18337 
.18339 

9.26717 
.26724 
.26731 
.26737 

.18500 
.18503 
.18506 
.18509 

9.27114 
.27121 
.27127 
.27134 

.18670 
.18673 
.18675 

.18678 

12 

11 

10 

9 

+  13" 

53 
54 
55 

9.25541 
.25548 
.25544 
.25561 

.18006 
.18008 
.18011 
.18014 

9.25944 
.25951 
.25958 
.25964 

.18174 
.18176 
.18179 
.18183 

9.26345 
.26352 
.26359 
.26365 

.18342 
.18345 
.18348 
.18351 

9.26744 
.26751 
.26757 
.26764 

.18511 
.18514 
.18517 
.18520 

9.27140 
.27147 
.27154 
.27160 

.18681 
.18684 

.18687 
.18690 

8 
7 
6 
5 

4 
3 

2 
1 

+  14" 

57 
58 
59 

9.25568 
.25575 
.25581 
.25588 

.18017 
.18030 
.18033 
.18035 

9.25971 
.25978 
.25984 
.25991 

.18185 
.18188 
.18190 
.18193 

9.26372 
.26378 
.26385 
.26392 

.18353 
.18356 
.18359 
.18363 

9.26770 
.26777 
.26784 
.26790 

.18523 
.18526 

.18528 
.18531 

9.27167 
.27173 
.27180 
.27186 

.18693 
.18695 
.18698 
.18701 

+    15" 

9.25595 

.18038 

9.25998 

.18196 

9.26398 

.18365 

9.26797 

.18534 

9.27193 

.18704 

0 

_ 

20^  39m         1 

20^  SS^ 

20^  37m         1 

20h  36m          1 

20^  S5m         1 

TABLE  IV. 

Haversines. 

[Page  85 

Sfi  26m  51°  15' 

3h  26m  51°  30'    | 

3h  27m  51°  W    1 

3h  28m  5%°  0^ 

Stt  29m  62°  15^  1 

s 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Ilav. 

Nat.  nav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 
2 
S 

9.27193 
.27200 
.27206 
.27213 

.18704 
.18707 
.18710 
.18713 

9.27587 
.27594 
.27600 
.27607 

.18874 
.18877 
.18880 
.18883 

9.27979 
.27985 
.27992 
.27998 

.19045 
.19048 
.19051 
.19054 

9.28368 
.28375 
.28381 
.28388 

.19217 
.19220 
.19223 
.19226 

9.28756 
.28762 
.28769 
.28775 

.19389 
.19392 
.19395 
.19398 

60 
69 
68 
57 

+    r 

5 
6 
7 

9.27219 

.27226 
.27233 
.27239 

.18715 

.18718 
.18721 
.18724 

9.27613 
.27620 
.27626 
.27633 

.18886 
.18888 
.18891 
.18894 

9.28005 
.28011 
.28018 
.28024 

.19057 
.19060 
.19062 
.19065 

9.28394 
.28401 
.28407 
.28414 

.19228 
.19231 
.19234 
.19237 

9.28782 
.28788 
.28794 
.28801 

.19401 
.19404 
.19406 
.19409 

66 
55 
54 
53 

+      ^ 

9 

10 

11 

9.27246 
.27252 
.27259 
.27265 

.18727 
.18729 
.18732 
.18735 

9.27639 
.27646 
.27652 
.27659 

.18897 
.18900 
.18903 
.18906 

9.28031 
.28037 
.28044 
.28050 

.19068 
.19071 
.19074 
.19077 

9.28420 
.28427 
.28433 
.28440 

.19240 
.19243 
.19246 
.19248 

9.28807 
.28814 
.28820 
.28827 

.19412 
.19415 
.19418 
.19421 

52 
61 
60 
49 
48 
47 
46 
45 

44 
43 
42 
41 

+   3^ 

13 
14 
15 

9.27272 
.27279 
.27285 
.27292 

.18738 
.18741 
.18744 
.18746 

9.27666 
.27672 
.27679 
.27685 

.18908 
.18912 
.18914 
.18917 

9.28057 
.28063 
.28070 
.28076 

.19080 
.19082 
.19085 
.19088 

9.28446 
.28453 
.28459 
.28465 

.19251 
.19254 
.19257 
.19260 

9.28833 
.28840 
.28846 
.28852 

.19424 
.19427 
.19429 
.19432 

+   4^ 
17 
18 
19 

9.27298 
.27305 
.27311 
.27318 

.18749 
.18752 
.18755 

.18758 

9.27692 
.27698 
.27705 
.27711 

.18920 
.18923 
.18926 

.18928 

9.28083 
.28089 
.28096 
.28102 

.19091 
.19094 
.19097 
.19100 

9.28472 
.28478 
.28485 
.28491 

.19263 
.19266 
.19269 
.19271 

9.28859 
.28865 
.28872 
.28878 

.19435 
.19438 
.19441 
.19444 

+  ^ 
21 

22 
23 

9.27325 
.27331 
.27338 
.27344 

.18761 
.18763 
.18766 
.18769 

9.27718 
.27724 
.27731 
.27737 

.18931 
.18934 
.18937 
.18940 

9.28109 
.28115 
.28122 
.28128 

.19102 
.19105 
.19108 
.19111 

9.28498 
.28504 
.28511 
.28517 

.19274 
.19277 
.19280 
.19283 

9.28885 
.28891 
.28897 
.28904 

.19447 
.19450 
.19452 
.19455 

40 
39 
38 
37 

+  ^ 

25 
26 

27 

9.27351 
.27357 
.27364 
.27371 

.18772 
.18775 
.18778 
.18780 

9.27744 
.27751 
.27757 
.27764 

.18943 
.18945 
.18948 
.18951 

9.28135 
.28141 
.28148 
.28154 

.19114 
.19117 
.19120 
.19122 

9.28524 
.28530 
.28537 
.28543 

.19286 
.19289 
.19291 
.19294 

9.28910 
.28917 
.28923 
.28930 

9.28936 
.28942 
.28949 
.28955 

.19458 
.19461 
.19464 
.19467 

36 
36 
34 
33 
32 
31 
30 
29 

+    r 

29 
SO 
31 

9.27377 
.27384 
.27390 
.27397 

.18783 
.18786 
.18789 
.18792 

9.27770 

.27777 
.27783 
.27790 

.18954 
.18957 
.18960 
.18963 

9.28161 
.28167 
.28174 
.28180 

.19125 
.19128 
.19131 
.19134 

9.28549 
.28556 
.28562 
.28569 

.19297 
.19300 
.19303 
.19306 

.19470 
.19473 
.19475 
.19478 

+      9/ 
33 
34 
35 

9.27403 
.27410 
.27417 
.27423 

.18795 
.18797 
.18800 
.18803 

9.27796 
.27803 
.27809 
.27816 

.18965 
.18968 
.18971 
.18974 

9.28187 
.28193 
.28200 
.28206 

.19137 
.19140 
.19142 
.19145 

9.28575 
.28582 
.28588 
.28595 

.19309 
.19311 
.19314 
.19317 

9.28962 
.28968 
.28974 
.28981 

.19481 
.19484 
.19487 
.19490 

28 
27 
26 
25 

+      9^ 

37 
38 
39 

9.27430 
.27436 
.27443 
.27449 

.18806 
.18809 
.18812 
.18815 

9.27822 
.27829 
.27835 
.27842 

.18977 
.18980 
.18983 

.18985 

9.28213 
.28219 
.28226 
.28232 

.19148 
.19151 
.19154 
.19157 

9.28601 
.28608 
.28614 
.28620 

.19320 
.19323 
.19326 
.19329 

9.28987 
.28994 
.29000 
.29007 

.19493 
.19496 
.19499 
.19501 

24 
23 
22 
21 
20 
19 
18 
17 
16 
16 
14 
13 

+    1(K 

41 
42 
43 

9.27456 
.27463 
.27469 
.27476 

.18817 
.18820 

.18823 
.18826 

9.27848 
.27855 
.27861 
.27868 

.18988 
.18991 
.18994 
.18997 

9.28239 
.28245 
.28252 
.28258 

.19160 
.19163 
.19165 
.19168 

9.28627 
.28633 
.28640 
.28646 

.19332 
.19335 
.19337 
.19340 

9.29013 
.29019 
.29026 
.29032 

.19504 
.19507 
.19510 
.19513 

+  11^ 

45 
46 
47 

9.27482 
.27489 
.27495 
.27502 

.18829 
.18832 
.18834 
.18837 

9.27875 
.27881 
.27888 
.27894 

.19000 
.19002 
.19005 
.19008 

9.28265 
.28271 
.28278 
.28284 

.19171 
.19174 
.19177 
.19180 

9.28653 
.28659 
.28666 
.28672 

.19343 
.19346 
.19349 
.19352 

9.29039 
.29045 
.29051 
.29058 

.19516 
.19519 
.19522 
.19524 

+  1%' 

49 
60 
61 

9.27508 
.27515 
.27522 
.27528 

.18840 
.18843 
.18846 
.18849 

9.27901 
.27907 
.27914 
.27920 

.190U 
.19014 
.19017 
.19020 

9.28291 
.28297 
.28304 
.28310 

.19183 
.19185 
.19188 
.19191 

9.28679 
.28685 
.28691 
.28698 

.19355 
.19358 
.19360 
.19363 

9.29064 
.29071 
.29078 
.29084 

.19527 
.19530 
.19533 
.19536 

12 

11 

10 

9 

+  13^ 

63 
54 

66 

9.27535 
.27541 
.27548 
.27554 

.18852 
.18854 
.18857 
.18860 

9.27927 
.27933 
.27940 
.27946 

.19022 
.19025 
.19028 
.19031 

9.28317 
.28323 
.28330 
.28336 

.19194 
.19197 
.19200 
.19203 

9.28704 
.28711 
.28717 
.28724 

.19366 
.19369 
.19372 
.19375 

9.29090 
.29096 
.29103 
.29109 

.19539 
.19542 
.19545 
.19548 

8 

7 
6 
6 

57 
58 

59 

9.27561 
.27567 
.27574 
.27580 

.18863 

.18866 
.18869 

.18871 

9.27953 
.27959 
.27966 

.27972 

.19034 
.19037 
.19040 
.19042 

9.28342 
.28349 
.28355 
.28362 

.19205 
.19208 
.19211 
.19214 

9.28730 

.28737 
.28743 
.28749 

.19378 
.19381 
.19383 
.19386 

9.29116 
.29122 
.29128 
.29135 

.19550 
.19553 
.19556 
.19559 

4 
3 

2 
1 

+    ly 

9.27587 

.18874 

9.27979 

.19045 

9.28368 

.19217 

9.28756 

.19389 

9.29141 

.19562 

0 

20h 

34m 

20h  SSm 

20h  S2m 

20h  Sim 

20hS0m 

Page  86] 

TABLE  IV. 

Haveraines. 

s 

3^  30m  53°  30' 

3h3im 

62°  45' 

ShS2^ 

53°  C 

.5  A  33m  53°  15' 

3h34m 

53°  30' 

s 

Log.  Hav. 

Nat.  llav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Ilav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav 

Nat.  Hav. 

0 
1 
2 
S 

9.29141 

.29148 
.29154 
.29160 

.19563 
.19565 
.19568 
.19571 

9.29524 
.29531 
.29537 
.29543 

.19735 
.19738 
.19741 
.19744 

9.29906 
.29912 
.29918 
.29925 

.19909 
.19913 
.19915 
.19918 

9.30285 
.30291 
.30207 
.30303 

.20084 
.20087 
.30090 
.20093 

9.30662 
.30068 
.30674 
.30680 

.20359 
.30363 
.30366 
.30368 

60 
59 
58 
57 
56 
55 
54 
53 
52 
51 
50 
49 

+    r 

5 
6 

7 

9.29167 
.29173 
.29180 
.29186 

.19573 
.19576 
.19579 
.19583 

9.29550 
.29556 
.29563 
.29569 

.19747 
.19760 
.19763 
.19756 

9.29931 
.29937 
.29943 
.29950 

.19931 
.19934 
.19927 
.19930 

9.30310 
.30316 
.30322 
.30329 

.20095 
.30098 
.30101 
.30104 
.20107 
.20110 
.20113 
.20116 

9.30687 
.30693 
.30699 
.30705 

9.30712 
.30718 
.30724 
.30730 

.30371 
.30373 
.30376 
.20379 

.20383 
.20285 
.20388 
.30391 

+  2' 

9 

10 

11 

9.29192 
.29199 
.29205 
.29212 

.19585 
.19588 
.19591 
.19591 

9.29575 
.29582 
.29588 
.29594 

.19758 
.19761 
.19764 
.19767 

9.29956 
.29962 
.29969 
.29975 

.19933 
.19935 
.19938 
.19941 

9.30335 
.30341 
.30348 
.30354 

+     3' 

13 
14 
15 

9.29218 
.29224 
.29231 
.29237 

.19597 
.19599 
.19603 
.19605 

9.29601 
.29607 
.29614 
.29620 

.19770 
.19773 
.19776 
.19779 

9.29981 
.29988 
.29994 
.30000 

.19944 
.19947 
.19950 
.19953 

9.30360 
.30366 
.30373 
.30379 

.20119 
.20122 
.20125 
.20127 

9.30737 
.30743 
.30749 
.30755 

.30294 
.20297 
.20300 
.20303 

48 
47 
46 

45 

+     r 
17 
18 
19 

9.29244 
.29250 
.29256 
.29263 

.19608 
.19611 
.19614 
.19617 

9.29626 
.29633 
.29639 
.29645 

.19783 
.19785 
.19787 
.19790 

9.30007 
.30013 
.30019 
.30026 

.19956 
.19959 
.19963 
.19964 

9.30385 
.30392 
.30398 
.30404 

.20130 
.20133 
.20136 
.20139 

9.30762 
.30768 
.30774 
.30780 

.20308 
.20309 
.30313 
.30314 

u 

43 
42 
41 

+  5' 

21 
22 
23 

9.29269 
.29276 
.29282 
.29288 

.19630 
.19633 
.19635 
.19638 

9.29652 
.29658 
.29664 
.29671 

.19793 
.19796 
.19799 
.19803 

9.30032 
.30038 
.30045 
.30051 

.19967 
.19970 
.19973 
.19976 

9.30410 
.30417 
.30423 
.30429 

.20142 
.20145 
.20148 
.20151 

9.30787 
.30793 
.30799 
.30805 

.30317 
.30330 
.30333 
.30326 

40 
39 
38 
37 
36 
35 
34 
33 

+  6' 

25 
26 

27 

9.29295 
.29301 
.29307 
.29314 

.19631 
.19634 
.19637 
.19640 

9.29677 
.29683 
.29690 
.29696 

.19805 
.19808 
.19811 
.19814 

9.30057 
.30064 
.30070 
.30076 

.19979 
.19982 
.19985 
.19988 

9.30436 
.30442 
.30448 
.30454 

.20154 
.20157 
.20160 
.20162 

9.30812 
.30818 
.30824 
.30830 

.30339 
.30333 
.30336 
.20338 

+    r 

29 
30 

31 

9.29320 
.29327 
.29333 
.29339 

.19643 
.19646 
.19649 
.19651 

9.29703 
.29709 
.29715 
.29722 

.19816 
.19819 
.19823 
.19825 

9.30083 
.30089 
.30095 
.30102 

.19991 
.19994 
.19996 
.19999 

9.30461 
.30467 
.30473 
.30480 

.20165 
.20168 
.20171 
.20174 

9.30837 
.30843 
.30849 
.30855 

.20341 
.20344 
.20347 
.20350 
.20352 
.20355 
.20358 
.20361 

32 
31 
30 

29 
28 
27 
26 
25 

+      8' 
33 
34 
35 

9.29346 
.29352 
.29359 
.29365 

.19654 
.19657 
.19660 
.19663 

9.29728 
.29734 
.29741 
.29747 ■ 

.19828 
.19831 
.19834 
.19837 

9.30108 
.30114 
.30121 
.30127 

.30003 
.30005 
.30008 
.30011 

9.30486 
.30492 
.30498 
.30505 

.20177 
.20180 
.20183 
.20186 

9.30862 
.30868 
.30874 
.30880 

+      r 

57 
38 
39 

9.29371 
.29378 
.29384 
.29391 

.19666 
.19669 
.19673 
.19675 

9.29753 
.29760 
.29766 
.29772 

.19840 
.19843 
.19845 
.19848 

9.30133 
.30139 
.30146 
.30152 

.20014 
.20017 
.20020 
.20033 

9.30511 
.30517 
.30524 
.30530 

.20189 
.30193 
.30195 
.20198 

9.30887 
.30893 
.30899 
.30905 

.20364 
.20367 
.20370 
.20373 

24 
23 
22 
21 

+  10' 

41 
42 
43 

9.29397 
.29403 
.29410 
.29416 

.19677 
.19680 
.19683 
.19686 

9.29779 
.29785 
.29791 
.29798 

.19851 
.19854 
.19857 
.19860 

9.30158 
.30165 
.30171 
.30177 

.20026 
.20038 
.20031 
.20034 

9.30536 
.30542 
.30549 
.30555 

.20300 
.30303 
.30306 
.20209 

9.30912 
.30918 
.30924 
.30930 

.20376 
.20379 
.20382 
.20385 

20 
19    ■ 
18    . 
17    ' 

+    11' 

45 
46 

47 

9.29422 
.29429 
.29435 
.29442 

.19689 
.19693 
.19695 
.19698 

9.29804 
.29810 
.29817 
.29823 

.19863 
.19866 
.19869 
.19873 

9.30184 
.30190 
.30196 
.30203 

.20037 
.20040 
.20043 
.20046 

9.30561 
.30567 
.30574 
.30580 

.20212 
.20216 
.20218 
.30331 

9.30937 
.30943 
.30949 

\30955 

'  .30388 
.20391 
.20393 
.20396 

16 
15 
14 
13 
12    ■ 
11 
10 
9 

+  ir 

49 
50 
51 

9.29448 
.29454 
.29461 
.29467 

.19701 
.19703 
.19706 
.19709 

9.29829 
.29836 
.29842 
.29848 

.19874 
.19877 
.19880 
.19883 

9.30209 
.30215 
.30222 
.30228 

.20049 
.20052 
.20055 
.20058 

9.30586 
.30593 
.30599 
.30605 

.20334 
.30337 
.30330 
.20233 

9.30962 
.30968 
.30974 
.30980 

.20399 
.20402 
.20405 
.20408 

+  13' 

53 
54 
55 

9.29473 
.29480 
.29486 
.29493 

.19713 
.19715 
.19718 
.19731 

9.29855 
.29861 
.29867 
.29874 

.19886 
.19889 
.19893 
.19895 

9.30234 
.30240 
.30247 
.30253 

.20060 
.20063 
.20066 
.20069 

9.30611 
.30618 
.30624 
.30630 

.20235 
.20238 
.20341 
.30344 

9.30987 
.30993 
.30999 
.31005 

.30411 
.30414 
.30417 
.20430 

8 
7 
6 
5 

+  14' 

57 
58 
59 

9.29499 
.29505 
.29512 
.29518 

.19734 
.19737 
.19730 
.19733 

9.29880 
.29886 
.29893 
.29899 

.19898 
.19901 
.19903 
.19906 

9.30259 
.30266 
.30272 
.30278 

.20073 
.20076 
.20078 
.20081 

9.30636 
.30643 
.30649 
.30655 

.30347 
.30250 
.20353 
.20356 

9.31012 
.31018 
.31024 
.31030 

.30433 
.20426 
.20429 
.20432 

4 
3 
2 
1 
0 

+  15' 

9.29524 

.19735 

9.29906 

.19909 

9.30285 

.20084 

9.30662 

.20259 

9.31036 

.20436 

20h  29^ 

20^  28^ 

20'h'  27'"^ 

20h  26>n          | 

20h 

S5m 

TABLE  IV.                                             [Page  87 
Havereines. 

s 

3h  35m  5Z°i5'    1 

Sh  36m  54°  0'  | 

Sh  37m  u°  w 

3hS8m5i°W        3f^  39m  5i°i5'    | 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Ilav. 

Nat.  Ilav. 

Log.  Ilav. 

Nat.  Uav. 

Log.  Ilav. 

Nat.  Ilav. 

Log.  Uav. 

Nat.  Hav. 

0 
1 

2 
3 

9.31036 
.31043 
.31049 
.31055 

.20435 
.20437 
.20440 
.20443 

9.31409 
.31416 
.31422 
.31428 

.20011 
.30614 
.30617 
.20620 

9.31780 
.31786 
.31793 
.31799 

.30788 
.30790 
.30793 
.30796 

9.32149 
.32155 
.32161 
.32168 

.30965 
.20968 
.20971 
.20974 

9.32516 
.32522 
.32528 
.32534 

.21143 
.31146 
.31149 
.31153 

60 
59 
58 
57 

+    r 

5 
6 
7 

9.31061 
.31068 
.31074 
.31080 

.20446 
.30449 
.30452 
.30455 

9.31434 
.31440 
.31447 
.31453 

.20623 
.30636 
.30639 
.30631 
.30634 
.20637 
.30640 
.30643 

9.31805 
.31811 
.31817 
.31823 

.30799 
.30803 
.30805 
.30808 

9.32174 
.32180 
.32186 
.32192 

.30977 
.30980 
.20983 
.20986 

9.32541 
.32547 
.32553 
.32559 

9.32565 
.32571 
.32577 
.32583 

.31155 
.31158 
.31161 
.31164 

56 
55 
64 
53 

+   2^ 

9 

10 

11 

9.31086 
.31093 
.31099 
.31105 

.30458 
.20461 
.30464 
.30467 

9.31459 
.31465 
.31471 
.31478 

9.31830 
.31836 
.31842 
.31848 

.30811 
.30814 
.30817 
.30830 

9.32198 
.32204 
.32210 
.32217 

9.32223 
.32229 
.32235 
.32241 

.20989 
.20991 
.20994 
.20997 

.31167 
.31169 
.31173 
.31175 

52 
51 
50 
49 
48 
47 
46 
45 

+  3' 

13 
U 
15 

9.31111 
.31117 
.31124 
.31130 

.30470 
.30473 
.20476 
.30479 

9.31484 
.31490 
.31496 
.31502 

.30646 
.30649 
.30653 
.30655 

9.31854 
.31860 
.31867 
.31873 

.30833 
.30836 
.30839 
.30833 

.21000 
.21003 
.21006 
.21009 

9.32589 
.32595 
.32601 
.32608 

.31178 
.31181 
.31184 
.31187 

+      4' 

17 
18 
19 

9.31136 
.31142 
.31149 
.31155 

.30481 
.30484 
.30487 
.30490 

9.31508 
.31515 
.31521 
.31527 

.30658 
.30661 
.30664 
.30667 

9.31879 
.31885 
.31891 
.31897 

.30835 
.30838 
.30841 
.30844 

9.32247 
.32253 
.32259 
.32266 

.31013 
.31015 
.31018 
.31031 

9.32614 
.32620 
.32626 
.32632 

.31190 
.31193 
.31196 
.21199 

44 
43 
42 
41 

+   5' 
21 

22 
23 

9.31161 
.31167 
.31173 
.31180 

.30493 
.30486 
.30499 
.30503 

9.31533 
.31539 
.31546 
.31552 

.30670 
.30673 
.30675 
.30678 

9.31903 
.31910 
.31916 
.31922 

.30847 
.30850 
.30853 
.30855 

9.32272 
.32278 
.32284 
.32290 

.21024 
.31027 
.21030 
.21033 

9.32638 
.32644 
.32650 
.32656 

.21202 
.21205 
.21208 
.21211 

40 
39 
38 

37 

+      6^ 

25 
26 
27 

9.31186 
.31192 
.31198 
.31205 

.30505 
.30508 
.30511 
.30514 

9.31558 
.31564 
.31570 
.31577 

.30681 
.30684 
.30687 
.20690 

9.31928 
.31934 
.31940 
.31947 

.30858 
.30861 
.30864 
.30867 

9.32296 
.32302 
.32308 
.32315 

.31036 
.31039 
.31043 
.21045 

9.32662 
.32668 
.32675 
.32681 

.21214 
.21217 
.21220 
.21233 

36 
35 
34 
S3 

+    r 

29 
30 
31 

9.31211 
.31217 
.31223 
.31229 

.30517 
.30530 
.30523 
.20525 

9.31583 
.31589 
.31595 
.31601 

.20693 
.20696 
.30699 
.30702 

9.31953 
.31959 
.31965 
.31971 

.30870 
.30873 
.30876 
.30879 

9.32321 
.32327 
.32333 
.32339 

.21048 
.21051 
.21054 
.21057 

9.32687 
.32693 
.32699 
.32705 

.31336 
.31339 
.31333 
.21335 

32 
31 
30 
29 

+   8' 
33 
34 
35 

9.31236 
.31242 
.31248 
.31254 

.20528 
.20531 
.20534 
.20537 

9.31607 
.31614 
.31620 
.31626 

.30705 
.30708 
.30711 
.30714 

9.31977 
.31983 
.31990 
.31996 

.30883 
.30885 
.30888 
.30891 

9.32345 
.32351 
.32357 
.32363 

.31060 
.31063 
.31066 
.31069 

9.32711 
.32717 
.32723 
.32729 

.21338 
.31241 
.31344 
.31347 

28 
27 
26 

25 

24 
23 
22 
21 
20 
19 
18 
11 

+      r 

37 
38 
39 

9.31260 
.31267 
.31273 
.31279 

.20540 
.20543 
.20546 
.20549 

9.31632 
.31638 
.31644 
.31651 

.30717 
.30730 
.30723 
.20726 

9.32002 
.32008 
.32014 
.32020 

.30894 
.30897 
.30900 
.20903 

9.32370 
.32376 
.32382 
.32388 

.31072 
.21074 
.21077 
.21080 

9.32735 
.32741 
.32748 
.32754 

.31350 
.31353 
.31256 
.21259 

+    10^ 

41 
42 
43 

9.31285 
.31291 
.31298 
.31304 

.20553 
.30555 
.30558 
.20561 

9.31657 
.31663 
.31669 
.31675 

.20729 
.20731 
.20734 
.20737 

9.32026 
.32033 
.32039 
.32045 

.20906 
.20909 
.20912 
.20915 

9.32394 
.32400 
.32406 
.32412 

.21083 
.21086 
.21089 
.21092 

9.32760 
.32766 

.32772 
.32778 

.31363 
.31265 
.21268 
.21271 

+  ir 

45 
46 
47 

9.31310 
.31316 
.31323 
.31329 

.30564 
.30567 
.30570 
.30573 

9.31682 
.31688 
.31694 
.31700 

.30740 
.30743 
.30746 
.30749 

9.32051 
.32057 
.32063 
.32069 

.30918 
.30930 
.30933 
.30936 

9.32418 
.32425 
.32431 
.32437 

.21095 
.21098 
.31101 
.21104 

9.32784 
.32790 
.32796 
.32802 

.31374 
.31377 
.21380 
.31283 

16 
15 
14 
13 

12 
11 
10 
9 
8 
7 
6 
5 

4 
3 
2 
1 
0 

+  n' 

49 
50 
51 

9.31335 
.31341 
.31347 
.31354 

.30575 
.30578 
.30581 
.30584 

9.31706 
.31712 
.31719 
.31725 

.30753 
.30755 
.20758 
.30761 

9.32076 
.32082 
.32088 
.32094 

.30939 
.30933 
.30935 
.30938 

9.32443 
.32449 
.32455 
.32461 

.21107 
.21110 
.21113 
.21116 

9.32808 
.32814 
.32820 
.32827 

.31385 

.21388 
.21291 
.21394 

+  13^ 

53 
54 
55 

9.31360 
.31366 
.31372 
.31378 

.30587 

.30590 
.30593 
.30596 

9.31731 
.31737 
.31743 
.31749 

.30764 
.20767 
.20770 
.20773 

9.32100 
.32106 
.32112 
.32119 

.30941 
.30944 
.30947 
.30950 

9.32467 
.32473 
.32480 
.32486 

.21119 
.21122 
.21125 
.21128 

9.32833 
.32839 
.32845 
.32851 

.31397 
.21300 
.21303 
.21306 

57 
58 

59 

9.31385 
.31391 
.31397 
.31403 

.30599 
.30603 
.20605 
.20608 

9.31756 
.31762 
.31768 
.31774 

.30776 
.30779 
.30782 
.20785 

9.32125 
.32131 
.32137 
.32143 

.30953 
.30956 
.30959 
.30963 

9.32492 
.32498 
.32504 
.32510 

.31131 
.31134 
.31137 
.21140 

9.32857 
.32863 
.32869 
.32875 

.21309 
.21312 
.21315 
.21318 

+    W 

9.31409 

.20611 

9.31780 

.30788 

9.32149 

.30965 

9.32516 

.21143 

9.32881 

.31321 

20h  24^ 

20h  23m 

20^  22m. 

20^  21m 

20^  20m 

Page  88] 

TABLE  IV. 

Haversines. 

s 

3^40^ 

»  55°  0' 

3h4im 

55°  15' 

3h  42m  55°  3(K 

Sh  4Sm 

55°  45' 

3h  44m 

56°  0' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Ilav. 

Log.  Hav. 

Nat.  Hav 

Log.  Hav. 

Nat.  Hav 

Log.  Hav. 

Nat.  Hav. 

0 
1 
2 
3 

9.32881 
.32887 
.32893 
.32899 

.21331 
.31334 
.31337 
.31330 

9.33244 
.33250 
.33256 
.33262 

.21500 
.21503 
.21506 
.21509 

9.33605 
.33611 
.33617 
.33623 

.21680 
.21683 
.21686 
.21689 

9.33965 
.33971 
.33976 
.33982 

.21860 
.21863 
.21866 
.21869 

9.34322 
.34328 
.34334 
.34340 

.22040 
.32043 
.22046 
.22049 

60 
59 
58 
57 

+    r 

5 
6 
7 

9.32905 
.32911 
.32918 
.32924 

.31333 
.31336 
.21339 
.21342 

9.33268 
.33274 
.33280 
.33286 

.21513 
.21515 
.21518 
.21521 

9.33629 
.33635 
.33641 
.33647 

.21692 
.21695 
.21698 
.21701 

9.33988 
.33994 
.34000 
.34006 

.21873 
.31875 

.31878 
.21881 

9.34346 
.34352 
.34358 
.34363 

.22053 
.23055 
.32058 
.33061 

56 
55 
54 
53 

+     V 

9 

10 

11 

9.32930 
.32936 
.32942 
.32948 

.31345 
.31348 
.31351 
.31354 

9.33292 
.33298 
.33305 
.33311 

.21534 
.21527 
.21530 
.21533 

9.33653 
.33659 
.33665 
.33671 

.21704 
.21707 
.21710 
.21713 

9.34012 
.34018 
.34024 
.34030 

.21884 
.21887 
.21890 
.21893 

9.34369 
.34375 
.34381 
.34387 

.32064 
.22067 
.33071 
.33074 

52 
51 
50 
49 

+   3' 

13 
14 
15 

9.32954 
.32960 
.32966 
.32972 

.21357 
.21360 
.21363 
.31366 

9.33317 
.33323 
.33329 
.33335 

.21536 
.21539 
.21542 
.21545 

9.33677 
.33683 
.33689 
.33695 

.21716 
.21719 
.21722 
.21725 

9.34036 
.34042 
.34048 
.34054 

.31896 
.31899 
.21902 
.21905 

9.34393 
.34399 
.34405 
.34411 

.33077 
.33080 
.33083 
.22086 

48 
47 
46 
45 

+   4' 
17 
18 
19 

9.32978 
.32984 
.32990 
.32996 

.21369 
.21372 
.21375 
.21378 

9.33341 
.33347 
.33353 
.33359 

.21548 
.21551 
.21554 
.21557 

9.33701 
.33707 
.33713 
.33719 

.21728 
.21731 
.21734 
.21737 

9.34060 
.34066 
.34072 
.34078 

.21908 
.21911 
.21914 
.21917 

9.34417 
.34423 
.34429 
.34435 

.22089 
.22092 
.22095 
.32098 

44 
43 
42 
41 

+      5' 
21 
22 
23 

9.33002 
.33008 
.33014 
.33021 

.31381 
.31384 
.31387 
.31390 

9.33365 
.33371 
.33377 
.33383 

.21560 
.21563 
.21566 
.21569 

9.33725 
.33731 
.33737 
.33743 

.31740 
.31743 
.21746 
.21749 

9.34084 
.34090 
.34096 
.34102 

.21920 
.21933 
.31926 
.31929 

9.34441 
.34446 
.34452 
.34458 

.22101 
.22104 
.22107 
.22110 

40 
39 
38 

37 

+      6' 

25 
26 
27 

9.33027 
.33033 
.33039 
.33045 

.21393 
.21396 
.21399 
.21402 

9.33389 
.33395 
.33401 
.33407 

.21572 
.21575 
.21578 
.21581 

9.33749 
.33755 
.33761 
.33767 

.21752 
.21755 
.21758 
.21761 

9.34108 
.34114 
.34120 
.34126 

.21932 
.21935 
.21938 
.21941 

9.34464 
.34470 
.34476 
.34482 

.22113 
.22116 
.22119 
.22123 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.33051 
.33057 
.33063 
.33069 

.21405 
.21408 
.31411 
.31414 

9.33413 
.33419 
.33425 
.33431 

9.33437 
.33443 
.33449 
.33455 

.21584 

.21587 
.21590 
.21593 
.21596 
.21599 
.21602 
.21605 

9.33773 
.33779 
.33785 
.33791 

.21764 
.21767 
.21770 
.21773 

9.34132 
.34137 
.34143 
.34149 

.21944 
.21947 
.21950 
.21953 

9.34488 
.34494 
.34500 
.34506 

.32125 
.22128 
.22131 
.22134 

32 
31 
30 
29 

+   8' 
33 
34 
35 

9.33075 
.33081 
.33087 
.33093 

.21417 
.21430 
.21423 
.21426 

9.33797 
.33803 
.33809 
.33815 

.21776 
.21779 
.21782 
.21785 

9.34155 
.34161 
.34167 
.34173 

.21956 
.31959 
.21962 
.21965 

9.34512 
.34518 
.34524 
.34529 

.22137 
.22140 
.22143 
.22146 

28 
27 
26 

25 

+  ^ 

37 
38 
39    ^ 

9.33099 
.33105 
.33111 
.33117 

.21429 
.21431 
.21434 
.21437 

9.33461 
.33467 
.33473 
.33479 

.21608 
.21611 
.21614 
.21617 

9.33821 
.33827 
.33833 
.33839 

.21788 
.21791 
.21794 
.21797 

9.34179 
.34185 
.34191 
.34197 

.21968 
.21971 
.21974 
.21977 

9.34535 
.34541 
.34547 
.34553 

.22149 
.22152 
.32155 
.22158 

24 
23 

22 

Ti 

+  W 

41 
42 
43 

9.33123 
.33129 
.33135 
.33142 

.21440 
.21443 
.21446 
.21449 

9.33485 
.33491 
.33497 
.33503 

.21630 
.21623 
.21626 
.21629 

9.33845 
.33851 
.33857 
.33863 

.21800 
.21803 
.21806 
.31809 

9.34203 
.34209 
.34215 
.34221 

.31980 
.31983 
.21986 
.21989 

9.34559 
.34565 
.34571 
.34577 

.22161 
.22164 
.22167 
.22170 

20 

19 
18 
17 

+    11^ 

45 
46 
47 

9.33148 
.33154 
.33160 
.33166 

.21452 
.21455 
.31458 
.31461 

9.33509 
.33515 
.33521 
.33527 

.31633 
.21635 
.21638 
.21641 

9.33869 
.33875 
.33881 
.33887 

.21812 
.21815 
.21818 
.21821 
.21834 
.31837 
.31830 
.31833 

9.34227 
.34233 
.34239 
.34245 

.31993 
.21995 
.21998 
.22001 

9.34583 
.34589 
.34595 
.34600 

.33173 
.22176 
.22179 
.22182 

16 
15 
14 
13 
12 
11 
10 
9 

+  13' 

49 
50 
51 

9.33172 
.33178 
.33184 
.33190 

.21464 
.21467 
.21470 
.21473 

9.33533 
.33539 
.33545 
.33551 

.21644 
.21647 
.21650 
.21653 

9.33893 
.33899 
.33905 
.33911 

9.34251 
.34256 
.34262 
.34268 

.22004 
.22007 
.22010 
.22013 

9.34606 
.34612 
.34618 
.34624 

.22185 

.22188 
.22191 
.23194 

+  13' 

53 
54 
55 

9.33196 
.33202 
.33208 
.33214 

.21476 
.21479 
.21482 
.21485 

9.33557 
.33563 
.33569 
.33575 

.21656 
.21659 
.21662 
.21665 

9.33917 
.33923 
.33929 
.33935 

.21836 
.21839 
.21843 
.21845 

9.34274 
.34280 
.34286 
.34292 

.22016 
.22019 
.33032 
.22035 

9.34630 
.34636 
.34642 
.34648 

.22197 
.22300 
.22303 
.22206 

8 
7 
6 
5 

+  14' 

57 
58 
59 

9.33220 
.33226 
.33232 
.33238 

.21488 
.21491 
.31494 
.31497 

9.33581 
.33587 
.33593 
.33599 

.21668 
.21671 
.21674 
.21677 

9.33941 
.33947 
.33953 
.33959 

.21848 
.21851 
.31854 
.21857 

9.34298 
.34304 
34310 
.34316 

.22028 
.32031 
.22034 
.22037 

9.34654 
.34660 
.34666 
.34671 

.22309 
.22313 
.22315 
.22318 

4 
3 

2 

"1 

+  16' 

9.33244 

.31500 

9.33605 

.21680 

9.33965 

.21860 

9.34322 

.22040 

9.34677 

.23321 

0 

20^ 

igm 

20Jil8m 

20h 17m 

20h  16m-         1 

20h 15m         1 

TABLE  IV.                   [Page  89 
Haversines. 

s 

3h  45m  56°  15' 

3h  46m  56°  30^ 

3h  47m  56°  45' 

3^  4Sm  67°  0' 

3h  49m  67°  15' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat  .Hav. 

0 

1 
2 
3 

9.34677 
.34683 
.34689 
.34695 

.22231 
.22225 
.22338 
.32331 

9.35031 
.35037 
.35043 
.35049 

.23403 
.33406 
.33409 
.33413 

9.35383 
.35389 
.35394 
.35400 

.22585 

.23588 
.33591 
.33594 

9.35733 
.35738 
.35744 
.35750 

.22768 
.23771 
.33774 
.33777 

9.36081 
.36086 
.36092 
.36098 

.33951 
.33954 
.33957 
.22960 

60 
59 

58 

57 

+   1' 

5 
6 

7 

9.34701 
.34707 
.34713 
.34719 

.23334 
.33337 
.33340 
.33343 

9.35054 
.35060 
.35066 
.35072 

.33415 
.33418 
.33431 
.33434 
.33437 
.23430 
.33433 
.33437 

9.35406 
.35412 
.35418 
.35424 

.33598 
.33601 
.33604 
.33607 

9.35756 
.35762 
.35767 
.35773 

.33780 
.33783 

.33786 
.33789 

9.36104 
.30110 
.36115 
.36121 

.22964 
.22967 
.33970 
.32973 

56 
55 
54 
53 

+   2' 

9 

10 

11 

9.34725 
.34730 
.34736 
.34742 

.22246 
.33349 
.33353 
.33355 

9.35078 
.35084 
.35090 
.35096 

9.35429 
.35435 
.35441 
.35447 

.33610 
.22613 
.22616 
.22619 

9.35779 
.35785 
.35791 

.35797 

.33792 
.22795 
.22799 
.22803 

9.36127 
.36133 
.36139 
.36144 

.33976 
.33979 
.33982 
.33985 

52 
51 
50 
49 

+   3' 

13 
14 
15 

9.34748 
.34754 
.34760 
.34766 

.33258 
.23361 
.33364 
.22267 

9.35101 
.35107 
.35113 
.35119 

.33440 
.33443 
.33446 
.33449 

9.35453 
.35459 
.35464 
.35470 

.23632 
.22625 
.22628 
.22631 

9.35802 
.35808 
.35814 
.35820 

.33805 
.33808 
.33811 
.33814 

9.36150 
.36156 
.36162 
.36167 

.22988 
.22991 
.23994 
.22997 

48 
47 
46 
45 

+   4' 
17 
18 
19 

9.34772 
.34778 
.34784 
.34789 

.33370 
.33373 
.33376 
.23379 

9.35125 
.35131 
.35137 
.35143 

.22452 
.22455 
.22458 
.23461 

9.35476 
.35482 
.35488 
.35494 

.22634 
.22637 
.33640 
.22643 

9.35826 
.35831 
.35837 
.35843 

.33817 
.32820 
.22823 
.22836 

9.36173 
.36179 
.36185 
.36191 

.23000 
.23003 
.33006 
.23009 

44 
43 
42 
41 
40 
39 
38 
37 

+   5' 

21 
22 
23 

9.34795 
.34801 
.34807 
.34813 

.33383 
.33385 
.32288 
.22291 

9.35148 
.35154 
.35160 
.35166 

.22464 
.22467 
.22470 
.33473 

9.35500 
.35505 
.35511 
.35517 

.22646 
.22649 
.22652 
.22655 

9.35849 
.35855 
.35860 
.35866 

.33829 
.33832 
.22835 

.22838 

9.36196 
.36202 
.36208 
.36214 

.23013 
.33016 
.33019 
.23033 

+   6' 

f7 

9.34819 
.34825 
.34831 
.34837 

.23294 
.22297 
.23300 
.33303 

9.35172 
.35178 
.35184 
.35189 

.23476 
.33479 

.22483 
.22485 

9.35523 
.35529 
.35535 
.35540 

.22658 
.22661 
.23664 
.23667 

9.35872 
.35878 
.35884 
.35889 

.22841 
.22844 

.22847 
.22850 

9.36219 
.36225 
.36231 
.36237 

.23025 
.23028 
.23031 
.23034 

36 

35 
34 
33 

+    r 

29 

SO 
31 

9.34843 

.34848 
.34854 
.34860 

.33306 
.33309 
.33313 
.33315 

9.35195 
.35201 
.35207 
.35213 

.22488 
.22491 
.23494 
.33497 

9.35546 
.35552 
.35558 
.35564 

.33671 
.22674 
.22677 
.22680 

9.35895 
.35901 
.35907 
.35913 

.22853 

.22857 
.22860 

.22863 

9.36243 
.36248 
.36254 
.36260 

.23037 
.23040 
.23043 
.23046 

32 
31 
30 
29 

+   8' 
33 
34 

35 

9.34866 

.34872 
.34878 
.34884 

.32318 
.22321 
.22334 
.23337 

9.35219 

.35225 
.35230 
.35236 

.33500 
.23503 
.33506 
.33509 

9.35570 
.35575 
.35581 

.35587 

.22683 
.22686 
.33689 
.33693 

9.35918 
.35924 
.35930 
.35936 

.22866 
.23869 

.33873 
.33875 

9.36266 
.36271 
.36277 
.36283 

.23049 
.33053 
.23055 
.23058 

28 
27 
26 
25 

24 
23 
22 
21 

+   y 

57 
55 
59 

9.34890 
.34896 
.34901 
.34907 

.22330 
.22333 
.33336 
.22340 

9.35242 
.35248 
.35254 
.35260 

.33513 
.33515 
.33518 
.22522 

9.35593 
.35599 
.35604 
.35610 

.22695 
.22698 
.23701 
.22704 

9.35942 
.35947 
.35953 
.35959 

.22878 
.22881 
.23884 
.22887 

9.36289 
.36294 
.36300 
.36306 

.23061 
.23065 
.23068 
.23071 

+  W 

41 
42 
43 

9.34913 
.34919 
.34925 
.34931 

.33343 
.32346 
.22349 
.22353 

9.35266 
.35271 
.35277 
.35283 

.22535 
.22528 
.22531 
.22534 

9.35616 
.35622 
.35628 
.35634 

.23707 
.33710 
.22713 
.22716 

9.35965 
.35971 
.35976 
.35982 

.23890 
.33893 
.33896 
.33899 

9.36312 
.36318 
.36323 
.36329 

.23074 
.23077 
.23080 
.23083 

20 
19 
18 
17 

+  ir 

45 
46 
47 

9.34937 
.34943 
.34949 
.34954 

.22355 
.22358 
.23361 
.22364 

9.35289 
.35295 
.35301 
.35307 

.33537 
.32540 
.23543 
.33546 

9.35639 
.35645 
.35651 
.35657 

.22719 
.22722 
.22735 

.33738 

9.35988 
.35994 
.36000 
.36005 

.33903 
.33905 
.33908 
.33913 

9.36335 
.36341 
.36346 
.36352 

.23086 
.23089 
.23092 
.33095 

16 
15 
14 
13 

+  ir 

49 
50 
51 

9.34960 
.34966 
.34972 
.34978 

.23367 
.22370 
.22373 
.22376 

9.35312 
.35318 
.35324 
.35330 

.33549 
.33553 
.33555 

.22558 

9.35663 
.35669 
.35674 
.35680 

.22731 
.23735 

.33738 
.22741 

9.36011 
.36017 
.36023 
.36029 

.23915 
.22918 
.22931 
.33934 

9.36358 
.36364 
.36369 
.36375 

.33098 
.33101 
.33104 
.23107 

12 

11 

10 

9 

+    W 

53 
54 
55 

9.34984 
.34990 
.34996 
.35002 

.23379 
.33383 
.22385 
.23388 

9.35336 
.35342 
.35348 
.35353 

.22561 
.23564 
.33567 
.33570 

9.35686 
.35692 
.35698 
.35703 

.22744 

.22747 
.22750 
.22753 

9.36034 
.36040 
.36046 
.36052 

.23927 
.22930 
.22933 
.23936 

9.36381 
.36387 
.36392 
.36398 

.23110 
.23114 
.23117 
.23120 

S 
7 
6 
5 

+    U' 

57 
58 
59 

9.35007 
.35013 
.35019 
.35025 

.23391 
.32394 
.22397 
.23400 

9.35359 
.35365 
.35371 
.35377 

.33573 
.22576 
.22579 
.22582 

9.35709 
.35715 
.35721 
.35727 

.23756 
.33759 
.33763 
.33765 

9.36058 
.36063 
.36069 
.36075 

.33939 
.33943 
.33945 
.32948 

9.36404 
.36410 
.36415 
.36421 

.23123 
.23126 
.23139 
.23132 

4 
3 
2 
1 

+    15' 

9.35031 

.22403 

9.35383 

.22585 

9.35733 

.22768 

9.36081 

.23951 

9.36427 

.23135 

0 

20h  14m          1 

20^  ISm          1 

20h  12m          1 

20^ lim          1 

20h  iffm         1 

Page  90]                   TABLP]  IV. 

Haversixiea. 

s 

3h  50m  57°  SCK 

3h  5im  57°  45' 

3h  52m  58°  0' 

3^  53m  58°  15' 

3^  54^  58°  30' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat  Hav. 

0 

i  'I 

S 

9.36427 
.36433 
.36439 
.36444 

.23135 
.23138 
.23141 
.23144 

9.36772 

.36777 
.36783 
.36789 

.23319 
.23322 
.23325 
.23329 

9.37114 
.37120 
.37126 
.37131 

.23504 
.23507 
.23510 
.23513 

9.37455 
.37461 
.37467 
.37472 

.23689 
.23692 
.23695 
.23699 

9.37794 
.37800 
.37806 
.37811 

.23875 
.23878 
.23881 
.23884 

60 

59 
58 
67 

+   1' 

.5 
0 

1 

9.36450 
.36456 
.36462 
.36467 

.23147 
.23150 
.23153 
.23156 

9.36794 
.36800 
.36806 
.36812 

.23332 
.23335 
.23338 
.23341 

9.37137 
.37143 
.37148 
.37154 

.23516 
.23519 
.23523 
.23526 

9.37478 
.37484 
.37489 
.37495 

.23702 
.23705 
.23708 
.23711 

9.37817 
.37823 
.37828 
.37834 

.23887 
.23891 
.23894 
.23897 

56 
55 
54 
53 

+    r. 

9    ' 
10  " 
11 

9.36473 
.36479 
.36485 
.36490 

.23160 
.23163 
.23166 
.23169 

9.36817 
.36823 
.36829 
.36834 

.23344 
.23347 
.23350 
.23353 

9.37160 
.37166 
.37171 
.37177 

.23529 
.23532 
.23535 
.23538 

9.37501 
.37506 
.37512 
.37518 

.23714 
.23717 
.23720 
.23723 

9.37840 
.37845 
.37851 
.37856 

.23900 
.23903 
.23906 
.23909 

62 
51 
50 
49 

+      3^ 

13 
14 
15 

9.36496 
.36502 
.36508 
.36513 

.23172 
.23175 
.23178 
.23181 

9.36840 
.36846 
.36852 
.36857 

.23356 
.23359 
.23362 
.23365 

9.37183 
.37188 
.37194 
.37200 

.23541 
.23544 
.23547 
.23550 

9.37523 
.37529 

.37535 
.37540 

.23726 
.23729 
.23733 
.23736 

9.37862 
.37868 
.37873 
.37879 

.23912 
.23915 
.23918 
.23922 

48 
47 
46 
45 

44 
43 
42 
41 

+      i' 
17 
18 
19 

9.36519 
.36525 
.36531 
.36536 

.23184 
.23187 
.23190 
.23193 

9.36863 
.36869 
.36875 
.36880 

.23368 
.23372 
.23375 
.23378 

9.37205 
.37211 

.37217 
.37222 

.23553 
.23556 
.23560 
.23563 

9.37546 
.37552 
.37557 
.37563 

.23739 
.23742 
.23745 
.23748 

9.37885 
.37890 
.37896 
.37902 

.23925 
.23928 
.23831 
.23934 

+      5' 

21 
22 

23 

9.36542 
.36548 
.36554 
.36559 

.23196 
.23199 
.23203 
.23206 

9.36886 
.36892 
.36897 
.36903 

.23381 
.23384 
.23387 
.23390 

9.37228 
.37234 
.37239 

.37245 

.23566 
.23569 
.23572 
.23575 

9.37569 
.37574 
.37580 
.37585 

.23751 
.23754 
.23757 
.23760 

9.37907 
.37913 
.37918 
.37924 

.23937 
.23940 
.23943 
.23946 

40 
39 
38 

37 

+      6^ 

25 
26 

27 

9.36565 
.36571 
.36577 
.36582 

.23209 
.23212 
.23215 
.23218 

9.36909 
.36915 
.36920 
.36926 

.23393 
.23396 
.23399 
.23402 

9.37251 

.37257 
.37262 
.37268 

.23578 
.23581 
.23584 
.23587 

9.37591 
.37597 
.37602 
.37608 

.23764 
.23767 
.23770 
.23773 

9.37930 
.37935 
.37941 
.37947 

.23950 
.23953 
.23956 
.23959 

36 
35 
34 
S3 

+    r 

29 
30 
31 

9.36588 
.36594 
.36599 
.36605 

.23221 
.23224 
.23227 
.23230 

9.36932 
.36937 
.36943 
.36949 

.23405 
.23409 
.23412 
.23415 

9.37274 
.37279 
.37285 
.37291 

.23590 
.23594 
.23597 
.23600 

9.37614 
.37619 
.37625 
.37631 

.23776 
.23779 
.23782 
.23785 

9.37952 
.37958 
.37963 
.37969 

.23962 
.23965 
.23968 
.23971 

32 
31 
30 
29 

+   8' 
33 
34 
35 

9.36611 
.36617 
.36622 
.36628 

.23233 
.23236 
.23239 
.23242 

9.36955 
.36960 
.36966 
.36972 

.23418 
.23421 
.23424 
.23427 

9.37296 
.37302 
.37308 
.37313 

.23603 
.23606 
.23609 
.23612 

9.37636 
.37642 
.37648 
.37653 

.23788 
.23791 
.23795 
.23798 

9.37975 
.37980 
.37986 
.37992 

.23974 
.23977 
.23981 
.23984 

28 
27 
26 
25 

+   9' 

37 
38 
39 

9.36634 
.36640 
.36645 
.36651 

.23246 
.23249 
.23252 
.23255 

9.36977 
.36983 
.36989 
.36995 

.23430 
.23433 
.23436 
.23439 

9.37319 
.37325 
.37330 
.37336 

.23615 
.23618 
.23621 
.23624 

9.37659 
.37665 
.37670 
.37676 

.23801 
.23804 
.23807 
.23810 

9.37997 
.38003 
.38008 
.38014 

.23987 
.23990 
.23993 
.23996 

24 
23 

22 
21 

+  10' 

41 
42 
43 

9.36657 
.36663 
.36668 
.36674 

.23258 
.23261 
.23264 
.23267 

9.37000 
.37006 
.37012 
.37017 

.23442 
.23445 
.23449 
.23452 

9.37342 
.37347 
.37353 
.37359 

.23627 
.23631 
.23634 
.23637 

9.37682 
.37687 
.37693 
.37699 

.23813 
.23816 
.23819 
.23822 

9.38020 
.38025 
.38031 
.38037 

.23999 
.24002 
.24005 
.24009 

20 
19 
18 
17 

+  ir 

45 
46 
47 

9.36680 
.36686 
.36691 
.36697 

.23270 
.23273 
.23276 
.23279 

9.37023 
.37029 
.37034 
.37040 

.23455 
.23458 
.23461 
.23464 

9.37364 
.37370 
.37376 
.37382 

.23640 
.23643 
.23646 
.23649 

9.37704 
.37710 
.37715 
.37721 

.23825 
.23829 
.23832 
.23835 

9.38042 
.38048 
.38053 
.38059 

.24012 
.24015 
.24018 
.24021 

16 
15 
14 
13 

+  ir 

49 
50 
51 

9.36703 
.36708 
.36714 
.36720 

.23282 
.23285 
.23289 
.23292 

9.37046 
.37052 
.37057 
.37063 

.23467 
.23470 
.23473 
.23476 

9.37.387 
.37393 
.37399 
.37404 

.23652 
.23655 
.23658 
.23661 

9.37727 
.37732 
.37738 
.37744 

.23838 
.23841 
.23844 
.23847 

9.38065 
.38070 
.38076 
.38081 

.24024 
.24027 
.24030 
.24033 

12 

11 

10 

9 

4-  13' 

53 
54 
55 

9.36726 
.36731 
.36737 
.36743 

.23295 
.23298 
.23301 
.23304 

9.37069 
.37074 
.37080 
.37086 

.23479 
.23482 
.23486 
.23489 

9.37410 
.37416 
.37421 
.37427 

.23665 
.23668 
.23671 
.23674 

9.37749 
.37755 
.37761 
.37766 

.23850 
.23853 
.23856 
.23860 

9.38087 
.38093 
.38098 
.38104 

.24036 
.24040 
.24043 
.24046 
.24049 
.24052 
.24055 
.24058 

8 
7 
6 
5 

4 
3 

2 
1 

+    14' 

57 
58 
59 

9.36749 
.36754 
.36760 
.36766 

.23307 
.23310 
.23313 
.23316 

9.37091 
.37097 
.37103 
.37109 

.23492 
.23495 
.23498 
.23501 

9.37433 
.37438 
.37444 
.37450 

.23677 
.23680 
.23683 
.23686 

9.37772 
.37778 
.37783 
.37789 

.23863 
.23866 
.23869 

.23872 

9.38110 
.38115 
.38121 
.38126 

+    IS' 

9.36772 

.23319 

9.37114 

.23504 

9.37455 

.23689 

9.37794 

.23875 

9.38132 

.24061 

0 

fOApm 

20hSm 

20^  7m, 

20^  fim 

20h5m 

TABLE  IV.                  [Page  91 

Havereinea. 

s 

5ft  55m  68°  45' 

3^  56"*  59°  0' 

Sh  57m  59°  15' 

Sh  58m  59°  ZQ'    | 

3h  59m  59°  45' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Ilav. 

Log.  Hav.  Nat.  Hav. 

0 

1 
2 
S 

9.38132 
.38138 
.38143 
.38149 

.34061 
.24064 
.24068 
.24071 

9.38468 
.38473 
.38479 
.38485 

.34348 
.34351 
.34354 
.34357 

9.38802 
.38807 
.38813 
.38819 

.34435 
.24438 
.24443 
.34445 

9.39134 
.39140 
.39145 
.39151 

.34633 
.34636 
.34639 
.34633 

9.39465 
.39470 
.39476 
.39481 

.348U 
.34814 

.34818 
.34831 

60 
59 
58 
57 

+    r 

5 
6 

7 

9.38154 
.38160 
.38166 
.38171 

.24074 
.34077 
.24080 
.24083 

9.38490 
.38496 
.38501 
.38507 

.24261 
.34264 
.34267 
.34370 

9.38824 
.38830 
.38835 
.38841 

.34448 
.34451 
.34454 
.34457 

9.39156 
.39162 
.39167 
.39173 

.34636 
.34639 
.34843 
.34645 

9.39487 
.39492 
.39498 
.39503 

.34834 
.34837 
.34830 
.34833 

56 
55 
54 
53 

+      V 

9 

10 

11 

9.38177 
.38182 
.38188 
.38194 

.24086 
.24089 
.34092 
.24096 

9.38512 
.38518 
.38524 
.38529 

.24273 
.24376 
.34379 

.34383 

9.38846 
.38852 
.38857 
.38863 

.34460 
.34463 
.34467 
.34470 

9.39178 
.39184 
.39189 
.39195 

.34648 
.34651 
.34654 

.34658 

9.39509 
.39514 
.39520 
.39525 

.34836 
.34840 
.34843 
.34846 

52 
51 
50 
49 
48 
47 
46 
45 

+     3' 

13 
14 
15 

9.38199 
.38205 
.38210 
.38216 

.34099 
.34102 
.34105 
.34108 

9.38535 
.38540 
.38546 
.38551 

.24386 
.34389 
.34393 
.34395 

9.38868 
.38874 
.38880 

.38885 

.34473 
.34476 
.24479 

.24482 

9.39201 
.39206 
.39212 
.39217 

.34661 
.34664 
.34667 
.34670 

9.39531 
.39536 
.39542 
.39547 

.34849 

.34853 
.34855 
.34858 

+   4' 

17 
18 
19 

9.38222 
.38227 
.38233 
.38239 

.34111 
.34114 
.24117 
.24130 

9.38557 
.38563 
.38568 
.38574 

.34398 
.34301 
.34304 
.34307 

9.38891 
.38896 
.38902 
.38907 

.24485 
.24488 
.34492 
.34495 

9.39223 
.39228 
.39234 
.39239 

.34673 
.34676 
.34680 
.34683 

9.39553 
.39558 
.39564 
.39569 

.34863 
.34865 
.34868 
.34871 

44 
43 
42 
41 

+      6' 

21 
22 
23 

9.38244 
.38250 
.38255 
.38261 

.34134 
.24137 
.34130 
.34133 

9.38579 
.38585 
.38590 
.38596 

.34310 
.34314 
.34317 
.34330 

9.38913 
.38918 
.38924 
.38929 

.34498 
.34501 
.34504 
.34507 

9.39245 
.39250 
.39256 
.39261 

.34686 
.34689 
.34693 
.34695 

9.39575 
.39580 
.39586 
.39591 

.34874 
.34877 
.34880 
.34884 

40 
39 
38 
37 

+   6' 

25 
26 

27 

9.38267 
.38272 
.38278 
.38283 

.34136 
.34139 
.34143 
.34145 

9.38602 
.38607 
.38613 
.38618 

.34333 
.34336 
.34339 
.34333 

9.38935 
.38941 
.38946 
.38952 

.34510 
.34514 
.34517 
.34530 

9.39267 
.39272 
.39278 
.39283 

.34698 
.34701 
.34705 
.34708 

9.39597 
.39602 
.39608 
.39613 

.34887 
.34890 
.34893 
.34896 

36 
35 
34 
33 

^9 
30 
31 

9.38289 
.38295 
.38300 
.38306 

.34148 
.34153 
.34155 
.34158 

9.38624 
.38629 
.38635 
.38641 

.34335 
.34339 
.34343 
.34345 

9.38957 
.38963 
.38968 
.38974 

.34533 
.34536 
.34539 
.34533 

9.39289 
.39294 
.39300 
.39305 

.34711 
.34714 
.34717 
.24730 

9.39619 
.39624 
.39630 
.39635 

.34899 
.34903 
.34906 
.34909 

32 
31 
SO 
29 
28 
27 
26 
25 

+   8' 
33 
34 
35 

9.38311 
.38317 
.38322 
.38328 

.34161 
.34164 
.24167 
.24170 

9.38646 
.38652 
.38657 
.38663 

.24348 
.24351 
.34354 
.34357 

9.38979 
.38985 
.38990 
.38996 

.34535 
.34539 
.34543 
.34545 

9.39311 
.39316 
.39322 
.39327 

.34733 
.34737 
.34730 
.34733 

9.39641 
.39646 
.39652 
.39657 

.34913 
.34915 
.34918 
.34931 

+     9^ 

37 
38 
39 

9.38334 
.38339 
.38345 
.38350 

.24173 
.24176 
.24180 
.24183 

9.38668 
.38674 
.38680 
.38685 

.34360 
.34364 
.34367 
.34370 

9.39002 
.39007 
.39013 
.39018 

.34548 
.34551 
.34554 
.34557 

9.39333 
.39338 
.39344 
.39349 

.34736 
.34739 
.34743 
.34745 

9.396G3 
.39668 
.39674 
.39679 

.34934 
.34938 
.34931 
.34934 

24 
23 

22 
21 

+  10' 

41 
42 
43 

9.38356 
.38362 
.38367 
.38373 

.34186 
.24189 
.24193 
.34195 

9.38691 
.38696 
.38702 
.38707 

.34373 
.34376 
.34379 
.34383 

9.39024 
.39029 
.39035 
.39040 

.34560 
.34564 
.34567 
.34570 

9.39355 
.39360 
.39366 
.39371 

.34749 
.34753 
.34755 

.34758 

9.39685 
.39690 
.39695 
.39701 

.34937 
.34940 
.34943 
.34946 
.34950 
.34953 
.34956 
.34959 

20 
19 
18 
17 
16 
15 
14 
13 

+  11' 

45 
46 
47 

9.38378 
.38384 
.38390 
.38395 

.34198 
.34301 
.34304 
.34308 

9.38713 
.38719 
.38724 
.38730 

.34385 

.34388 
.34393 
.34395 

9.39046 
.39051 
.39057 
.39062 

.34573 
.34576 
.34579 
.34583 

9.39377 
.39382 
.39388 
.39393 

.34761 
.34764 
.34767 
.34770 

9.39706 
.39712 
.39717 
.39723 

+    12' 

49 
50 
51 

9.38401 
.38406 
.38412 
.38418 

.34211 
.24214 
.34217 
.34330 

9.38735 
.38741 
.38746 
.38752 

.34398 
.34401 
.34404 
.34407 

9.39068 
.39073 
.39079 
.39085 

.34586 
.34589 
.34593 
.34595 

9.39399 
.39404 
.39410 
.39415 

.34774 

.34777 
.34780 
.34783 

9.39728 
.39734 
.39739 
.39745 

.34963 
.34965 
.34969 
.34973 

12 

11 

10 

9 

+    13^ 

53 
54 
55 

9.38423 
.38429 
.38434 
.38440 

.34333 
.34336 
.34339 
.34333 

9.38757 
.38763 
.38769 
.38774 

.34410 
.34413 
.34417 
.34430 

9.39090 
.39096 
.39101 
.39107 

.24598 
.24601 
.34604 
.34607 

9.39421 
.39426 
.39432 
.39437 

.34786 
.34789 
.34793 
.34796 

9.39750 
.39756 
.39761 
.39767 

.34975 
.34978 
.34981 
.34984 

8 
7 
6 
5 

+    W 

57 
58 
59 

9.38445 
.38451 
.38457 
.38462 

.34336 
.34339 
.34343 
.34245 

9.38780 
.38785 
.38791 
.38796 

9.38802' 

.34433 
.34436 
.34439 
.34433 
.34435 

9.39112 
.39118 
.39123 
.39129 

.34611 
.34614 
.34617 
.34630 

9.39443 
.39448 
.39454 
.39459 

9.39465 

.34799 
.34803 
.34805 

.34808 

9.39772 
.39778 
.39783 
.39789 

.34987 
.34991 
.34994 
.24997 

4 
3 

2 
1 
0 

+  15' 

9.38468 

.34348 

9.39134 

.34623 

.34811 

9.39794 

.35000 

20^4^ 

20hsm 

fOA^m 

20h  J»n 

20f^0'^ 

Page  92]                  TABLE  IV. 

Haversines. 

s 

4h  om  60°  0' 

4h  m  60°  15' 

4h  2m  60°  30' 

4h  3m  60°  45' 

4h  4-^  61°  0' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 

1 
2 
S 

9.3979^ 
.39799 
.39805 
.39810 

.25000 
.25003 
.25006 
.25009 

9.40121 
.40127 
.40132 
.40138 

.25189 
.25192 
.25195 
.25199 

9.40447 
.40453 
.40458 
.40463 

.25379 
.25382 
.25385 

.25388 

9.40771 

.40777 
.40782 
.40787 

.25569 
.25572 
.25575 
.25578 

9.41094 
.41099 
.41105 
.41110 

.25760 
.25763 
.25766 
.25769 

60 
59 
58 

57 

+    r 

5 
6 
7 

9.39816 
.39821 
.39827 
.39832 

.25013 
.25016 
.25019 
.25022 

9.40143 
.40149 
.40154 
.40159 

.25202 
.25205 
.25208 
.25211 

9.40469 

.40474 
.40480 
.40485 

.25391 
.25395 
.25398 
.25401 

9.40793 
.40798 
.40804 
.40809 

.25582 
.25585 

.25588 
.25591 

9.41115 
.41121 
.41126 
.41131 

.25772 
.25775 
.25779 

.25782 

56 
55 
54 
53 

+  3' 

9 

10 

11 

9.39838 
.39843 
.39849 
.39854 

.25025 
.25028 
.25032 
.25035 

9.40165 
.40170 
.40176 
.40181 

.25214 
.25218 
.25221 
.25224 

9.40490 
.40496 
.40501 
.40507 

.25404 
.25407 
.25410 
.25414 

9.40814 
.40820 
.40825 
.40831 

.25594 
.25597 
.25601 
.25604 

9.41137 
.41142 
.41147 
.41153 

.25785 

.25788 
.25791 
.25795 

52 
51 
50 
49 

+      3^ 

IS 
14 
15 

9.39860 
.39865 
.39871 
.39876 

.25038 
.25041 
.25044 
.25047 

9.40187 
.40192 
.40198 
.40203 

.25227 
.25230 
.25233 
.25237 

9.40512 
.40518 
.40523 
.40528 

.25417 
.25420 
.25423 
.25426 

9.40836 
.40841 
.40847 
.40852 

.25607 
.25610 
.25613 
.25617 

9.41158 
.41163 
.41169 
.41174 

.25798 
.25801 
.25804 
.25807 

48 
47 
46 
45 

+   4' 
17 
18 
19 

9.39881 
.39887 
.39892 
.39898 

.25050 
.25054 
.25057 
.25060 

9.40208 
.40214 
.40219 
.40225 

.25240 
.25243 
.25246 
.25249 

9.40534 
.40539 
.40545 
.40550 

.25429 
.25433 
.25436 
.25439 

9.40858 
.40863 
.40868 
.40874 

.25620 
.25623 
.25626 
.25629 

9.41180 
.41185 
.41190 
.41196 

.25810 
.25814 
.25817 
.25820 

44 
43 
42 
41 

+   5' 
21 
22 
23 

9.39903 
.39909 
.39914 
.39920 

.25063 
.25066 
.25069 
.25072 

9.40230 
.40236 
.40241 
.40246 

.25252 
.25255 
.25259 
.25262 

9.40555 
.40561 
.40566 
.40572 

.25442 
.25445 
.25448 
.25452 

9.40879 
.40884 
.40890 
.40895 

.25632 
.25636 
.25639 
.25642 

9.41201 
.41206 
.41212 
.41217 

.25823 
.25826 
.25830 
.25833 

40 
39 
38 
37 
36 
35 
34 
33 

+   6^ 

25 
26 
27 

9.39925 
.39931 
.39936 
.39942 

.25076 
.25079 
.25082 
.25085 

9.40252 
.40257 
.40263 
.40268 

.25265 
.25268 
.25271 
.25274 

9.40577 
.40582 
.40588 
.40593 

.25455 
.25458 
.25461 
.25464 

9.40900 
.40906 
.40911 
40917 

.25645 
.25648 
.25651 
.25655 

9.41222 
.41228 
.41233 
.41238 

.25836 
.25839 
.25842 
.25845 

+    r 

29 
30 
31 

9.39947 
.39952 
.39958 
.39963 

.25088 
.25091 
.25095 
.25098 

9.40274 
.40279 
.40284 
.40290 

.25278 
.25281 
.25284 

.25287 

9.40599 
.40604 
.40609 
.40615 

.25467 
.25471 
.25474 
.25477 

9.40922 
.40927 
.40933 
.40938 

.25658 
.25661 
.25664 
.25667 

9.41244 
.41249 
.41254 
.41260 

.25849 
.25852 
.25855 

.25858 

32 
'31 
30 

29 
28 
27 
26 
25 

24 
23 
22 
21 

+     S' 
33 
34 
35 

9.39969 
.39974 
.39980 
.39985 

.25101 
.25104 
.25107 
.25110 

9.40295 
.40301 
.40306 
.40312 

.25290 
.25293 
.25297 
.25300 

9.40620 
.40626 
.40631 
.40636 

.25480 
.25483 
.25487 
.25490 

9.40943 
.40949 
.40954 
.40960 

.25671 
.25674 
.25677 
.25680 

9.41265 
.41270 
.41276 
.41281 

.25861 
.25865 

.25868 
.25871 

+      9' 

37 
38 
39 

9.39991 
.39996 
.40002 
.40007 

.25113 
.25117 
.25120 
.25123 

9.40317 
.40322 
.40328 
.40333 

.25303 
.25306 
.25309 
.25312 

9.40642 
.40647 
.40653 
.40658 

.25493 
.25496 
.25499 
.25502 

9.40965 
.40970 
.40976 
.40981 

.25683 
.25686 
.25690 
.25693 

9.41287 
.41292 
.41297 
.41303 

.25874 

.25877 
.25880 

.25884 

+    W 

41 
42 
43 

9.40012 
.40018 
.40023 
.40029 

.25126 
.25129 
.25132 
.25136 

9.40339 
.40344 
.40350 
.40355 

.25316 
.25319 
.25322 
.25325 

9.40663 
.40669 
.40674 
.40680 

.25506 
.25509 
.25512 
.25515 

9.40986 
.40992 
.40997 
.41003 

.25696 
.25699 
.25702 
.25705 

9.41308 
.41313 
.41319 
.41324 

.25887 
.25890 
.25893 
.25896 

20 
19 
18 
17 

+   11' 

45 
46 

47 

9.40034 
.40040 
.40045 
.40051 

.25139 
.25142 
.25145 
.25148 

9.40360 
.40366 
.40371 
.40377 

.25328 
.25331 
.25335 
.25338 

9.40685 
.40690 
.40696 
.40701 

.25518 
.25521 
.25525 
.25528 

9.41008 
.41013 
.41019 
.41024 

.25709 
.25712 
.25715 
.25718 

9.41329 
.41335 
.41340 
.41345 

.25900 
.25903 
.25906 
.25909 

16 
15 
14 
13 

+  n' 

49 
50 
51 

9.40056 
.40062 
.40067 
.40072 

.25151 
.25154 
.25158 
.25161 

9.40382 
.40388 
.40393 
.40398 

.25341 
.25344 
.25347 
.25350 

9.40707 
.40712 
.40717 
.40723 

.25531 
.25534 
.25537 
.25540 

9.41029 
.41035 
.41040 
.41046 

.25721 
.25724 
.25728 
.25731 

9.41351 
.41356 
.41361 
.41367 

.25912 
.25915 
.25919 
.25922 

12 

11 

10 

9 

+  13^ 

53 
54 
55 

9.40078 
.40083 
.40089 
.40094 

.25164 
.25167 
.25170 
.25173 

9.40404 
.40409 
.40415 
.40420 

.25354 
.25357 
.25360 
.25363 

9.40728 
.40734 
.40739 
.40744 

.25544 
.25547 
.25550 
.25553 

9.41051 
.41056 
.41062 
.41067 

.25734 
.25737 
.25740 
.25744 

9.41372 
.41377 
.41383 
.41388 

.25925 
.25928 
.25931 
.25935 

8 
7 
6 
5 

+  W 

57 
58 
59 

9.40100 
.40105 
.40111 
.40116 

.25177 
.25180 
.25183 
.25186 

9.40425 
.40431 
.40436 
.40442 

.25366 
.25369 
.25372 
.25376 

9.40750 
.40755 
.40761 
.40766 

.25556 
.25559 
.25563 
.25566 

9.41072 
.41078 
.41083 
.41088 

.25747 
.25750 
.25753 
.25756 

9.41393 
.41399 
.41404 
.41409 

.25938 
.25941 
.25944 
.25947 

4 
3 

2 
1 

+  W 

9.40121 

.25189 

9.40447 

.25379 

9.40771 

.25569 

9.41094 

.25760 

9.41415 

.25951 

0 

19h  59m 

19^  58m 

19h  S7m 

19k  56m 

19^  55m 

TABLE  IV.                  [Page  93 
Haversineg. 

s 

4ft  5m  61°  15'  1 

4ft  6"»  61°  3^  1 

4h  7m  61°  45' 

4h  8^  63°  0'     4f>'  9m  63°  15'  | 

3 

Log.  Ilav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
3 

9.41415 
.41420 
.41425 
.41431 

.25951 
.25954 
.25957 
.25960 

9.41734 
.41739 
.41745 
.41750 

.26142 
.26145 
.26148 
.26152 

9.42052 
.42057 
.42062 
.42068 

.26334 
.36337 
.26340 
.26344 

9.42368 
.42373 
.42378 
.42384 

.26526 
.26530 
.26533 
.26536 

9.42682 
.42688 
.42693 
.42698 

.26719 
.26722 
.26726 
.36739 

60 

59 

58 

57 

56    ' 

55 

54 

53 

+    r 

5 
6 

7 

9.41436 
.41441 
.41447 
.41452 

.25963 
.25966 
.25970 
.25973 

9.41755 
.41761 
.41766 
.41771 

.26155 
.26158 
.26161 
.26164 

9.42073 
.42078 
.42083 
.42089 

.26347 
.26350 
.26353 
.26356 

9.42389 
.42394 
.42399 
.42405 

.26539 
.26543 
.26546 
.26549 

9.42703 
.42709 
.42714 
.42719 

.36732 
.26735 
.26739 
.26742 

+     2^ 

9 

10 

11 

9.41457 
.41463 
.41468 
.41473 

.25976 
.25979 
.25982 
.25986 

9.41776 

.41782 
.41787 
.41792 

.26168 
.26171 
.26174 
.26177 

9.42094 
.42099 
.42105 
.42110 

.26360 
.26363 
.26366 
.26369 

9.42410 

.42415 
.42420 
.42426 

.36552 
.26555 
.26559 
.26562 

9.42724 
.42730 
.42735 
.42740 

.26745 
.26748 
.26751 
.26755 

52 
51 
50 
49 

+     3' 

13 
14 
15 

9.41479 
.41484 
.41489 
.41495 

.25989 
.25992 
.25995 
.25998 

9.41798 
.41803 
.41808 
.41814 

.26180 
.26184 
.26187 
.26190 

9.42115 
.42120 
.42126 
.42131 

.26372 

.26376 

'  .26379 

.26382 

9.42431 
.42436 

.42441 
.42447 

.26565 
,26568 
.26571 
.26575 

9.42745 
.42750 
.42756 
.42761 

.36758 
.36761 
.36764 

.26768 

48 
47 
46 
45 

+     4' 
17 
18 
19 

9.41500 
.41505 
.41511 
.41516 

.26002 
.26005 
.26008 
.26011 

9.41819 
.41824 
.41829 
.41835 

.26193 
.26196 
.26300 
.26203 

9.42136 
.42141 
.42147 
.42152 

.26385 
.26389 
.26393 
.36395 

9.42452 
.42457 
.42462 
.42468 

.26578 
.26581 
.26584 
.26587 

9.42766 
.42771 

.42777 
.42782 

.26771 
.26774 
.26777 
.26780 

44 
4-3 
42 
41 

+      5' 

21 

22 
23 

9.41521 
.41527 
.41532 
.41537 

.26014 
.26017 
.26021 
.26024 

9.41840 
.41845 
.41851 
.41856 

.26206 
.26209 
.26212 
.26216 

9.42157 
.42163 
.42168 
.42173 

.26398 
.26402 
.26405 
.26408 

9.42473 
.42478 
.42483 
.42489 

.36591 
.36594 
.36597 
.26600 

9.42787 
.42792 
.42797 
.42803 

.26784 
.26787 
.26790 
.26793 

40 
39 
38 
37 

+  6' 

25 
26 

27 

9.41543 
.41548 
.41553 
.41559 

.26027 
.26030 
.26033 
.26037 

9.41861 
.41867 
.41872 
.41877 

.26219 
.26222 
.26225 
.26228 

9.42178 
.42184 
.42189 
.42194 

.26411 
.26414 
.26417 
.26421 

9.42494 
.42499 
.42504 
.42510 

.26604 
.26607 
.26610 
.26613 

9.42808 
.42813 
.42818 
.42824 

.26797 
.26800 
.26803 
.26806 

36 
35 
34 

33 

29 
SO 
31 

9.41564 
.41569 
.41575 
.41580 

.26040 
.26043 
.26046 
.26049 

9.41882 
.41888 
.41893 
.41898 

.26232 
.26235 
.26238 
.26241 

9.42199 
.42205 
.42210 
.42215 

.26434 
.36437 
.36430 
.26433 

9.42515 
.42520 
.42525 
.42531 

.26616 
.26620 
.26623 
.26626 

9.42829 
.42834 
.42839 
.42844 

.26809 
.26813 
.26816 
.26819 

32 
31 
SO 
29 

+   8' 
33 
34 
35 

9.41585 
.41590 
.41596 
.41601 

.26053 
.26056 
.26059 
.26062 

9.41904 
.41909 
.41914 
.41920 

.26244 
.26248 
.26251 
.26254 

9.42221 
.42226 
.42231 
.42236 

.26437 
.26440 
.26443 
.26446 

9.42536 
.42541 
.42546 
.42552 

.26629 
.26632 
.26636 
.26639 

9.42850 
.42855 
.42860 
.42865 

.26823 
.26836 
.26839 
.36832 

28 
27 
26 

25 

+  9^ 

37 
38 
39 

9.41606 
.41612 
.41617 
.41622 

.26065 
.26069 
.26072 
.26075 

9.41925 
.41930 
.41935 
.41941 

.26257 
.26260 
.26264 
.26267 

9.42242 
.42247 
.42252 
.42257 

.36449 
26453 
.26456 
.26459 

9.42557 
.42562 
.42567 
.42573 

.26643 
.36645 
.36649 
.26652 

9.42870 
.42876 
.42881 
.42886 

.26835 
.26838 
.26842 
.36845 

24 
23 
22 
21 

+  10' 

41 

42 
43 

9.41628 
.41633 
41638 
.41644 

.26078 
.26081 
.26085 
.26088 

9.41946 
.41951 
.41957 
.41962 

.26270 
.26273 
.26276 
.26280 

9.42263 
.42268 
.42273 
.42278 

.26462 
.26465 
.26469 
.26472 

9.42578 
.42583 
.42588 
.42593 

.26655 
.26658 
.26661 
.26665 

9.42891 
.42897 
.42902 
.42907 

.36848 
.36851 
.36855 

.36858 

20 
19 
18 
17 

+  11' 

45 
46 

47 

9.41649 
.41654 
.41660 
.41665 

.26091 
.26094 
.26097 
.26101 

9.41967 
.41972 
.41978 
.41983 

.26283 
.26286 
.26289 
.26292 

9.42284 
.42289 
.42294 
.42300 

.26475 
.26478 
.26481 
.26485 

9.42599 
.42604 
.42609 
.42614 

.26668 
.26671 
.26674 
.26677 

9.42912 
.42917 
.42923 
.42928 

.26861 
.26864 
.26867 
.26871 

16 
15 
14 
13 

+    12' 

49 
50 
51 

9.41670 
.41676 
.41681 
.41686 

.26104 
.26107 
.26110 
.26113 

9.41988 
.41994 
.41999 
.42004 

.26296 
.26299 
.26303 
.26305 

9.42305 
.42310 
.42315 
.42321 

.26488 
.26491 
.26494 
.26498 

9.42620 
.42625 
.42630 
.42635 

.26681 
.26684 
.26687 
.26690 

9.42933 
.42938 
.42943 
.42949 

.26874 
.26877 
.26880 
.26883 

12 
11 
10 
9 
8 
7 
6 
5 

+   13' 

53 
54 
55 

9.41692 
.41697 
.41702 
.41707 

.26117 
.26120 
.26123 
.26126 

9.42009 
.42015 
.42020 
.42025 

.26308 
.26312 
.26315 
.26318 

9.42326 
.42331 
.42336 
.42342 

.26501 
.26504 
.26507 
.26510 

9.42641 
.42646 
.42651 
.42656 

.26694 
.26697 
.26700 
.26703 

9.42954 
.42959 
.42964 
.42969 

.26887 
.26890 
.26893 
.36896 

+    14' 

57 
58 
59 

9.41713 
.41718 
.41723 
.41729 

.26129 
.26132 
.26136 
.26139 

9.42031 
.42036 
.42041 
.42046 

.26321 
.26324 
.26328 
.26331 

9.42347 
.42352 
.42357 
.42363 

.26514 
.26517 
.26520 
.26523 

9.42662 
.42667 
.42672 
.42677 

.26706 
.26710 
.36713 
.26716 

9.42975 
.42980 
.42985 
.42990 

.36900 
.36903 
.26906 
.26909 

4 
3 

2 

1 

+  15' 

9.41734 

.26142 

9.42052 

.26334 

9.42368 

.26526 

9.42682 

.26719 

9.42996 

.26913 

0 

19h  54^ 

19^  5Sm 

19^  52'm 

19h  5im 

19^50^ 

Page  94] 

TABLE  IV. 

Haversines. 

s 

4ft  lOm  63°  30' 

4h  nm  62°  45' 

4h  12'"> 

63°  0' 

4^  ISm  63°  15' 

4h  14m 

63°  3r 

a 

Log.  Hav. 

Nat.  Hav. 

Log.  nav. 

Nat.  Hav. 

Log.  Hav 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 

3 

9.42996 
.43001 
.43006 
.43011 

.26913 
.26916 
.26919 
.26922 

9.43307 
.43312 
.43317 
.43323 

.27106 
.27110 
.27113 
.27116 

9.43617 
.43622 
.43627 
.43632 

.27300 
.27304 
.27307 
.37310 

9.43926 
.43931 
.43936 
.43941 

.27495 
.27498 
.27502 
.27505 

9.44232 
.44238 
.44243 
.44248 

.37690 
.27693 
.27697 
.27700 

60 
59 
58 
57 
56 
55 
54 
53 

+      r 

5 
6 

7 

9.43016 
.43022 
.43027 
.43032 

.26925 
.26929 
.26932 
.26935 

9.43328 
.43333 
.43338 
.43343 

.27119 
.27122 
.27126 
.27129 

9.43638 
.43643 
.43648 
.43653 

.37313 
.27317 
.27320 
.37333 

9.43946 
.43951 
.43956 
.43961 

.27508 
.27511 
.27515 
.27518 

9.44253 
.44258 
.44263 
.44268 

.27703 
.27706 
.27710 
.37713 

+   3' 

9 

10 

11 

9.43037 
.43042 
.43048 
.43053 

.26938 
.26942 
.26945 
.26948 

9.43348 
.43354 
.43359 
.43364 

.27132 
.27135 
.27139 
.27142 

9.43658 
.43663 
.43669 
.43674 

.37336 
.27330 
.27333 
.27336 

9.43967 
.43972 
.43977 
.43982 

.27521 
.27524 
.27528 
.27531 

9.44273 
.44278 
.44283 
.44289 

.37716 
.37719 
.37733 
.37736 

52 
51 
50 
49 

+   3^ 

IS 
14 
15 

9.43058 
.43063 
.43068 
.43074 

.26951 
.26955 
.26958 
.26961 

9.43369 
.43374 
.43380 
.43385 

.27145 
.27148 
.27152 
.27155 

9.43679 
.43684 
.43689 
.43694 

.27339 
.27343 
.27346 
.27349 

9.43987 
.43992 
.43997 
.44002 

.27534 
.27537 
.27541 
.27544 

9.44294 
.44299 
.44304 
.44309 

.37739 
.27733 
.27736 
.27739 

48 

47 
46 

45 

+   *' 
17 
18 
19 

9.43079 
.43084 
.43089 
.43094 

.26964 
.26967 
.26971 
.26974 

9.43390 
.43395 
.43400 
.43405 

.27158 
.27161 
.27165 
.27168 

9.43699 
.43705 
.43710 
.43715 

.27352 
.27356 
.27359 
.27362 

9.44008 
.44013 
.44018 
.44023 

.37547 
.37550 
.37554 
.37557 

9.44314 
.44319 
.44324 
.44329 

.27742 
.27745 
.37749 
.37753 

44 
43 
42 
41 

+  5' 

21 

22 
23 

9.43100 
.43105 
.43110 
.43115 

.26977 
.26980 
.26984 
.26987 

9.43411 
.43416 
.43421 
.43426 

.37171 
.37174 
.37177 
.27181 

9.43720 
.43725 
.43730 
.43735 

.27365 
.27369 
.27372 
.27375 

9.44028 
.44033 
.44038 
.44043 

.37560 
.37563 
.37567 
.37570 

9.44334 
.44340 
.44345 
.44350 

.27755 

.37758 
.37763 
.27765 

40 
39 
38 

37 

+   6' 

25 
26 
27 

9.43120 
.43126 
.43131 
.43136 

.26990 
.26993 
.26996 
.27000 

9.43431 
.43436 
.43442 
.43447 

.37184 
.37187 
.37190 
.27194 

9.43741 
.43746 
.43751 
.43756 

.27378 
.27383 
.37385 

.37388 

9.44048 
.44054 
.44059 
.44064 

.37573 
.37576 
.37580 
.27583 

9.44355 
.44360 
.44365 
.44370 

.27768 
.27772 
.27775 

.27778 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.43141 
.43146 
.43151 
43157 

.27003 
.27006 
.37009 
.27013 

9.43452 
.43457 
.43462 
.43467 

.27197 
.37300 
.37303 
.37307 

9.43761 
.43766 
.43771 
.43777 

.37391 
.37394 
.37398 
.37401 

9.44069 
.44074 
.44079 
.44084 

.37586 
.37589 
.37593 
.37596 

9.44375 
.44380 
.44385 
.44390 

.37781 

.37785 
.37788 
.27791 

32 
31 
SO 
29 

+   8' 
33 
34 
35 

9.43162 
.43167 
.43172 
.43177 

.27016 
.27019 
.27022 
.27025 

9.43473 
.43478 
.43483 
.43488 

.37210 
.37313 
.37316 
.27330 

9.43782 
.43787 
.43792 
.43797 

.27404 
.27407 
.27411 
.27414 

9.44089 
.44095 
.44100 
.44105 

.37599 
.37603 
.37606 
.27609 

9.44396 
.44401 
.44406 
.44411 

.37794 
.37798 
.27801 
.37804 

28 
27 
26 
25 

+   9^ 

37 
38 

39 

9.43183 
.43188 
.43193 
.43198 

.37029 
.27032 
.27035 
.27038 

9.43493 
.43498 
.43504 
.43509 

.27223 
.27228 
.27229 
.37233 

9.43802 
.43807 
.43813 
.43818 

.27417 
.27420 
.27424 
.27437 

9.44110 
.44115 
.44120 
.44125 

.37612 
.27615 
.27619 
.27623 

9.44416 
.44421 
.44426 
.44431 

.37807 
.37811 
.37814 
.37817 

24 
23 
22 
21 

+  W 

41 
42 
43 

9.43203 
.43209 
.43214 
.43219 

.27043 
.27045 
.27048 
.27051 

9.43514 
.43519 
.43524 
.43529 

.27236 
.27239 
.27242 
.27245 

9.43823 
.43828 
.43833 
.43838 

.37430 
.37433 
.37437 
.37440 

9.44130 
.44135 
.44141 
.44146 

.37625 
.27638 
.37633 
.37635 

9.44436 
.44441 
.44446 
.44452 

.37830 
.37834 
.27827 
.37830 

20 
19 
18 
17 

+  11' 

45 
46 

47 

9.43224 
.43229 
.43234 
.43240 

.27055 
.37058 
.37061 
.37064 

9.43535 
.43540 
.43545 
.43550 

.27249 
.27353 
.37355 
.27258 

9.43843 
.43849 
,43854 
.43859 

.37443 
.37446 
.37450 
.37453 

9.44151 
.44156 
.44161 
.44166 

.37638 
.37641 
.37645 
.37648 

9.44457 
.44462 
.44467 
.44472 

.37833 
.27837 
.37840 
.37843 

16 
15 
14 
13 

+  n' 

49 
50 
51 

9.43245 
.43250 
.43255 
.43260 

.37068 
.37071 
.37074 
.37077 

9.43555 
.43560 
.43565 
.43571 

.27262 
.37265 
.27268 
.27371 

9.43864 
.43869 
.43874 
.43879 

.37456 
.37459 
.37463 
.37466 

9.44171 
44176 
.44181 
.44187 

.37651 
.37654 
.37658 
.37661 

9.44477 
.44482 
.44487 
.44492 

.37846 
.37850 
.37853 
.27856 

12 

11 

10 

9 

+  13^ 

53 
54 
55 

9.43266 
.43271 
.43276 
.43281 

.27080 
.27084 
.27087 
.27090 

9.43576 
.43581 
.43586 
.43591 

.27275 

.27278 
.27281 

.27284 

9.43884 
.43890 
.43895 
.43900 

.37469 
.37473 
.37476 
.37479 

9.44192 
.44197 
.44202 
.44207 

.37664 
.37667 
.37671 
.37674 

9.44497 
.44502 
.44507 
.44513 

.27859 
.27863 
.27866 
.27869 

8 
7 
6 
5 

4 
3 
2 
1 

57 
58 
59 

9.43286 
.43291 
.43297 
.43302 

.27093 
.27097 
.27100 
.27103 

9.43596 
.43602 
.43607 
.43612 

.27288 
.27291 
.27294 
.27297 

9.43905 
.43910 
.43915 
.43920 

.37483 
.37485 
.37489 
.37493 

9.44212 
.44217 
.44222 
.44227 

.37677 
.37680 
.37684 
.27687 

9.44518 
.44523 
.44528 
.44533 

.27873 
.27876 
.27879 

.27882 

+  15^ 

9.43307 

c27106 

9.43617 

.27300 

9.43926 

.37495 

9.44232 

.27690 

9.44538 

.27886 

0 

19^ 

49m 

Wft 

4Sm 

19h 

47m 

19^ 

46/3 

19fi 

45m 

TABLE  IV.                   [Page  95 
Haversinea. 

s 

4hl5m%3°i5'    1 

4h  lem  64°  0' 

4h  17m  64°  IS'' 

jfh  18m  64°  30' 

4h  19m  64°  45' 

3 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  llav. 

Log.  Hav. 

Nat.  Hav. 

0 

1 
2 
3 

9.44538 
.44543 
.44548 
.44553 

.37886 
.37889 
.37893 
.37895 

9.44842 
.44847 
.44852 
.44857 

9.44862 
.44867 
.44872 
.44877 

.38081 

.38085 
.38088 
.38091 

9.45144 
.45149 
.45155 
.45160 

.28278 
.28381 
.28284 
.28288 

9.45446 
.45451 
.45456 
.45461 

.38474 

.38478 
.38481 
.38484 

9.45745 
.45750 
.45755 
.45760 

.38673 
.38675 

.38678 
.28681 

60 
59 
58 
57 
56 
55 
54 
53 

+    r 

5 
6 

7 

9.44558 
.44563 
.44568 
.44573 

.37899 
.37903 
.37905 
.37908 

.38095 
.38098 
.38101 
.38104 

9.45165 
.45170 
.45175 
.45180 

.28391 
.28294 
.28297 
.28301 

9.45460 
.45471 

■  .45476 
.45481 

.38488 
.28491 
.28494 
.28497 

9.45765 
.45770 
.45775 
.45780 

.28685 
.28688 
.28691 
.28695 

+      2' 

9 

10 

11 

9.44579 
.44584 
.44589 
.44594 

.37913 
.37915 
.37918 
.37931 

9.44882 
.44887 
.44892 
.44898 

.38108 
.38111 
.38114 
.38117 

9.45185 
.45190 

■  .45195 
.45200 

.28304 
.38307 
.38310 
.38314 

9.45486 
.45491 
.45496 
.45501 

.28501 
.38504 
.38507 
.38511 

9.45785 
.45790 
.45795 
.45800 

.28698 
.28701 
.28704 

.38708 

52 
51 
50 
49 

+   3' 

IS 
14 
15 

9.44599 
.44604 
.44609 
.44614 

.37935 
.37938 
.37931 
.37935 

9.44903 
.44908 
.44913 
.44918 

.38131 
.38134 
.38137 
.38130 

9.45205 
.45210 
.45215 
.45220 

.38317 
.38330 
.38334 
.38337 

9.45506 
.45511 
.45516 
.45521 

.28514 
.28517 
.28530 
.28534 

9.45805 
.45810 
.45815 
.45820 

.28711 
.28714 

.38718 
.38731 

48 
47 
46 
45 

44 
43 
42 
41 

+   4^ 

17 
18 
19 

9.44619 
.44624 
.44629 
.44634 

.37938 
.37941 
.37944 
.37948 

9.44923 
.44928 
.44933 
.44938 

.38134 
.38137 
.38140 
.38144 

9.45225 
.45230 
.45235 
.45240 

.38330 
.38333 
.28337 
.28340 

9.45526 
.45531 
.45536 
.45541 

.38537 
.38530 
.28534 
.28537 

9.45825 
.45830 
.45835 
.45840 

.38734 
.38737 
.28731 
.38734 

+      5' 
21 
22 
23 

9.44639 
.44645 
.44650 
.44655 

.37951 
.37954 
.37957 
.37961 

9.44943 
.44948 
.44953 
.44958 

.38147 
.38150 
.38153 
.38157 

9.45245 
.45250 
.45255 
.45260 

.38343 
.38347 
.38350 
.38353 

9.45546 
.45551 
.45556 
.45561 

.38540 
.38543 
.38547 
.28550 

9.45845 
.45850 
.45855 
.45860 

.28737 
.38741 
.38744 
.38747 

40 
39 
38 

37 

+      6' 

25 
26 
27 

9.44660 
.44665 
.44670 
.44675 

.37964 
.37967 
.37970 
.37974 

9.44963 
.44968 
.44973 
.44978 

.38160 
.38163 
.38166 
.38170 

9.45265 
.45270 
.45275 
.45280 

.38356 
.38360 
.38363 
.28366 

9.45566 
.45571 
.45576 
.45581 

.28553 
.28557 
.28560 
.28563 

9.45865 
.45870 
.45875 
.45879 

.38751 
.38754 

.38757 
.28760 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.44680 
.44685 
.44690 
.44695 

.37977 
.37980 
.37983 
.37987 

9.44983 
.44988 
.44993 
.44998 

.38173 
.38176 
.38180 
.38183 

9.45285 
.45290 
.45295 
.45300 

.28369 
.28373 
.38376 
.38379 

9.45586 
.45591 
.45596 
.45601 

.28566 
.28570 
.28573 
.28576 

9.45884 
.45889 
.45894 
.45899 

.28764 
.28767 
.28770 
.28774 

32 
31 
30 
29 
28 
27 
26 
25 

+      S' 
33 
34 
35 

9.44700 
.44705 
.44710 
.44715 

.37990 
.37993 
.37997 
.38000 

9.45003 
.45009 
.45014 
.45019 

.38186 

.38189 
.38193 
.38196 

9.45305 
.45310 
.45315 
.45320 

.38383 
.38386 
.38389 
.38392 

9.45006 
.45610 
.45615 
.45620 

.28580 

.28583 
.28586 
.28589 

9.45904 
.45909 
.45914 
.45919 

.28777 
.28780 

.28783 
.28787 

37 
38 
39 

9.44721 
.44726 
.44731 
.44736 

.38003 
.38006 
.38010 
.38013 

9.45024 
.45029 
.45034 
.45039 

.38199 
.38303 
.38306 
.38309 

9.45325 
.45330 
.45335 
.45340 

.38396 
.38399 
.28403 
.28406 

9.45625 
.45630 
.45635 
.45640 

.28593 
.28596 
.28599 
.38603 

9.45924 
.45929 
.45934 
.45939 

.28790 
.28793 
.28797 
.28800 
.38803 
.38807 
.38810 
.38813 

24 
23 
22 
21 
20 
19 
18 
17 

+    W 

41 

42 
43 

9.44741 
.44746 
.44751 
.44756 

.38016 
.38019 
.38033 
.38036 

9.45044 
.45049 
.45054 
.45059 

.38313 
.38316 
.38319 

.38333 

9.45345 
.45350 
.45355 
.45360 

.38409 
.28413 
.28415 
.28419 

9.45645 
.45650 

.45655 
.45660 

.28606 
.28609 
.28612 
.28616 

9.45944 
.45949 
.45954 
.45959 

+    ir 

45 
46 
47 

9.44761 
.44766 
.44771 
.44776 

.38039 
.38033 
.38036 
.38039 

9.45064 
.45069 
.45074 
.45079 

.38335 
.38339 
.38333 
.38335 

9.45365 
.45370 
.45375 
.45380 

.38433 
.38435 
.38439 
.38433 

9.45665 
.45670 
.45675 
.45680 

.38619 
.28622 
.28636 
.38639 

9.45964 
.45969 
.45974 
.45979 

.38816 
.38830 

.28823 
.28836 

16 
15 
14 
13 

+  13^ 

49 
50 
51 

9.44781 
.44786 
.44791 
.44796 

.38043 
.38046 
.38049 
.38053 

9.45084 
.45089 
.45094 
.45099 

.38338 
.38343 
.28345 

.38348 

9.45385 
.45390 
.45395 
.45400 

.38435 
.38438 
.38443 
.38445 

9.45685 
.45690 
.45695 
.45700 

.38633 
.28635 
.28639 
.28643 

9.45984 
.45989 
.45994 
.45999 

.38830 

.38833 
.38836 
.28839 

12 

11 

10 

9 

+  13^ 

53 

54 
55 

9.44801 
.44807 
.44812 
.44817 

.38055 
.38059 
.38063 
.38065 

9.45104 
.45109 
.45114 
.45119 

.38353 
.38355 
.38358 
.38361 

9.45405 
.45410 
.45415 
.45420 

.38448 
.38451 
.38455 

.38458 

9.45705 
.45710 
.45715 
.45720 

.38645 
.38649 
.38653 
.38655 

9.46004 
.46009 
.46014 
.46019 

.28843 
.28846 
.28849 

.28853 

8 
7 
6 
5 

+  14^ 

57 
58 
59 

9.44822 
.44827 
.44832 
.44837 

.38068 
.38073 
.38075 

.38078 

9.45124 
.45129 
.45134 
.45139 

.38365 
.28368 
.38371 
.38374 

9.45426 
.45431 
.45436 
.45441 

.38461 
.28465 

.38468 
.38471 

9.45725 
.45730 
.45735 
.45740 

.38658 
.38662 
.28665 
.28668 

9.46023 
.46028 
.46033 
.46038 

.28856 
.28859 
.28863 
.28866 

4 
3 

2 
1 
0 

+  15^ 

9.44842 

.38081 

9.45144 

.38378 

9.45446 

.28474 

9.45745 

.38673 

9.46043 

.28869 

19h44m 

19^  4Sm 

19^42^ 

igh  41m 

19^40^^ 

Page  96] 

TABLE 

IV. 

Haversinea, 

s 

4^  20m  65°  C 

4h2im 

65°  15' 

4h  22^  65°  30' 

4h23'^ 

66°  45' 

4^24^ 

66°  C 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 

9.46043 

.38869 

9.46340 

.29067 

9.46635 

.39365 

9.46929 

.39464 

9.47222 

.39663 

60 

J 

.46048 

.28872 

.46345 

.29070 

.46640 

.39369 

.46934 

.29467 

.47227 

.39866 

59 

e 

.46053 

.28876 

.46350 

.29074 

.46645 

.39272 

.46939 

.39471 

.47231 

.39670 

58 

s 

.  .46058 

.28879 

.46355 

.29077 

.46650 

.29275 

.46944 

.39474 

.47236 

.29673 

51 

+    1' 

9.46063 

.28882 

9.46360 

.39080 

9.46655 

.29279 

9.46949 

.39477 

9.47241 

.29676 

56 

6 

.46068 

.28886 

.46365 

.39084 

.46660 

.29282 

.46954 

.39481 

.47246 

.39680 

55 

6 

.46073 

.28889 

.46370 

.39087 

.46665 

.29285 

.46959 

.39484 

.47251 

.39683 

54 

7 

.46078 

.28892 

.46375 

.39090 

.46670 

.29389 

.46963 

.39487 

.47256 

.29686 

53 

+  2' 

9.46083 

.28895 

9.46380 

.39093 

9.46675 

.29392 

9.46968 

.29491 

9.47261 

.29690 

52 

9 

.46088 

.28899 

.46384 

.39097 

.46680 

.29295 

.46973 

.39494 

.47266 

.39693 

51 

10 

.46093 

.28902 

.46389 

.29100 

.46684 

.29398 

.46978 

.39497 

.47270 

.39696 

50 

11 

.46098 

.28905 

.46394 

.39103 

.46689 

.39302 

.46983 

.29501 

.47275 

.39700 

49 

+      3' 

9.46103 

.28909 

9.46399 

.39107 

9.46694 

.39305 

9.46988 

.29504 

9.47280 

.29703 

48 

IS 

.46108 

.28912 

.46404 

.39110 

.46699 

.39308 

.46993 

.29507 

.47285 

.29706 

41 

14 

.46113 

.28915 

..46409 

.39113 

.46704 

.39313 

.46998 

.29510 

.47290 

.29710 

46 

15 

.46118 

.28918 

.46414 

.39117 

.46709 

.29315 

.47003 

.29514 

.47295 

.29713 

45 

+      i' 

9.46123 

.28922 

9.46419 

.39130 

9.46714 

.29318 

9.47007 

.29517 

9.47300 

.29716 

44 

11 

.46128 

.28925 

.46424 

.39133 

.46719 

.29322 

.47012 

.29520 

.47304 

.29720 

43 

18 

.46132 

.28928 

.46429 

.39136 

.46724 

.29325 

.47017 

.29524 

.47309 

.29723 

42 

19 

.46137 

.28932 

.46434 

.39130 

.46729 

.29338 

.47022 

.29527 

.47314 

.29726 

41 
40 

+  5' 

9.46142 

.28935 

9.46439 

.39133 

9.46733 

.  .39333 

9.47027 

.29530 

9.47319 

.29730 

21 

.46147 

.38938 

..46444 

.39136 

.46738 

.39335 

.47032 

.29534 

.47324 

.29733 

39 

22 

.46152 

.28943 

.46448 

.29140 

.46743 

.39338 

.47037 

.29537 

.47329 

.29736 

38 

23 

.46157 

.28945 

.46453 

.39143 

.46748 

.29341 

.47042 

.29540 

.47334 

.39740 

31 

+   6' 

9.46162 

.38948 

9.46458 

.39146 

9.46753 

.29345 

9.47046 

.29544 

9.47338 

.39743 

36 

25 

.46167 

.38953 

.46463 

.39150 

.46758 

.29348 

.47051 

.29547 

.47343 

.39746 

35 

26 

.46172 

.38955 

.46468 

.39153 

.46763 

.29351 

.47056 

.39550 

.47348 

.39750 

34 

21 

.46177 

.28958 

.46473 

.39156 

.46768 

.29355 

.47061 

.29554 

.47353 

.39753 

33 

+    r 

9.46182 

.38961 

9.46478 

.39160 

9.46773 

.29358 

9.47066 

.29557 

9.47358 

.29756 

32 

29 

.46187 

.38965 

.46483 

.29163 

.46778 

.29361 

.47071 

.29560 

.47363 

.29760 

31 

30 

.46192 

.28968 

.46488 

.29166 

.46782 

.29365 

.47076 

.29564 

.47367 

.29763 

30 

31 

.46197 

.28971 

.46493 

.29169 

.46787 

.39368 

.47081 

.29567 

.47372 

.29766 

29 

+  8^ 

9.46202 

.28975 

9.46498 

.29173 

9.46792 

.39371 

9.47085 

.29570 

9.47377 

.29770 

28 

33 

.46207 

.28978 

.46503 

.29176 

.46797 

.39375 

.47090 

.29573 

.47382 

.39773 

21 

34 

.46212 

.28981 

.46508 

.29179 

.46802 

.39378 

.47095 

.29577 

.47387 

.39776 

26 

35 

.46217 

.28985 

.46512 

.39183 

.46807 

.39381 

.47100 

.29580 

.47392 

.39779 

25 
24 

+  9^ 

9.46222 

.28988 

9.46517 

.39186 

9.46812 

.29385 

9.47105 

.29583 

9.47397 

.39783 

31 

.46226 

.28991 

.46522 

.39189 

.46817 

.29388 

.47110 

.29587 

.47401 

.39786 

23 

38 

.46231 

.28994 

.46527 

.39193 

.46822 

.29391 

.47115 

.29590 

.47406 

.39789 

22 

39 

.46236 

.28998 

.46532 

.39196 

.46827 

.29394 

.47120 

.39593 

.47411 

.39793 

21 

+  10' 

9.46241 

.39001 

9.46537 

.39199 

9.46831 

.29398 

9.47124 

.39597 

9.47416 

.39796 

20 

41 

.46246 

.39004 

.46542 

.39303 

.46836 

.29401 

.47129 

.29600 

.47421 

.39799 

19 

42 

.46251 

.39008 

.46547 

.39306 

.46841 

.29404 

.47134 

.39603 

.47426 

.39803 

18 

43 

.46256 

.39011 

.46552 

.39309 

.46846 

.29408 

.47139 

.39607 

.47431 

.39806 

11 

+  ir 

9.46261 

.39014 

9.46557 

.39313 

9.46851 

.29411 

9.47144 

.39610 

9.47435 

.39809 

16 

45 

.46266 

.39017 

.46562 

.39316 

.46856 

.29414 

.47149 

.39613 

.47440 

.39813 

15 

46 

.46271 

.29021 

.46567 

.29319 

.46861 

.39418 

.47154 

.39617 

.47445 

.29816 

14 

41 

.46276 

.29024 

.46571 

.39222 

.46866 

.39431 

.47159 

.39620 

.47450 

.39819 

13 

+  n' 

9.46281 

.39027 

9.46576 

.29226 

9.46871 

.39424 

9.47163 

.29623 

9.47455 

.39833 

12 

49 

■  .46286 

.39031 

.46581 

.29229 

.46875 

.39438 

.47168 

.29637 

.47460 

.39836 

11 

50 

.46291 

.39034 

.46586 

.39332 

.46880 

.39431 

.47173 

.29630 

.47464 

.39829 

10 

51 

.46296 

.39037 

.46591 

.29236 

.46885 

.39434 

.47178 

.29633 

.47469 

.29833 

9 

+    13' 

9.46301 

.39041 

9.46596 

.29239 

9.46890 

.39438 

9.47183 

.29637 

9.47474 

.29836 

8 

53 

.46305 

.39044 

.46601 

.29343 

.46895 

.29441 

.47188 

.29640 

.47479 

.29839 

1 

54 

.46310 

.29047 

.46606 

.39245 

.46900 

.29444 

.47193 

.29643 

.47484 

.29843 

6 

55 

.46315 

.29051 

.46611 

.29349 

.46905 

.29447 

.47197 

.39647 

.47489 

.29846 

5 

+    W 

9.46320 

.39054 

9.46616 

.39253 

9.46910 

.29451 

9.47202 

.39650 

9.47493 

.29849 

4 

51 

.46325 

.39057 

.46621 

.39355 

.46915 

.39454 

.47207 

.39653 

.47498 

.29853 

3 

58 

.46330 

.39060 

.46626 

.39359 

.46919 

.39457 

.47212 

.39657 

.47503 

.29856 

2 

59 

.46335 

.39064 

.46630 

.39363 

.46924 

.39461 

.47217 

.39660 

.47508 

.39859 

1 

+    15' 

9.46340 

.39067 

9.46635 

.39365 

9.46929 

.39464 

9.47222 

.39663 

9.47513 

.29863 

0 

19h 

Sgm 

igh  ssm 

19h  Sl'm 

19h 

S6m 

19^  35^         1 

TABLE  IV. 

Haversines. 

[Page  97 

s 

4^  25m  66°  15' 

4h  26m  66°  W 

^h  ojm 

66°  45' 

4^  2Sm  67°  0' 

4^  29m 

67°  15' 

s 

Log.  nav. 

Nat.  Hav. 

Log.  nav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Is  at.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
3 

9.47513 
.47518 
.47523 
.47527 

.29863 
.29866 
.29869 
.29873 

9.47803 
.47807 
.47812 
.47817 

.30063 
.30066 
.30069 
.30073 

9.48091 
.48096 
.48101 
.48105 

.30363 
.30368 
.30369 
.30373 

9.48378 
.48383 
.48387 
.48392 

.30463 
.30467 
.30470 
.30473 

9.48664 
.48668 
.48673 
.48678 

.30664 
.30668 
.30671 
.30675 

60 
59 
58 
57 

+    r 

5 
6 
7 

9.47532 
.47537 
.47542 
.47547 

.29876 
.29879 
.29883 

.29886 

9.47822 
.47827 
.47831 
.47836 

.30076 
.30079 
.30083 
.30086 

9.48110 
.48115 
.48120 
.48124 

.30376 
.30380 
.30283 
.30286 

9.48397 
.48402 
.48407 
.48411 

.39477 
.30480 
.30484 
.30487 

9.48683 
.48687 
.48692 
.48697 

.30678 
.30681 
.30685 
.30688 
.30691 
.30895 
.30698 
.30701 

56 
55 
54 
53 
hi 
51 
50 
49 

+      2^ 

9 

10 

11 

9.47552 
.47556 
.47561 
.47566 

.29889 
.29893 
.29896 
.29899 

9.47841 
.47846 
.47851 
.47856 

.30089 
.30093 
.30096 
.30099 

9.48129 
.48134 
.48139 
.48144 

.30290 
.30393 
.30296 
.30300 

9.48416 
.48421 
.48426 
.48430 

.30490 
.39494 
.30497 
.30500 

9.48702 
.48706 
.48711 
.48716 

+  3^ 

13 
14 
15 

9.47571 
.47576 
.47581 
.47585 

.29903 
.29906 
.29909 
.39913 

9.47860 
.47865 
.47870 
.47875 

.30103 
.30106 
.30109 
.30113 

9.48148 
.48153 
.48158 
.48163 

.30303 
.30306 
.30310 
.30313 

9.48435 
.48440 

.48445 
.48449 

.30504 
.30507 
.30510 
.30514 

9.48720 
.48725 
.48730 
.48735 

.30705 
.30708 
.30711 
.30715 

48 
47 
46 
45 

+  4' 
17 
18 
19 

9.47590 
.47595 
.47600 
.47605 

.29916 
.29919 
.29923 
.29926 

9.47880 
.47884 
.47889 
.47894 

.30116 
.30119 
.30133 
.30136 

9.48168 
.48172 
.48177 
.48182 

.30316 
.30330 
.30323 
.30336 

9.48454 
.48459 
.48464 
.48468 

.30517 
.30530 
.30524 
.30527 

9.48739 
.48744 
.48749 
.48754 

.30718 
.30731 
.30725 
.30728 

44 
43 

42 
41 

+  6' 
21 

22 
23 

9.47610 
.47614 
.47619 
.47624 

.39939 
.29933 
.29936 
.29939 

9.47899 
.47904 
.47908 
.47913 

.30139 
.30133 
.30136 
.30139 

9.48187 
.48192 
.48196 
.48201 

.30330 
.30333 
.30336 
.30340 

9.48473 
.48478 

.48483 
.48488 

.30530 
.30534 
.30537 
.30540 

9.48758 
.48763 
.48768 
.48773 

.30733 
.30735 
.30738 
.30742 

40 
39 
38 

37 

+  ^ 

25 
26 

27 

9.47629 
.47634 
.47639 
.47643 

.39943 
.29946 
.39949 
.29953 

9.47918 
.47923 
.47928 
.47933 

.30143 
.30146 
.30149 
.30153 

9.48206 
.48211 
.48215 
.48220 

.30343 
.30346 
.30350 
.30353 

9.48492 
.48497 
.48502 
.48507 

.30544 
.30547 
.30551 
.30554 

9.48777 
.48782 
.48787 
.48792 

.30745 
.30748 
.30753 
.30755 

36 
35 
34 
33 
32 
31 
30 
29 

+    r 

29 
30 
31 

9.47648 
.47653 
.47658 
.47663 

.29956 
.29959 
.29963 
.29966 

9.47937 
.47942 
.47947 
.47952 

.30156 
.30159 
.30163 
.30166 

9.48225 
.48230 
.48235 
.48239 

.30356 
.30360 
.30363 
.30366 

9.48511 
.48516 
.48521 
.48526 

.30557 
.30561 
.30564 
.30567 

9.48796 
.48801 
.48806 
.48811 

.30758 
.30763 
.30765 
.30768 

+     8' 
33 
34 
35 

9.47668 
.47672 
.47677 
.47682 

.29969 
.29973 
.29976 
.29979 

9.47957 
.47961 
.47906 
.47971 

.30169 
.30173 
.30176 
.30179 

9.48244 
.48249 
.48254 
.48258 

.30370 
.30373 
.30376 
.30380 

9.48530 
.48535 
.48540 
.48545 

.30571 
.30574 
.30577 
.30581 

9.48815 
.48820 
.48825 
.48830 

.30772 
.30775 
.30779 
.30782 

28 
27 
26 

25 

+     9^ 

37 
38 
39 

9.47687 
.47692 
.47697 
.47701 

.39983 
.29986 
.29989 
.29993 

9.47976 
.47981 
.47985 
.47990 

.30183 
.30186 
.30189 
.30193 

9.48263 
.48268 
.48273 

.48278 

.30383 
.30386 
.30390 
.30393 

9.48549 
.48554 
.48559 
.48564 

.30584 
.30587 
.30591 
.30594 

9.48834 
.48839 
.48844 
.48848 

.30785 
.30789 
.30792 
.30795 

24 
23 
22 
21 

+  ir 

41 

42 
43 

9.47706 
.47711 
.47716 
.47721 

.29996 
.29999 
.30003 
.30006 

9.47995 
.48000 
.48005 
.48009 

.30196 
.30199 
.30303 
.30306 

9.48282 
.48287 
.48292 
.48297 

.30397 
.30400 
.30403 
.30407 

9.48568 
.48573 
.48578 
.48583 

.30597 
.30601 
.30604 
.30607 

9.48853 

.48858 
.48863 
.48867 

.30799 
.30802 
.30805 
.30809 

20 
19 
18 
17 

+    11^ 

45 
46 

47 

9.47725 
.47730 
.47735 
.47740 

.30009 
.30013 
.30016 
.30019 

9.48014 
.48019 
.48024 
.48029 

.30309 
.30313 
.30316 
.,30319 

9.48302 
.48306 
.48311 
.48316 

.30410 
.30413 
.30417 
.30430 

9.48587 
.48592 
.48597 
.48602 

.30611 
.30614 
.30618 
.30621 

9.48872 
.48877 
.48882 
.48886 

.30813 
.30815 
.30819 
.30833 

16 
15 
14 
IS 
12 
11 
10 
9 

+  13' 

49 
50 
51 

9.47745 
.47750 
.47754 
.47759 

.30023 
.30026 
.30029 
.30033 

9.48033 
.48038 
.48043 
.48048 

.30333 
.30336 
.30339 
.30333 

9.48321 
.48325 
.48330 
.48335 

.30433 
.30427 
.30430 
.30433 

9.48607 
.48011 
.48016 
.48621 

.30634 
.30638* 
.30631 
.30634 

9.48891 
.48896 
.48901 
.48905 

.30836 
.30839 
.30833 
.30836 

+  13' 

53 
54 
55 

9.47764 
.47769 

.47774 
.47778 

.30036 
.30039 
.30043 
.30046 

9.48053 
.48057 
.48002 
.48067 

.30336 
.30339 
.30343 
.30346 

9.48346 
.48344 
.48349 
.48354 

.30437 
.30440 
.30443 
.30447 

9.48626 
.48630 
.48635 
.48640 

.30638 
.30641 
.30644 
.30648 

9.48910 
.48915 
.48919 
.48924 

.30839 
.30843 
.30846 
.30849 

8 
7 
6 
5 

+    IV 

57 
58 
59 

9.47783 
.47788 
.47793 
.47798 

.30049 
.30053 
.30056 
.30059 

9.48072 
.48077 
.48081 
.48086 

.30349 
.30353 
.30356 
.30359 

9.48359 
.48364 
.48368 
.48373 

.30450 
.30453< 
.30457 
.30460 

9.48645 

^  .48649 

.48654 

.48659 

.30651 
.30655 
.30658 
.30661 

9.48929 
.48934 
.48938 
.48943 

.30852 
.30856 
.30859 
.30862 

4 
3 
2 
1 

+  W 

9.47803 

.30063 

9.48091 

.30363 

9.48378 

.30463 

9.48664 

.30664 

9.48948 

.30866 

0 

19^  34m 

19li3Sm 

19h  32^ 

19^ 

sm 

19h  30m         1 

55901°— IS- 


Page  98]                  TABLE  IV. 

Haversines. 

B 

4h  Sffm  67°  SO' 

4^  Sim  67°  45' 

4^  S2m  68°  C 

4hSsme^W 

4^S4me8°W 

8 

Log.  Hav. 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav.  NaLHav 

Log.  Hav. 

Nat.  Hav. 

0 

1 

2 
S 

9.48948 
.48953 
.48957 
.489G2 

.30866 
.30869 
.30873 
.30876 

9.49231 
.49235 
.49240 
.49245 

.31068 
.31071 
.31074 
.31078 

9.49512 
.49517 
.49522 
.49526 

.31370 
.31373 
.31376 
.31380 

9.49793 
.49797 
.49802 
.49807 

.31473 
.31475 
.31479 
.31483 

9.50072 
.50076 
.50081 
.50085 

.31675 
.31678 
.31682 
.31685 

60 
59 
58 

57 

+    r 

5 
6 
7 

9.48967 
.48971 
.48976 
.48981 

.30879 
.30883 
.30886 
.30889 

9.49250 
.49254 
.49259 
.49264 

.31081 
.31084 
.31088 
.31091 

9.49531 
.49536 
.49540 
.49545 

.31383 
.31387 
.31390 
.31393 

9.49811 
.49816 
.49821 
.49825 

.31486 
.31489 
.31493 
.31496 

9.50090 
.50095 
.50099 
.50104 

.31688 
.31693 
.31695 
.31699 

56 
55 
54 
53 

+     2^ 

9 

10 

11 

9.48986 
.48990 
.48995 
.49000 

.30893 
.30896 
.30899 
.30903 

9.49268 
.49273 
.49278 
.49282 

.31095 
.31098 
.31101 
.31105 

9.49550 
.49554 
.49559 
.49564 

.31397 
.31300 
.31303 
.31307 

9.49830 
.49835 
.49839 
.49844 

.31499 
.31503 
.31506 
.31509 

9.50109 
.50113 
.50118 
.50123 

.31703 
.31705 
.31709 
.31713 

5^ 
51 
50 
49 

+      3' 

IS 

u 

15 

9.49004 
.49009 
.49014 
.49019 

.30906 
.30910 
.30913 
.30916 

9.49287 
.49292 
.49297 
.49301 

.31108 
.31111 
.31115 
.31118 

9.49568 
.49573 
.49578 
.49583 

.31310 
.31314 
.31317 
.31330 

9.49849 
.49853 
.49858 
.49802 

.31513 
.31516 
.31519 
.31533 

9.50127 
.50132 
.50136 
.50141 

.31716 
.31719 
.31733 
.31736 

48 
47 
46 
45 

44 
43 
42 
41 
40 
39 
38 
37 
36 
35 
34 
33 

+      4^ 
17 
18 
19 

9.49023 
.49028 
.49033 
.49038 

.30930 
.30923 
.30926 
.30930 

9.49306 
.49311 
.49315 
.49320 

.31131 
.31125 
.31128 
.31133 

9.49587 
.49592 
.49597 
.49601 

.31334 
.31337 
.31330 
.31334 

9.49867 
.49872 
.49876 
.49881 

.31536 
.31530 
.31533 
.31536 

9.50146 
.50150 
.50155 
.50160 

.31729 
.31732 
.31736 
.31739 

+      5' 
21 
22 
23 

9.49042 
.49047 
.49052 
.49056 

.30933 
.30936 
.30940 
.30943 

9.49325 
.49329 
.49334 
.49339 

.31135 
.31138 
.31143 
.31145 

9.49606 
.49611 
.49615 
.49620 

.31337 
.31341 
.31344 
.31347 

9.49886 
.49890 
.49895 
.49900 

.31540 
.31543 
.31546 
.31550 

9.50164 
.50169 
.50174 
.50178 

.31742 
.31746 
.31749 
.31753 

+   6' 

25 
26 

27 

9.49061 
.49066 
.49071 
.49075 

.30946 
.30950 
.30953 
.30957 

9.49344 
.49348 
.49353 
.49358 

.31148 
.31153 
.31155 
.31158 

9.49625 
.49629 
.49634 
.49639 

.31351 
.31354 
.31357 
.31361 

9.49904 
.49909 
.49914 
.49918 

.31553 
.31557 
.31560 
.31563 

9.50183 
.50187 
.50192 
.50197 

.31756 
.31760 
.31763 
.31766 

+    r 

29 
SO 
31 

9.49080 
.49085 
.49089 
.49094 

.30960 
.30963 
.30967 
.30970 

9.49302 
.49367 
.49372 
.49376 

.31163 
.31165 
.31169 
.31173 

9.49643 
.49648 
.49653 
.49657 

.31364 
.31367 
.31371 
.31374 

9.49923 
.49928 
.49932 
.49937 

.31567 
.31570 
.31573 
.31577 

9.50201 
.50206 
.50211 
.50215 

.31770 
.31773 
.31776 
.31780 

32 
31 
30 
29 
28 
27 
26 
25 

+   8' 

33 
34 
35 

9.49099 
.49104 
.49108 
.49113 

.30973 
.30977 
.30980 
.30983 

9.49381 
.49386 
.49390 
.49395 

.31175 
.31179 
.31183 
.31185 

9.49662 
.49667 
.49671 
.49676 

.31378 
.31381 
.31384 

.31388 

9.49942 
.49946 
.49951 
.49956 

.31580 
.31584 
.31587 
.31590 

9.50220 
.50224 
.50229 
.50234 

.31783 
.31787 
.31790 
.31793 

+   9^ 

37 
SB 
39 

9.49118 
.49122 
.49127 
.49132 

.30987 
.30990 
.30994 
.30997 

9.49400 
.49405 
.49409 
.49414 

.31189 
.31193 
^31190 
.31199 

9.49681 
.49685 
.49690 
.49695 

.31391 
.31394 
.31398 
.31401 

9.49960 
.49965 
.49969 
.49974 

.31594 
.31597 
.31601 
.31604 

9.50238 
.50243 
.50248 
.50252 

.31797 
.31800 
.31804 
.31807 

24 
23 
22 
21 

+  ir 

41 
42 
43 

9.49137 
.49141 
.49146 
.49151 

.31000 
.31004 
.31007 
.31010 

9.49419 
.49423 
.49428 
.49433 

.31303 
.31206 
.31309 
.31313 

9.49699 
.49704 
.49709 
.49713 

.31405 
.31408 
.31411 
.31415 

9.49979 
.49983 
.49988 
.49993 

.31607 
.31611 
.31614 
.31617 

9.50257 
.50261 
.50266 
.50271 

.31810 
.31814 
.31817 
.31820 

20 
19 
18 
17 
16 
15 
14 
IS 

+  11' 

45 
46 
47 

9.49155 
.49160 
.49165 
.49170 

.31014 
.31017 
.31020 
.31024 

9.49437 
.49442 
.49447 
.49451 

.31316 
.31319 
.31333 
.31336 

9.49718 
.49723 
.49727 
.49732 

.31418 
.31431 
.31425 
.31428 

9.49997 
.50002 
.50007 
.50011 

.31631 
.31624 
.31628 
.31631 

9.50275 
.50280 
.50284 
.50289 

.31824 
.31827 
.31831 
.31834 

+  n' 

49 
50 
51 

9.49174 
.49179 
.49184 
.49188 

.31037 
.31031 
.31034 
.31037 

9.49456 
.49461 
.49465 
.49470 

.31339 
.31333 
.31336 
.31339 

9.49737 
.49741 
.49746 
.49751 

.31432 
.31435 
.31438 
.31442 

9.50016 
.50021 
.50025 
.50030 

.31634 
.31638 
.31641 
.31644 

9.50294 
.50298 
.50303 
.50308 

.31837 
.31841 
.31844 
.31848 

12 
11 
10 
9 
8 
7 
6 
5 

+  13' 

53 
54 
55 

9.49193 
.49198 
.49202 
.49207 

.31041 
.31044 
.31047 
.31051 

9.49475 
.49480 
.49484 
.49489 

.31343 
.31346 
.31349 
.31353 

9.49755 
.49700 
.49765 
.49769 

.31445 
.31448 
.31452 
.31455 

9.50034 
.50039 
.50044 
.50048 

.31648 
.31651 
.31655 
.31658 

9.50312 
.50317 
.50322 
.50326 

.31851 
.31854 
.31858 
.31861 

57 
58 

59 

9.49212 
.49217 
.49221 
.49226 

.31054 
.31057 
.31061 
.31064 

9.49494 
.49498 
.49503 
.49508 

.31356 
.31360 
.31363 
.31266 

9.49774 
.49779 
.49783 
.49788 

.31459 
.31462 
.31465 
.31469 

9.50053 
.50058 
.50062 
.50067 

.31661 
.31665 
.31668 
.31673 

9.50331 
.50335 
.50340 
.50345 

.31865 
.31868 
.31871 
.31875 

4 
3 
2 
1 

+  15' 

9.49231 

.31068 

9.49512 

.31270 

9.49793 

.31473 

9.50072 

.31675 

9.50349 

.31878 

0 

J9h  29m         1 

19^  28m          1 

19Ji  27m         1 

19^  26m 

19h  25m 

TABLE  IV. 

Havereines. 

[Page  99 

s 

4h  S5m  68°  45' 

4h  36m  69°  0' 

4A  SJm  69°  15' 

4t^  SSm  69°  30' 

4h  S9m  69°  45' 

s 

60 
69 
58 
57 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Ilav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 
2 
S 

9.50349 
.50354 
.50358 
.50363 

.31878 
.31881 

.31885 
.31888 

9.50626 
.50630 
.50635 
.50639 

.33083 
.33085 
.33088 
.33093 

9.50901 
.50905 
.50910 
.50914 

.32385 
.33389 
.33393 
.33396 

9.51174 
.51179 
.51184 
.51188 

.33490 
.33493 
.33496 
.33500 

9.51447 
.51452 
.51456 
.51461 

.33694 
.33698 
.33701 
.33704 

+   1' 

5 
6 

7 

9.50368 
.50372 
.50377 
.50382 

.31893 
.31895 

.31898 
.31903 

9.50644 
.50649 
.50653 
.50658 

.33095 
.33099 
.33103 
.33105 

9.50919 
.50924 
.50928 
.50933 

.33399 
.33303 
.32306 
.32309 

9.51193 
.51197 
.51202 
.51206 

.33603 
.33507 
.33510 
.33513 

9.51465 
.51470 
.51474 
.51479 

.33708 
.33711 
.33715 
.33718 

56 

55» 
54 
53 
62 
61 
50 
49 

+    r 

9 
10 
11 

9.50386 
.50391 
.50395 
.50400 

.31905 
.31909 
.31913 
.31915 

9.50662 
.50667 
.50672 
.50676 

.33109 
.33113 
.33116 
.32119 

9.50937 
.50942 
.50946 
.50951 

.33313 
.33316 
.33319 
.33333 

9.51211 
.51215 
.51220 
.51225 

.33517 
.33530 
.33534 
.33537 

9.51483 
.51488 
.51492 
.51497 

.33731 
.33735 
.33738 
.33733 

+   3' 

13 
14 
15 

9.50405 
.50409 
.50414 
.50418 

.31919 
.31933 
.31936 
.31939 

9.50681 
.50685 
.50690 
.50694 

.33133 
.33126 

.32139 
.33133 

9.50956 
.50960 
.50965 
.50969 

.32336 
.33330 
.32333 
.32336 

9.51229 
.51234 
.51238 
.51243 

.33531 
.33534 
.33537 
.33541 
.33544 
.33547 
.33551 
.33554 

9.51501 
.51506 
.51510 
.51515 

.33735 
.33738 
.33742 
.33745 

4S 
47 
46 
45 

44 
43 
42 
41 

+      *' 
17 
18 
19 

9.50423 
.50428 
.50432 
.50437 

.31933 
.31936 
.31939 
.31913 

9.50699 
.50704 
.50708 
.50713 

.33136 
.33139 
.33143 
.33146 

9.50974 
.50978 
.50983 
.50988 

.33340 
.33343 
.33347 
.33350 

9.51247 
.51252 
.51256 
.51261 

9.51519 
.51524 
.51529 
.51533 

.32749 
.32753 
.32756 
.33759 

+  5' 

21 
22 
23 

9.50442 
.50446 
.50451 
.50455 

.31946 
.31949 
.31953 
.31956 

9.50717 
.50722 
.50727 
.50731 

.33150 
.33153 
.33156 
.33160 

9.50992 
.50997 
.51001 
.51006 

.33353 
.33357 
.33360 
.33364 

9.51265 
.51270 

.51275 
.51279 

.33558 
.33561 
.33565 
.33568 

9.51538 
.51542 
.51547 
.51551 

.32762 
.32766 
.32769 
.32773 

40 
39 
38 

37 

+   6^ 

25 
26 
27 

9.50460 
.50465 
.50469 
.50474 

.31959 
.31963 
.31966 
.31970 

9.50736 
.50740 
.50745 
.50750 

.33163 
.33166 
.33170 
.33173 

9.51010 
.51015 
.51019 
.51024 

.33367 
.33370 
.33374 
.33377 

9.51284 
.51288 
.51293 
.51297 

.33571 
.33575 
.33578 
.32582 

9.51556 
.51560 
.51565 
.51569 

.33776 
.33779 
.33783 
.33786 

36 
35 
34 
S3 

+    r 

29 
30 
31 

9.50478 
.50483 
.50488 
.50492 

.31973 
.31976 
.31980 
.31983 

9.50754 
.50759 
.50763 
.50768 

.32177 
.33180 
.33183 
.33187 

9.51029 
.51033 
.51038 
.51042 

.33381 
.33384 
.32388 
.32391 

9.51302 
.51306 
.51311 
.51315 

.32585 
.32588 
.33593 
.32595 

9.51574 
.51578 
.51583 
.51587 

.33790 
.33793 
.33797 
.33800 

32 
31 
30 

29 

+  8' 
33 
34 
35 

9.50497 
.50501 
.50506 
.50511 

.31987 
.31990 
.31993 
.31997 

9.50772 

.50777 
.50782 
.50786 

.32190 
.32194 
.32197 
.32300 

9.51047 
.51051 
.51056 
.51061 

.32394 
.32398 
.33401 
.33405 

9.51320 
.51325 
.51329 
.51334 

.32599 
.32603 
.32605 
.32609 

9.51592 
.51596 
.51601 
.51605 

.32803 
.32807 
.32810 
.32814 

28 
27 
26 
25 

+  ^ 

37 
38 
39 

9.50515 
.50520 
.50524 
.50529 

.33000 
.33004 
.33007 
.33010 

9.50791 
.50795 
.50800 
.50805 

.33204 
.32207 
.33311 
.33314 

9.51065 
.51070 
.51074 
.51079 

.33408 
.33411 
.33415 
.33418 

9.51338 
.51343 
.51347 
.51352 

.32612 
.33616 
.33619 
.33633 

9.51610 
.51614 
.51619 
.51623 

.33817 
.33830 
.33834 
.33837 

24 
23 
22 
21 

+  W 

41 
42 
43 

9.50534 
.50538 
.50543 
.50547 

.33014 
.33017 
.33031 
.33034 

9.50809 
.50814 
.50818 
.50823 

.33317 
.33331 
.33334 
.33238 

9.51083 
.51088 
.51092 
.51097 

.33433 
.33435 
.33438 
.33433 

9.51356 
.51361 
.51305 
.51370 

.33636 
.33639 
.33683 
.32636 

9.51628 
.51633 
.51637 
.51642 

.33831 
.32834 

.32838 
.32841 

20 
19 
18 
17 

+   11^ 

45 
46 
47 

9.50552 
.50557 
.50561 
.50566 

.33037 
.33031 
.32034 
.33037 

9.50827 
.50832 
.50837 
.50841 

.33331 
.33335 
.33338 
.33341 

9.51102 
.51106 
.51111 
.51115 

.33435 
.33438 
.33443 
.33445 

9.51374 
.51379 
.51384 
.51388 

.32640 
.32643 
.32646 
.32650 

9.51646 
.51651 
.51655 
.51660 

.32844 

.32848 
.32851 
.32855 

16 

15 

14 

13 

12 

11 

10 

9 

8 

7 

6 

5 

+    1%' 

49 

50 

51 

+    13' 

53 
54 
55 

9.50570 
.50575 
.50580 
.50584 

.33041 
.33044 
.33048 
.33051 

9.50846 
.50850 
.50855 
.50860 

.33245 
.33348 
.33351 
.33355 

9.51120 
.51124 
.51129 
.51133 

.33449 
.33453 
.33456 
.33459 

9.51393 
.51397 
.51402 
.51406 

.32653 
.32657 
.32660 
.33663 

9.51664 
.51669 
.51673 
.51678 

.33858 
.33861 
.33865 
.33868 

9.50589 
.50593 
.50598 
.50603 

.33054 
.33058 
.33061 
.33065 

9.50864 
.50869 
.50873 
.50878 

.33358 
.33363 
.33365 
.33368 

9.51138 
.51143 
.51147 
.51152 

.33463 
.33466 
.33469 
.33473 

9.51411 
.51415 
.51420 
.51424 

.33667 
.33670 
.33674 
.33677 

9.51682 
.51687 
.51691 
.51696 

.33873 
.33875 

.33878 
.32882 

+  W 

57 
58 
59 

9.50607 
.50612 
.50616 
.50621 

.33068 
.33071 
.33075 
.33078 

9.50882 
.50887 
.50892 
.50896 

.33373 
.33375 
.32379 
.33282 

9.51156 
.51161 
.51165 
.51170 

.33476 
.33479 
.33483 
.33486 

9.51429 
.51433 
.51438 
.51442 

.33681 
.32684 
.32687 
.32691 

9.51700 
.51705 
.51709 
.51714 

.33885 
.33889 
.33892 
.32896 

4 
3 

2 
1 

+    15' 

9.50626 

.33083 

9.50901 

.32285 

9.51174 

.33490 

9.51447 

.32694 

9.51718 

.32899 

0 

19h 

24m 

19h 23m 

19h  22ra 

19^ 

21m 

19h  20m         j 

Page  100]                  TABLE  IV. 

Haversines. 

s 

4h  40m  70''  C 

4h  41m  70°  15' 

4h  42m  70°  30' 

4h  4sm  70°  45' 

4h  44m  710  0' 

s 

Log.  Hav. 

Nat.  Hav 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav 

Nat.  Hav. 

0 
1 

5 
S 

9.51718 
.51723 
.51727 
.51732 

.32899 
.32902 
.32906 
.32909 

9.51988 
.51993 
.51997 
.52002 

.33104 
.33108 
.33111 
.33114 

9.52257 
.52261 
.52266 
.52270 

.33310 
.33313 
.33317 
.33330 

9.52525 
.52529 
.52533 
.52538 

.33515 
.33519 
.33532 
.33526 

9.52791 
.52795 
.52800 
.52804 

.33732 
.33725 
.33728 
.33732 

60 
59 
58 
57 

+    r 

•       5 
6 

7 

9.51736 
.51741 
.51745 
.51750 

.32913 
.32916 
.32920 
.32923 

9.52006 
.52011 
.52015 
.52020 

.33118 
.33121 
.33125 
.33128 

9.52275 
.52279 
.52284 
.52288 

.33323 
.33327 
.33330 
.33334 

9.52542 
.52547 
.52551 
.52556 

.33529 
.33533 
.33536 
.33540 

9.52809 
.52813 
.52817 
.52822 

.33735 
.33739 
.33742 
.33746 

56 
55 

54 
53 
52 
51 
50 
49 
48 
47 
46 
45 

+     2^ 

9 

10 

11 

9.51754 
.51759 
.51763 
.51768 

.32926 
.32930 
.32933 
.32937 

9.52024 
.52029 
.52033 
.52038 

.33132 
.33135 
.33138 
.33142 

9.52293 
.52297 
.52302 
.52306 

.33337 
.33341 
.33344 
.33347 

9.52560 
.52565 
.52569 
.52573 

.33543 
.33546 
.33550 
.33553 

9.52826 
.52831 
.52835 
.52839 

.33749 
.33753 
.33756 
.33759 

+     3' 

13 
U 
15 

9.51772 
.51777 
.51781 
.51786 

.32940 
.32943 
.32947 
.32950 

9.52042 

.52047 
.52051 
.52056 

.33145 
.33149 
.33152 
.33156 

9.52311 
.52315 
.52320 
.52324 

.33351 
.33354 
.33358 
.33361 

9.52578 
.52582 
.52587 
.52591 

.33557 
.33560 
.33564 
.33567 

9.52844 

.52848 
.52853 

.52857 

.33763 
.33766 
.33770 
.33773 

+  4' 

n 

18 
19 

9.51790 
.51795 
.51799 
.51804 

.32954 
.32957 
.32961 
.32964 

9.52060 
.52065 
.52069 
.52074 

.33159 
.33162 
.33166 
.33169 

9.52328 
.52333 
.52337 
.52342 

.33365 
.33368 
.33371 
.33375 

9.52596 
.52600 
.52605 
.52609 

.33570 
.33574 
.33577 
.33581 

9.52862 
.52866 
.52870 
.52875 

.33777 
.33780 
.33783 
.33787 

44 
43 
42 
41 

+     5' 

21 

22 
23 

9.51808 
.51813 
.51817 
.51822 

.32967 
.32971 
.32974 
.32978 

9.52078 
.52082 
.52087 
.52091 

.33173 
.33176 
.33179 
.33183 

9.52346 
.52351 
.52355 
.52360 

.33378 
.33382 
.33385 
.33389 

9.52613 
.52618 
.52622 
.52627 

.33584 

.33588 
.33591 
.33594 

9.52879 
.52884 
.52888 
.52893 

.33790 
.33794 
.33797 
.33801 

40 
39 
SS 
37 
36 
35 
34 
33 

+  6' 

25 
26 
27 

9.51826 
.51831 
.51835 
.51840 

.32981 
.32984 
.33988 
.32991 

9.52096 
.52100 
.52105 
.52109 

.33186 
.33190 
.33193 
.33197 

9.52364 
.52369 
.52373 
.52378 

.33392 
.33395 
.33399 
.33402 

9.52631 
.52636 
.52640 
.52645 

.33598 
.33601 
.33605 
.33608 

9.52897 
.52901 
.52906 
.52910 

.33804 
.33808 
.33811 
.33814 

+    r 

29 
SO 
SI 

9.51844 
.51849 
.51853 
.51858 

.32995 
.32998 
.33002 
.33005 

9.52114 
.52118 
.52123 
.52127 

.33200 
.33203 
.33207 
.33210 

9.52382 
.52386 
.52391 
.52395 

.33406 
.33409 
.33413 
.33416 

9.52649 
.52653 
.52658 
.52662 

.33612 
.33615 
.33618 
.33622 

9.52915 
.52919 
.52923 
.52928 

.33818 
.33821 
.33835 
.33838 

32 
31 
30 
29 
28 
27 
26 
25 

24 
23 

22 
21 

+  8' 
SS 
34 
35 

9.51862 
.51867 
.51871 
.51876 

.33008 
.33012 
.33015 
.33019 

9.52132 
.52136 
.52141 
.52145 

.33314 
.33317 
.33321 
.33224 

9.52400 
.52404 
.52409 
.52413 

.33419 
.33423 
.33426 
.33430 

9.52667 
.52671 
.52676 
.52680 

.33625 
.33629 
.33632 
.33636 

9.52932 
.52937 
.52941 
.52946 

.33833 
.33835 
.33839 
.33842 

+   9^ 

57 
5,? 
39 

9.51880 
.51885 
.51889 
.51894 

.33022 
.33025 
.33029 
.33032 

9.52150 
.52154 
.52159 
.52163 

.33227 
.33231 
.33234 
.33338 

9.52418 
.52422 
.52427 
.52431 

.33433 
.33436 
.33440 
.33444 

9.52684 
.52689 
.52693 
.52698 

.33639 
.33643 
.33646 
.33649 

9.52950 
.52954 
.52959 
.52963 

.33845 
.33849 
.33852 
.33856 

+  W 

41 
42 
43 

9.51898 
.51903 
.51907 
.51912 

.33036 
.33039 
.33043 
.33046 

9.52168 
.52172 
.52177 
.52181 

.33241 
.33345 
.33348 
.33251 

9.52436 
.52440 

.52444 
.52449 

.33447 
.33450 
.33454 
.33457 

9.52702 
.52707 
.52711 
.52715 

.33653 
.33656 
.33660 
.33663 

9.52968 
.52972 
.52976 
.52981 

.33859 
.33863 
.33866 
.33869 

20 
19 
18 

n 

+  11' 

45 
4S 
47 

9.51916 
.51921 
.51925 
.51930 

.33049 
.33053 
.33056 
.33060 

9.52185 
.52190 
.52194 
.52199 

.33255 
.33258 
.33263 
.33265 

9.52453 
.52458 
.52462 
.52467 

.33461 
.33464 
.33467 
.33471 

9.52720 
.52724 
.52729 
.52733 

.33667 
.33670 
.33673 
.33677 

9.52985 
.52990 
.52994 
.52999 

.33873 
.33876 
.33880 
.33883 

16 
15 
14 
13 
12 
11 
10 
9 

+    12' 

49 
50 
51 

9.51934 
.51939 
.51943 
.51948 

.33063 
.33067 
.33070 
.33073 

9.52203 
.52208 
.52212 
.52217 

.33269 
.33272 
.33275 
.33279 

9.52471 
.52476 
.52480 
.52484 

.33474 
.33478 
.33481 
.33485 

9.52738 
.52742 
.52747 
.52751 

.33680 
.33684 
.33687 
.33691 

9.53003 
.53007 
.53012 
.53016 

.33887 
.33890 
.33894 
.33897 

+    13' 

53 
54 
55 

9.51952 
.51957 
.51961 
.51966 

.33077 
.33080 
.33084 
.33087 

9.52221 
.52226 
.52230 
.52235 

.33383 
.33286 
.33289 
.33293 

9.52489 
.52493 
.52498 
.52502 

.33488 
.33491 
.33495 
.33498 

9.52755 
.52760 
.52764 
.52769 

.33694 
.33698 
.33701 
.33704 

9.53021 
.53025 
.53029 
.53034 

.33900 
.33904 
.33907 
.33911 

S 
7 
6 
5 

4 
3 

2 
1 

+    14' 

57 
58 
59 

9.51970 
.51975 
.51979 
.51984 

.33090 
.33094 
.33097 
.33101 

9.52239 
.52244 
.52248 
.52253 

.33396 
.33399 
.33303 
.33306 

9.52507 
.52511 
.52516 
.52520 

.33502 
.33505 
.33509 
.33513 

9.52773 

.52778 
.52782 
.52786 

.33708 
.33711 
.33715 
.33718 

9.53038 
.53043 
.53047 
.53051 

.33914 
.33918 
.33921 
.33925 

+    15' 

9.51988 

.33104 

9.52257 

.33310 

9.52525 

.33515 

9.52791 

.33722 

9.53056   .33938 

0 

19h 19m 

19hlgm 

igh  17m         1 

19A  16m 

19^ 15m 

TABLE  IV. 

Haversinea. 

[Page  101 

s 

4h4Sm 

71°  15' 

4h46m 

71°  30' 

4h  47m 

71°  4.5^ 

4^  4Sm  73°  0' 

.^A  49™  73°  15'  1 

s 

Log.  Ilav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 
2 
3 

9.53056 
.530G0 
.53065 
.53069 

.33938 
.33931 
.33935 
.33938 

9.53320 
.53324 
.53328 
.53333 

.34135 
.34138 
.34143 
.34145 

9.53582 
.53587 
.53591 
.53595 

.34343 
.34345 
.34349 
.34353 

9.53844 
.53848 
.53852 
.53857 

.34549 
.34553 
.34556 
.34560 

9.54104 
.54108 
.54113 
.54117 

.34757 
.34760 
.34764 
.34767 

60 
59 
58 
57 

+  r 

5 
6 
7 

9.53073 
.53078 
.53082 
.53087 

.33943 
.33945 
.33949 
.33953 

9.53337 
.53342 
.53346 
.53350 

.34149 
.34153 
.34155 
.34159 

9.63600 
.53604 
.53609 
.53613 

.34356 
.34359 
.34363 
.34366 

9.53861 
.53865 
.53870 
.53874 

.34563 
.34566 
.34570 
.34573 

9.54121 
.54126 
.54130 
.54134 

.34771 
.34774 
.34778 
.34781 

56 
55 
54 
53 

+     V 

9 
10 
11 

9.53091 
.53096 
.53100 
.53104 

.33956 
.33959 
.33963 
.33966 

9.53355 
.53359 
.53364 
.53368 

.34163 
.34166 
.34169 
.34173 

9.53617 
.53622 
.53626 
.53630 

.34369 
.34373 
.34376 
.34380 

9.53879 
.53883 
.53887 
.53892 

.34577 
.34580 
.34584 

.34587 

9.54139 
.54143 
.54147 
.54152 

.34784 

.34788 
.34791 
.34795 

52 
51 

50 
49 

+  3' 

13 
14 
15 

9.53109 
.53113 
.53118 
.53122 

.33969 
.33973 
.33976 
.33980 

9.53372 
.53377 
.53381 
.53385 

.34176 
.34180 
.34183 
.34186 

9.53635 
.53639 
.53643 
.53648 

.34383 
.34387 
.34390 
.34394 

9.53896 
.53900 
.53905 
.53909 

.34591 
.34594 
.34598 
.34601 

9.54156 
.54160 
.54165 
.54169 

.34798 
.34803 
.34805 
.34809 

48 
47 
46 
45 

+   4' 
17 
18 
19 

9.53126 
.53131 
.53135 
.53140 

.33983 
.33986 
.33990 
.33993 

9.53390 
.53394 
.53399 
.53403 

.34190 
.34193 
.34197 
.34300 

9.53652 
.53657 
.53661 
.53665 

.34397 
.34400 
.34404 
.34407 

9.53913 
.53918 
.53922 
.53926 

.34604 
.34608 
.34611 
.34615 

9.54173 

.54177 
.54182 
.54186 

.34813 
.34816 
.34819 
.34833 

U 
43 
42 
41 

+  5' 

21 

22 
23 

9.53144 
.53148 
.53153 
.53157 

.33997 
.34000 
.34004 
.34007 

9.53407 
.53412 
.53416 
.53421 

.34304 
.34307 
.34311 
.34314 

9.53670 
.53674 
.53678 
.53683 

.34411 
.34414 
.34418 
.34431 

9.53931 
.53935 
.53939 
.53944 

.34618 
.34623 
.34635 
.34639 

9.54190 
.54195 
.54199 
.54203 

.34836 
.34830 
.34833 
.34836 

40 
39 
38 

37 

+      6' 

25 
26 

27 

9.53162 
.53166 
.53170 
.53175 

.34011 
.34014 
.34018 
.34031 

9.53425 
.53429 
.53434 
.53438 

.34318 
.34331 
.34334 
.34338 

9.53687 
.53691 
.53696 
.53700 

.34435 
.34438 
.34433 
.34435 

9.53948 
.53952 
.53957 
.53961 

.34633 
.34636 
.34639 
.34643 

9.54208 
.54212 
.54216 
.54221 

.34840 
.34843 
.34847 
.34850 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.53179 
.53184 
.53188 
.53192 

.34034 
.34038 
.34031 
.34035 

9.53442 
.53447 
.53451 
.53456 

.34331 
.34335 
.34338 
.34343 

9.53704. 
.53709 
.53713 
.53718 

.34439 
.34443 
.34445 
.34449 

9.53966 
.53970 
.53974 
.53978 

.34646 
.34649 
.34653 
.34656 

9.54225 
.54229 
.54234 
.54238 

.34854 
.34857 
.34861 
.34864 

32 
31 
30 
29 

+      8' 
33 
34 
35 

9.53197 
.53201 
.53206 
.53210 

.34038 
.34043 
.34045 
.34049 

9.53460 
.53464 
.53469 
.53473 

.34345 
.34349 
.34353 
.34356 

9.53722 
.53726 
.53731 
.53735 

.34453 
.34456 
.34459 
.34463 

9.53983 
.53987 
.53991 
.53996 

.34660 
.34663 
.34667 
.34670 

9.54242 

.54247 
.54251 
.54255 

.34868 
.34871 
.34875 

.34878 

28 
27 
26 
25 

+    r 

37 
38 
39 

9.53214 
.53219 
.53223 
.53228 

.34053 
.34055 
.34059 
.34063 

9.53477 
.53482 
.53486 
.53491 

.34359 
.34363 
.34366 
.34369 

9.53739 
.53744 
.53748 
.53752 

.34466 
.34470 
.34473 
.34477 

9.54000 
.54004 
.54009 
.54013 

.34674 
.34677 
.34681 
.34684 

9.54260 
.54264 
.54268 
.54272 

.34883 
.34885 
.34888 
.34892 

24 

23 
22 
21 

+  W 

41 
42 
43 

9.53232 
.53236 
.53241 
.53245 

.34066 
.34069 
.34073 
.34076 

9.53495 
.53499 
.53504 
.53508 

.34373 
.34376 
.34380 
.34383 

9.53757 
.53761 
.53765 
.53770 

.34480 
.34483 
.34487 
.34490 

9.54017 
.54022 
.54026 
.54030 

.34688 
.34691 
.34694 
.34698 

9.54277 

.54281 
.54285 
.54290 

.34895 
.34899 
.34902 
.34906 

20 
19 
18 
17 

+  11' 

45 
46 
47 

9.53249 
.53254 
.53258 
.53263 

.34080 
.34083 
.34087 
.34090 

9.53512 
.53517 
.53521 
.53526 

.34387 
.34390 
.34393 

.34297 

9.53774 
■.53778 
.5S783 
.53787 

.34494 
.34497 
.34501 
.34504 

9.54035 
.54039 
.54043 
.54048 

.34701 
.34705 
.34708 
.34713 

9.54294 
.54298 
.54303 
.54307 

.34909 
.34913 
.34916 
.34930 

16 
15 
U 
13 

+  13' 

49 
50 
51 

9.53267 
.53271 
.53276 
.53280 

.34093 
.34097 
.34100 
.34104 

9.53530 
.53534 
.53539 
.53543 

.34300 
.34304 
.34307 
.34311 

9.53792 
.53796 
.53800 
.53805 

.34508 
.34511 
.34515 
.34518 

9.54052 
.54056 
.54061 
.54065 

.34715 
.34719 
.34733 
.34726 

9.54311 
.54316 
.54320 
.54324 

.34933 
.34927 
.34930 
.34933 

12 

11 

10 

9 

+  13' 

53 
54 
55 

9.53285 
.53289 
.53293 
.53298 

.34107 
.34111 
.34114 
.34118 

9.53547 
.53552 
.53556 
.53560 

.34314 
.34318 
.34331 
.34335 

9.53809 
.53813 
.53818 
.53822 

.34531 
.34535 
.34528 
.34533 

9.54069 
.54074 
.54078 
.54082 

.34739 
.34733 
.34736 
.34739 

9.54329 
.54333 
.54337 
.54341 

.34937 
.34940 
.34944 
.34947 

8 
7 
6 
5 

+  14' 

57 
55 
59 

9.53302 
.53307 
.53311 
.53315 

.34131 
.34134 
.34138 
.34131 

9.53565 
.53569 
.53574 
.53578 

.34338 
.34331 
.34335 
.34338 

9.53826 
.53831 
.53835 
.53839 

.34535 
.34539 
.34543 
.34546 

9.54087 
.54091 
.54095 
.54100 

.34743 
.34746 
.34750 
.34753 

9.54346 
.54350 
.54354 
.54359 

.34951 
.34954 
.34958 
.34961 

4 
3 

2 
1 

+  15' 

9.53320 

.34135 

9.53582 

.34343 

9.53844 

.34549 

9.54104 

.34757 

9.54363 

.34965 

0 

19h 

14m 

J9A 13m 

19h 

22m 

igh  urn 

19hi0m 

Page  102]                  TABLE  IV. 

Haversinee. 

s 

4^  50m  72°  Sr 

4h  5im  72°  45/ 

4^  52m  730  0' 

4h  53m  73°  15' 

4h  54m  73°  30/ 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

3 

0 
1 
2 
S 

9.54363 
.54367 
.54372 
.54376 

.34965 
.34968 
.34972 
.34975 

9.54621 

.54625 
.54629 
.54634 

.35173 
.35176 
.35180 
.35183 

9.54878 

.54882 
.54886 
.54890 

.35381 
.35385 
.35388 
.35392 

9.55133 
.55137 
.55142 
.55146 

.35590 
.35594 
.35597 
.35601 

9.55387 
.55392 
.55396 
.55400 

.35799 
.35803 
.35806 
.35810 

60 

59 
58 
57 

+    r 

5 
6 

7 

9.54380 
.54385 
.54389 
.54393 

.34979 
.34983 
.34986 
.34989 

9.54638 
.54642 

.54847 
.54651 

.35187 
.35190 
.35194 
.35197 

9.54895 
.54899 
.54903 
.54907 

.35395 
.35399 
.35403 
.35406 

9.55150 
.55154 
.55159 
.55163 

.35604 
.35608 
.35611 
.35615 

9.55404 
.55409 
.55413 
.55417 

.35813 
.35817 
.35830 
.35834 

56 

55 
54 
53 
52 
51 
50 
49 

4-   2' 

9 

10 

11 

9.54397 
.54402 
.54406 
.54410 

.34993 
.34996 
.34999 
.35003 

9.54655 
.54659 
.54664 
.54668 

.35301 
.35304 
.35308 
.35311 

9.54912 
.54916 
.54920 
.54924 

.35409 
.35413 
.35416 
.35430 

9.55167 
.55171 
.55176 
.55180 

.35618 
.35633 
.35625 
.35638 

9.55421 
.55425 
,55430 
.55434 

.35837 
.35831 
.35834 
.35838 

+   3' 

13 
14 
15 

9.54415 
.54419 
.54423 
.54428 

.35006 
.35010 
.35013 
.35017 

9.54672 
.54677 
.54681 
.54685 

.35315 
.35318 
.35333 
.35225 

9.54929 
.54933 
.54937 
.54942 

.35433 
.35437 
.35430 
.35434 

9.55184 
.55188 
.55192 
.55197 

.35633 
.35635 
.35639 
.35643 

9.55438 
.55442 
.55447 
.55451 

.35841 
.35845 

.35848 
.35853 

48 
47 
46 
45 

+   r 
17 
18 
19 

9.54432 
.54436 
.54440 
.54445 

.35030 
.35034 
.35037 
.35031 

9.54689 
.54694 
.54698 
.54702 

.35338 
.35332 
.35235 
.35239 

9.54946 
.54950 
.54954 
.54959 

.35437 
.35441 
.35444 
.35448 

9.55201 
.55205 
.55209 
.55214 

.35646 
.35649 
.35653 
.35656 

9.55455 
.55459 
.55463 
.55468 

.35855 
.35859 
.35863 
.35865 

44 
43 
42 
41 

+   5^ 
21 

22 
23 

9.54449 
.54453 
.54458 
.54462 

.35034 
.35038 
.35041 
.35044 

9.54707 
.54711 
.54715 
.54719 

.35343 
.35346 
.35249 
.35253 

9.54963 
.54967 
.54971 
.54976 

.35451 
.35454 
.35458 
.35461 

9.55218 
.55222 
.55226 
.55231 

.35660 
.35663 
.35667 
.35670 

9.55472 
.55476 
.55480 
.55485 

.35869 
.35873 
.35876 
.35879 

40 
39 
38 
37 

+  6^ 

25 
26 

27 

9.54466 
.54471 
.54475 
.54479 

.35048 
.35651 
.35055 
.35058 

9.54724 
.54728 
.54732 
.54736 

.35356 
.35260 
.35363 
.35367 

9.54980 
.54984 
.54988 
.54993 

.35465 
.35468 
.35473 
.35475 

9.55235 
.55239 
.55243 
.55248 

.35674 
.35677 
.35681 
.35684 

9.55489 
.55493 
.55497 
.55501 

.35883 
.35886 
.35890 
.35893 

36 

35 
34 
33 

+    r 

29 
30 
31 

9.54483 
.54488 
.54492 
.54496 

.35063 
.35065 
.35069 
.35073 

9.54741 
.54745 
.54749 
.54754 

.35370 
.35374 
.35377 
.35281 

9.54997 
.55001 
.55005 
.55010 

.35479 
.35483 
.35486 
.35489 

9.55252 
.55256 
.55260 
.55265 

.35688 
.35691 
.35695 
.35698 

9.55506 
.55510 
.55514 
.55518 

.35897 
.35900 
.35904 
.35907 

32 
31 
30 
29 
28 
27 
26 
25 

+    s' 

33 
34 

35 

9.54501 
.54505 
.54509 
.54514 

.35076 
.35079 
.35083 
.35086 

9.54758 
.54762 
.54766 
.54771 

.35384 

.35288 
.35391 
.35394 

9.55014 
.55018 
.55022 
.55027 

.35493 
.35496 
.35500 
.35503 

9.55269 
.55273 

.55277 
.55282 

.35703 
.35705 
.35709 
.35713 

9.55523 
.55527 
.55531 
.55535 

.35911 
.35914 
.35918 
.35931 

+    r 

37 
38 
39 

9.54518 
.54522 
.54526 
.54531 

.35090 
.35093 
.35097 
.35100 

9.54775 
.54779 
.54784 
.54788 

.35398 
.35301 
.35305 
.35308 

9.55031 
.55035 
.55039 
.55044 

.35507 
.35510 
.35514 
.35517 

9.55286 
.55290 
.55294 
.55298 

.35716 
.35719 
.3^733 
.35736 

9.55539 
.55544 
.55548 
.55552 

.35935 
.35938 
.35932 
.35935 

24 
23 
22 
21 

+    W 

41 

42 
43 

9.54535 
.54539 
.54544 
.54548 

.35103 
.35107 
.35110 
.35114 

9.54792 
.54796 
.54801 
.54805 

.35313 
.35315 
.35319 
.35332 

9.55048 
.55052 
.55057 
.55061 

.35531 
.35534 
.35538 
.35531 

9.55303 
.55307 
.55311 
.55315 

.35730 
.35733 
.35737 
.35740 

9.55556 
.55561 
.55565 
.55569 

.35939 
.35942 
.35946 
.35949 

20 
19 
18 
17 

+  ir 

45 
46 
47 

9.54552 
.54556 
.54561 
.54565 

.35117 
.35121 
.35134 
.35138 

9.54809 
.54813 
.54818 
.54822 

.35326 
.35329 
.35333 
.35336 

9.55065 
.55069 
.55074  1 
.55078 

.35534 
.35538 
.35541 
.35545 

9.55320 
.55324 
.55328 
.55332 

.35743 
.35747 
.35750 
.35754 

9.55573 
.55577 
.55582 
.55586 

.35953 
.35956 
.35960 
.35963 

16 
15 
14 
13 

+  13' 

49 
50 
51 

9.54569 

.54574 
.54578 
.54582 

.35131 
.35135 
.35138 
.35143 

9.54826 
.54831 
.54835 
.54839 

.35340 
.35343 
.35347 
.35350 

9.55082 
.55086 
.55091 
.55095 

.35548 
.35553 
.35555 
.35559 

9.55337 
.55341 
.55345 
.55349 

.35757 
.35761 
.35764 
.35768 

9.55590 
.55594 
.55598 
.55603 

.35967 
.35970 
.35974 
.35977 

12 

11 

10 

9 

+  13' 

53 
54 
55 

9.54587 
.54591 
.54595 
.54599 

.35145 
.35149 
.35153 
.35156 

9.54843 
.54848 
.54852 
.54856 

.35354 
.35357 
.35361 
.35364 

9.55099 
.55103 
.55108 
.55112 

.35563 
.35566 
.35569 
.35573 

9.55354 
.55358 
.55362 
.55366 

.35771 
.35775 

.35778 
.35783 

9.55607 
.55611 
.55615 
.55620 

.35981 
.35984 
.35988 
.35991 

8 
7 
6 
5 

4 
3 
2 
1 

+    W 

57 
58 
59 

9.54604 
.54608 
.54612 
.54617 

.35159 
.35163 
.35166 
.35169 

9.54860 
.54865 
.54869 
.54873 

.35368 
.35371 
.35374 
.35378 

9.55116 
.55120 

.55125 
.55129 

.35576 
.35580 
.35583 
.35587 

9.55370 
.55375 
.55379 
.55383 

.35785 
.35789 
.35793 
.35796 

9.55624 
.55628 
.55632 
.55636 

.35995 
.35998 
.36002 
.36005 

+  15' 

9.54621 

.35173 

9.54878  1 

.35381 

9.55133   .35590 

9.55387 

.35799 

9.55641  1 

.36009 

0 

19h  gm 

19h  8m           1 

19h7m 

19h6m 

19h  5m          j 

TABLE  IV.                  [Page  103 

Haversinea. 

s 

4f>'  55m  73°  45' 

\n  56^  74°  0' 

4h  57m  74°  15' 

4h5smU°W 

4h59^U°i5'   1 

3 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Ha>v. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 

1 
2 
3 

9.55641 
.55645 
.55649 
.55653 

.36009 
.36013 
.36016 
.36019 

9.55893 
.55897 
.55901 
.55905 

.36318 
.36233 
.36235 
.36239 

9.56144 
.56148 
.56152 
.56156 

.36438 
.36431 
.36435 
.36438 

9.56393 
.56397 
.56402 
.56406 

.36638 
.38643 
.36645 
.36649 

9.56642 
.56646 
.56650 
.56654 

.36848 
.36853 
.36855 
.36859 

60 
59 
58 
57 
56 
55 
54 
53 

4-  V 
5 
6 

7 

9.55657 
.55662 
.55666 
.55670 

.36023 
.36026 
.36030 
.36033 

9.55909 
.55914 
.55918 
.55922 

.36232 
.36336 
.36339 
.36243 

9.56160 
.56164 
.56169 
.56173 

.36443 
.36445 
.36449 
.36453 

9.56410 
.56414 
.56418 
.56422 

.36652 
.36656 
.36659 
.36663 

9.56658 
.56663 
.56667 
.56671 

.36863 
.36866 
.36869 
.36873 

9 
10 
11 

9.55674 
.55678 
.55683 
.55687 

.36036 
.36040 
.36043 
.36047 

9.55926 
.55930 
.55935 
.55939 

.36346 
.36350 
.36253 
.36257 

9.56177 
.56181 
.56185 
.56189 

.36456 
.36459 
.36463 
.36466 

9.56426 
.56431 
.56435 
.56439 

.36666 
.36670 
.36673 
.36677 

9.56675 
.56679 
.56683 
.56687 

.36877 
.36880 
.36884 

.36887 

52 
51 
50 
49 

+     3' 

13 
14 
15 

9.55691 

.55695 
.55699 
.55704 

.36030 
.36054 
.36057 
.36061 

9.55943 
.55947 
.55951 
.55955 

.36360 
.36364 
.36367 
.36371 

9.56194 
.56198 
.56202 
.56206 

.36470 
.36473 
.36477 
.36480 

9.56443 
.56447 
.56451 
.56456 

.36680 
.36684 
.36687 
.38691 

9.56692 
.56696 
.56700 
.56704 

.36891 
.36894 
.36898 
.36901 

48 

47 
46 

45 

+   *^ 
17 
18 
19 

9.55708 
.55712 
.55716 
.55721 

.36064 
.36068 
.38071 
.36075 

9.55960 
.55964 
.55968 
.55972 

.36374 
.36378 
.36381 
.36385 

9.56210 
.56214 
.56219 
.56223 

.36484 
.36487 
.36491 
.36494 

9.56460 
.56464 
.56468 
.56472 

.36694 
.36698 
.36701 
.36705 

9.56708 
.56712 
.56716 
.56720 

.36905 
.36908 
.36913 
.36915 

44 

43 
42 
41 

+     5' 

21 

22 
23 

9.55725 
.55729 
.55733 
.55737 

.36078 
.36083 
.36085 
.36089 

9.55976 
.55981 
.55985 
.55989 

.36388 
.36393 
.36395 
.36399 

9.56227 
.56231 
.56235 
.56239 

.36498 
.36501 
.36505 
.36508 

9.56476 
.56480 
.56485 
.56489 

.36708 
.38712 
.36715 
.36719 

9.56725 
.56729 
.56733 
.56737 

.36919 
.36933 
.36926 
.36939 

40 
39 

38 
37 
36 
35 
34 
S3 

+  6' 

25 
26 

27 

9.55742 
.55746 
.55750 
.55754 

.36093 
.36096 
.36099 
.36103 

9.55993 
.55997 
.56001 
.56006 

.36303 
.36306 
.36309 
.36313 

9.56244 
.56248 
.56252 
.56256 

.36513 
.36515 
.36519 
.36533 

9.56493 
.56497 
.56501 
.56505 

.36722 
.36736 
.36739 
.36733 

9.56741 
.56745 
.56749 
.56753 

.36933 
.36936 
.36940 
.36943 

+    r 

29 
SO 
SI 

9.55758 
.55763 
.55767 
.55771 

.36106 
.36110 
.36113 
.36117 

9.56010 
.56014 
.56018 
.56022 

.36316 
.36330 
.36333 
.36337 

9.56260 
.56264 
.56269 
.56273 

.36536 
.36539 
.36533 
.36536 

9.56509 
.56514 
.56518 
.56522 

.36736 
.36740 
.36743 
.36747 

9.56758 
.56762 
.56766 
.56770 

.36947 
.36950 
.36954 
.36957 

32 
31 
30 
29 

+   8' 
S3 

S4 
S5 

9.55775 
.55779 
.55784 
.55788 

.36120 
.36134 
.36137 
.36131 

9.56027 
.56031 
.56035 
.56039 

.36330 
.36334 
.36337 
.36341 

9.56277 
.56281 
.56285 
.56289 

.36549 
.36543 
.36547 
.36551 

9.56526 
.56530 
.56534 
.56538 

.36750 
.36754 
.36757 
.36761 

9.56774 
.56778 
.56782 
.56786 

.36961 
.36964 
.36968 
.36971 

28 
27 
26 

25 

-f  9^ 

S7 
S8 
S9 

9.55792 
.55796 
.55800 
.55805 

.36134 
.36138 
.36141 
.36145 

9.56043 
.56047 
.56052 
.56056 

.36344 
.36348 
.36351 
.36355 

9.56294 
.56298 
.56302 
.56306 

.36554 
.36558 
.36561 
.36565 

9.56543 
.56547 
.56551 
.56555 

.36764 
.36768 
.36771 
.36775 

9.56791 
.56795 
.56799 
.56803 

.36975 
.36978 
.36983 
.36985 

24 

23 
22 
21 

+  W 

41 

42 
43 

9.55809 
.55813 
.55817 
.55821 

.36148 
.36153 
.36155 
.36159 

9.56060 
.56064 
.56068 
.56073 

.36358 
.36363 
.36365 
.36368 

9.56310 
.56314 
.56318 
.56323 

.36568 
.36573 
.36575 
.36579 

9.56559 
.56563 
.56567 
.56572 

.36778 
.36783 
.36785 
.36789 

9.56807 
.56811 
.56815 
.56819 

.36989 
.36993 
.36996 
.36999 

20 
19 
18 
17 

+  11' 

45 
46 
47 

9.55826 
.55830 
.55834 
.55838 

.36163 
.36166 
.36169 
.36173 

9.56077 
.56081 
.56085 
.56089 

.36373 
.36376 
.36379 
.36383 

9.56327 
.56331 
.56335 
.56339 

.36583 
.36586 
.36589 
.36593 

9.56576 
.56580 
.56584 
.56588 

.36793 
.36796 
.36799 
.36803 

9.56824 
.56828 
.56832 
.56836 

.37003 
.37006 
.37010 
.37013 

16 
15 
U 
IS 

+   12' 

49 
50 
51 

9.55842 
.55846 
.55851 
.55855 

.36176 
.36180 
.36183 
.36187 

9.56093 
.56098 
.56102 
.56106 

.36386 
.36389 
.36393 
.36396 

9.56343 
.56348 
.56352 
.56356 

.36596 
.36600 
.36603 
.36607 

9.56592 
.56596 
.56601 
.56605 

.36806 
.36810 
.36813 
.36817 

9.56840 
.56844 
.56848 
.56852 

.37017 
.37030 
.37034 
.37037 

12 

11 

10 

9 

+    13' 

53 
54 
55 

9.55859 
.55863 
.55867 
.55872 

.36190 
.36194 
.36197 
.36201 

9.56110 
.56114 
.56118 
.56123 

.36400 
.36403 
.36407 
.36410 

9.56360 
.56364 
.56368 
.56373 

.36610 
.36614 
.36617 
.36631 

9.56609 
.56613 
.56617 
.56621 

.36830 
.36834 
.36837 
.36831 

9.56856 
.56861 
.56865 
.56869 

.37031 
.37034 
.37038 
.37041 

8 
7 
6 
5 

+    14' 

57 
58 
59 

9.55876 
.55880 
.55884 
.55888 

.36304 
.36308 
.36211 
.36215 

9.56127 
.56131 
.56135 
.56139 

.36414 
.36417 
.36421 
.36424 

9.56377 
.56381 
.56385 
.56389 

.36634 
.36638 
.36631 
.36635 

9.56625 
.56630 
.56634 
.56638 

.36834 
.36838 
.36841 
.36845 

9.56873 
.56877 
.56881 
.56885 

.37045 
.37049 
.37053 
.37055 

4 
3 
2 
1 

+  15' 

9.55893 

.3631S 

9.56144 

.36428 

9.56393 

.36638 

9.56642 

.36848 

9.56889 

.37059 

0 

19^  4m 

ighsm 

igh^m 

ighim 

19^  Qm 

Page  104] 

TABLE  IV. 

Haversines. 

s 

5ft  Om 

75°  (K 

5ft  im  750  15/ 

5h  fro  75°  30' 

5ft  5"*  75"*  45' 

5h  4m 

76°  0' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  IIrv. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

s 

9.56889 
.56893 
.56898 
.56902 

.37059 
.37063 
.37066 
.37070 

9.57136 
.57140 

.57144 
.57148 

.37370 
.37373 
.37377 
.37280 

9.57381 

.57385 
.57389 
.57393 

.37481 
.37485 

.37488 
.37493 

9.57625 
.57629 
.57633 
.57637 

.37693 
.37696 
.37699 
.37703 

9.57868 

.57872 
.57876 
.57881 

.37904 
.37907 
.37911 
.37914 

6Q 
59 
58 
57 
56 
55 
54 
53 

+    r 

5 
6 

7 

9.56906 
.56910 
.56914 
.56918 

.37073 
.37077 
.37080 
.37084 

9.57152 
.57156 
.57160 
.57165 

.37384 

.37387 
.37391 
.37395 

9.57397 
.57402 
.57406 
.57410 

.37495 
.37499 
.37503 
.37506 

9.57642 
.57646 
.57650 
.57654 

.37706 
.37710 
.37713 
.37717 

9.57885 
.57889 
.57893 
.57897 

.37918 
.37923 
.37925 
.37929 

+  2' 

9 

10 

11 

9.56922 
.56926 
.56931 
.56935 

.37087 
.37091 
.37094 
.37098 

9.57169 
.57173 

.57177 
.57181 

.37398 
.37303 
.37305 
.37309 

9.57414 

.57418 
.57422 
.57426 

.37509 
.37513 
.37516 
.37530 

9.57658 
.57662 
.57666 
.57670 

.37731 
.37734 

.37728 
.37731 

9.57901 
.57905 
.57909 
.57913 

.37933 
.37936 
.37939 
.37943 

52 
51 
50 
49 

+   3' 

IS 

14 

15 

9.56939 
.56943 

.56947 
.56951 

.37101 
.37105 
.37108 
.37112 

9.57185 
.57189 
.57193 
.57197 

.37313 
.37316 
.37319 
.37333 

9.57430 

.57434 
.57438 
.57442 

.37533 
.37537 
.37530 
.37534 

9.57674 
.57678 
.57682 
.57686 

.37735 
.37738 
.37743 
.37745 

9.57917 
.57921 
.57925 
.57929 

.37946 
.37950 
.37953 
.37957 

48 

47 
46 

45 

+  4' 

17 
18 
19 

9.56955 
.56959 
.56963 
.56968 

.37115 
.37119 
.37133 
.37126 

9.57201 
.57205 
.57210 
.57214 

.37336 
.37330 
.37333 
.37337 

9.57446 
.57450 
.57454 
.57459 

.37537 
.37541 
.37544 
.37548 

9.57690 
.57694 
.57698 
.57702 

.37749 
.37753 
.37756 
.37759 

9.57933 
.57937 
.57941 
.57945 

.37960 
.37964 
.37967 
.37971 

44 
43 

42 
41 

+  5' 

21 
22 
23 

9.56972 
.56976 
.56980 
.56984 

.37139 
.37133 
.37136 
.37140 

9.57218 
.57222 
.57226 
.57230 

.37340 
.37344 
.37347 
.37351 

9.57463 

.57467 
.57471 
.57475 

.37551 
.37555 
.37558 
.37563 

9.57706 
.57711 
.57715 
.57719 

.37763 
.37766 
.37770 
.37773 

9.57949 
.57953 
.57957 
.57961 

.37974 
.37978 
.37983 
.37985 

40 
39 
38 
31 

+  6' 

25 
26 

27 

9.56988 
.56992 
.56996 
.57000 

.37143 
.37147 
.37150 
.37154 

9.57234 

.57238 
.57242 
.57246 

.37354 
.37358 
.37361 
.37365 

9.57479 
.57483 
.57487 
.57491 

.37566 
.37569 
.37573 
.37576 

9.57723 
.57727 
.57731 
.57735 

.37777 
.37780 

.37784 
.37788 

9.57965 
.57969 
.57973 
.57977 

.37989 
.37993 
.37996 
.37999 

36 
35 
34 

33 

+    r 

29 
30 
31 

9.57005 
.57009 
.57013 
.57017 

.37157 
.37161 
.37164 
.37168 

9.57250 
.57255 
.57259 
.57263 

.37368 
.37373 
.37375 
.37379 

9.57495 
.57499 
.57503 
.57507 

.37580 
.37583 

.37587 
.37590 

9.57739 
.57743 
.57747 
.57751 

.37791 
.37794 
.37798 
.37803 

9.57981 

.57986 
.57990 
.57994 

.38003 
.38006 
.38010 
.38013 

32 
31 
30 
29 

+     8' 

33 
34 
35 

9.57021 
.57025 
.57029 
.57033 

.37171 
.37175 
.37179 
.37183 

9.57267 
.57271 
.57275 
.57279 

.37383 
.37386 
.37389 
.37393 

9.57511 
.57516 
.57520 
.57524 

.37594 
.37597 
.37601 
.37604 

9.57755 
.57759 
.57763 
.57767 

.37805 
.37809 
.37813 
.37816 

9.57998 
.58002 
.58006 
.58010 

.38017 

.38030 
.38034 
.38037 

28 

21 
26 
25 

+      9" 

37 
38 
39 

9.57037 

.57042 
.57046 
.57050 

.37186 
.37189 
.37193 
.37196 

9.57283 
.57287 
.57291 
.57295 

.37397 
.37400 
.37404 
.37407 

9.57528 
.57532 
.57536 
.57540 

.37608 
.37611 
.37615 
.37618 

9.57771 

.57775 
.57779 
.57783 

.37819 
.37833 
.37836 
.37830 

9.58014 
.58018 
.58022 
.58026 

.38031 
.38034 
.38038 
.38043 

24 
23 
22 
21 
20 
19 
18 
17 

+    W 

41 
42 
43 

9.57054 
.57058 
.57062 
.57066 

.37300 
.37303 
.37307 
.37310 

9.57299 
.57304 
.57308 
.57312 

.37411 
.37414 
.37418 
.37431 

9.57544 
.57548 
.57552 
.57556 

.37633 
.37635 
.37639 
.37633 

9.57787 
.57792 
.57796 
.57800 

.37833 
.37837 
.37840 
.37844 

9.58030 

.58034 
.58038 
.58042 

.38045 
.38049 
.38053 
.38056 

+  U' 

■'^ 
46 
47 

9.57070 

.57074 
.57078 
.57083 

.37314 
.37317 
,37331 
.37334 

9.57316 
.57320 
.57324 
.57328 

.37435 
.37438 
.37433 
.37435 

9.57560 
.57564 
.57568 
.57572 

.37636 
.37639 
.37643 
.37647 

9.57804 
.57808 
.57812 
.57816 

.37847 
.37851 
.37855 
.37858 

9.58046 
.58050 
.58054 
.58058 

.38059 
.38063 
.38066 
.38070 

16 
15 
14 
13 

+    13' 
49 
50 
51 

9.57087 
.57091 
.57095 
.57099 

.37338 
.37231 
.37335 
.37238 

9.57332 
.57336 
.57340 
.57344 

.37439 
.37443 
.37446 
.37449 

9.57577 
.57581 
.57585 
.57589 

.37650 
.37654 
.37657 
.37661 

9.57820 
.57824 
.57828 
.57832 

.37863 
.37865 
.37869 

.37873 

9.58062 
.58066 
.58070 
.58074 

.38073 
.38077 
.38080 
.38084 

12 

11 

10 

9 

+  13' 

53 
54 
55 
+  14' 
57 
58 
59 

9.57103 
.57107 
.57111 
.57115 

.37343 
.37345 
.37349 
.37353 

9.57348 
.57353 
.57357 
.57361 

.37453 
.37456 
.37460 
.37463 

9.57593 
.57597 
.57601 
.57605 

.37664 
.37668 
.37671 
.37675 

9.57836 
.57840 
.57844 
.57848 

.37876 
.37879 

.37883 
.37886 

9.58078 
.58082 
.58086 
.58090 

.38087 
.38091 
.38095 
.38098 

8 
7 
6 
5 

9.57119 
.57124 
.57128 
.57132 

.37356 
.37359 
.37363 
.37366 

9.57365 
.57369 
.57373 

.57377 

.37467 
.37470 
.37474 
.37477 

9.57609 
.57613 
.57617 
.57621 

.37678 
.37683 
.37685 
.37689 

9.57852 
.57856 
.57860 
.57864 

.37890 
.37893 
.37897 
.37900 

9.58094 
.58098 
.58102 
.58106 

.38103 
.38105 
.38109 
.38113 

4 
3 

S 
1 
0 

+   15' 

9.57136 

.37370 

9.57381 

.37481 

9.57625 

.37693 

9.57868 

.37904 

9.58110 

.38116 

18h  59m 

15ft  55m 

18^  57m 

18^  56^ 

i5ft  55m       1 

TABLE  IV.                  [Page  106 
HaversincB. 

s 

5^5mU°W    1 

5h  6m  76°  30'  | 

5h  jm  76°  45/ 

5A  8m  77°  0'  | 

571577177015/  1 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

s 

0 
1 

2 
3 

9.58110 
.58114 
.58118 
.58122 

.38116 
.38119 
.38133 
.38126 

9.58351 
.58355 
.58359 
.58363 

.38328 
.38331 
.38335 
.38338 

9.58591 
.58595 
.58599 
.58603 

.38540 
.38544 
.38547 
.38551 

9.58830 

.58834 
.58838 
.58842 

.38752 
.38756 
.38760 
.38763 

9.59068 
.59072 
.59076 
.59079 

.38965 
.38969 
.38972 
.38976 

60 
59 
58 
57 

+    r 

5 
6 
7 

9.58126 
.58131 
.58135 
.58139 

.38130 
.38133 
.38137 
.38140 

9.58367 
.58371 
.58375 
.58379 

.38343 
.38345 
.38349 
.38353 

9.58607 
.58611 
.58615 
.58619 

.38554 

.3a558 
.38561 
.38565 

9.58846 

.58850 
.58854 
.58858 

..?8767 
.38770 
.38774 

.38777 

9.59083 
.59087 
.59091 
.59095 

.38979 
.38983 
.38986 
.38990 

56 
55 
54 
53 

+     2^ 

9 

10 

11 

9.58143 
.58147 
.58151 
.58155 

.38144 
.38148 
.38151 
.38155 

9.58383 
.58387 
.58391 
.58395 

.38356 
.38360 
.38363 
.38367 

9.58623 
.58627 
.58631 
.58635 

.38568 
.38572 
.38575 
.38579 

9.58862 
.58866 
.58870 
.58874 

.38781 
.38784 
.38788 
.38791 

9.59099 
.59103 
.59107 
.59111 

.38994 
.38997 
.39001 
.39004 

52 
51 
50 
49 

+     3^ 

13 

14 
15 

9.58159 
.58163 
.58167 
.58171 

.38158 
.38163 
.38165 
.38169 

9.58399 
.58403 
.58407 
.58411 

.38370 
.38374 
.38377 
.38381 

9.58639 
.58643 
.58647 
.58651 

.38583 
.38586 
.38590 
.38593 

9.58878 

.58882 
.58885 
.58889 

.38795 
.38799 

.38803 
.38806 

9.59115 
.59119 
.59123 
.59127 

.39008 
.39011 
.39015 
.39018 

48 
47 
46 

45 

+   4^ 

17 
IS 
19 

9.58175 
.58179 
.58183 
.58187 

.38173 
.38176 
.38179 
.38183 

9.58415 
.58419 
.58423 
.58427 

.38384 
.38388 
.38391 
.38395 

9.58655 
.58659 
.58663 
.58667 

.38597 
.38600 
.38604 
.38607 

9.58893 
.58897 
.58901 
.58905 

.38809 
.38813 
.38816 

.38830 

9.59131 
.59135 
.59139 
.59143 

.39033 
.39035 
.39029 
.39033 

U 
43 
42 
41 

+     5^ 
21 
22 
23 

9.58191 
.58195 
.58199 
.58203 

.38186 
.38190 
.38193 
.38197 

9.58431 
.58435 
.58439 
.58443 

.38398 
.38403 
.38406 
.38409 

9.58671 
.58675 
.58679 
.58683 

.38611 
.38614 

.38618 
.38631 

9.58909 
.58913 
.58917 
.58921 

.38833 

.38837 
.38830 
.38834 

9.59147 
.59151 
.59155 
.59158 

.39036 
.39040 
.39043 
.39047 

40 
39 
38 
37 

+      6' 

25 
26 
27 

9.58207 
.58211 
.58215 
.58219 

.38300 
.38304 
.38308 
.38311 

9.58447 
.58451 
.58455 
.58459 

.38413 
.38416 
.38430 
.38433 

9.58687 
.58691 
.58695 
.58699 

.38635 
.38638 
.38632 
.38636 

9.58925 
.58929 
.58933 
.58937 

.38837 
.38841 

.38845 
.38848 

9.59162 
.59166 
.59170 
.59174 

.39050 
.39054 
.3tK»7 
.39061 

36 

35 
34 
33 

+    r 

29 
SO 
31 

9.58223 
.58227 
.58231 
.58235 

.38315 
.38318 
.38333 
.38335 

9.58463 
.58467 
.58471 
.58475 

.38437 
.38430 
.38434 
.38437 

9.58703 
.58707 
.58711 
.58715 

.38639 
.38643 
.38646 
.38650 

9.58941 
.58945 
.58949 
.58953 

.38853 
.38855 
.38859 
.38863 

9.59178 
.59182 
.59186 
.59190 

.39064 
.39068 
.39073 
.39075 

32 
31 
30 
29 

+   8- 

33 
34 
35 

9.58239 
.58243 
.58247 
.58251 

.38339 
.38333 
.38336 
.38339 

9.58479 
.58483 
.58487 
.58491 

.38441 
.38444 
.38448 
.38451 

9.58719 
.58723 

.58727 
.58731 

.38653 
.38657 
.38660 
.38664 

9.58957 
.58961 
.58965 
.58969 

.38866 
.38869 

.38873 
.38876 

9.59194 
.59198 
.59202 
.59206 

.39079 
.39083 
.39086 
.39089 

28 
27 
26 

25 

+    r 

37 
38 
39 

9.58255 
.58259 
.58263 
.58267 

.38343 
.38346 
.38350 
.38354 

9.58495 
.58499 
.58503 
.58507 

.38455 
.38459 
.38463 
.38466 

9.58735 
.58739 
.58742 
.58746 

.38667 
.38671 
.38675 
.38678 

9.58973 
.58977 
.58981 
.58985 

.38880 
.38884 
.38887 
.38891 

9.59210 
.59214 
.59218 
.59222 

.39093 
.39096 
.39100 
.39103 

24 
23 
22 
21 

+  W 

41 
42 
43 

9.58271 

.58275 
.58279 
.58283 

.38357 
.38361 
.38364 
.38368 

9.58511 
.58515 
.58519 
.58523 

.38469 
.38473 
.38476 
.38480 

9.58750 
.58754 
.58758 
.58762 

.38682 
.38685 
.38689 
.38693 

9.58989 
.58992 
.58996 
.59000 

.38894 
.38898 
.38901 
.38905 

9.59225 
.59229 
.59233 
.59237 

.39107 
.39111 
.39114 
.39118 

20 
19 
18 
17 

+  11^ 

45 
46 
47 

9.58287 
.58291 
.58295 
.58299 

.38371 
.38375 

.38378 
.38383 

9.58527 
.58531 
.58535 
.58539 

.38483 

.38487 
.38490 
.38494 

9.58766 
.58770 

.58774 
.58778 

.38696 
.38699 
.38703 
.38706 

9.59004 
.59008 
.59012 
.59016 

.38908 
.38913 
.38915 
.38919 

9.59241 
.59245 
.59249 
.59253 

.39131 
.39135 
.39138 
.39133 

16 
15 
14 
IS 

+    ir 

49 
50 
51 

9.58303 
.58307 
.58311 
.58315 

.38385 
.38389 
.38393 
.38396 

9.58543 
.58547 
.58551 
.58555 

.38498 
.38501' 
.38505 
.38508 

9.58782 
.58786 
.58790 
.58794 

.38710 
.38713 
.38717 
.38731 

9.59020 
.59024 
.59028 
.59032 

.38933 
.38936 
.38930 
.38933 

9.59257 
.59261 
.59265 
.59269 

.39135 
.39139 
.39143 
.39146 

12 

11 

10 

9 

+  13^ 

53 
54 
55 

9.58319 
.58323 
.58327 
.58331 

.38399 
.38303 
.38307 
.38310 

9.58559 
.58563 
.58567 
.58571 

.38513 
.38515 
.38519 
.38533 

9.58798 
.58802 
.58806 
.58810 

.38734 
.38738 
.38731 
.38735 

9.59036 
.59040 
.59044 
.59048 

.38937 
.38940 
.38944 
.38947 

9.59273 
.59277 
.59281 
.59285 

.39150 
.39153 
.39157 
.39160 

8 
4 

6 
5 

+    W 

57 
58 
59 

9.58335 
.58339 
.58343 
.58347 

.38314 
.38317 
.38321 
.38334 

9.58575 
.58579 
.58583 

.58587 

.38536 
.38539 
.38533 
.38536 

9.58814 
.58818 
.58822 
.58826 

.38738 

.38743 
.38745 
.38749 

9.59052 
.59056 
.59060 
.59064 

.38951 
.38954 
.38958 
.38963 

9.59289 
.59292 
.59296 
.59300 

.39164 
.39167 
.39171 
.39174 

4 
3 

2 

+  W 

9.58351 

.38338 

9.58591 

.38540 

9.58830 

.38753 

9.59068 

.38965 

9.59304 

.39178 

0 

18^  54"» 

18^ 53m 

18^  52m 

18h  oim 

18h  50m 

Page  106]                  TABLE  IV. 

naversines. 

s 

5fe  iO™  77°  30' 

5fe  nm  77°  45' 

5h  12m  78°  C 

5A  13m  78°  15' 

5h  14m  78°  30' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
3 

9.59304 
.59308 
.59312 
.59316 

.39178 
.39183 
.39185 
.39189 

9.59540 
..59544 
.59548 
.59552 

.39391 
.39395 
.39398 
.39402 

9.59774 
.59778 
.59782 
.59786 

.39604 
.39608 
.39612 
.39615 

9.60008 
.60012 
.60016 
.60020 

.39818 
.39821 
.39825 
.39829 

9.60240 
.60244 
.60248 
.60252 

.40032 
.40035 
.40039 
.40042 

60 
59 

58 
57 

+    r 

5 

6 

7 

9.59320 
.59324 
.59328 
.59332 

.39193 
.39196 
.39199 
.39203 

9.59556 
.59559 
.59563 
.59567 

.39405 
.39409 
.39412 
.39416 

9.59790 
.59794 
.59798 
.59802 

.39619 
.39622 
.39626 
.39629 

9.60023 
.60027 
.60031 
.60035 

.39832 
.39836 
.39839 
.39843 

9.60256 
.60260 
.60263 
.60267 

.40046 
.40049 
.40053 
.40057 

56 
55 
54 
53 

+   3' 

9 

10 

11 

9.59336 
.59340 
.59344 
.59348 

.39206 
.39210 
.39214 
.39317 

9.59571 
.59575 
.59579 
.59583 

.39420 
.39423 

.39427 
.39430 

9.59806 
.59809 
.59813 
.59817 

.39633 
.39636 
.39640 
.39644 

9.60039 
.60043 
.60047 
.60051 

.39846 
.39850 
.39854 
.39857 

9.60271 
.60275 
.60279 
.60283 

.40060 
.40064 
.40067 
.40071 

52 
51 

50 

4a 

48 
47 
46 
45 

+     3' 

13 
14 
15 

9.59351 
.59355 
.59359 
.59363 

.39221 
.39224 
.39238 
.39331 

9.59587 
.59591 
.59595 
.59599 

.39434 
.39437 
.39441 
.39444 

9.59821 
.59825 
.59829 
.59833 

.39647 
.39651 
.39654 
.39658 

9.60054 
.60058 
.60062 
.60066 

.39861 
.39884 
.39868 
.39871 

9.60287 
.60291 
.60294 
.60298 

.40074 
.40078 
.40081 
.40085 

+   4' 
17 
18 
19 

9.59367 
.59371 
.59375 
.59379 

.39335 
.39338 
.39242 
.39245 

9.59602 
.59606 
.59610 
.59614 

.39448 
.39451 
.39455 
.39459 

9.59837 
.59841 
.59845 
.59848 

.39661 
.39665 
.39668 
.39672 

9.60070 
.60074 
.60078 
.60082 

.39875 
.39878 
.39882 
.39886 

9.60302 
.60306 
.60310 
.60314 

.40089 
.40092 
.40096 
.40099 

U 
43 
42 
41 

+  5' 
21 
22 
23 

9.59383 
.59387 
.59391 
.59395 

.39249 
.39253 
.39256 
.39260 

9..59618 
.59622 
.59626 
.59630 

.39462 
.3946G 
.39469 
.39473 

9.59852 
.59856 
.59860 
.59864 

.39676 
.39679 
.39683 
.39686 

9.60085 
.60089 
.60093 
.60097 

.39889 
.39893 
.39896 
.39900 

9.60318 
.60321 
.60325 
.60329 

.40103 
.40106 
.40110 
.40114 

40 
39 
38 
37 

+      ^ 

25 

26     5 
27 

9.59399 
.59403 

(  .59406 
.59410 

.39263 
.39267 
.39270 
.39274 

9.59634 
.59638 
.59642 
.59646 

.39476 
.39480 
.39484 
.39487 

9.59868 
.59872 
.59876 
.59880 

.39890 
.39693 
.39697 
.39700 

9.60101 
.60105 
.60109 
.60113 

.39903 
.39907 
.39910 
.39914 

9.60333 
.60337 
.60341 
.60345 

.40117 
.40121 
.40124 
.40128 

36 
35 
34 
33 

+   y 

29 
30 
31 

9.59414 
.59418 
.59422 
.59426 

.39277 
.39281 
.39285 
.39288 

9.59649 
.59653 
.59657 
.59661 

.39491 
.39494 
.39498 
.39501 

9.59883 
.59887 
.59891 
.59895 

.39704 
.39708 
.39711 
.39715 

9.60116 
.60120 
.60124 
.60128 

.39918 
.39921 
.39925 
.39928 

9.60348 
.60352 
.60356 
.60360 

.40131 
.40135 
.40139 
.40142 

32 
31 
30 
29 

+  8' 

33 
34 
35 

9.59430 
.59434 
.59438 
.59442 

.39292 
.39295 
.39299 
.39302 

9.59665 
..59669 
.59673 
.59677 

.39505 
.39508 
.39512 
.39516 

9.59899 
.59903 
.59907 
.59911 

.39718 
.39722 
.39725 
.39729 

9.60132 
.60136 
.60140 
.60144 

.39932 
.39935 
.39939 
.39943 

9.60364 
.60368 
.60372 
.60375 

.40146 
.40149 
.40153 
.40156 

28 

27 
26 
25 

+  9^ 

37 
38 
39 

9.59446 
.59450 
.59454 
.59458 

.39306 
.39309 
.39313 
.39317 

9.59681 
.59685 
.59688 
.59692 

.39519 
.39523 
.39526 
.39530 

9.59915 
.59918 
.59922 
.59926 

.39733 
.39736 
.39739 
.39743 

9.60147 
.60151 
.60155 
.60159 

.39946 
.39950 
.39953 
.39957 

9.60379 
.60383 
.60387 
.60391 

.40160 
.40163 
.40167 
.40171 

24 

23 
22 
21 

+  W 

41 
42 
43 

9.59461 
.59465 
.59469 
.59473 

.39330 
.39324 
.39327 
.39331 

9.59696 
.59700 
.59704 
.59708 

.39533 
.39537 
.39540 
.39544 

9.59930 
.59934 
.59938 
.59942 

.39746 
.39750 
.39754 
.39757 

9.60163 
.60167 
.60171 
.60175 

.39960 
.39964 
.39967 
.39971 

9.60395 
.60399 
.60402 
.60406 

.40174 
.40178 
.40181 
.40185 

20 
19 
18 
17 

+  11' 

45 
46 
47 

9.59477 
.59481 
.59485 
.59489 

.39334 
.39338 
.39341 
.39345 

9.59712 
.59716 
.59720 
.59724 

.39548 
.39551 
.39555 
.39558 

9.59946 
.59950 
.59953 
.59957 

.39761 
.39765 
'39768 
.39772 

9.60178 
.60182 
.60186 
.60190 

.39975 
.39978 
.39982 
.39985 

9.60410 
.60414 
.60418 
.60422 

.40188 
.40192 
.40196 
.40199 

16 

15 
14 
13 

+  12' 

49 
50 
51 

9.59493 

.59497 
.59501 
.59505 

.39348 
.39352 
.39356 
.39359 

9.59728 
.59731 
.59735 
.59739 

.39562 
.39565 
.39569 
.39572 

9.59961 
.59965 
.59969 
.59973 

.39775 
.39779 
.39782 
.39786 

9.60194 
.60198 
.60202 
.60206 

.39989 
.39992 
.39996 
.40000 

9.60426 
.60429 
.60433 
.60437 

.40203 
.40206 
.40210 
.40213 

12 

11 

10 

9 

+  13' 

53 
54 
55 

9.59508 
.59512 
..59516 
.59520 

.39363 
.39366 
.39370 
.39373 

9.59743 
.59747 
.59751 
.59755 

.39576 
.39580 
.39583 
.39587 

9.59977 
.59981 
.59985 
.59988 

.39789 
.39793 
.39796 
.39800 

9.60209 
.60213 
.60217 
.60221 

.40003 
.40007 
.40010 
.40014 

9.60441 
.60445 
.60449 
.60452 

.40217 
.40220 
.40224 
.40238 

8 
7 
6 
5 

4 
3 
2 
1 

+  14' 

.57 

59 

9.59524 
.59528 
.59532 
.59536 

.39377 
.39380 
.39384 

.39388 

9.59759 
.59763 
.59767 
.59770 

.39590 
.39594 
.39597 
.39601 

9.59992 
.59996 
.60000 
.60004 

.39803 
.39807 
.39811 
.39814 

9.60225 
.60229 
.60233 
.60236 

.40017 
.40021 
.40034 
.40038 

9.60456 
.60460 
.60464 
.60468 

.40231 
v40335 
.40238 
.40242 

+  15' 

9.59540 

.39391 

9.59774 

.39604 

9.60008 

.39818 

9.60240 

.40033 

9.60472   .40345 

0 

18^ 49m 

18^  48^ 

isn  4Tm 

18h  46m 

18fi45m 

TABLE  IV.                  [Page  107 
Haversines. 

s 

5  A  J.5m  78°  45' 

ofi  16^  79°  0' 

5h  17m  790  15' 

5h  ISm  79°  30' 

5h  19m  79°  iy 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav 

Log.  Hav 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 

1 
2 
3 

9.60472 
.60476 
.60479 
.60483 

.40345 
.40249 
.40253 
.40256 

9.60702 
.60706 
.60710 
.60714 

.40460 
.40483 
.40467 
.40470 

9.60931 
.60935 
.60939 
.60943 

.40674 
.40677 
.40681 
.40885 

9.61160 
.61164 
.61167 
.61171 

.40888 
.40893 
.40895 
.40899 

9.61387 
.61391 
.61395 
.61399 

.41103 
.41106 
.41110 
.41114 

60 
59 
58 
57 

+   1' 

5 
6 

7 

9.60487 
.60491 
.60495 
.60499 

.40280 
.40283 
.40387 
.40270 

9.60717 
.60721 
.60725 
.60729 

.40474 
.40477 
.40481 
.40485 

9.60947 
.60951 
.60954 
.60958 

.40888 
.40692 
.40695 
.40899 

9.61175 
.61179 
.61183 
.61186 

.40903 
.40906 
.40910 
.40913 

9.61402 
.61406 
.61410 
.61414 

.41117 
.41121 
.41124 
.41128 

56 

55 
54 
53 

+  ^ 

9 

10 

11 

9.60502 
.60506 
.60510 
.60514 

,40274 
.40277 
.40281 
.40285 

9.60733 
.60737 
.60740 
.60744 

.40488 
.40493 
.40495 
.40499 

9.60962 
.60966 
.60970 
.60973 

.40702 
.40708 
.40710 
.40713 

9.61190 
.61194 
.61198 
.61202 

.40917 
.40930 
.40934 
.40938 

9.61417 
.61421 
.61425 
.61429 

.41131 
.41135 
.41139 
.41143 

52 
51 
50 
49 

+  3' 

IS 
14 

15 

9.60518 
.60522 
.60526 
.60529 

.40288 
.40393 
.40295 
.40299 

9.60748 
.60752 
.60756 
.60760 

.40502 
.40506 
.40510 
.40513 

9.60977 
.60981 
.60985 
.60989 

.40717 
.40720 
.40724 
.40727 

9.61205 
.61209 
.61213 
.61217 

.40931 
.40935 
.40938 
.40943 

9.61433 
.61436 
.61440 
.61444 

.41146 
.41149 
.41153 
.41156 

48 
47 
46 
45 

+      i' 
17 
18 
19 

9.60533 
.60537 
.60541 
.60545 

.40303 
.40306 
.40310 
.40313 

9.60763 
.60767 
.60771 
.60775 

.40517 
.40520 
.40524 
.40537 

9.60992 
.60996 
.61000 
.61004 

.40731 
.40735 

.40738 
.40743 

9.61221 
.61224 
.61228 
.61232 

.40945 
.40949 
.40953 
.40956 

9.61448 
.61451 
.61455 
.61459 

.41160 
.41164 
.41167 
.41171 

U 
43 
42 
41 

+      5' 
21 
22 
23 

9.60549 
.60552 
.60556 
.60560 

.40317 
.40320 
.40324 
.40338 

9.60779 
.60783 
.60786 
.60790 

,40531 
.40535 
.40538 
.40543 

9.61008 
.61012 
.61015 
.61019 

.40745 
.40749 
'40753 
.40756 

9.61236 
.61240 
.61243 
.61247 

.40980 
.40963 
.40967 
.40970 

9.61463 
.61467 
.61470 
.61474 

.41174 
.41178 
.41183 
.41185 

40 
39 
38 
37 

+      6' 

25 
26 
27 

9.6056^ 
.60568 
.60572 
.60576 

.40331 
.40335 
.40338 
.40343 

9.60794 
.60798 
.60802 
.60805 

.40545 
.40549 
.40553 
.40556 

9.61023 
.61027 
.61031 
.61034 

.40760 
.40763 
.40767 
.40770 

9.61251 
.61255 
.61258 
.61262 

.40974 
.40978 
.40981 
.40985 

9.61478 
.61482 
.61485 
.61489 

.41189 
.41193 
.41198 
.41199 

36 

35 
34 
33 

+    r 

29  • 

30  1 

31  ' 

9.60579 
.60583 
.60587 
.60591 

.40345 
.40349 
.40353 
.40356 

9.60809 
.60813 
.60817 
.60821 

.40560 
.40563 
.40567 
.40570 

9.61038 
.61042 
.610i6 
.61050 

.40774 
.40777 
.40781 
.40785 

9.61266 
.61270 
.61274 
.61277 

.40988 
.40993 
.40996 
.40999 

9.61493 
.61497 
.61500 
.61504 

.41303 
.41307 
.41310 
.41314 

32 

sli 

30 
29 

+  8" 

33  - 

34  ' 

35  ' 

9.60595 
.60599 
.60602 
.60606 

.40360 
.40363 
.40367 
.40370 

9.60825 
.60828 
.60832 
.60836 

.40574 
.40577 
.40581 
.40585 

9.61053 
.61057 
.61061 
.61065 

.40788 
.40793 
.40795 
.40799 

9.61281 
.61285 
.61289 
.61293 

.41003 
.41006 
.41010 
.41013 

9.61508 
.61512 
.61516 
.61519 

.41317 
.41331 
.41225 
.41228 

28 

27 
26 
25 

+   9^ 

37   - 

38 

39 

9.60610 
.60614 
.60618 
.60622 

.40374 
.40377 
.40381 
.40385 

9.60840 
.60844 
.60847 
.60851 

.40588 
.40593 
.40595 
.40599 

9.61069 
.61072 
.61076 
.61080 

.40803 
.40806 
.40810 
.40813 

9.61296 
.61300 
.61304 
.61308 

.41017 
.41031 
.41024 
.41028 

9.61523 
.61527 
.61531 
.61534 

.41333 
.41335 
.41339 
.41343 

24 
23 
22 
21 

+  1(K 

42 
43   ' 

9.60625 
.60629 
.60633 
.60637 

.40388 
.40393 
.40395 
.40399 

9.60855 
.60859 
.60863 
.60867 

.40603 
.40606 
.40610 
.40613 

9.61084 
.61088 
.61091 
.61095 

.40817 
.40820 
.40834 
.40827 

9.61312 
.61315 
.61319 
.61323 

.41031 
.41035 
.41039 
.41042 

9.61538 
.61542 
.61546 
.61549 

.41346 
.41250 
.41253 
.41257 

20 
19 
18 
17 

+  11' 

45 
46 
47 

9.60641 
.60645 
.60648 
.60652 

.40402 
.40406 
.40410 
.40413 

9.60870 
.60874 
.60878 
.60882 

.40817 
.40620 
.40634 
.40637 

9.61099 
.61103 
.61107 
.61110 

.40831 
.40835 
.40838 
.40842 

9.61327 
.61330 
.61334 
.61338 

.41046 
.41049 
.41053 
.41056 

9.61553 
.61557 
.61561 
.61565 

.41280 
.41264 
.41267 
.41371 

16 
15 
14 
13 

+  13' 

49    ' 
50 

51  ■ 

9.60656 
.60660 
.60664 
.60668 

.40417 
.40420 
.40424 
.40427 

9.60886 
.60890 
.60893 
.60897 

.40831 
.40835 
.40838 
.40843 

9.61114 
.61118 
.61122 
.61126 

.40845 
.40849 
.40853 
.40856 

9.61342 
.61346 
.61349 
.61353 

.41060 
.41063 
.41067 
.41071 

9.61568 
.61572 
.61576 
.61580 

.41375 
.41278 
.41382 
.41285 

12 

11 

10 

9 

+    13' 

53 
54 
55 

9.60671 
.60675 
.60679 
.60683 

.40431 
.40434 
.40438 
.40442 

9.60901 
.60905 
.60909 
.60912 

.40845 
.40649 
.40652 
.40656 

9.61129 
.61133 
.61137 
.61141 

.40880 
.40863 
.40887 
.40870 

9.61357 
.61361 
.61364 
.61368 

.41074 
.41078 
.41082 
.41085 

9.61583 
.61587 
.61591 
.61595 

.41289 
.41293 
.41298 
.41300 

8 
7 
6 
5 

4 
3 

2 
1 

+  14' 

57  ■' 

55 

59 

9.60687 
.60691 
.60694 
.60698 

.40445 
.40449 
.40453 
.40456 

9.60916 
.60920 
.60924 
.60928 

.40660 
.40683 
.40867 
.40670 

9.61145 
.61148 
.61152 
.61156 

.40874  i 
.40878 
.40881 
.40885 

9.61372 
.61376 
.61380 
.61383 

.41089 
.41092 
.41096 
.41099 

9.61598 
.61602 
.61606 
.61610 

.41303 
.41307 
.41310 
.41314 

+  15' 

9.60702 

.40460 

9.60931 

.40674 

9.61160 

.40888 

9.61387 

.41103 

9.61614 

.41318 

0 

18^  44""         1 

ISh  43m 

18h  42^         1 

18h  4im 

18h  40^         1 

Page  108]                  TABLE  IV. 

Haversines. 

s 

Sh  20m  80°  (K 

5h  2im  80°  15' 

5h  22m  80°  30' 

5h  23m  80°  45' 

5h  24^  81°  0' 

s 

Log.  Hav 

Nat.  Hav 

Log.  Hav. 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav. 

0 
1 
2 
3 

9.61614 
.61617 
.61621 
.61625 

.41318 
.41331 
.41335 
.41338 

9.61839 
.61843 
.61846 
.61850 

.41533 
.41536 
.41540 
.41543 

9.62063 
.62067 
.62071 
.62074 

.41748 
.41751 
.41755 
.41758 

9.62287 
.62290 
.62294 
.62298 

.41963 
.41966 
.41970 
.41974 

9.62509 
.62513 
.62516 
.62520 

.43178 
.43183 
.43185 
.43189 

60 
59 
58 
57 

+    r 

5 
6 
7 

9.61629 
.61632 
.61636 
.61640 

.41333 
.41335 
.41339 
.41343 

9.61854 
.61858 
.61861 
.61865 

.41547 
.41550 
.41554 
.41558 

9.62078 
.62082 
.62086 
.62089 

.41763 
.41766 
.41769 
.41773 

9.62301 
.62305 
.62309 
.62313 

.41977 
.41981 
.41984 
.41988 

9.62524 
.62527 
.62531 
.62535 

.43193 
.43196 
.43300 
.43303 

56 
55 
54 
53 
52 
51 
50 
49 
48 
47 
46 
45 

+     2' 

9 

10 

11 

9.61644 
.61647 
.61651 
.61655 

.41346 
.41350 
.41353 
.41357 

9.61869 
.61873 
.61876 
.61880 

.41661 
.41565 
.41568 
.41573 

9.62093 
.62097 
.62100 
.62104 

.41776 
.41780 
.41783 

.41787 

9.62316 
.62320 
.62324 
.62327 

.41993 
.41995 
.41999 
.43003 

9.62538 
.62542 
.62546 
.62550 

.43307 
.43311 
.43314 
.43218 

+   3^ 

13 
14 
15 

9.61659 
.61662 
.61666 
.61670 

.41361 
.41364 
.41368 
.413?! 

9.61884 
.61888 
.61891 
.61895 

.41576 
.41579 
.41583 
.41586 

9.62108 
.62112 
.62115 
.62119 

9.62123 
.62127 
.62130 
.62134 

.41791 
.41794 

.41798 
,41801 

9.62331 
.62335 
.62338 
.62342 

.43006 
.43010 
.43013 
.43017 

9.62553 
.62557 
.62561 
.62564 

.43231 
.43335 
.43339 
.43333 

+   4' 
17 
18 
19 

9.61674 
.61677 
.61681 
.61685 

.41375 
.41378 
.41383 
.41386 

9.61899 
.61903 
.61906 
.61910 

.41590 
.41593 
.41597 
.41601 

.41805 
.41809 
.41813 
.41816 

9.62346 
.62350 
.62353 
.62357 

.43030 
.43034 
.43037 
.43031 

9.62568 
.62572 
.62575 
.62579 

.43336 
.43339 
.43343 
.43347 

44 
43 
42 
41 

+   5^ 
21 

22 
23 

9.61689 
.61692 
.61696 
.61700 

.41389 
.41393 
.41396 
.41400 

9.61914 
.61917 
.61921 
.61925 

.41604 
.41608 
.41611 
.41615 

9.62138 
.62141 
.62145 
.62149 

.41819 
.41833 
.41837 
.41830 

9.62361 
.62364 
.62368 
.62372 

.43035 
.43038 
.43043 
.43045 
.43049 
.43053 
.43056 
.43060 

9.62583 
.62586 
.62590 
.62594 

.43350 
.43354 
.43357 
.43361 

40 
39 
38 
37 

+      6' 

25 
26 

27 

9.61704 
.61708 
.61711 
.61715 

.41404 
.41407 
.41411 
.41414 

9.61929 
.61932 
.61936 
.61940 

.41619 
.41633 
.41626 
.41639 

9.62153 
.62156 
.62160 
.62164 

.41834 
.41837 
.41841 
.41844 

9.62376 
.62379 
.62383 
.62387 

9.62598 
.62601 
.62605 
.62609 

.43364 
.43268 
.42272 

.43375 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.61719 
.61723 
.61726 
.61780 

.41418 
.41431 
.41435 
.41439 

9.61944 
.61947 
.61951 
.61955 

.41633 
.41636 
.41640 
.41644 

9.62168 
.62171 
.62175 
.62179 

.41848 
.41853 
.41855 
.41859 

9.62390 
.62394 
.62398 
.62402 

.43063 
.43067 
.43071 
.43074 

9.62612 
.62616 
.62620 
.62623 

.43379 
.43383 

.43386 
.42290 

32 
31 
SO 
29 

+     8^ 
33 
34 
35 

9.61734 
.61738 
.61741 
.61745 

.41433 
.41436 
.41439 
.41443 

9.61959 
.61962 
.61966 
.61970 

.41647 
.41651 
.41654 
.41658 

9.62182 
.62186 
.62190 
.62194 

.41863 
.41866 
.41870 
.41873 

9.62405 
.62409 
.62413 
.62416 

.43078 
.43081 
.43085 
.43089 

9.62627 
.62631 
.62634 
.62638 

.43393 
.43397 
.43309 
.43304 

28 
27 
26 
25 

+   9^ 

37 
38 
39 

9.61749 
.61753 
.61756 
.61760 

.4144^ 
.41450 
.41454 
.41457 

9.61974 
.61977 
.61981 
.61985 

.41663 
.41665 
.41669 
.41673 

9.62197 
.62201 
.62205 
.62208 

.41877 
.41880 
.41884 
.41888 

9.62420 
.62424 
.62427 
.62431 

.43093 
.43096 
.43099 
.43103 

9.62642 
.62646 
.62649 
.62653 

.43308 
.43311 
.43315 
.43318 

24 
23 
22 
21 

+  W 

41 
42 
43 

9.61764 
.61768 
.61771 
.61775 

.41461 
.41464 
.41468 
.41473 

9.61989 
.61992 
.61996 
.62000 

.41676 
.41679 
.41683 
.41687 

9.62212 
.62216 
.62220 
.62223 

.41891 
.41895 

.41898 
.41903 

9.62435 
.62439 
.62442 
.62446 

.43106 
.43110 
.43114 
.43117 

9.62657 
.62660 
.62664 
.62668 

.43333 
.43336 
,43339 
.43333 

20 
19 
18 
17 

+  ir 

45 
46 
47 

9.61779 

.61783 
.61786 
.61790 

.41475 
.41479 

.41483 
.41486 

9.62003 
.62007 
.62011 
.62015 

.41690 
.41694 
.41697 
.41701 

9.62227 
.62231 
.62234 
.62238 

.41905 
.41909 
.41913 
.41916 

9.62450 
.62453 
.62457 
.62461 

.43131 
.43134 
.43138 
.43133 

9.62671 
.62675 
.62679 
.62682 

.43336 
.43340 
.43344 
.43347 

16 
15 
14 
13 

+    VA" 

49 
50 
51 

9.61794 
.61798 
.61801 
.61805 

.41490 
.41493 
.41497 
.41500 

9.62018 
.62022 
.62026 
.62030 

.41705 
.41708 
.41713 
.41715 

9.62242 
.62246 
.62249 
.62253 

.41930 
.41933 
.41937 
.41931 

9.62464 
.62468 
.62472 
.62476 

.43135 
.43139 
.43143 
.43146 

9.626S6 
.62690 
.62693 
.62697 

.43351 
.43354 
.43358 
.43361 

12 

11 

10 

9 

+  l3^ 

53 
54 

55 

9.61809 
.61813 
.61816 
.61820 

.41504 
.41507 
.41511 
.41515 

9.62033 
.62037 
.62041 
.62045 

.41719 
.41733 
.41736 
.41730 

9.62257 
.62261 
.62264 
.62268 

.41934 
.41938 
.41941 
.41945 

9.62479 
.62483 
.62487 
.62490 

.43150 
.43153 
.43157 
.43160 

9.62701 
.62704 
.62708 
.62712 

.43365 
.43369 
.43373 
.43376 

8 
7 
6 
5 

+  14' 

57 
58 
59 

9.61824 
.61828 
.61831 
.61835 

.41518 
.41533 
.41535 
.41539 

9.62048 
.62052 
.62056 
.62059 

.41733 
.41737 
.41740 
.41744 

9.62272 
.62275 
.62279 
.62283 

.41949 
.41953 
.41956 
.41959 

9.62494 
.62498 
.62501 
.62505 

.43164 
.43168 
.43171 
.43175 

9.62716 
.62719 
.62723 
.62727 

.43379 
.43383 
.43387 
.43390 

4 
3 
2 
1 

+  W 

9.61839 

.41533 

9.62063 

.41748 

9,62287 

.41963 

9.62509 

.43178 

9.62730 

.43394 

0 

18h39m    '      1 

IS^SSm          1 

18h  37m         1 

ISft  S6m 

18fi  S5m         1 

TABLE  IV.                  [Page  109 
Haversinea. 

s 

5ft  f  5m  81°  15' 

5h  26m  81°  30' 

5h  ojm  81°  45' 

5h  2ST^  82°  0' 

5h  29m  82°  15' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav 

Nat.  Hav. 

0 
1 
2 
S 

9.62730 
.62734 
.62738 
.62741 

.42394 
.42397 
.42401 
.42405 

9.62951 

.62954 
.62958 
.62962 

.42610 
.42613 
.42617 
.42620 

9.63170 
.63174 
.63177 
.63181 

.42825 
.42839 
.42833 
.42836 

9.63389 
.63392 
.63396 
.63399 

.43041 
.43045 
.43049 
.43052 

9.63606 
.63610 
.63613 
.63617 

.43257 
.43261 
.43265 
.43268 

60 
59 
58 
57 

+  V 

5 
6 
7 

9.62745 
.62749 
.62752 
.62756 

.42408 
.42412 
.42415 
.42419 

9.62965 
.62969 
.62973 
.62976 

.42624 
.42628 
.42631 
.42635 

9.63185 
.63188 
.63192 
.63196 

.42840 
.42843 
.42847 
.42851 

9.63403 
.63407 
.63410 
.63414 

.43056 
.43059 
.43063 
.43067 

9.63621 
.63624 
.63628 
.63631 

.43272 
.43275 
.43279 
.43283 

56 
55 
54 
53 

+     V 

9 

10 

11 

9.62760 
.62763 
.62767 
.62771 

.42423 
.42426 
.42430 
.42433 

9.62980 
.62984 
.62987 
.62991 

.42638 
.42642 
.42645 
.42649 

9.63199 
.63203 
.63207 
.63210 

.42854 

.42858 
.42861 
.42865 

9.63418 
.63421 
.63425 
.63429 

.43070 
.43074 
.43077 
.43081 

9.63635 
.63639 
.63642 
.63646 

.43286 
.43290 
.43293 
.43297 

52 
51 
50 
49 

+     3' 

13 
14 
15 

9.62774 
.62778 
.62782 
.62785 

.42437 
.42441 
.42444 
.42448 

9.62995 
.62998 
.63002 
.63006 

.42653 
.42656 
.42660 
.42663 

9.63214 
.63218 
.63221 
.63225 

.42869 
.42872 
.42876 
.42879 

9.63432 
.63436 
.63439 
.63443 

.43085 

.43988 
.43092 
.43095 

9.63649 
.63653 
.63657 
.63660 

.43301 
.43304 
.43308 
.43312 

48 
47 
46 

45 

+  4' 
17 
18 
19 

9.62789 
.62793 
.62796 
.62800 

.42451 
.42455 
.42459 
.42462 

9.63009 
.63013 
.63017 
.63020 

.42667 
.42671 
.42674 
.42678 

9.63228 
.63232 
.63236 
.63239 

.42883 
.42887 
.42890 
.42894 

9.63447 
.63450 
.63454 
.63458 

.43099 
.43103 
.43106 
.43110 

9.63664 
.63668 
.63671 
.63675 

.43315 
.43319 
.43322 
.43326 

44 
43 
42 
41 

+  5' 
21 
22 
23 

9.62804 
.62808 
.62811 
.62815 

.42466 
.42469 
.42473 
.42477 

9.63024 
.63028 
.63031 
.63035 

.42681 
.42685 
.42689 
.42692 

9.63243 
.63247 
.63250 
.63254 

.42897 
.42901 
.42905 
.42908 

9.63461 
.63465 
.63468 
.63472 

.43113 
.43117 
.43121 
.43124 

9.63678 
.63682 
.63686 
.63689 

.43330 
.43333 
.43337 
.43340 

40 
39 
38 
37 
36 
35 
34 
33 
32 
31 
30 
29 

+      6' 

25 
26 

27 

9.62819 
.62822 
.62826 
.62830 

.42480 
.42484 
.42487 
.42491 

9.63039 
.63042 
.63046 
.63050 

.42696 
.42699 
.42703 
.42707 

9.63258 
.63261 
.63265 
.63269 

.42912 
.42915 
.42919 
.42923 

9.63476 
.63479 
.63483 
.63487 

.43128 
.43131 
.43135 
.43139 

9.63693 
.63696 
.63700 
.63704 

.43344 
.43348 
.43351 
.43355 

+    r 

29 
30 

31 

9.62833 
.62837 
.62841 
.62844 

.42494 
.42498 
.42502 
.42505 

9.63063 
.63057 
.63061 
.63064 

.42710 
.42714 
.42717 
.42721 

9.63272 
.63276 
.63279 
.63283 

.42926 
.42930 
.42933 
.42937 

9.63490 
.63494 
.63497 
.63501 

.43142 
.43146 
.43149 
.43153 

9.63707 
.63711 
.63714 
.63718 

.43358 
.43362 
.43366 
.43369 

+  8' 
33 
34 
35 

9.62848 
.62852 
.62855 
.62859 

.42509 
.42512 
.42516 
.42520 

9.63068 
.63071 
.63075 
.63079 

.42725 
.42728 
.42732 
.42735 

9.63287 
.63290 
.63294 
.63298 

.42941 
.42944 
.42948 
.42951 

9.63505 
.63508 
.63512 
.63516 

.43157 
.43160 
.43164 
.43167 

9.63722 
.63725 
.63729 
.63733 

.43373 
.43376 
.43380 
.43384 

28 

27 
26 
25 

+  9' 

37 
38 
39 

9.62863 
.62866 
.62870 
.62874 

.42523 
.42527 
.42530 
.42534 

9.63082 
.63086 
.63090 
.63093 

.42739 
.42743 
.42746 
.42750 

9.63301 
.63305 
.63309 
.63312 

.42955 
.42959 
.42962 
.42966 

9.63519 
.63523 
.63526 
.63530 

.43171 
.43175 
.43178 
.43182 

9.63736 
.63740 
.63743 
.63747 

.43387 
.43391 
.43394 
.43398 

24 

23 
22 

Ti 

+  W 

41 
42 
43 

9.62877 
.62881 
.62885 
.62888 

.42538 
.42541 
.42545 
.42548 

9.63097 
.63101 
.63104 
.63108 

.42753 
.42757 
.42761 
.42764 

9.63316 
.63320 
.63323 
.63327 

.42969 
.42973 
.42977 
.42980 

9.63534 
.63537 
.63541 
.63545 

.43185 
.43189 
.43193 
.43196 

9.63751 
.63754 
.63758 
.63761 

.43402 
.43405 
.43409 
.43412 

20 

19 
18 
17 
16 
15 
14 
13 

+  11' 

45 
46 
47 

9.62892 
.62896 
.62899 
.62903 

.42552 
.42556 
.42559 
.42563 

9.63112 
.63115 
.63119 
.63123 

.427«8 
.42771 
.42775 
.42779 

9.63330 
.63334 
.63338 
.63341 

.42984 
.42987 
.42991 
.42995 

9.63548 
.63552 
.63555 
.63559 

.43200 
.43203 
.43207 
.43211 

9.63765 
.63769 
.63772 
.63776 

.43416 
.43420 
.43423 
.43427 

+  ir 

49 
50 
51 

9.62907 
.62910 
.62914 
.62918 

.42566 
.42570 
.42574 
.42577 

9.63126 
.63130 
.63134 
.63137 

.42782 
.42786 
.42789 
.42793 

9.63345 
.63349 
.63352 
.63356 

.42998 
.43002 
.43005 
.43009 

9.63563 
.63566 
.63570 
.63574 

.43214 
.43218 
.43221 
.43225 

9.63779 
.63783 
.63787 
.63790 

.43430 
.43434 
.43438 
.43441 

12 
11 
10 
9 
8 
7 
6 
5 

+  13' 

53 
54 
55 

9.62921 
.62925 
.62929 
.62932 

.42581 
.42584 

.42588 
.42592 

9.63141 
.63145 
.63148 
.63152 

.42797 
.42800 
.42804 
.42807 

9.63360 
.63363 
.63367 
.63370 

.43013 
.43016 
.43020 
.43023 

9.63577 
.63581 
.63584 
.63588 

.43229 
.43232 
.43236 
.43239 

9.63794 
.63797 
.63801 
.63805 

.43445 
.43448 
.43453 
.43456 

+  U' 

57 
58 
59 

9.62936 
.62940 
.62943 
.62947 

.42595 
.42599 
.42602 
.42606 

9.63156 
.63159 
.63163 
.63166 

.42811 
.42815 
.42818 

.42822 

9.63374 
.63378 
.63381 
.63385 

.43027 
.43031 
.43034 
.43038 

9.63592 
.63595 
.63599 
.63602 

.43243 
.43247 
.43250 
.43254 

9.63808 
.63812 
.63815 
.63819 

.43459 
.43463 
.43466 
.43470 

4 
3 

2 

1 

+  15' 

9.62951 

.42610 

9,63170 

.42825 

9.63389 

.43041 

9.63606 

.43257 

9.63823 

.43474 

0 

18^  34"^ 

18^  33m 

18h  32m.         1 

18^  Sim 

18^  SOm         1 

Page  110] 

TABLE  IV. 

Haversines. 

s 

5A  30^  82°  30^ 

5hSim 

82°  45^ 

Sh  32m  83°  0^ 

5h  33m  83°  15^ 

5'iJ4™83°3r  1 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav 

0 

1 
2 
S 

9.63823 
.63826 
.63830 
.63833 

.43474 
.43477 
.43481 
.43485 

9.64038 
.64042 
.64046 
.64049 

.43690 
.43694 
.43697 
.43701 

9.64253 
.64256 
.64260 
.64264 

.43907 
.43910 
.43914 
.43917 

9.64467 
.64470 
.64474 
.64477 

.44123 
.44127 
.44130 
.44134 

9.64679 
.64683 
.64686 
.64690 

.44340 
.44343 
.44347 
.44351 

60 
59 
58 
57 

+    r 

5 
6 

7 

9.63837 
.63841 
.63844 
.63848 

.43488 
.43493 
.43495 
.43499 

9.64053 
.64056 
.64060 
.64063 

.43704 
.43708 
.43712 
.43715 

9.64267 
.64271 
.64274 
.64278 

.43921 
.43925 
.43928 
.43933 

9.64481 
.64484 
.64488 
.64492 

.44138 
.44141 
.44145 
.44148 

9.64694 
.64697 
.64701 
.64704 

.44354 
.44358 
.44362 
.44365 

56 
55 

54 
53 

+  r 

9 

10 

11 

9.63851 
.63855 
.63859 
.63862 

.43503 
.43506 
.43510 
.43513 

9.64067 
.64071 
.64074 
.64078 

.43719 
.43723 
.43726 
.43730 

9.64281 
.64285 
.64289 
.64292 

.43935 
.43939 
.43943 
.43946 

9.64495 
.64499 
.64502 
.64506 

.44152 
.44156 
.44159 
.44163 

9.64708 
.64711 
.64715 
.64718 

.44369 
.44372 
.44376 
.44380 

52 
51 
50 

49 

+  3^ 

13 
14 
15 

9.63866 
.63869 
.63873 
.63877 

.43517 
.43521 
.43534 
.43538 

9.64081 
.64085 
.64088 
.64092 

.43733 
.43737 
.43741 
.43744 

9.64296 
.64299 
.64303 
.64306 

.43950 
.43953 
.43957 
.43961 

9.64509 
.64513 
.64516 
.64520 

.44166 
.44170 
.44174 
.44177 

9.64722 
.64725 
.64729 
.64732 

.44383 
.44387 
.44390 
.44394 

48 

47 
46 
45 

+     *' 
17 
18 
19 

9.63880 
.63884 
.63887 
.63891 

.43531 
.43535 
.43539 
.43543 

9.64096 
.64099 
.64102 
.64106 

.43748 
.43751 
.43755 

.43759 

9.64310 
.64314 
.64317 
.64321 

.43964 
.43968 
.43973 
.43975 

9.64523 
.64527 
.64531 
.64534 

.44181 
.44185 

.44188 
.44192 

9.64736 
.64740 
.64743 
.64747 

.44398 
.44401 
.44405 
.44408 

44 
43 
42 
41 
40 
39 
38 
37 
36 
35 
34 
33 

+      5' 

21 
22 
23 

9.63895 
.63898 
.63902 
.63905 

.43546 
.43549 
.43553 
.43557 

9.64110 
.64113 
.64117 
.64121 

.43762 
.43766 
.43769 
.43773 

9.64324 
.64328 
.64331 
.64335 

.43979 
.43982 
.43986 
.43990 

9.64538 
.64541 
.64545 
.64548 

.44195 
.44199 
.44203 
.44306 

9.64750 
.64754 
.64757 
.64761 

.44413 
.44416 
.44419 
.44433 

+      6' 

25 
26 
27 

9.63909 
.63913 
.63916 
.63920 

.43560 
.43564 
.43567 
.43571 

9.64124 
.64128 
.64131 
.64135 

.43777 

.43780 
.43784 

.43787 

9.64339 
.64342 
.64346 
.64349 

.43993 
.43997 
.44000 
.44004 

9.64552 
.64555 
.64559 
.64563 

.44310 
.44313 
.44217 
.44221 

9.64764 
.64768 
.64771 
.64775 

.44427 
.44430 
.44434 
.44437 

+    r 

29 
30 
31 

9.63923 
.63927 
.63931 
.63934 

.43575 
.43578 
.43583 
.43585 

9.64139 
.64142 
.64146 
.64149 

.43791 
.43795 
.43798 
.43802 

9.64353 
.64356 
.64360 
.64363 

.44008 
.44011 
.44015 
.44018 

9.64566 
.64570 
.64573 
.64577 

.44234 
.44338 
.44331 
.44335 

9.64778 
.64782 
.64785 
.64789 

.44441 
.44445 
.44448 
.44452 

32 
31 
30 
29 

+      8^ 

33 
34 
35 

9.63938 
.63941 
.63945 
.63949 

.43589 
.43593 
.43596 
.43600 

9.64153 
.64156 
.64160 
.64164 

.43805 
.43809 
.43813 
.43816 

9.64367 
.64371 
.64374 
.64378 

.44022 
.44026 
.44029 
.44033 

9.64580 
.64584 
.64587 
.64591 

.44239 
.44242 
.44246 
.44250 

9.64793 
.64796 
.64800 
.64803 

.44455 
.44459 
.44463 
.44466 

28 

27 
26 

25 

+  9^ 

37 
38 
39 

9.63952 
.63956 
.63959 
.63963 

.43603 
.43607 
.43611 
.43614 

9.64167 
.64171 
.64174 
.64178 

.43830 
.43834 

.43827 
.43831 

9.64381 
.64385 
.64388 
.64392 

.44036 
.44040 
.44044 
.44047 

9.64594 
.64598 
.64602 
.64605 

.44253 
.44257 
.44260 
.44264 

9.64807 
.64810 
.64814 
.64817 

.44470 
.44474 
.44477 
.44481 

24 
23 
22: 
21 

+  W 

41 
42 
43 

9.63966 
.63970 
.63974 
.63977 

.43618 
.43633 
.43635 
.43639 

9.64181 
.64185 
.64189 
.64192 

.43834 
.43838 
.43842 
.43845 

9.64396 
.64399 
.64403 
.64406 

.44051 
.44055 
.44058 
.44062 

9.64609 
.64612 
.64616 
.64619 

.44268 
.44271 
.44275 

.44378 

9.64821 
.64824 
.64828 
.64831 

.44484 

.44488 
.44492 
.44495 

20 
19 
18 
17 

+  ir 

45 
46 

47 

9.63981 
.63984 
.63988 
.63992 

.43633 
.43636 
.43640 
.43643 

9.64196 
.64199 
.64203 
.64206 

.43849 
.43852 
.43856 
.43860 

9.64410 
.64413 
.64417 
.64420 

.44065 
.44069 
.44073 
.44076 

9.64623 
.64626 
.64630 
.64633 

.44282 
.44286 
.44389 
.44293 

9.64835 
.64838 
.64842 
.64845 

.44499 
.44502 
.44506 
.44510 

16 
15 
14 
13 
12 
11 
10 
9 

+  n' 

49 
50 
51 

9.63995 
.63999 
.64002 
.64006 

.43647 
.43650 
.43654 
.43658 

9.64210 
.64214 
.64217 
.64221 

.43863 
.43867 
.43870 
.43874 

9.64424 
.64428 
.64431 
.64435 

.44080 
.44083 
.44087 
.44091 

9.64637 
.64640 
.64644 
.64648 

.44296 
.44300 
.44304 
.44307 

9.64849 
.64852 
.64856 
.64860 

.44513 
.44517 
.44521 
.44524 

+    ir 

5S 
54 
55 

9.64010 
.64013 
.64017 
.64020 

.43661 
.43665 
.43668 
.43672 

9.64224 
.64228 
.64231 
.64235 

.43878 
.43881 
.43885 
.43888 

9.64438 
.64442 
.64445 
.64449 

.44094 
.44098 
.44101 
.44105 

9.64651 
.64655 
.64658 
.64662 

.44311 
.44315 
.44318 
.44322 

9.64863 
.64867 
.64870 
.64874 

.44538 
.44531 
.44535 
.44539 

8 
7 
6 
5 

+    1¥ 

57 
58 
59 

9.64024 
.64028 
.64031 
.64035 

.43676 
.43679 
.43683 
.43686 

9.64239 
.64242 
.64246 
.64249 

.43892 
.43896 
.43899 
.43903 

9.64452 
.64456 
.64460 
.64463 

.44109 
.44112 
.44116 
.44120 

9.64665 
.64669 
.64672 
.64676 

.44325 
.44329 
.44333 
.44336 

9.64877 
.64881 
.64884 
.64888 

.44543 
.44546 
.44549 
.44553 

4 
3 
S 
1 

+    15' 

9.64038 

.43690 

9.64253 

.43907 

9.64467 

.44123 

9.64679 

.44340 

9.64891 

.44557 

0 

18h  29m 

18h  28^ 

1811 27m 

18^  26m 

i5ft 

25m 

TABLE  IV. 

Havereinea. 

[Page  111 

s 

5^  35m  83°  45' 

SJi  36m  84°  0' 

5h  sjm  84°  15' 

5h  38m 

84°  30^ 

5hS9m 

84°  45' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 

1 
2 
3 

9.64891 
.64895 
.64898 
.64902 

.44557 
.44560 
.44564 
.44568 

9.65102 
.65106 
.65109 
.65113 

.44774 
.44777 
.44781 
.44784 

9.65312 
.65316 
.65319 
.65323 

.44991 
.44994 
.44998 
.45001 

9.65521 
.65525 
.65528 
.65532 

.45308 
.45311 
.45315 
.45319 

9.65729 
.65733 
.65736 
.65740 

.45435 
.45439 
.45433 
.45436 

60 
59 

58 
57 

+    r 

5 
6 

7 

9.64905 
.64909 
.64912 
.64916 

.44571 
.44575 
.44578 
.44583 

9.65116 
-.65120 
.65123 
.65127 

.44788 
.44793 
.44795 
.44799 

9.65326 
.65330 
.65333 
.65337 

.45005 
.45009 
.45013 
.45016 

9.65535 
.65539 

.65542 
.65546 

.45333 
.45336 
.45339 
.45333 

9.65743 
.65747 
.65750 
.65754 

.45439 
.45443 
.45447 
.45450 

56 
55 
54 
53 

+      It' 

9 

10 

11 

9.64919 
.64923 
.64926 
.64930 

.44586 
.44589 
.44593 
.44596 

9.65130 
.65134 
.65137 
.65141 

.44803 
.44806 
.44810 
.44813 

9.65340 
.65344 
.65347 
.65351 

.45030 
.45033 
.45037 
.45030 

9.65549 
.65553 
.65556 
.65559 

.45337 
.45340 
.45344 
.45348 

9.65757 
.65761 
.65764 
.65767 

.45454 
.45458 
.45461 
.45465 

52 
51 
50 
49 

+  y 

IS 
14 
15 

9.64934 
.64937 
.64941 
.64944 

.44600 
.44604 
.44607 
.44611 

9.65144 
.65148 
.65151 
.65155 

.44817 
.44831 
.44834 

.44838 

9.65354 
.65358 
.65361 
.65365 

.45034 
.45038 
.45041 
.45045 

9.65563 
.65566 
.65570 
.65573 

.45351 
.45335 
.45358 
.45363 

9.65771 

.65774 
.65778 
.65781 

.45468 
.45473 
.45476 
.45479 

48 
47 
46 
45 

+     i' 
17 
IS 
19 

9.64948 
.64951 
.64955 
.64958 

.44614 
.44618 
.44633 
.44635 

9.65158 
.65162 
.65165 
.65169 

.44831 
.44835 
.44839 
.44843 

9.65368 
.65372 
.65375 
.65378 

.45048 
.45053 
.45056 
.45059 

9.65577 
.65580 
.65584 
.65587 

.45366 
.45369 
.45373 
.45376 

9.65785 
.65788 
.65792 
.65795 

.45483 
.45486 
.45490 
.45494 

U 
43 
42 
41 
40 
39 
38 
37 

+      5' 
21 
22 
23 

9.64962 
.64965 
.64969 
.64972 

.44639 
.44633 
.44636 
.44640 

9.65172 
.65176 
.65179 
.65183 

.44846 
.44850 
.44853 
.44857 

9.65382 
.65385 
.65389 
.65392 

.45063 
.45067 
.45070 
.45074 

9.65591 
.65594 
.65598 
.65601 

.45380 
.45384 
.45387 
.45391 

9.65799 
.65802 
.65806 
.65809 

.45497 
.45501 
.45505 
.45508 

+   6' 

25 
26 
27 

9.64976 
.64979 
.64983 
.64986 

.44643 
.44647 
.44651 
.44654 

9.65186 
.65190 
.65193 
.65197 

.44880 
.44864 
.44868 
.44871 

9.65396 
.65399 
.65403 
.65406 

.45077 
.45081 
.45085 
.45088 

9.65605 
.65608 
.65612 
.65615 

.45395 
.45398 
.45303 
.45305 

9.65812 
.65816 
.65819 
.65823 

.4.5513 
.45515 
.45519 
.45533 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.64990 
.64993 
.64997 
.65000 

.44658 
.44661 
.44665 
.44669 

9.65200 
.65204 
.65207 
.65211 

.44875 

.44878 
.44883 
.44886 

9.65410 
.65413 
.65417 
.65421 

.45093 
.45096 
.45099 
.45103 

9.65619 
.65622 
.65625 
.65629 

.45309 
.45313 
.45316 
.45330 

9.65826 
.65830 
.65833 
.65837 

.45536 
.45530 
.45534 
.45537 

32 
31 
30 
29 

+   8' 
33 
34 
85 

9.65004 
.65007 
.65011 
.65014 

.44673 
.44676 
.44680 
.44683 

9.65214 
.65218 
.65221 
.65225 

.44889 
.44893 
.44897 
.44900 

9.65424 
.65427 
.65431 
.65434 

.45106 
.45110 
.45114 
.45117 

9.65632 
.65636 
.65639 
.65643 

.45334 
.45337 
.45331 
.45334 

9.65840 
.65844 
.65847 
.65850 

.45541 
.45544 
.45548 
.45553 

28 
27 
26 
25 

+    r 

37 
38 
39 

9.65018 
.65021 
.65025 
.65028 

.44687 
.44690 
.44694 
.44698 

9.65228 
.65232 
.65235 
.65239 

.44904 
.44907 
.44911 
.44915 

9.65438 
.65441 
.65445 
.65448 

.45131 
.45134 
.45138 
.45133 

9.65646 
.65650 
.65653 
.65657 

.45338 
.45343 
.45345 
.45349 

9.65854 
.65857 
.65861 
.65864 

.45555 
.45559 
.45563 
.45566 

24 
23 
22 
21 

+  1(K 

41 

42 
43 

9.65032 
.65035 
.65039 
.65043 

.44701 
.44705 
.44708 
.44713 

9.65242 
.65246 
.65249 
.65253 

.44918 
.44933 
.44935 
.44939 

9.65452 
.65455 
.65459 
.65462 

.45135 
.45139 
.45143 
.45146 

9.65660 
.65664 
.65667 
.65671 

.45353 
.45356 
.45360 
.45363 

9.65868 
.65871 
.65875 
.65878 

.45570 
.45573 
.45577 
.45581 

20 
19 
18 
17 
16 
15 
14 
IS 

+  11' 

45 
46 

47 

9.65046 
.65050 
.65053 
.65057 

.44716 
.44719 
.44733 
.44737 

9.65256 
.65260 
.65263 
.65267 

.44933 
.44936 
.44940 
.44944 

9.65466 
.65469 
.65473 
.65476 

.45150 
.45153 
.45157 
.45161 

9.65674 
.65677 
.65681 
.65684 

.45367 
.45371 
.45374 
.45378 

9.65881 
.65885 
.65888 
.65892 

.45584 

.45588 
.45593 
.45595 

+  n' 

49 
50 
51 

9.65060 
.65064 
.65067 
.65071 

.44730 
.44734 
.44737 
.44741 

9.65270 
.65274 
.65277 
.65281 

.44947 
.44951 
.44954 
.44958 

9.65480 
.65483 
.65486 
.65490 

.45164 
.45168 
.45173 
.45175 

9.65688 
.65691 
.65695 
.65698 

.45381 
.45385 
.45389 
.45393 

9.65895 
.65899 
.65902 
.65906 

.45599 
.45603 
.45606 
.45610 

12 

11 

10 

9 

+  13' 

53 
54 
55 

9.65074 
.65078 
.65081 
.65085 

.44745 
.44748 
.44753 
.44755 

9.65284 
.65288 
.65291 
.65295 

.44963 
.44965 
.44969 
.44973 

9.65493 
.65497 
.65500 
.65504 

.45179 
.45183 
.45186 
.45190 

9.65702 
.65705 
.65709 
.65712 

.45396 
.45400 
.45403 
.45407 

9.65909 
.65913 
.65916 
.65919 

.45613 
.45617 
.45630 
.45634 

8 
7 
6 
5 

+  W 

57 
58 
59 

9.65088 
.65092 
.65095 
.65099 

.44759 
.44763 
.44766 
.44770 

9.65298 
.65302 
.65305 
.65309 

.44976 
.44980 
.44983 
.44987 

9.65507 
.65511 
.65514 
.65518 

.45193 
.45197 
.45300 
.45304 

9.65716 
.65719 
.65722 
.65726 

.45410 
.45414 
.45418 
.45431 

9.65923 
.65926 
.65930 
.65933 

.45638 
.45631 
.45635 
.45639 

4 
3 
2 

1 

+  15' 

9.65102 

.44774 

9.65312 

.44991 

9.65521 

.45308 

9.65729 

.45435 

9.65937 

.45643 

0 

18J^ 

24'^ 

ISh  23^ 

18^  22m 

ISh  21m 

18h  20m         1 

Page  112] 

TABLE  IV. 

Haversines. 

s 

5h40m 

85°  0' 

5h  41^  85°  15' 

5h42m 

85°  30' 

5h43m 

85°  45' 

5h44m 

86°  0' 

3 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

s 

3 

9.65937 
.65940 
.65944 
.65947 

.45642 
.4564C 
.45649 
.45653 

9.66143 
.66146 
.66150 
.66153 

.45860 
.45863 
.45867 
.45870 

9.66348 
.66352 
.66355 
.66359 

.46077 
.46081 
.46084 
.46088 

9.66553 
.66556 
.66560 
.66563 

.46295 
.46298 
.46302 
.46305 

9.66757 
.66760 
.66763 
.66767 

.46512 
.46516 
.46519 
.46523 

60 
59 
58 
57 

+    r 

5 
6 

7 

9.65950 
.65954 
.65957 
.65961 

.45657 
.45660 
.45664 
.4566S 

9.66157 
.66160 
.66164 
.66167 

.45874 

.45878 
.45881 
.45885 

9.66362 
.66366 
.66369 
.66372 

.46092 
.46095 
.46099 
.46102 

9.66567 
.66570 
.66573 
.66577 

.46309 
.46313 
.46316 
.46320 

9.66770 
.66774 
.66777 
.66780 

.46527 
.46530 
.46534 
.46538 

56 
55 
54 
53 

+  r 

9 

10 

11 

9.65964 
.65968 
.65971 
.65975 

.45671 
.45675 
.45678 
.45682 

9.06170 
.66174 
.66177 
.66181 

.45889 
.45892 
.45896 
.45899 

9.66376 
.66379 
.66383 
.66386 

.46106 
.46110 
.46113 
.46117 

9.66580 
.66584 
.66587 
.66590 

.46324 
.46327 
.46331 
.46334 

9.66784 
.66787 
.66791 
.66794 

.46541 
.46545 
.46548 
.46552 

52 
51 
50 
49 

+     3' 

13 
14 
15 

9.65978 
.65981 
.65985 
.65988 

.45686 
.45689 
.45693 
.45697 

9.66184 
.66188 
.66191 
.66194 

.45903 
.45907 
.45910 
.45914 

9.66389 
.66393 
.66396 
.66400 

.46121 
.46124 
.46128 
.46131 

9.66594 
.66597 
.66601 
.66604 

.46338 
.46342 
.46345 
.46349 

9.66797 
.66801 
.66804 
.66807 

.46556 
.46559 
.46563 
.46567 

48 
47 
46 
45 

+  4' 
17 
18 
19 

9.65992 
.65995 
.65999 
.66002 

.45700 
.45704 
.45707 
.45711 

9.66198 
.66201 
.66205 
.66208 

.45918 
.45921 
.45925 
.45928 

9.66403 
.66407 
.66410 
.66413 

.46135 
.46139 
.46142 
.46146 

9.66607 
.66611 
.66614 
.66618 

.46353 
.46356 
.46360 
.46363 

9.66811 
.66814 
.66818 
.66821 

.46570 
.46574 
.46577 
.46581 

44 
43 
42 
41 

+   y 

21 
22 
23 

9.66006 
.66009 
.66012 
.66016 

.45715 
.45718 
.45723 
.45726 

9.66212 
.66215 
.66218 
.66222 

.4593!? 
.45936 
.45939 
.45943 

9.66417 
.66420 
.66424 
.66427 

.46150 
.46153 
.46157 
.46161 

9.66621 
.66624 
.66628 
.66631 

.46367 
.46371 
.46374 
.46378 

9.66824 
.66828 
.66831 
.66835 

.46585 

.46588 
.46592 
.46596 

40 
39 
38 
37 

+      6' 

25 
26 
27 

9.66019 
.66023 
.66026 
.66030 

.45729 
.45733 
.45736 
.45740 

9.66225 
.66229 
.66232 
.66236 

.45947 
.45950 
.45954 
.45957 

9.66430 
.66434 
.66437 
.66441 

.46164 
.46168 
.46171 
,46175 

9.66635 
.66638 
.66641 
.66645 

.46382 
.46385 
.46389 
.46392 

9.66838 
.66841 
.66845 
.66848 

.46599 
.46603 
.46606 
.46610 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.66033 
.66037 
.66040 
.66043 

.45744 
.45747 
.45751 
.45755 

9.66239 
.66242 
.66246 
.66249 

.45961 
.45965 
.45968 
.45972 

9.66444 
.66447 
.66451 
.66454 

.46179 
.46182 
.46186 
.46189 

9.66648 
.66652 
.66655 
.66658 

.46396 
.46400 
.46403 
.46407 

9.66851 
.66855 
.66858 
.66862 

.46614 
.46617 
.46621 
.46625 

32 
31 
30 
29 

+   8' 
33 
34 
35 

9.66047 
.66050 
.66054 
.66057 

.45758 
.45762 
.45765 
.45769 

9.66253 
.66256 
.66260 
.66263 

.45976 
.45979 
.45983 
.45986 

9.66458 
.66461 
.66464 
.66468 

.46193 
.46197 
.46200 
.46204 

9.66662 
.66665 
.66669 
.66672 

.46411 
.46414 
.46418 
.46421 

9.66865 
.66868 
.66872 
.66875 

.46628 
.46632 
.46636 
.46639 

28 
27 
26 
25 

+  9' 

37 
38 
39 

9.66061 
.66064 
.66067 
.66071 

.45773 
.45776 
.45780 
.45783 

9.66266 
.66270 
.66273 
.66277 

.45990 
.45994 
.45997 
.46001 

9.66471 
.66475 
.66478 
.66482 

.46208 
.46211 
.46215 
.46318 

9.66675 
.66679 
.66682 
.66685 

.46425 
.46429 
.46432 
.46436 

9.66878 
.66882 
.66885 
.66889 

.46643 
.46646 
.46650 
.46654 

24 
23 
22 
21 

+  w 

41 

42 
43 

9.66074 
.66078 
.66081 
.66085 

.45787 
.45791 
.45794 
.45798 

9.66280 
.66284 
.66287 
.66290 

.46005 
.46008 
.46012 
.46015 

9.66485 
.66488 
.66492 
.66495 

.46332 
.46226 
.46339 
.46333 

9.66689 
.66692 
.66696 
.66699 

.46440 
.46443 
.46447 
.46451 

9.66892 
.66895 
.66899 
.66902 

.46657 
.46661 
.46665 
.46668 

20 
19 
18 
17 

+  11' 

45 
46 
47 

9.66088 
.66092 
.66095 
.66098 

.45802 
.45805 
.45809 
.45812 

9.66294 
.60297 
.66301 
.66304 

.46019 
.46023 
.46026 
.46030 

9.66499 
.66502 
.66505 
.66509 

.46337 
.46340 
.46344 
.46347 

9.66702 
.66706 
.66709 
.66713 

.46454 
.46458 
.46461 
.46465 

9.66905 
.66909 
.66912 
.66916 

.46672 
.46675 
.46679 
.46683 

16 
15 
14 
13 

+    13' 

49 
50 
51 

9.66102 
.66105 
.66109 
.66112 

.45816 
.45820 
.45823 

.45827 

9.66307 
.66311 
.66314 
.66318 

.46034 
.46037 
.46041 
.46044 

9.66512 
.66516 
.66519 
.66522 

.46351 
.46355 
.46358 
.46363 

9.66716 
.66719 
.66723 
.66726 

.46469 
.46472 
.46476 
.46480 

9.66919 
.66922 
.66926 
.66929 

.46686 
.46690 
.46694 
.46697 

12 

11 

10 

9 

+  13' 

53 
54 
55 

9.66116 
.66119 
.66122 
.66126 

.45831 
.45834 
.45838 
.45841 

9.66321 
.66325 
.66328 
.66331 

.46048 
.46053 
.46055 
.46059 

9.66526 
.66529 
.66533 
.66536 

.46366 
.46369 
.46373 
.46376 

9.66730 
.66733 
.06736 
.66740 

.46483 
.46487 
.46490 
.46494 

9.66932 
.66936 
.66939 
.66943 

.46701 
.46704 
.46708 
.46712 

8 
7 
6 
5 

+  14' 

57 
58 
59 

9.66129 
.66133 
.66136 
.66140 

.45845 
.45849 
.45852 
.45856 

9.66335 
.66338 
.66342 
.66345 

.46063 
.46066 
.46070 
.46073 

9.66539 
.66543 
.66546 
.66550 

.46380 
.46284 
.46287 
.46291 

9.66743 
.66747 
.66750 
.66753 

.46498 
.46501 
.46505 
.46509 

9.66946 
.66949 
.66953 
.66956 

.46715 
.46719 
.46723 
.46726 

4 
S 
2 
1 

+  15' 

9.66143 

.45860 

9.66348 

.46077 

9.66553 

.46295 

9.66757 

.46512 

9.66959 

.46730 

0 

ISh  igm 

ISn  18m 

ISh  17m 

IShiem 

18^  15m 

TABLE  IV. 

Haversinea. 

[Page  113 

s 

5fc^TO 

86°  15' 

5h  46^  86°  30' 

5h47m 

86°  45' 

5ft  45TO 

87°  0' 

5ft  49TO 

87°  15' 

3 

60 

59 
58 
57 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
S 

9.66959 
.66963 
.66966 
.66970 

.46730 
.46733 
.46737 
.46741 

9.67161 
.67165 
.67168 
.67]71 

.46948 
.46951 
.46955 
.46958 

9.67362 
.67366 
.67369 
.67372 

.47165 
.47169 
.47173 
.47176 

9.67562 
.67566 
.67569 
.67572 

.47383 
.47387 
.47390 
.47394 

9.67762 
.67765 

.67768 
.67772 

.47601 
.47605 
.47608 
.47613 

+    r 

5 
6 

7 

9.66973 
.66976 
.66980 
.66983 

.46744 
.46748 
.46753 
.46755 

9.67175 
.67178 
.67181 
.67185 

.46963 
.46966 
.46969 
.46973 

9.67376 
.67379 
.67382 
.67386 

.47180 
.47184 

.47187 
.47191 

9.67576 

.67579 
.67582 
.67586 

.47398 
.47401 
.47405 
.47409 

9.67775 

.67778 
.67782 
.67785 

.47616 
.47619 
.47633 
.47637 

56 
55 
54 
53 

+  2' 
9 

10 
11 

9.66986 
.66990 
.66993 
.66997 

.46759 
.46763 
.46766 
.46770 

9.67188 
.67192 
.67195 
.67198 

.46977 
.46980 
.46984 
.46987 

9.67389 
.67392 
.67396 
.67399 

.47194 
.47198 
.47303 
.47305 

9.67589 
.67592 
.67596 
.67599 

.47413 
.47416 
.47430 
.47433 

9.67788 
.67792 
.67795 
.67798 

.47630 
.47634 
.47637 
.47641 

52 
51 

50 
49 

+  3' 

13 
14 
15 

9.67000 
.67003 
.67007 
.67010 

.46773 
.46777 
.46781 
.46784 

9.67202 
.67205 
.67208 
.67212 

.46991 
.46995 
.46998 
.47003 

9.67402 
.67406 
.67409 
.67412 

.47309 
.47313 
.47316 
.47330 

9.67602 
.67606 
.67609 
.67612 

.47437 
.47430 
.47434 
.47438 

9.67801 
.67805 
.67808 
.67811 

.47645 
.47648 
.47653 
.47656 

48 
47 
46 

45 

U 
43 
42 
41 

+  4' 

n 

18 
19 

9.67013 
.67017 
.67020 
.67023 

.46788 
.46793 
.46795 
.46799 

9.67215 
.67218 
.67222 
.67225 

.47006 
.47009 
.47013 
.47017 

9.67416 
.67419 
.67422 
.67426 

.47333 
.47327 
.47231 
.47234 

9.67616 
.67619 

.67622 
.67626 

.47441 
.47445 
.47449 
.47453 

9.67815 
.67818 
.67821 
.67825 

.47659 
.47663 
.47666 
.47670 

+  5' 
21 

22 
23 

9.67027 
.67030 
.67034 
.67037 

.46803 
.46806 
.46810 
.46813 

9.67228 
.67232 
.67235 
.67238 

.47030 
.47034 
.47037 
.47031 

9.67429 
.67432 
.67436 
.67439 

.47338 
.47343 
.47345 
.47349 

9.67629 
.67632 
.67636 
.67639 

.47456 
.47459 
.47483 
.47467 

9.67828 
.67831 
.67835 
.67838 

.47674 
.47677 
.47681 
.47685 

40 
39 

38 

37 

+  6' 

25 
26 
27 

9.67040 
.67044 
.67047 
.67050 

.46817 
.46831 
.46834 

.46838 

9.67242 
.67245 
.67249 
.67252 

.47035 
.47038 
.47043 
.47046 

9.67443 
.67446 
.67449 
.67452 

.47353 
.47256 
.47260 
.47263 

9.67642 
.67646 
.67649 
.67652 

.47470 
.47474 

.47478 
.47481 

9.67841 
.67844 
.67848 
.67851 

.47688 
.47693 
.47696 
.47699 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.67054 
.67057 
.67060 
.67064 

.46831 
.46835 
.46839 
.46843 

9.67255 
.67259 
.67262 
.67265 

.47049 
.47053 
.47056 
.47060 

9.67456 
.67459 
.67462 
.67466 

.47367 
.47371 
.47274 

.47278 

9.67656 
.67659 
.67662 
.67666 

.47485 
.47489 
.47493 
.47496 

9.67854 
.67858 
.67861 
.67864 

.47703 
.47706 
.47710 
.47714 

32 
31 

30 

29 
28 

27 
26 

25 

+     8' 
S3 
34 

35 

9.67067 
.67071 
.67074 
.67077 

.46846 
.46850 
.46853 
.46857 

9.67269 
.67272 
.67275 
.67279 

.47064 
.47067 
.47071 
.47075 

9.67469 
.67472 
.67476 
.67479 

.47283 
.47285 
.47289 
.47292 

9.67669 
.67672 
.67675 
.67679 

.47499 
.47503 
.47507 
.47510 

9.67868 
.67871 
.67874 
.67878 

.47717 
.47731 
.47725 

.47728 

+  9^ 

37 
38 
39 

9.67081 
.67084 
.67087 
.67091 

.46860 
.46864 
.46868 
.46871 

9.67282 
.67285 
.67289 
.67292 

.47078 
.47083 
.47086 
.47089 

9.67483 
.67486 
.67489 
.67493 

.47296 
.47300 
.47303 
.47307 

9.67682 
.67685 
.67689 
.67692 

.47514 
.47518 
.47531 
.47525 

9.67881 
.67884 
.67887 
.67891 

.47733 
.47735 
.47739 
.47743 

24 
23 
22 
21 

+  W 

41 

42 
43 

9.67094 
.67097 
.67101 
.67104 

.46875 
.46879 

.46883 
.46886 

9.67295 
.67299 
.67302 
.67305 

.47093 
.47096 
.47100 
.47104 

9.67496 
.67499 
.67503 
.67506 

.47311 
.47314 
.47318 
.47321 

9.67695 
.67699 
.67702 
.67705 

.47528 
.47533 
.47536 
.47539 

9.67894 
.67897 
.67901 
.67904 

.47746 
.47750 
.47754 
.47757 

20 
19 
18 
17 

+  11' 

45 
46 
47 

9.67108 
.67111 
.67114 
.67118 

.46890 
.46893 
.46897 
.46900 

9.67309 
.67312 
.67315 
.67319 

.47107 
.47111 
.47115 
.47118 

9.67509 
.67512 
.67516 
.67519 

.47325 
.47329 
.47332 
.47336 

9.67709 
.67712 
.67715 
.67719 

.47543 
.47547 
.47550 
.47554 

9.67907 
.67911 
.67914 
.67917 

.47761 
.47765 
.47768 

.47773 

16 
15 
14 
13 

+  13' 

49 
50 
51 

9.67121 
.67124 
.67128 
.67131 

.46904 
.46908 
.46911 
.46915 

9.67322 
.67326 
.67329 
.67332 

.47133 
.47125 
.47139 
.47133 

9.67522 
.67526 
.67529 
.67532 

.47340 
.47343 
.47347 
.47351 

9.67722 
.67725 
.67729 
.67732 

.47558 
.47561 
.47565 
.47568 

9.67920 
.67924 
.67927 
.67930 

.47775 
.47779 

.47783 
.47786 

12 
11 
10 
9 
8 
7 
6 
5 

+  13' 

53 
54 

55 

9.67134 
.67138 
.67141 
.67145 

.46919 
.46933 
.46936 
.46929 

9.67336 
.67339 
.67342 
.67346 

,47136 
.47140 
.47144 
.47147 

9.67536 
.67539 
.67542 
.67546 

.47354 
.47358 
.47361 
.47365 

9.67735 
.67738 
.67742 
.67745 

.47573 
.47576 
.47579 
.47583 

9.67934 
.67937 
.67940 
.67944 

.47790 
.47794 
.47797 
.47801 

+  14' 

57 
58 
59 

9.67148 
.67151 
.67155 
.67158 

.46933 
.46937 
.46940 
.46944 

9.67349 
.67352 
.67356 
.67359 

.47151 
.47155 
.47158 
.47163 

9.67549 
.67552 
.67556 
.67559 

.47369 
.47373 
.47376 
.47380 

9.67748 
.67752 
.67755 
.67758 

.47587 
.47590 
.47594 
.47597 

9.67947 
.67950 
.67953 
.67957 

.47805 
.47808 
.47813 
,47815 

4 
3 

2 

1 

+    15' 

9.67161 

.46948 

9.67362 

.47165 

9.67562 

.47383 

9.67762 

.47601 

9.67960 

.47819 

0 

jtSh  i^»i 

18h 13m 

ISfe  12m 

ISh  lira 

IShlOra 

55901°— IS- 


Page  114]                 TABLE  IV. 

Haversines. 

s 

5ft  50^  87°  W 

5h  5im  87°  45' 

5A  52^  88°  0' 

5A  53m  88°  15' 

5h  54'^  88°  30' 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

E 

0 
1 

2 
3 

9.67960 
.67963 
.67967 
.67970 

.47819 
.47833 
.47826 
.47830 

9.68158 
.68161 
.68164 
.68167 

.48037 
.48041 
.48044 
.48048 

9.68354 
.68358 
.68361 
.68364 

.48255 
.48259 
.48262 
.48266 

9.68550 
.68553 
.68557 
.68560 

.48473 

.48477 
.48480 

.48484 

9.68745 
.68748 
.68751 
.68755 

.48691 
.48695 
.48698 
.48702 

60 
59 
58 
57 

+    r 

5 

6 

7 

9.67973 
.67977 
.67980 
.67983 

.47834 
.47837 
.47841 
.47844 

9.68171 
.68174 
.68177 
.68181 

.48052 
.48055 
.48059 
.48062 

9.68367 
.68371 
.68374 
.68377 

.48269 
.48273 

.48277 
.48280 

9.68563 
.68566 
.68570 
.68573 

.48488 
.48491 
.48495 
.48499 

9.68758 
.68761 
.68764 
.68768 

.48706 
.48709 
.48713 
.48717 

56 
55 
54 
53 

+     2^ 

9 
10 
11 

9.67986 
.67990 
.67993 
.67996 

.47848 
.47852 
.47855 
.47859 

9.68184 
.68187 
.68190 
.68194 

.48066 
.48070 
.48073 
.48077 

9.68380 
.68384 
.68387 
.68390 

.48284 
.48288 
.48291 
.48295 

9.68576 
.68579 
.68583 
.68586 

.48502 
.48506 
.48509 
.48513 

9.68771 
.68774 
.68777 
.68781 

.48720 
.48724 

.48728 
.48731 

52 
51 
50 
49 

+     3' 

13 
14 
15 

9.68000 
.68003 
.68006 
.68010 

.47863 
.47866 
.47870 
.47874 

9.68197 
.68200 
.68204 
.68207 

.48081 
.48084 

.48088 
.48092 

9.68393 
.68397 
.68400 
.68403 

.48299 
.48302 
.48306 
.48310 

9.68589 
.68592 
.68596 
.68599 

.48517 
.48520 
.48534 

.48538 

9.68784 
.68787 
.68790 
.68794 

.48735 

.48738 
.48742 
.48746 

48 
47 
46 
45 

+     4' 

17 
18 
19 

9.68013 
.68016 
.68019 
.68023 

.47877 
.47881 
.47884 
.47888 

9.68210 
.68213 
.68217 
.68220 

.48095 
.48099 

.48102 
.48106 

9.68407 
.68410 
.68413 
.68416 

.48313 
.48317 
.48320 
.48324 

9.68602 
.68605 
.68609 
.68612 

.48531 
.48535 

.48538 

.48543 

9.68797 
.68800 
.68803 
.68806 

.48749 
.48753 

.48757 
.48760 

44 
43 
42 
41 

+     5' 

21 

22 
23 

9.68026 
.68029 
.68033 
.68036 

.47892 
.47895 
.47899 
.47903 

9.68223 
.68227 
.68230 
.68233 

.48110 
.48113 
.48117 
.48121 

9.68420 
.68423 
.68426 
.68429 

.48338 
.48331 
.48335 
.48339 

9.68615 
.68618 
.68622 
.68625 

.48546 
.48549 
.48553 

.48557 

9.68810 
.68813 
.68816 
.68320 

.48764 
.48767 
.48771 

.48775 

40 
39 

38 
37 

+     6' 

25 
26 
27 

9.68039 
.68042 
.68046 
.68049 

.47906 
.47910 
.47913 
.47917 

9.68236 
.68240 
.68243 
.68246 

.48124 
.48128 
.48131 
.48135 

9.68433 
.68436 
.68439 
.68442 

.48342 
.48346 
.48350 
.48353 

9.68628 
.68631 
.68635 
.68638 

.48560 
.48564 
.48568 
.48571 

9.68823 
.68826 
.68829 
.68832 

.48778 
.48782 
.48786 
.48789 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.68052 
.68056 
.68059 
.68062 

.47921 
.47924 
.47928 
.47932 

9.68249 
.68253 
.68256 
.68259 

.48139 
.48142 
.48146 
.48150 

9.68446 
.68449 
.68452 
.68456 

.48357 
.48360 
.48364 

.48368 

9.68641 
.68644 
.68648 
.68651 

.48575 

.48578 
.48582 
.48586 

9.68836 
.68839 
.68842 
.68845 

.48793 
.48797 
.48800 

.48804 

32 
31 
30 
-29 

+  8' 
33 
34 
35 

9.68066 
.68069 
.68072 
.68075 

.47935 
.47939 
.47943 
.47946 

9.68263 
.68266 
.68269 
.68272 

.48153 
.48157 
.48161 
.48164 

9.68459 
.68462 
.68465 
.68469 

.48371 
.48375 
.48379 

.48382 

9.68654 
.68657 
.68661 
.68664 

.48589 
.48593 
.48597 
.48600 

9.68849 
.68852 
.68855 
.68858 

.48807 
.48811 

.48815 
.48818 

28 
27 
26 
25 

+     9' 

37 
38 
39 

9.68079 
.68082 
.68085 
.68089 

.47950 
.47953 
.47957 
.47961 

9.68276 
.68279 
.68282 
.68286 

.48168 
.48171 
.48175 
.48179 

9.68472 
.68475 
.68478 
.68482 

.48386 
.48389 
.48393 
.48397 

9.68667 
.68670 
.68674 
.68677 

.48604 
.48608 
.48611 
.48615 

9.68862 
.68865 
.68868 
.68871 

.48822 
.48826 

.48839 
.48833 

24 
23  \ 
22 
21 

+  W 

41 
42 
43 

9.68092 
.68095 
.68098 
.68102 

.47964 
.47968 
.47972 
.47975 

9.68289 
.68292 
.68295 
.68299 

.48182 
.48186 
.48190 
.48193 

9.68485 
.68488 
.68491 
.68495 

.48400 
.48404 
.48408 
.48411 

9.68680 
.68683 
.68687 
.68690 

.48618 
.48622 
.48626 
.48629 

9.68875 
.68878 
.68881 
.68884 

.48837 
.48840 
.48844 
.48847 

20 
19 
18 
17 

+  ir 

45 
46 

47 

9.68105 
.68108 
.68112 
.68115 

.47979 
.47983 
.47986 
.47990 

9.68302 
.68305 
.68308 
.68312 

.48197 
.48201 
.48204 
.48208 

9.68498 
.68501 
.68504 
.68508 

.48415 
.48419 
.48422 
.48426 

9.68693 
.68696 
.68700 
.68703 

.48633 
.48637 
.48640 
.48644 

9.68887 
.68891 
.68894 
.68897 

.48851 
.48855 
.48858 
.48863 

16 
15 
14 
13 

+  n' 

49 
50 
51 

9.68118 
.68121 
.68125 
.68128 

.47993 
.47997 
.48001 
.48004 

9.68315 
.68318 
.68322 
.68325 

.48311 
.48215 
.48219 

.48222 

9.68511 
.68514 
.68517 
.68521 

.48439 
.48433 
.48437 
.48440 

9.68706 
.68709 
.68713 
.68716 

.48648 
.48651 
.48655 

.48658 

9.68900 
.68904 
.68907 
.68910 

.48866 
.48869 

.48873 

.48877 

12 

11 

10 

9 

+  13' 

53 
54 
55 

9.68131 
.68135 
.68138 
.68141 

.48008 
.48012 
.48015 
.48019 

9.68328 
.68331 
.68335 
.68338 

.48336 
.48230 
.48233 
.48237 

9.68524 
.68527 
.68531 
.68534 

.48444 
.48448 
.48451 
.48455 

9.68719 
.68722 
.68726 
.68729 

.48663 
.48666 
.48669 
.48673 

9.68913 
.68917 
.68920 
.68923 

.48880 
.48884 
.48887 
.48891 

8 
7 
6 
5 

+    W 

57 
58 
59 

9.68144 
.68148 
.68151 
.68154 

.48022 
.48026 
.48030 
.48033 

9.68341 
.68344 
.68348 
.68351 

.48241 

.48244 
.48248 
.48251 

9.68537 
.68540 
.68544 
.68547 

.48459 
.48462 
.48466 
.48469 

9.68732 
.68735 
.68739 
.68742 

.48677 
.48680 

.48684 
.46688 

9.68926 
.68929 
.68933 
.68936 

.48895 
.48898 
.48903 
.48906 

4 
3 

2   ' 

+  16' 

9.68158 

.48037 

9.68354 

.48255 

9.68550 

.48473 

9.68745   .48691 

9.68939 

.48909 

0 

— 

Ign  9m          1 

IShgm            1 

ISh  7m           1 

IShem 

ISJi  5m         1 

TABLE  IV.                  [Page  116 
Haversines. 

s 

5^  55m  88°  45^ 

5h  56m  89°  0^ 

5^  57m  89°  15' 

5h  58m  89°  30^ 

5h  59m  89°  45' 

s 

60 
59 

58 
57 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 

9.68939 
.68942 
.68946 
.68949 

.48909 
.48913 
.48917 
.48920 

9.69132 
.69136 
.69139 
.69142 

.49127 
.49131 
.49135 
.49138 

9.69325 
.69328 
.69331 
.69334 

.49346 
.49349 
.49353 
.49356 

9.69516 
.69520 
.69523 
.69526 

.49564 
.49567 
.49671 
.49575 

9.69707 
.69710 
.69713 
.69717 

.49782 
.49785 
.49789 
.49793 

+    r 

5 
6 
7 

9.68952 
.68955 
.68958 
.68962 

.48924 
.48927 
.48931 
.48935 

9.69145 
.69148 
.69152 
.69155 

.49143 
.49146 
.49149 
.49153 

9.69338 
.69341 
.69344 
.69347 

.49360 
.49364 
.49367 
.49371 

9.69529 
.69532 
.69535 
.69539 

.49578 
.49583 
.49585 
.49589 

9.69720 
.69723 
.69726 
,69729 

.49796 
.49800 
.49804 
.49807 

56 
55 
54 
53 

+   2^ 

9 

10 

11 

9.68965 
.68968 
.68971 
.68975 

.48938 
.48943 
.48946 
.48949 

9.69158 
.69161 
.69164 
.69168 

.49156 
.49160 
.49164 
.49167 

9.69350 
.69354 
.69357 
.69360 

.49375 
.49378 
.49383 
.49386 

9.69542 
.69545 
.69548 
.69551 

.49593 
.49596 
.49600 
.49604 

9.69732 
.69736 
.69739 
.69742 

.49811 
.49815 
.49818 
.49833 

52 
51 
50 
49 

+   3^ 

IS 
14 
15 

9.68978 
.68981 
.68984 
.68988 

.48953 
.48957 
.48960 
.48964 

9.69171 
.69174 
.69177 
.69181 

.49171 
.49175 
.49178 
.49183 

9.69363 
.69366 
.69370 
.69373 

.49389 
.49393 
.49396 
.49400 

9.69555 
.69558 
.69561 
.69564 

.49607 
.49611 
.49615 
.49618 

9.69745 
.69748 
.69751 
.69755 

.49835 
.49839 
.49833 
.49836 

48 
47 
46 
45 

44 
43 
42 
41 
40 
39 
38 
37 

-r   4' 
17 
IS 
19 

9.68991 
.68994 
.68997 
.69000 

.48967 
.48971 
.48975 

.48978 

9.69184 
.69187 
.69190 
.69193 

.49188 
.49189 
.49193 
.49196 

9.69376 
.69379 
.69382 
.69386 

.49404 
.49407 
.49411 
.49415 

9.69567 
.69570 
.69574 
.69577 

.49633 
.49635 
.49639 
.49633 

9.69758 
.69761 
.69764 
.69767 

.49840 
.49844 
.49847 
.49851 

+      5^ 

21 

22 
23 

9.69004 
.69007 
.69010 
.69013 

.48983 
.48986 
.48989 
.48993 

9.69197 
.69200 
.69203 
.69206 

.49300 
.49204 
.49307 
.49311 

9.69389 
.69392 
.69395 
.69398 

.49418 
.49433 
.49436 
.49439 

9.69580 
.69583 
.69586 
.69590 

.49636 
.49640 
.49644 
.49647 

9.69770 
.69774 
.69777 
.69780 

.49855 

.49858 
.49863 
.49865 

+      6^ 

25 
26 
27 

9.69017 
.69020 
.69023 
.69026 

.48997 
.49000 
.49004 
.49007 

9.69209 
.69213 
.69216 
.69219 

.49315 
.49318 
.49323 
.49336 

9.69402 
.69405 
.69408 
.69411 

.49433 
.49436 
.49440 
.49444 

9.69593 
.69596 
.69599 
.69602 

.49651 
.49655 
.49658 
.49662 

9.69783 
.69786 
.69789 
.69793 

.49869 
.49873 
.49876 
.49880 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.69029 
.69033 
.69036 
.69039 

.49011 
.49015 
.49018 
.49023 

9.69222 
.69225 
.69229 
.69232 

.49339 
.49333 
.49336 
.49340 

9.69414 
.69417 
.69421 
.69424 

.49447 
.49451 
.49455 
.49458 

9.69605 
.69609 
.69612 
.69615 

.49665 
.49669 
.49673 
.49676 

9.69796 
.69799 
.69802 
.69805 

.49884 

.49887 
.49891 
.49895 

32 
31 
30 
29 

+  8^ 
33 
34 
35 

9.69042 
.69046 
.69049 
.69052 

.49026 
.49039 
.49033 
.49036 

9.69235 
.69238 
.69242 
.69245 

.49344 
.49347 
.49351 
.49355 

9.69427 
.69430 
.69433 
.69437 

.49463 
.49465 
.49469 
.49473 

9.69618 
.69621 
.69625 
.69628 

.49680 
.49684 
.49687 
.49691 

9.69808 
.69812 
.69815 
.69818 

.49898 
.49903 
.49905 
.49909 

28 
27 
26 
25 

+      ^ 

37 
38 
39 

9.69055 
.69058 
.69062 
.69065 

.49040 
.49044 
.49047 
.49051 

9.69248 
.69251 
.69254 
.69258 

.49358 
.49363 
.49366 
.49369 

9.69440 
.69443 
.69446 
.69449 

.49476 
.49480 
.49484 
.49487 

9.69631 
.69634 
.69637 
.69640 

.49695 
.49698 
.49703 
.49705 

9.69821 
.69824 
.69827 
.69831 

.49913 
.49916 
.49930 
.48934 

24 
23 

22 
21 

+  W 

41 
42 
43 

9.69068 
.69071 
.69074 
.69078 

.49055 
.49058 
.49062 
.49066 

9.69261 
.69264 
.69267 
.69270 

.49373 
.49376 
.49380 
.49384 

9.69453 
.69456 
.69459 
.69462 

.49491 
.49495 
.49498 
.49503 

9.69644 
.69647 
.69650 
.69653 

.49709 
.49713 
.49716 
.49730 

9.69834 
.69837 
.69840 
.69843 

.49937 
.49931 
.49935 
.49938 

20 
19 
18 
17 

+  11^ 

45 
46 
47 

9.69081 
.69084 
.69087 
.69091 

.49069 
.49073 
.49076 
.49080 

9.69274 
.69277 
.69280 
.69283 

.49387 
.49391 
.49395 
.49398 

9.69465 
.69469 
.69472 
.69475 

.49506 
.49509 
.49513 
.49516 

9.69656 
.69659 
.69663 
.69666 

.49734 
.49737 
.49731 
.49735 

9.69846 
.69850 
.69853 
.69856 

.49943 
.49945 
.49949 
.49953 

16 
15 
14 
13 

+  12' 

49 
50 
51 

9.69094 
.69097 
.69100 
.69103 

.49084 
.49087 
.49091 
.49095 

9.69286 
.69290 
.69293 
.69296 

.49303 
.49306 
.49309 
.49313 

9.69478 
.69481 
.69484 
.69488 

.49530 
.49534 
.49537 
.49531 

9.69669  1  .49738 
.69672   .49743 
.69675   .49745 
.69678   .49749 

9.69859 
.69862 
.69865 
.69869 

.49956 
.49960 
.49964 
.49967 

12 

11 

10 

9 

+    13^ 

53 
54 
55 

9.69107 
.69110 
.69113 
.69116 

.49098 
.49103 
.49106 
.49109 

9.69299 
.69302 
.69306 
.69309 

.43316 
.49320 
.49334 
.49337 

9.69491 
.69494 
.69497 
.69500 

.49535 
.49538 
.49543 
.49545 

9.69682 
.69685 
.69688 
.69691 

.49753 
.49756 
.49760 
.49764 

9.69872 
.69875 
.69878 
.69881 

.49971 
.49975 
.49978 
.49983 

8 
7 
6 
5 

+  W 

57 
58 
59 

9.69120 
.69123 
.69126 
.69129 

.49113 
.49116 
.49120 
.49134 

9.69312 
.69315 
.69318 
.69322 

.49331 
.49335 
.49338 
.49343 

9.69504 
.69507 
.69510 
.69513 

.49549 
.49553 
.49556 
.49560 

9.69694 
.69698 
.69701 
.69704 

.49767 
.49771 
.49775 
.49778 

9.69884 
.69888 
.69891 
.69894 

.49985 
.49989 
.49993 
.49997 

4 
3 

2 
'1 

+  ijy 

9.69132 

.49127 

9.69325 

.49346 

9.69516 

.49564 

9.69707 

.49783 

9.69897 

.50000 

0 

Igh^m 

28h  3m 

18h  2m 

IShim 

IShQm 

Page  116] 

tablp:  iv. 

Havereinea. 

s 

6ft  Om  90°  (K  1 

6ft  im  90°  15' 

6ft  2^  90°  ar  1  6ft  Sm  90°  45^ 

6ft  4^  91°  C  1 

8 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav.  Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 
2 
S 

9.69897 
.69900 
.69903 
.69906 

^0000 
o50004 
.50007 
.50011 

9.70086 
.70089 
.70092 
.70096 

.50218 
.50222 
.50225 
.50229 

9.70274 
.70277 
.70281 

.70284 

.50436 
.50440 
.50444 
.50447 

9.70462 
.70465 
.70468 
.70471 

.50654 
.50658 
.50662 
.50665 

9.70648 
.70652 
.70655 
.70658 

.50873 
.50876 
.50880 

.50884 

60 
59 
58 

57 

+    r 

5 
6 
7 

9.69910 
.69913 
.69916 
.69919 

.50015 
.50018 
.50032 
.50025 

9.70099 
.70102 
.70105 
.70108 

.50233 
.50236 
.50240 
.50244 

9.70287 
.70290 
.70293 
.70296 

.50451 
.50455 
.50458 
.50462 

9.70474 
.70477 
.70480 
.70484 

.50669 
.50673 
.50676 
.50680 

9.70661 
.70664 
.70667 
.70670 

.50887 
.50891 
.50894 
.50898 

66 
55 
54 
53 

+     2' 

9 

10 

11 

9.69922 
.69925 
.69929 
.69932 

.50029 
.50033 
.50036 
.50010 

9.70111 
.70114 
.70118 
.70121 

.50247 
.50251 
.50255 
.50258 

9.70299 
.70303 
.70306 
.70309 

.50465 
.50469 
.50473 
.50476 

9.70487 
.70490 
.70493 
.70496 

.50684 
.50687 
.50691 
.50694 

9.70673 
.70676 
.70679 
.70683 

.50902 
.50905 
.50909 
.50913 

52 
51 
50 
49 

+  3' 

13 

u 

15 

9.69935 
.69938 
.69941 
.69944 

.50044 
.50047 
.50051 
.50055 

9.70124 
.70127 
.70130 
.70133 

.50262 
.50265 
.50269 
.50273 

9.70312 
.70315 
.70318 
.70321 

.50480 
.50484 

.50487 
.50491 

9.70499 
.70502 
.70505 
.70509 

.50698 
.50702 
.50705 
.50709 

9.70686 
.70689 
.70692 
.70695 

.50916 
.50920 
.50924 
.50927 

48 
47 
46 
45 

+  4^ 
17 

18 
19 

9.69948 
.69951 
.69954 
.69957 

.50058 
.50062 
.50065 
.50069 

9.70136 
.70140 
.70143 
.70146 

.50276 
.50280 
.50284 
.50287 

9.70324 
.70328 
.70331 
.70334 

.50495 
.50498 
.50502 
.50505 

9.70512 
.70515 
.70518 
.70521 

.50713 
.50716 
.50720 
.50734 

9.70698 
.70701 
.70704 
.70707 

.50931 
.50934 
.50938 
.50942 

44 
43 
42 
41 

+  5^ 

21 
22 
23 

9.69960 
.69963 
.69966 
.69970 

.50073 
.50076 
.50080 
.50084 

9.70149 
.70152 
.70155 

.70158 

.50291 
.50295 
.50298 
.50302 

9.70337 
.70340 
.70343 
.70346 

.50509 
.50513 
.50516 
.50520 

9.70524 
.70527 
.70530 
.70533 

.50737 
,50731 
.50734 
.50738 

9.70710 
.70714 
.70717 
.70720 

.50945 
.50949 
.50953 
.50956 

40 
39 
38 
37 

+  ^ 

85 
26 

27 

9.69973 
.69976 
.69979 
.69982 

.50087 
.50091 
.50095 
.50098 

9.70161 
.70165 
.70168 
.70171 

.50305 
.50309 
.50313 
.50316 

9.70349 
.70353 
.70356 
.70359 

.50524 
.50527 
.50531 
.50534 

9.70537 
.70540 
.70543 
.70546 

.50743 
.50745 
.50749 
.50753 

9.70723 
.70726 
.70729 
.70732 

.50960 
.50964 
.50967 
.50971 

36 
35 
34 
33 
32 
31 
30 
29 

+    r 

29 
30 
31 

9.69985 
.69988 
.69992 
.69995 

.50102 
.50105 
.50109 
.50113 

9.70174 
.70177 
.70180 
.70183 

.50320 
.50324 
.50327 
.50331 

9.70362 
.70365 
.70368 
.70371 

.50538 
.50542 
.50545 
.50549 

9.70549 
.70552 
.70555 
.70558 

.50756 
.50760 
.50764 
.50767 

9.70735 
.70738 
.70741 
.70745 

.50974 
.50978 
.50982 
.50985 

+  8' 
33 
34 
35 

9.69998 
.70001 
.70004 
.70007 

.50116 
.50120 
.50124 
.50127 

9.70187 
.70190 
.70193 
.70196 

.50335 
.50338 
.50342 
.50345 

9.70374 
.70378 
.70381 
.70384 

.50553 
.50556 
.50560 
.50564 

9.70561 
.70565 
.70568 
.70571 

.50771 
.50774 
.50778 
.50783 

9.70748 
.70751 
.70754 
.70757 

.50989 
.50993 
.50996 
.51000 

28 
27 
26 

25 

24 
23 
22 
21 
20 
19 
18 
17 

+   9^ 

57 
38 
39 

9.70011 
.70014 
.70017 
.70020 

.50131 
.50135 
.50138 
.50142 

9.70199 
.70202 
.70205 
.70209 

.50349 
.50353 
.50356 
.50360 

9.70387 
.70390 
.70393 
.70396 

.50567 
.50571 
.50574 
.50578 

9.70574 
.70577 
.70580 
.70583 

.50785 
.50789 
.50793 
.50796 

9.70760 
.70763 
.70766 
.70769 

.51004 
.51007 
.51011 
.51014 

+  W 

41 
42 
43 

9.70023 
.70026 
.70029 
.70033 

.50145 
.50149 
.50153 
.50156 

9.70212 
.70215 
.70218 
.70221 

.50364 
.50367 
.50371 
.50375 

9.70399 
.70402 
.70406 
.70409 

.50582 
.50585 
.50589 
.50593 

9.70586 
.70589 
.70593 
.70596 

.50800 
.50804 
.50807 
.50811 

9.70772 
.70775 
.70779 
.70782 

.51018 
.51022 
.51025 
.51029 

+    11^ 

45 
46 
47 

9.70036 
.70039 
.70042 
.70045 

.50160 
.50164 
.50167 
.50171 

9.70224 
.70227 
.70230 
.70234 

.50378 
.50382 
.50385 
.50389 

9.70412 
.70415 
.70418 
.70421 

.50596 
.50600 
.50604 
.50607 

9.70599 
.70602 
.70605 
.70608 

.50814 
.50818 
.50833 
.50835 

9.70785 
.70788 
.70791 
.70794 

.51033 
.51036 
.51040 
.51043 

16 
15 
14 
13 

+  n' 

49 
50 
51 

9.70048 
.70051 
.70055 
.70058 

.50175 
.50178 
.50182 
.50185 

9.70237 
.70240 
.70243 
.70246 

.50393 
.50396 
.50400 
.50404 

9.70424 
.70427 
.70431 
.70434 

.50611 
.50614 
.50618 
.50632 

9.70611 
.70614 
.70617 
.70620 

.50829 
.50833 
.50836 
.50840 

9.70797 
.70800 
.70803 
.70806 

.51047 
.51051 
.51054 
.51058 

12 

11 

10 

9 

+  13^ 

53 
54 
55 

9.70061 
.70064 
.70067 
.70070 

.50189 
.50193 
.50196 
.50200 

9.70249 
.70252 
.70256 
.70259 

.50407 
.50411 
.50415 
.50418 

9.70437 
.70440 
.70443 
.70446 

.50625 
.50629 
.50633 
.50636 

9.70624 
.70627 
.70630 
.70633 

.50844 
.50847 
.50851 
.50854 

9.70809 
.70813 
.70816 
.70819 

.51062 
.51065 
.51069 
.51073 

8 
7 
6 
5 

+    14' 

57 
58 
59 

9.70074 
.70077 
.70080 
.70083 

.50204 
.50207 
.50211 
.50215 

9.70262 
.70265 
.70268 
.70271 

.50422 
.50425 
.50429 
.50433 

9.70449 
.70452 
.70456 
.70459 

.50640 
.50644 
.50647 
.50651 

9.70636 
.70639 
.70642 
.70645 

.50858 
.50862 
.50865 
.50869 

9.70822 
.70825 
.70828 
.70831 

.51076 
.51080 
.51083 
.51087 

4 
3 
2 
1 

+    15' 



9.70086 

.50218 

9.70274 

.50436 

9.70462 

.50654 

9.70648 

.50873 

9.70834 

.51091 

0 

i7h 

69m 

i7A  58m 

i7ft 

57m 

i7ft  56m 

i7ft  55m         1 

TABLE  IV. 

Haversines. 

[Page  117 

s 

6h  5m  91°  W 

6h  6m  91°  30^ 

eh  7TO  91°  45/ 

eh  gm  92°  0^ 

eh  9m 

J3°  15^ 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
S 

9.70834 
.70837 
.70840 
.70843 

.51091 
.51094 
.51098 
.51103 

9.71019 
.71022 
.71025 
.71028 

.51309 
.51313 
.51316 
.51330 

9.71203 
.71206 
.71210 
.71213 

.61537 
.51531 
.51534 
.51538 

9.71387 
.71390 
.71393 
.71396 

.51745 
.51749 
.51753 
.51756 

9.71569 
.71572 
.71575 
.71579 

.51963 
.51967 
.61970 
.51974 

60 
59 
58 
57 

+    r 

5 
6 
7 

9.70847 
.70850 
.70853 
.70856 

.51105 
.51109 
.51113 
.51116 

9.71032 
.71035 
.71038 
.71041 

.51323 
.51327 
.51331 
.51334 

9.71216 
.71219 
.71222 
.71225 

.51541 
.51545 
.51549 
.61553 

9.71399 
.71402 
.71405 
.71408 

.51760 
.51763 
.51767 
.51770 

9.71582 
.71585 
.71588 
.71591 

.51978 
.51981 
.51985 

.51988 

56 
55 
54 
53 

+   2^ 

9 

10 

11 

9.70859 
.70862 
.70865 
.70868 

.51120 
.51133 
.51137 
.51131 

9.71044 
.71047 
.71050 
.71053 

.51338 
.51343 
.51345 
.51349 

9.71228 
.71231 
.71234 
.71237 

.61556 
.61660 
.61663 
.51667 

9.71411 
.71414 
.71417 
.71420 

.51774 

.51778 
.51781 
.51785 

9.71594 
.71597 
.71600 
.71603 

.51992 
.51996 
.61999 
.63003 

52 
51 
50 
49 

+  3- 

13 
14 
15 

9.70871 
.70874 
.70877 
.70881 

.51134 
.51138 
.51143 
.51145 

9.71056 
.71059 
.71062 
.71065 

.51353 
.51356 
.51360 
.51363 

9.71240 
.71243 
.71246 
.71249 

.61571 
.51674 
.51578 
.51681 

9.71423 
.71426 
.71430 
.71433 

.51789 
.51793 
.61796 
.51799 

9.71606 
.71609 
.71612 
.71615 

.63007 
.63010 
.52014 
.52018 

48 
47 
46 
45 

+   4^ 
17 
18 
19 

9.70884 
.70887 
.70890 
.70893 

.51149 
.51153 
.51156 
.51160 

9.71068 
.71072 
.71075 
.71078 

.51367 
.51371 
.51374 

.51378 

9.71252 
.71255 
.71259 
.71262 

.51585 
.51589 
.51593 
.51596 

9.71436 
.71439 
.71442 
.71445 

.51803 
.61807 
.51810 
.61814 

9.71618 
.71621 
.71624 
.71627 

.52021 
.52025 

.52028 
.52032 

44 
43 
42 
41 
40 
39 
38 
37 

+      5' 
21 

22 
23 

9.70896 
.70899 
.70902 
.70905 

.51163 
.51167 
.51171 
.51174 

9.71081 
.71084 
.71087 
.71090 

.51383 
.51385 
.51389 
.51392 

9.71265 
.71268 
.71271 
.71274 

.51600 
.61603 
.51607 
.51611 

9.71448 
.71451 

.71454 
.71457 

.61818 
.61831 

.61836 
.51839 

9.71630 
.71633 
.71636 
.71639 

.63036 
.53039 
.53043 
.53047 

+      ^ 

25 
26 
27 

9.70908 
.70911 
.70914 
.70918 

.51178 
.51183 
.51185 
.51189 

9.71093 
.71096 
.71099 
.71102 

.51396 
.51400 
.51403 
.51407 

9.71277 
.71280 
.71283 
.71286 

.61614 
.61618 
.61631 
.51625 

9.71460 
.71463 
.71466 
.71469 

.51833 
.61836 
.61839 
.61843 

9.71642 
.71645 
.71648 
.71651 

.63050 
.53054 
.53057 
.63061 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.70921 
.70924 
.70927 
.70930 

.51193 
.51198 
.51300 
.51303 

9.71105 
.71108 
.71111 
.71114 

.51411 
.51414 
.51418 
.51433 

9.71289 
.71292 
.71295 
.71298 

.51629 
.51633 
.51636 
.51640 

9.71472 
.71475 
.71478 
.71481 

.51847 
.51850 
.51854 

.51858 

9.71654 
.71657 
.71660 
.71663 

.52065 
.52068 
.52072 
.52076 

32 
31 
30 

29 

+     8^ 
33 
34 
35 

9.70933 
.70936 
.70939 
.70942 

.51307 
.51311 
.51314 
.51318 

9.71118 
.71121 
.71124 
.71127 

.51425 
.51429 
.51432 
.51436 

9.71301 
.71304 
.71307 
.71311 

.61643 
.51647 
.51650 
.51654 

9.71484 
.71487 
.71490 
.71493 

.61861 
.61866 
.61869 
.51873 

9.71666 
.71670 
.71673 
.71676 

.62079 
.62083 

.52087 
.52090 

28 
27 
26 
25 

+     9" 

37 
38 
39 

9.70945 
.70948 
.70951 
.70955 

.51333 
.51335 
.51339 
.51333 

9.71130 
.71133 
.71136 
.71139 

.51440 
.51443 
.51447 
.51451 

9.71314 
.71317 
.71320 
.71323 

.51658 
.51661 
.61665 
.61669 

9.71496 
.71500 
.71503 
.71506 

.61876 
.51879 
.51883 

.51887 

9.71679 

.71682 
.71685 
.71688 

.62094 
.62097 
.62101 
.62105 

24 
23 
22 
21 

+  ir 

41 
42 
43 

9.70958 
.70961 
.70964 
.70967 

.51336 
.51340 
.51243 
.51247 

9.71142 
.71145 
.71148 
.71151 

.51454 
.51458 
.51462 
.51465 

9.71326 
.71329 
.71332 
.71335 

.51673 
.51676 
.51680 
.51683 

9.71509 
.71512 
.71515 
.71518 

.61890 
.61894 
.51898 
.51901 

9.71691 
.71694 
.71697 
.71700 

.53108 
.53113 
.63116 
.63119 

20 
19 
18 
17 

+    11^ 

45 
46 
47 

9.70970 
.70973 
.70976 
.70979 

.51351 
.51254 

.51258 
.51362 

9.71154 
.71157 
.71161 
.71164 

.51469 
.51472 
.51476 
.51480 

9.71338 
.71341 
.71344 
.71347 

.61687 
.61690 
.51694 
.51698 

9.71521 
.71524 
.71527 
.71530 

.51905 
.61908 
.51913 
.51916 

9.71703 
.71706 
.71709 

.71712 

.53133 
.52136 
.53130 
.53134 

16 
15 
14 
13 

49 
50 
51 

9.70982 
.70985 
.70988 
.70992 

.51365 
.51369 
.51373 
.51376 

9.71167 
.71170 
.71173 
.71176 

.51483 
.51487 
.51491 
.51494 

9.71350 
.71353 
.71356 
.71359 

.61701 
.51705 
.51709 
.51713 

9.71533 
.71536 
.71539 
.71542 

.51919 
.51933 
.51937 
.51930 

9.71715 

:.71718 

;. 71721 
.71724 

.53137 
.63141 
.63145 
.53148 

12 

11 

10 

9 

+  13^ 

53 
54 
55 

9.70995 
.70998 
.71001 
.71004 

.51280 
.51383 

.51287 
.51291 

9.71179 
.71182 
.71185 
.71188 

.51498 
.51501 
.51505 
.51508 

9.71362 
.71365 
.71369 
.71372 

.61716 
.51730 
.51723 

.51737 

9.71545 
.71548 
.71551 
.71554 

.51934 
.51938 
.51941 
.51946 

9.71727 
.71730 
.71733 
.71736 

.63153 
.63166 
.53159 
.53163 

8 

'  7 

6 

5 

+  W 

57 
58 
59 

9.71007 
.71010 
.71013 
.71016 

.51294 
.51298 
.51303 
.51305 

9.71191 
.71194 
.71197 
.71200 

.51513 
.51516 
.51530 
.51533 

9.71375 
.71378 
.71381 
.71384 

.51730 
.51734 
.61738 
.51741 

9.71557 
.71560 
.71563 
.71566 

.51948 
.51953 
.51956 
.51959 

9.71739 

.71742 
.71745 
.71748 

.53166 
.53170 
.53174 
.53177 

4 
3 
2 
1 

4-  1^ 

9.71019 

.51309 

9.71203 

.61537 

9.71387 

.51745 

9.71569 

.61963 

9.71751 

.62181 

0 

17h 

54m 

17Ji  5Sm 

17h  52m 

17h  sm 

17h  som         1 

Page  118]                  TABLE  IV. 

Haversinea. 

s 

6ft  lOm  92°  sr 

6h  urn  93°  45/ 

6h  12m  930  0' 

6h  13m  93°  15' 

6ft  W^  93°  30' 

3 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
S 

9.71751 
.71754 
.71757 
.71760 

.52181 
.52185 
.53188 
.52192 

9.71932 
.71935 
.71938 
.71941 

.52399 
.52403 
.52406 
.52410 

9.72112 
.72115 
.72118 
.72121 

.52617 
.52620 
.52624 
.52628 

9.72292 
.72295 
.72298 
.72301 

.52835 

.52838 
.52842 
.52846 

9.72471 

.72474 
.72476 
.72479 

.53052 
.53056 
.53060 
.53063 

60 
59 
58 

57 

+    r 

5 
6 

7 

9.71763 
.71766 
.71769 

.71772 

.52196 
.52199 
.52203 
.52206 

9.71944 
.71947 
.71950 
.71953 

.52413 
.52417 
.52421 
.52424 

9.72124 
.72127 
.72130 
.72133 

.52631 
.52635 
.53639 
.52643 

9.72304 
.72307 
.72310 
.72313 

.53849 
.53853 
.52856 
.52860 

9.72482 
.72485 
.72488 
.72491 

.53067 
.53071 
,53074 
.53078 

56 
55 

54 
53 

+      r 

9 

10 

11 

9.71775 
.71778 
.71781 
.71784 

.62210 
.52214 
.52217 
.52221 

9.71956 
.71959 
.71962 
.71965 

.52428 
.52433 
.52435 
.52439 

9.72136 
.72139 

.72142 
.72145 

.52646 
.52649 
.52653 
.52657 

9.72316 
.72319 
.72322 
.72325 

.52864 
.52867 
.52871 

.52875 

9.72494 
.72497 
.72500 
.72503 

.53081 
.53085 
.53089 
.53092 

52 
51 
50 
49 

+      3' 

IS 
14 
15 

9.71787 
.71791 
.71794 
.71797 

.52225 
.52228 
.52232 
.52235 

9.71968 
.71971 
.71974 
.71977 

.52443 
.52446 
.52450 
.53453 

9.72148 
.72151 
.72154 
.72157 

.52660 
.52664 
.53668 
.53671 

9.72328 
.72331 
.72334 
.72337 

.52878 

.52882 
.52885 
.52889 

9.72506 
.72509 
.72512 
.72515 

.53096 
.53100 
.53103 
.53107 

48 
47 
46 
45 

+     4' 
17 
18 
19 

9.71800 
.71803 
.71806 
.71809 

.52239 
.52243 
.52246 
.52250 

9.71980 
.71983 
.71986 
.71989 

.52457 
.52461 
.52464 
.52468 

9.72160 
.72163 
.72166 
.72169 

.53675 
.52679 
.52682 
.52688 

9.72340 
.72343 
.72346 
.72349 

.52893 
.53896 
.53900 
.53904 

9.72518 
.72521 
.72524 

.72527 

.53110 
.53114 
.53118 
.53121 

44 
43 
42 
41 

+     5' 
21 

22 
23 

9.71812 
.71815 
.71818 
.71821 

.52254 
.52257 
.52261 
.52264 

9  71992 
.71995 
.71998 
.72001 

.52472 
.53475 
.52479 
.52482 

9.72172 
.72175 
.72178 
.72181 

.52689 
.52693 
.52697 
.52700 

9.72352 
.72354 
.72357 
.72360 

.53907 
.52911 
.52915 
.52918 

9.72530 
.72533 
.72536 
.72539 

.53125 
.53129 
.53132 
.53136 

40 
39 
38 
37 

+   6' 

25 
26 
27 

9.71824 
.71827 
.71830 
.71833 

.52268 
.52272 
.52275 
.52279 

9.72004 
.72007 
.72010 
.72013 

.52486 
.52490 
.52493 
.52497 

9.72184 
.72187 
.72190 
.72193 

.52704 
.52708 
.53711 
.53715 

9.72363 
.72366 
.72369 
.72372 

.52922 
.52925 
.52929 
.52933 

9.72542 
.72545 
.72548 
.72551 

.53140 
.53143 
.53147 
.53150 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.71836 
.71839 
.71842 
.71845 

.52283 
.52286 
.52290 
.52294 

9.72016 
.72019 
.72022 
.72025 

.52501 
.52504 
.52508 
.52511 

9.72196 
.72199 
.72202 
.72205 

.52718 
.52722 
.52726 
.53739 

9.72375 
.72378 
.72381 
.72384 

.52936 
.52940 
.52944 
.52947 

9.72554 
.72557 
.72560 
.72563 

.53154 
.53158 
.53161 
.53165 

32 
31 
30 
29 

+   8' 

33 
34 
35 

9.71848 
.71851 
.71854 
.71857 

.52297 
.52301 
.52304 
.52308 

9.72028 
.72031 
.72034 
.72037 

.52515 
.52519 
.52522 
.52526 

9.72208 
.72211 
.72214 
.72217 

.53733 
.53737 
.53740 
.52744 

9.72387 
.72390 
.72393 
.72396 

.52951 
.52954 
.52958 
.53963 

9.72565 
.72568 
.72571 
.72574 

.53169 
.53172 
.53176 
.53179 

28 

27 
26 

25 

24 
23 
22 
21 

+  ^ 

37 

38      • 
39 

9.71860 
.71863 
.71866 
.71869 

.52312 
.52315 
.52319 
.52323 

9.72040 
.72043 
.72046 
.72049 

.52530 
.52533 
.52537 
.52541 

9.72220 
.72223 
.72226 
.72229 

.52748 
.52751 
.52755 
.52758 

9.72399 
.72402 
.72405 
.72408 

.53965 
.53969 
.53973 
.53976 

9.72577 
.72580 

.72583 
.72586 

.53183 
.53187 
.53190 
.53194 

+  W 

41 

42 
45 

9.71872 
.71875 
.71878 
.71881 

.52326 
.52330 
.52334 
.52337 

9.72052 

.72055 
.72058 
.72061 

.52544 
.52548 
.52551 
.52555 

9.72232 
.72235 
.72238 
.72241 

.53762 
.52766 
.52769 
.52773 

9.72411 
.72414 
.72417 
.72420 

.53980 
.53983 
.52987 
.52991 

9.72589 
.72592 
.72595 
.72598 

.53198 
.53201 
.53205 
.53208 

20 
19 
IS 
17 

+    IV 

45 
4S 
47 

9.71884 
.71887 
.71890 
.71893 

.52341 
.52344 
.52348 
.52352 

9.72064 
.72067 
.72070 
.72073 

.52559 
.52562 
.52566 
.52570 

9.72244 
.72247 
.72250 
.72253 

.52776 
.52780 

.53784 
.53787 

9.72423 
.72426 
.72429 
.72432 

.52994 
.52998 
.53002 
.53005 

9.72601 
.72604 
.72607 
.72610 

.53212 
.53216 
.53219 
.53223 

16 
15 
14 
13 

+    12' 

49 
50 
51 

9.71896 
.71899 
.71902 
.71905 

.52355 
.52359 
.52363 
.52366 

9.72076 
.72079 

.72082 
.72085 

.52573 
.52577 
.53580 
.53584 

9.72256 
.72259 

.72262 
.72265 

.53791 
.53795 
.53798 
.53802 

9.72435 
.72438 
.72441 
.72444 

.53009 
.53013 
.53016 
.53020 

9.72613 
.72616 
.72619 
.72622 

.53227 
.53230 
.53234 
.63238 

12 

11 

10 

9 

+  13' 

53 
54 
55 

9.71908 
.71911 
.71914 
.71917 

.52370 
.52373 
.52377 
.52381 

9.72088 
.72091 
.72094 
.72097 

.53588 
.53591 
.53595 
.53599 

9.722G8 
,72271 
.72274 

.72277 

.52806 
.53809 
.53813 
.53816 

9.72447 
.72450 
.72453 
.72456 

.53033 
.53037 
.53031 
.53034 

9.72625 
.72628 
.72631 
.72634 

.53241 
.53245 
.53248 
.53262 

8 
7 
6 
5 

+    14' 

57 
58 
59 

9.71920 
.71923 
.71926 
.71929 

.52384 

.52388 
.52392 
.52395 

9.72100 
.72103 
.72106 
.72119 

.53603 
.53606 
.53610 
.53613 

9.72280 
.72283 
.72286 
.72289 

.52820 
.52824 

.52827 
.52831 

9.72459 
.72462 
.72465 
.72468 

.53038 
.53042 
.53045 
.53049 

9.72637 
.72640 
.72642 
.72645 

.55256 
.53269 
.63263 
.63267 

4 
S 

2 

1 

+  15' 

9.71932 

.52399 

9.72112 

.52617 

9.72292 

.52835 

9.72471 

.53052 

9.72648 

.53370 

0 

17h49m 

17^48^ 

IJh  47m 

17h46m 

17^  45m 

TABLE  IV.                  [Page  119 

Haversines. 

s 

6ft  lo^n  93°  45' 

eh  16m  94°  (y 

eh  17m  940 15/ 

eh  ism  94°  sr 

eh  19m  94°  45 

3 

Log.  Hav. 

Nat.  Hav 

Log.  Hav. 

Nat.  Hav 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav 

0 
1 

2 
3 

9.72648 
.72651 
.72654 
.72657 

.53270 
.53374 
.53377 
.53381 

9.72825 

.72828 
.72831 
.72834 

.53488 
.53491 
.53495 
.53499 

9.73002 
.73005 
.73008 
.73011 

.53705 
.53709 
.53713 
.53716 

9.73177 

.73180 
.73183 
.73186 

.53923 
.53927 
.53930 
.53934 

9.73352 
.73355 
.73358 
.73361 

.54140 
.54144 
.54148 
.54151 

60 
59 
58 

57 

5 
6 
7 

9.72660 
.72663 
.72666 
.72669 

.53385 

.53388 
.53393 
.53396 

9.72837 
.72840 
.72843 
.72846 

.53502 
.53506 
.53510 
.53513 

9.73014 
.73016 
.73019 
.73022 

.53730 
.53724 
.53727 
.53731 

9.73189 
.73192 
.73195 
.73198 

.53937 
.53941 
.53945 
.53948 

9.73364 
.73367 
.73370 
.73373 

.54155 
.54159 
.54163 
.54166 

56 
55 
54 
53 

1  +   3' 

.  9 
10 
11 

9.72672 

.72675 
.72678 
.72681 

.53399 
.53303 
.53306 
.53310 

9.72849 
.72852 
.72855 
.72858 

.53517 
.53520 
.53524 
.53528 

9.73025 
.73028 
.73031 
.73034 

.53734 
.53738 
.53742 
.53745 

9.73201 
.73204 
.73207 
.73209 

.53952 
.53956 
.53959 
.53963 

9.73375 
.73378 
.73381 
.73384 

.54169 
.54173 
.54177 
.54180 

52 
51 
50 
49 

+      3' 

13 
14 
15 

9.72684 
.72687 
.72690 
.72693 

.53314 
.53317 
.53331 
.53335 

9.72861. 
.72864 
.72867 
.72870 

.53531 
.53535 
.53539 
.53542 

9.73037 
.73040 
.73043 
.73046 

.53749 
.53753 
.53756 
.53760 

9.73212 

.73215 
.73218 
.73221 

.53966 
.53970 
.53974 
.53977 

9.73387 
.73390 
.73393 
.73396 

.54184 

.54188 
.54191 
.54195 

48 
47 
46 

45 

44 
43 
42 
41 

+      r 
17 
18 
19 

9.72696 
.72699 
.72702 
.72705 

.53328 
.53333 
.53335 
.53339 

9.72873 
.72876 
.72878 
.72881 

.53546 
.53549 
.53553 
.53557 

9.73049, 
.73052 
.73055 
.73057 

.53763 
.53767 
.53771 
.53774 

9.73224 
.73227 
.73230 
.73233 

.53981 
.53985 
.53988 
.53992 

9.73399 
.73402 
.73404 
.73407 

.54198 
.54202 
.54306 
.54209 

+      5' 

21 
22 
23 

9.72708 
.72710 
.72713 
.72716 

.53343 
.53346 
.53350 
.53354 

9.72884 
.72887 
.72890 
.72893 

.53560 
.53564 
.53568 
.53571 

9.73060 
.73063 
.73066 
.73069 

.53778 
.53782 
.53785 
.53789 

9.73236 
.73239 
.73242 
.73244 

.53995 
.53999 
.54003 
.54006 

9.73410 
.73413 
.73416 
.73419 

.54313 
.54317 
.54330 
.54334 

40 
39 
38 
37 

+   6' 

25 
26 

27 

9.72719 
.72722 
.72725 
.72728 

.53357 
.53361 
.53364 
.53368 

9.72896 
.72899 
.72902 
.72905 

.53575 
.53579 
.53582 
.53586 

9.73072 
.73075 
.75078 
.73081 

.53792 
.53796 
.53800 
.53803 

9.73247 
.73250 
.73253 
.73256 

.54010 
.54014 
.54017 
.54021 

9.73422 
.73425 
.73428 
.73431 

.54337 
.54331 
.54335 
.54338 

36 
35 
34 
33 
32 
31 
30 
29 

+    r 

29 
30 
31 

9.72731 
.72734 
.72737 
.72740 

.53373 
.53375 
..53379 
.53383 

9.72«08 
.72911 
.72914 
.72917 

.53589 
.53593 
.53597 
.53600 

9.73084 
.73087 
.73090 
.73093 

.53807 
.53811 
.53814 
.53818 

9.73259 
.73262 
.73265 
.73268 

.54024 
.54038 
.54033 
.54035 

9.73433 
.73436 
.73439 
.73442 

.54242 
.54245 
.54249 
.54253 

+      8' 
33 
34 
35 

9.72743 
.72746 
.72749 
.72752 

.53386 
.53390 
.53394 
.53397 

9.72920 
.72923 
.72926 
.72928 

.53604 
.53608 
.53611 
.53615 

9.73096 
.73098 
.73101 
.73104 

.53821 
.53825 
.53829 
.53832 

9.73271 
.73274 
.73277 
.73280 

.54039 
.54043 
.54046 
.54050 

9.73445 
.73448 
.73451 

.73454 

.54256 
.54260 
.54264 
.54267 

28 
27 
26 
25 

+      9" 

37 
38 
39 

9.72755 
.72758 
.72761 
.72764 

.53401 
.53404 
.53408 
.53413 

9.72931 
.72934 
.72937 
.72940 

.53618 
.53622 
.53626 
.53629 

9.73107 
.73110 
.73113 
.73116 

.53836 
.53840 
.53843 
.53847 

9.73282 

.73285 
.73288 
.73291 

.54053 
.54057 
.54061 
.54064 

9.73457 
.73460 
.73462 
.73465 

.54271 
.54274 
.54378 
.54282 

24 
23 
22 
21 

41 
42 
43 

9.72767 
.72770 
.72772 
.72775 

.53415 
.53419 
.53433 
.53436 

9.72943 
.72946 
.72949 
.72952 

.53633 
.53637 
.53640 
.53644 

9.73119 
.73122 
.73125 
.73128 

.53850 
.53854 

.53858 
.53861 

9.73294 
.73297 
.73300 
.73303 

.54068 
.54072 
.54075 
.54079 

9.73468 
.73471 

.73474 
.73477 

.54285 
.54289 
.54393 
.54296 

20 
19 
18 
17 

45 
46 

47 

9.72778 
.72781 

.72784 
.72787 

.53430 
.53433 
.53437 
.53441 

9.72955 
.72958 
.72961 
.72964 

.53647 
.53651 
.53655 
.53658 

9.73131 
.73134 
.73136 
.73139 

.53865 
.53869 
.53872 
.53876 

9.73306 
.73309 
.73311 
.73314 

.54082 
.54086 
.54090 
.54093 

9.73480 
.73483 
.73486 
.73489 

.54300 
.54303 
.54307 
.54311 

16 
15 
14 
13 

+  13' 

49 
50 
51 

9.72790 
.72793 
.72796 
.72799 

.53444 
.53448 
.53453 
.53455 

9.72967 
.72970 
.72972 
.72975 

.53663 
.53666 
.53669 
.53673 

9.73142 
.73145 
.73148 
.73151 

.53879 
.53883 

.53887 
.53890 

9.73317 
.73320 
.73323 
.73326 

.54097 
.54101 
.54104 
.54108 

9.73491 
.73494 
.73497 
.73500 

.54314 
.54318 
.54322 
.54325 

12 

11 

10 

9 

+  13' 

53 
54 
55 

9.72802 
.72805 
.72808 
.72811 

.53459 
.53463 
.53466 
.53470 

9.72978 
.72981 
.72984 
.72987 

.53676 
.53680 
.53684 
.53687 

9.73154 
.73157 
.73160 
.73163 

.53894 

.53898 
.53901 
.53905 

9.73329 
.73332 
.73335 
.73338 

.54111 
.54115 
.54119 
.54122 

9.73503 
.73506 
.73509 
.73512 

.54329 
.54332 
.54336 
.54340 

8 
7 
6 
5 

+    14' 

57 
58 
59 

9.72814 

.72817 
.72820 
.72823 

.53473 
.53477 
.53481 
.53484 

9.72990 
.72993 
.72996 
.72999 

.53691 
.53695 
.53698 
.53703 
.53705 

9.73166 
.73169 
.73172 
.73174 

.53908 
.53912 
.53916 
.53919 

9.73341 
.73343 
.73346 
.73349 

.54126 
.54130 
.54133 
.54137 

9.73515 
.73517 
.73520 
.73523 

.54343 
.54347 
.54351 
.54354 

4 
3 

2 
1 

+  15' 

9.72825 

.53488 

9.73002 

9.73177 

.53923 

9.73352 

.54140 

9.73526 

.54358 

0 

17^  44'^         1 

17h  43m         1 

17h  42m         1 

17h  41m 

17h  40m          1 

Page  120] 

TABLE  IV. 
Haversines. 

s 

Qh  20m 

95°  0' 

6h  21m  95°  15' 

Qh  22""<' 

95°  30' 

6h  23m  95°  45' 

gh  24^ 

96°  r 

s 

60 
59 
58 
57 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 

1 
2 
3 

9.73526 
.73529 
.73532 
.73535 

.54358 
.54361 
.543G5 
.54369 

9.73699 
.73702 
.73705 
.73708 

.54575 
.54579 
.54583 
.54586 

9.73872 
.73875 
.73878 
.73881 

.54793 
.54796 
.54800 
.54803 

9.74044 
.74047 
.74049 
.74052 

.55009 
.55013 
.55017 
.55030 

9.74215 
.74218 
.74220 
.74223 

.55226 
.55330 
.55334 
.56337 

+    r 

5 
6 
7 

9.73538 
.73541 
.73544 
.73546 

.54373 
.54376 
.54380 
.54383 

9.73711 
.73714 
.73717 
.73720 

.54590 
.54593 
.54597 
.54600 

9.73883 
.73886 
.73889 
.73892 

.54807 
.54810 
.54814 

.54818 

9.74055 
.74058 
.74061 
.74064 

.55024 
.55038 
.55031 
.55035 

9.74226 
.74229 
.74232 
.74235 

.55241 
.55245 
.55248 
.65252 

56 

55 
54 
53 

+    a' 

9 
10 
11 

9.73549 
.73552 
.73555 
.73558 

.54387 
.54390 
.54394 
.54398 

9.73722 
.73725 
.73728 
.73731 

.54604 
.54608 
.54611 
.54615 

9.73895 
.73898 
.73901 
.73903 

.54821 
.54825 

.54828 
.54832 

9.74067 
.74069 
.74072 
.74075 

.55038 
.55043 
.55046 
.55049 

9.74237 
.74240 
.74243 
.74246 

.55255 
.55259 
.55263 
.55266 

52 
51 
50 
49 

+  3' 

13 
14 
15 

9.73561 
.73564 
.73567 
.73570 

.54401 
.54405 
.54409 
.54412 

9.73734 
.73737 
.73740 
.73743 

.54619 
.54633 
.54636 
.54639 

9.73906 
.73909 
.73912 
.73915 

.54836 
.54839 
.54843 
.54847 

9.74078 
.74081 
.74084 
.74087 

.55053 
.55056 
.55060 
.55064 

9.74249 
.74252 
.74254 
.74257 

.66270 
.65273 
.55377 
.55381 

48 
47 
46 
45 

+     4' 

17 
18 
19 

9.73572 
.73575 
.73578 
.73581 

.54416 
.54419 
.54433 
.54437 

9.73746 
.73748 
.73751 
.73754 

.54633 
.54637 
.54640 
.54644 

9.73918 
.73921 
.73924 
.73926 

.54850 
.54854 

.54857 
.54861 

9.74089 
.74092 
.74095 
.74098 

.55067 
.55071 
.55075 
.55078 

9.74260 
.74263 
.74266 
.74269 

.55384 

.55388 
.65393 
.65295 

44 
43 
42 
41 

+     5^ 
21 
22 
23 

9.73584 
.73587 
.73590 
.73593 

.54430 
.54434 
.54437 
.54441 

9.73757 
.73760 
.73763 
.73766 

.54647 
.54651 
.54655 
.54658 

9.73929 
.73932 
.73935 
.73938 

.54865 

.54868 
.54872 
.54876 

9.74101 
.74104 
.74106 
.74109 

.55083 
.55085 
.55089 
.55093 

9.74272 
.74274 
.74277 
.74280 

.55399 
.65303 
.55306 
.55310 

40 
39 
38 

37 

+     6' 

25 
26 
27 

9.73596 
.73598 
.73601 
.73604 

.54445 
.54448 
.54453 
.54456 

9.73769 
.73771 

.73774 
.73777 

.54663 
.54666 
.54669 
.54673 

9.73941 
.73944 
.73946 
.73949 

.54879 

.54883 
.54886 
.54890 

9.74112 
.74115 
.74118 
.74121 

.55096 
.55100 
.55103 
.55107 

9.74283 
.74286 
.74289 
.74291 

.55313 
.55317 
.66330 
.65324 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.73607 
.73610 
.73613 
.73616 

.54459 
.54463 
.54466 
.54470 

9.73780 
.73783 
.73786 
.73789 

.54676 
.54680 
.54684 
.54687 

9.73952 
.73955 
.73958 
.73961 

.54894 
.54897 
.54901 
.54904 

9.74124 
.74126 
.74129 
.74132 

.55111 
.55114 
.65118 
.55133 

9.74294 
.74297 
.74300 
.74303 

.55328 
.65331 
.55335 
.55339 

32 
31 
30 
29 

+      8^ 

33 
34 
35 

9.73619 
.73622 
.73624 
.73627 

.54474 
.54477 
.54481 
.54485 

9.73792 
.73794 
.73797 
.73800 

.54691 
.54695 
.54698 
.54703 

9.73964 
.73967 
.73969 
.73972 

.54908 
.54912 
.54915 
.54919 

9.74135 
.74138 
.74141 
.74144 

.55125 
.55129 
.55132 
.65136 

9.74306 
.74308 
.74311 
.74314 

.55342 
.55346 
.55349 
.55353 

28 
27 
26 
25 

+     9^ 

37 
38 
39 

9.73630 
.73633 
.73636 
.73639 

.54488 
.54493 
.54495 
.54499 

9.73803 
.73806 
.73809 
.73812 

.54705 
.54709 
.54713 
.54716 

9.73975 
.73978 
.73981 
.73984 

.54923 
.54936 
.51930 
.51933 

9.74146 
.74149 
.74152 
.74155 

.55140 
.55143 
.55147 
.65150 

9.74317 
.74320 
.74323 
.74325 

.55357 
.55360 
.55364 
.55367 

24 
23 

22 
Tl 

+  10' 

41 

42 
4S 

9.73642 
.73645 
.73648 
.73650 

.54503 
.54506 
.54510 
.54514 

9.73815 
.73817 
.73820 
.73823 

.54730 
.54724 
.54737 
.54731 

9.73987 
.73989 
.73992 
.73995 

.54937 
.54941 
.54944 
.54948 

9.74158 
.74161 
.74163 
.74166 

.55154 
.55158 
.55161 
.55165 

9.74328 
.74331 
.74334 
.74337 

.55371 
.65375 
.55378 
.56382 

20 
19 
18 
17 

+  11^ 

45 
46 
47 

9.73653 
.73656 
.73659 
.73662 

.54517 
.54531 
.54534 
.54538 

9.73826 
.73829 
.73832 
.73835 

.54734 
.54738 
.54743 
.54745 

9.73998 
.74001 
.74004 
.74007 

.54953 
.54955 
.54959 
.54963 

9.74169 
.74172 
.74175 

.74178 

.65169 
.65172 
.55176 
.55179 

9.74340 
.74342 
.74345 
.74348 

.55386 
.65389 
.65393 
.55396 

16 
15 
14 
13 
12 
11 
10 
9 

+  ir 

49 
50 
51 

9.73665 
.73668 
.73671 
.73674 

.54533 
.54535 
.54539 
.54543 

9.73838 
.73840 
.73843 
.73846 

.54749 
.54753 
.54756 
.54760 

9.74009 
.74012 
.74015 
.74018 

.54966 
.54970 
.54973 
.54977 

9.74181 
.74183 
.74186 
.74189 

.55183 
.55187 
.55190 
.55194 

9.74351 

.74354 
.74357 
.74359 

.55400 
.55404 
.55407 
.55411 

+  13' 

53 
54 
55 

9.73676 
.73679 
.73682 
.73685 

.54546 
.54550 
.54553 
.54557 

9.73849 
.73852 
.73855 
.73858 

.54763 
.54767 
.54771 
.54774 

9.74021 
.74024 
.74027 
.74029 

.54980 
.54984 
.54988 
.54991 

9.74192 
.74195 
.74198 
.74200 

.55197 
.55201 
.65205 
.55208 

9.74362 
.74365 
.74368 
.74371 

.55414 
.55418 
.55422 
.65425 

8 

1 

6 
5 

+    1¥ 

57 
58 
59 

9.73688 
.73691 
.73694 
.73697 

.54561 
.54564 
.54668 
.54571 

9.73860 
.73863 
.73866 
.73869 

.54778 
.54781 
.54785 
.54789 

9.74032 
.74035 
.74038 
.74041 

.54995 
.54999 
.55003 
.55006 

9.74203 
.74206 
74209 
.74212 

.55212 
.55216 
.66219 
.65223 

9.74374 
.74376 
.74379 

.74382 

.55429 
.55433 
.66436 
.55440 

4 
3 

2 
"1 

+    IS' 

9.73699 

.54575 

9.73872 

.54793 

9.74044 

.55009 

9.74215 

.55326 

9.74385 

.55443 

0 

_ 

17 fi  39m 

nhssm 

nu  37m 

17^  36m 

i7ft  SS-m 

TABLE  IV. 

Haversines. 

[Page  121 

s 

6h  25m  96°  15' 

6ft  26m  96°  30' 

6h  27m  96°  45' 

6ft  28m  97°  Q' 

Oh  ogm  97°  15' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 

1 
2 
3 

9.74385 
.74388 
.74391 
.74393 

.55443 
.55447 
.55451 
.55454 

9.74554 
.74557 
.74560 
.74563 

.55660 
.55664 
,55667 
.55671 

9.74723 
.74726 
.74729 
.74732 

.55877 
.55880 
.55884 
.55888 

9.74891 
.74894 
.74897 
.74900 

.56093 
.56097 
.56101 
.56104 

9.75059 
.75061 
.75004 
.75067 

.56310 
.56314 
.56317 
.56321 

60 
59 
58 
57 

+    r 

5 
6 

7 

9.7439(3 
.74399 
.74402 
.74405 

.55458 
.55461 
.55465 
.55469 

9.74566 
.74569 
.74571 
.74574 

.55675 
.55678 

.55683 
.55685 

9.74734 
.74737 
.74740 
.74743 

.55891 
.55895 
.55899 
.55903 

9.74902 
.74905 
.74908 
.74911 

.56108 
.56113 
.56115 
.56119 

9.75070 
.75072 
.75075 
.75078 

.56324 
.56328 
.56332 
.56335 

56 
55 
54 
53 

+    r 

9 
10 
11 

9.74408 
.74410 
.74413 
.74416 

.55473 
.55476 
.55479 
.55483 

9.74577 
.74580 
.74583 
.74585 

.55689 
.55693 
.55696 
.55700 

9.74746 
.74748 
.74751 
.74754 

.55906 
.55909 
.55913 
.55917 

9.74914 
.74916 
.74919 
.74922 

.56133 
.56136 
.56130 
.56133 

9.75081 

.75084 
.75086 
.75089 

.56339 
.56343 
.56346 
.56350 

52 
51 
50 
49 

+      3' 

13 
14 
15 

9.74419 

.74422 
.74425 
.74427 

.55487 
.55490 
.55494 
.55498 

9.74588 
.74591 
.74594 
.74597 

.55704 
.55707 
.55711 
.55714 

9.74757 
.74760 
.74762 
.74765 

.55920 
.55924 
.55927 
.55931 

9.74925 
.74928 
.74930 
.74933 

.56137 
.56140 
.56144 
.56147 

9.75092 
.75095 
.75097 
.75100 

.56353 
.56357 
.56360 
.56364 
.56368 
.56371 
.56375 
.56378 

Jy8 
47 
46 
45 

44 
43 
42 
41 
40 
39 
38 
37 
36 
35 
34 
33 

+      i' 

17 
18 
19 

9.74430 
.74433 
.74436 
.74439 

.55501 
.55505 
.55508 
.55513 

9.74600 
.74602 
.74605 
.74603 

.55718 
.55723 
.55725 
.55729 

9.74768 
.74771 
.74774 
.74776 

.55935 
.55938 
.55943 
.55945 

9.74936 
.74939 
.74941 
.74944 

.56151 
.56155 
.56158 
.56162 

9.75103 
.75106 
.75109 
.75111 

+  5' 

21 

22 
23 

9.74442 
.74444 
.74447 
.74450 

.55516 
.55519 
.55523 
.55526 

9.74611 
.74614 
.74616 
.74619 

.55733 
.55736 
.55740 
.55743 

9.74779 

.74782 
.74785 
.74788 

.55949 
.55953 
.55956 
.55960 

9.74947 
.74950 
.74953 
.74955 

.56166 
.56169 
.56173 
.56176 

9.75114 
.75117 
.75120 
.75122 

.56383 
.56386 
.56389 
.56393 
.56397 
.56400 
.56404 
.56407 

+   6' 

25 
26 
27 

9.74453 
.74456 
.74458 
.74461 

.55530 
.55534 
.55537 
.55541 

9.74622 
.74625 
.74628 
.74630 

.55747 
.55750 
.55754 

.55758 

9.74791 
.74793 
.74796 
.74799 

.55964 
.55967 
.55971 
.55974 

9.74958 
.74961 
.74964 
.74967 

.56180 
.56184 
.56187 
.56191 

9.75125 
.75128 
.75131 
.75134 

+    r 

29 
SO 
31 

9.74464 
.74467 
.74470 
.74473 

.55545 
.55548 
.55553 
.55555 

9.74633 
.74636 
.74639 
.74642 

.55761 
.55765 
.55769 
.55773 

9.74802 
.74805 
.74807 
.74810 

.55978 
.55983 
.55985 
.55989 

9.74969 
.74972 
.74975 
.74978 

.56195 
.56198 
.56203 
.56305 

9.75136 
.75139 
.75142 
.75145 

.56411 
.56415 
.56418 
.56423 

32 
3^1 
30 

29 

+   8' 

33 
34 
35 

9.74475 
.74478 
.74481 
.74484 

.55559 
.55563 
.55566 
.55570 

9.74645 
.74647 
.74650 
.74653 

.55776 
.55779 
.55783 

.55787 

9.74813 
.74816 
.74819 

.74821 

.55993 
.55996 
.56000 
.56003 

9.74981 
.74983 
.74986 
.74989 

.56309 
.56313 
.56316 
.56330 

9.75147 
.75150 
.75153 
.75156 

.56435 
.56439 
.56433 
.56436 

28 

27 
26 

25 

+   9' 

37 
38 
39 

9.74487 
.74490 
.74492 
.74495 

.55573 
.55577 
.55581 
.55584 

9.74656 
.74659 
.74661 
.74664 

.55790 
.55794 
.55797 
.55801 

9.74824 
.74827 
.74830 
.74833 

.56007 
.56010 
.56014 
.56018 

9.74992 
.74994 
.74997 
.75000 

.56333 
.56337 
.56331 
.56334 

9.75159 
.75161 
.75104 
.75107 

.56440 
.56443 
.56447 
.56451 

24 
23 
22 
21 
20 
19 
18 
17 

+  W 

41 

42 
43 

9.74498 
.74501 
.74504 
.74506 

.55588 
.55592 
.55595 
.55599 

9.74667 
.74670 
.74673 
.74675 

.55805 
.55808 
.55813 
.55815 

-9.74835 
.74838 
.74841 
.74844 

.56031 
.56035 
.56039 
.56033 

9.75003 
.75006 
.75008 
.75011 

.56338 
.56241 
.56245 
.56349 

9.75170 
.75172 
.75175 
.75178 

.56454 
.56458 
.56461 
.56465 

+  11^ 

45 
46 

47 

9.74509 
.74512 
.74515 
.74518 

.55603 
.55606 
.55610 
.55613 

9.74678 
.74681 
.74684 
.74687 

.55819 
.55833 
.55836 
.55830 

9.74846 
.74849 

.74852 
.74855 

.56036 
.56039 
.56043 
.56047 

9.75014 
.75017 
.75020 
.75022 

.56353 
.56256 
.56259 
.56263 

9.75181 
.75183 
.75186 
.75189 

.56469 
.56473 
.56476 
.56479 

16 
15 
14 
13 
12 
11 
10 
9 

+  ir 

49 
50 
51 

9.74521 
.74523 
.74526 
.74529 

.55617 
.55630 
.55634 
.55638 

9.74690 
.74692 
.74695 
.74698 

.55834 
.55837 
.55841 
.55844 

9.74858 
.74860 
.74863 
.74866 

.56050 
.56054 
.56057 
.56061 

9.75025 
.75028 
.75031 
.75033 

.56367 
.56370 
.56374 
.56377 

9.75192 
.75195 
.75197 
.75200 

.56483 
.56487 
.56490 
.56494 

+    13' 

53 

54 
55 

9.74532 
.74535 
.74538 
.74540 

.55631 
.55635 
.55638 
.55643 

9.74701 
.74704 
.74706 
.74709 

.55848 
.55853 
.55855 
.55859 

9.74869 

.74872 
.74874 
.74877 

.56065 
.56068 
.56073 
.56075 

9.75036 
.75039 
.75042 
.75045 

.56381 
.56385 

.56388 
.56393 

9.75203 
.75206 
.75208 
.75211 

.56497 
.56501 
.56505 
.56508 

8 
7 
6 
5 
4 
3 
2 
1 
0 

>  14' 

57 
58 
59 

9.74543 
.74546 
.74549 
.74552 

.55646 
.55649 
.55653 
.55657 

9.74712 
.74715 
.74718 
.74720 

.55863 
.55866 
.55870 
.55873 

9.74880 
.74883 
.74886 
.74888 

.56079 
.56083 
.56086 
.56090 

9.75047 
.75050 
.75053 
.75056 

.56296 
.56299 
.56303 
.56306 

9.75214 
.75217 
.75220 
.75222 

.56513 
.56516 
.56519 
.56533 

+  15' 

9.74554 

.55660 

9.74723 

.55877 

9.74891 

.56093 

9.75059 

.56310 

9.75225 

.56536 

17h 

34"^ 

l^h  ssm 

17h32m 

17h 

Sim 

17h  30m 

Page  122] 

TABLE  IV. 

Havereinea. 

s 

6h  som  97°  3(K 

en  Sim 

97°  45' 

6h  32m  98°  0' 

6h  33m 

98°  15' 

eh  34m 

98°  30' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 

5 

9.75225 
.75228 
.75231 
.75233 

.56536 
.56530 
.56534 
.56537 

9.75391 
.75394 
.75396 
.75399 

.56743 
.56746 
.56750 
.56753 

9.75556 
.75559 
.75561 
.75564 

.56959 
.56963 
.56966 
.56969 

9.75720 
.75723 
.75726 
.75729 

.57175 
.57178 
.57183 
.57185 

9.75884 
.75887 
.75889 
.75892 

.57390 
.57394 
.57398 
.57401 

60 
59 
58 

57 

+  V 

5 
6 
7 

9.75236 
.75239 
.75242 

.75244 

.56541 
.56544 
.56548 
.56553 

9.75402 
.75405 
.75407 
.75410 

.56757 
.56761 
.56764 
.56768 

9.75507 
.75570 
.75572 
.75575 

.56973 
.56977 
.56980 
.56984 

9.75731 
.75734 
.75737 
.75739 

.57189 
.57193 
.57196 
.57300 

9.75895 
.75898 
.75900 
.75903 

.57405 
.67408 
.57413 
.57416 

56 
55 

54 
53 

+     V 

9 

10 
11 

9.75247 
.75250 
.75253 
.75256 

.56555 
.56559 
.56563 
.56566 

9.75413 
.75416 
.75418 
.75421 

.56771 
.56775 
.56779 
.56783 

9.75578 
.75581 
.75583 
.75586 

.56987 
.56991 
.56994 
.56998 

9.75742 
.75745 
.75748 
.75750 

.57303 
.57307 
.57311 
.57314 

9.75906 
.75908 
.75911 
.75914 

.57419 
.57433 
.57436 
.57430 

52 
51 
50 
49 

+    r 

13 
14 
15 

9.75258 
.75261 
.75264 
.75267 

.56570 
.56573 
.56577 

.56580 

9.75424 

.75427 
.75429 
.75432 

.56786 
.56789 
.56793 
.56797 

9.75589 
.75592 
.75594 
.75597 

.57003 
.57005 
.57009 
.57013 

9.75753 
.75756 
.75759 
.75761 

.57318 
.57331 
.57335 
.57339 

9.75917 
.75919 
.75922 
.75925 

.57434 
.57437 
.57441 
.57444 

48 
47 
46 
45 

n 

18 
19 

9.75269 

.75272 
.75275 
.75278 

.56584 

.56588 
.56591 
.56595 

9.75435 
.75438 
.75440 

.75443 

.56800 
.56804 
.56807 
.56811 

9.75600 
.75603 
.75605 
.75608 

.57016 
.57030 
.57033 
.57037 

9.75764 
.75767 
.75770 
.75772 

.57333 

.57336 

^7339 

.57343 

9.75927 
.75930 
.75933 
.75936 

.57448 
.57453 
.57455 
.57459 

U 

43 
42 
41 

+      5' 

21 
22 
23 

9.75280 
.75283 
.75286 
.75289 

.56598 
.56603 
.56606 
.56609 

9.75446 
.75449 
.75452 
.75454 

.56815 
.56818 

.56833 
.56835 

9.75611 
.75614 
.75616 
.75619 

.57031 
.57034 
.57038 
.57041 

9.75775 
.75778 
.75780 
.75783 

.57347 
.57350 
.57354 
.57357 

9.75938 
.75941 
.75944 
.75947 

.57463 
.57466 
.57470 
.57473 

40 
39 
38 
37 

+      ^ 

25 
26 
27 

9.75291 
.75294 
.75297 
.75300 

.56613 
.56616 
.56630 
.56634 

9.75457 
.75460 
.75463 
.75465 

.56839 
.56833 
.56836 
.56840 

9.75622 
.75625 
.75627 
.75630 

.57045 
.57049 
.57053 
.57056 

9.75786 
.75789 
.75791 
.75794 

.57361 
.57365 
.57368 
.57373 

9.75949 
.75952 
.75955 
.75957 

.57477 
.57480 
.57484 

.57488 

36 
36 
34 
33 

+    r 

29 
30 
31 

9.75303 
.75305 
.75308 
.75311 

.56637 
.56631 
.56634 
.5663S 

9.75468 
.75471 
.75474 
.75476 

.56843 
.56847 
.56851 
.56854 

9.75633 
.75636 
.75638 
.75641 

.57059 
.57063 
.57067 
.57070 

9.75797 
.75800 
.75802 
.75805 

.57375 

.57379 
.57383 
.57386 

9.75960 
.75963 
.75966 
.75968 

.57491 
.57495 
.57498 
.57503 

32 
31 
30 
29 

+      S' 
33 
34 
35 

9.75314 
.75316 
.75319 

.75322 

.56643 
.56645 
.56649 
.56653 

9.75479 
.75482 
.75485 
.75487 

.56858 
.56861 
.56865 
.56869 

9.75644 
.75646 
.75649 
.75652 

.57074 
.57077 
.57081 
.57085 

9.75808 
.75810 
.75813 
.75816 

.57390 
.57393 
.57397 
.57301 

9.75971 
.75974 
.75976 
.75979 

.57506 
.57509 
.57513 
.57516 

28 
27 
26 
25 

+      ^ 

37 
38 
39 

9.75325 
.75327 
.75330 
.75333 

.56656 
.56660 
.56663 
.56667 

9.75490 
.75493 
.75496 
.75498 

.56873 
.56876 
.56879 
.56883 

9.75655 
.75657 
.75660 
.75663 

.57088 
.57093 
.57095 
.57099 

9.75819 

.75821 
.75824 
.75827 

.57304 
.57308 
.57311 
.57315 

9.75982 
.75985 
.75987 
.75990 

.57530 
.57534 
.57537 
.57531 

24 
23 
22 
21 

+  W 

41 
42 
43 

9.75336 
.75338 
.75341 
.75344 

.56670 
.56674 
.56678 
.56681 

9.75501 
.75504 
.75507 
.75509 

.56887 
.56890 
.56894 
.56897 

9.75666 
.75668 
.75671 
.75674 

.57103 
.57106 
.57110 
.57114 

9.75830 
.75832 
.75835 
.75838 

.57318 
.57333 
.57336 
.57339 

9.75993 
.75995 
.75935 
.76001 

.57534 
.57538 
.57541 
.57545 

20 
19 
18 
17 

+    11' 

45 
46 

47 

9.75347 
.75350 
.75352 
.75355 

.56685 
.56689 
.56693 
.56696 

9.75512 
.75515 
.75518 
.75520 

.56901 
.56905 
.56908 
.56913 

9.75677 
.75679 
.75682 
.75685 

.57117 
.57131 
.57134 
.57138 

9.75840 
.75843 
.75846 
.75849 

.57333 
.57337 
.57340 
.57344 

9.76004 
.76006 
.76009 
.76012 

.57549 
.57553 
.57556 
.57559 

16 
15 

14 
13 

+  n' 

49 
50 
51 

9.75358 
.75361 
.75363 
.75366 

.56699 
.56703 
.56707 
.56710 

9.75523 
.75526 
.75529 
.75531 

.56915 
.56919 
.56933 
.56936 

9.75688 
.75690 
.75693 
.75696 

.57131 
.57135 
.57139 
.57143 

9.75851 
.75854 
.75857 
.75859 

.57347 
.57351 
.57355 
.57358 

9.76014 
.76017 
.76020 
.76023 

.57563 
.57567 
.57570 
.57574 

12 

11 

10 

9 

+  13' 

53 
54 
55 

9.75369 
.75372 
.75374 
.75377 

.56714 
.56717 
.56731 
.56735 

9.75534 
.75537 
.75540 

.75542 

.56930 
.56933 
.56937 
.56941 

9.75698 
.75701 
.75704 
.75707 

.57146 
.57149 
.57153 
.57157 

9.75862 
.75865 
.75868 
.75870 

.57363 
.57365 
.57369 
.57373 

9.76025 
.76028 
.76031 
.76033 

.57577 
.57581 

.57585 
.57588 

8 
7 
6 
5 

+    W 

57 
58 
59 

9.75380 
.75383 
.75385 
.75388 

.56738 
.56733 
.56735 
.56739 

9.75545 
.75548 
.75550 
.75553 

.56944 
.56948 
.56951 
.56955 

9.75709 
.75712 
.75715 
.75718 

.57160 
.57164 
.57167 
.57171 

9.75873 
.75876 
.75879 
.75881 

.57376 
.57380 
.57383 
.57387 

9.76036 
.76039 
.76041 
.76044 

.57593 
.57595 
.57599 
.57603 

4 
S 
2 
1 

+    15' 

9.75391 

.56743 

9.75556 

.56959 

9.75720 

.57175 

9.75884 

.57390 

9.76047 

.57606 

0 

17h29m         1 

17^  28m 

17h 

gym 

17h 

?6m 

17h  25m         1 

TABLE  IV.                 [Page  123 

Haversines. 

s 

6ft  S5m  98°  45' 

6h  36m  990  0' 

6h  ,37m  990  15' 

6ft  38m  990  30' 

6ft  S9m  99°  45' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 

1 
2 
3 

9.76047 
.76050 
.76052 
.76055 

.57606 
.57610 
.57613 
.57617 

9.76209 
.76212 
.76215 
.76217 

.57833 
.57835 
.57839 
.57833 

9.76371 
.76373 
.76376 
.76379 

.58037 
.58041 
.58044 
.58048 

9.76531 
.76534 
.76537 
.76539 

.58353 
.58356 
.58360 
.58363 

9.76691 
.76694 
.76697 
.76699 

.58467 
.58471 
.58475 

.58478 

60 
59 
58 
57 

+    r 

5 
6 
7 

9.76058 
.76060 
.76063 
.76066 

.57631 
.57634 
.57638 
.57631 

9.76220 
.76223 
.76225 
.76228 

.57836 
.57840 
.57843 

.57847 

9.76381 
.76384 
.76387 
.76389 

.58051 
.58055 
.58059 
.58063 

9.76542 

.76545 
.76547 
.76550 

.58367 
.58370 

.58374 
.58377 

9.76702 
.76705 
.76707 
.76710 

.58483 
.58486 
.68489 
.58493 

56 
55 
54 
53 

9 
10 
11 

9.76069 
.76071 
.76074 
.76077 

.57635 
.57639 
.57643 
.57646 

9.76231 
.76233 
.76236 
.76239 

.57850 
.57854 

.57858 
.57861 

9.76392 
.76395 
.76397 
.76400 

.58066 
.58069 
.58073 
.58077 

9.76553 
.76555 
,76558 
.76561 

.58381 
.58385 
.58388 
.58393 

9.76713 
.76715 
.76718 
.76721 

.58496 
.58500 
.58503 
.58507 

52 
51 
50 
49 
48 
47 
46 
45 

+      3' 

IS 
14 
15 

9.76079 
.76082 
.76085 
.76088 

.57649 
.57653 
.57656 
.57660 

9.76241 
.76244 
.76247 
.76250 

.57865 

.57868 
.57873 
.57876 

9.76403 
.76405 
.76408 
.76411 

.58080 
.58084 
.58087 
.58091 

9.76563 
.76566 
.76569 
.76571 

.58395 
.58399 
.58303 

.58306 

9.76723 
.76726 
.76729 
.76731 

.58510 
.58614 

.58618 
.58531 

+      4' 
17 
18 
19 

9.76090 
.76093 
.76096 
.76098 

.57661 
.57667 
.57671 
.57675 

9.76252 
.76255 
.76258 
.76260 

.57879 

.57883 
.57886 
.57890 

9.76414 
.76416 
.76419 
.76422 

.58095 
.58098 
.58103 
.58105 

9.76574 
.76577 
.76579 
.76582 

.58310 
.58313 
.58317 
.58331 

9.76734 
.76737 
.76739 
.76742 

.58535 

.58538 
.58533 
.58636 

44 
43 
42 
41 
40 
39 
38 
37 
36 
35 
34 
33 
32 
31 
30 
29 
28 
27 
26 
25 

+     5' 

21 
22 
23 

9.76101 
.76104 
.76106 
.76109 

.57678 
.57683 
.57685 
.57689 

9.76263 
.76266 
.76268 
.76271 

.57894 
.57897 
.57901 
.57904 

9.76424 
.76427 
.76430 
.76432 

.58109 
.58113 
.58116 
.58130 

9.76585 
.76587 
.76590 
.76593 

.58334 

.58338 
.58331 
.58335 

9.76745 
.76747 
.76750 
.76753 

.58639 
.68643 
.68646 
.68550 

+      6' 

25 
26 
27 

9.76112 
.76115 
.76117 
.76120 

.57693 
.57696 
.57700 
.57703 

9.76274 
.76276 
.76279 

.76282 

.57908 
.57911 
.57915 
.57919 

9.76435 
.76438 
.76440 
.76443 

.58133 
.58137 
.58130 
.58134 

9.76595 
.76598 
.76601 
.76603 

.58338 
.58343 
.58346 
.58349 

9.76755 
.76758 
.76761 
.76763 

.68663 

.68657 
.58561 
.68664 
.68668 
.58671 
.58575 
.68579 

+    r 

29 
30 
31 

9.76123 
.76125 
.76128 
.76131 

.57707 
.57710 
.57714 
.57718 

9.76285 
.76287 
.76290 
.76293 

.57933 
.57936 
.57939 
.57933 

9.76446 
.76448 
.76451 
.76454 

.58138 
.58141 
.58145 

.58148 

9.76606 
.76609 
.76611 
.76614 

.58353 
.58356 
.58360 
.58364 

9.76766 
.76769 
.76771 
.76774 

+   8' 

33 
34 
35 

9.76134 
.76136 
.76139 
.76142 

.57731 
.57735 
.57738 
.57733 

9.76296 
.76298 
.76301 
.76303 

.57937 
.57940 
.57944 
.57947 

9.76456 
.76459 
.76462 
.76464 

.58153 
.58156 
.58159 
.58163 

9.76617 
.76619 
.76622 
.76625 

.58367 
.58371 
.58374 

.58378 

9.76777 
.76779 
.76782 
.76784 

.68683 
.68586 
.58589 
.58595 

+      r 

37 

9-38 

39 

9.76144 
.76147 
.76150 
.76152 

.57736 
.57739 
.57743 
.57746 

9.76306 
.76309 
.76311 
.76314 

.57951 
.57955 
.57958 
.57963 

9.76467 
.76470 
.76473 
.76475 

.58166 
.58170 
.58173 

.58177 

9.76627 
.76630 
.76633 
.76635 

.58381 

.58385 
.58389 
.58393 

9.76787 
.76790 
.76792 
.76795 

.68696 
.68600 
.58604 
.58607 

24 
23 
22 
21 

+  W 

41 
42 
43 

9.76155 
.76158 
.76161 
.76163 

.57750 
.57753 
.57757 
.57761 

9.76317 
.76320 
.76322 
.76325 

.57965 
.57969 
.57973 
.57976 

9.76478 
.76481 
.76483 
.76486 

.58181 

.58184 
.58188 
.58191 

9.76638 
.76641 
.76643 
.76646 

.58396 
.58399 
.58403 
.58407 

9.76798 
.76800 
.76803 
.76806 

.58611 
.58614 
.58618 
.68633 

20 
19 
18 
17 

+  11^ 

45 
46 
47 

9.76166 
.76169 
.76171 
.76174 

.57764 
.57768 
.57771 
.57775 

9.76328 
.76330 
.76333 
.76336 

.57980 
.57983 
.57987 
.57990 

9.76489 
.76491 
.76494 
.76497 

.58195 
.58199 
.58303 
.58306 

9.76649 
.76651 
.76654 
.76657 

.58410 
.58414 
.58417 
.58431 

9.76808 
.76811 
.76814 
.76816 

.68635 
.58639 
.68633 
.68636 

16 

15 

14 

13 

12 

11 

10 

9 

8 

7 

6 

5 

+  n' 

49 
50 
51 

9.76177 
.76179 
.76182 
.76185 

.57779 

.57783 
.57786 
.57789 

9.76338 
.76341 
.76344 
.76346 

.57994 
.57998 
.58001 
.58005 

9.76499 
.76502 
.76505 
.76507 

.58309 
.58313 
.58317 
.58330 

9.76659 
.76662 
.76665 
.76667 

.58434 

.58438 
.58433 
.58435 

9.76819 
.76822 
.76824 
.76827 

.58639 
.68643 
.58647 
.68650 

+  13' 

53 
54 
55 

9.76188 
.76190 
.76193 
.76196 

.57793 
.57797 
.57800 
.57804 

9.76349 
.76352 
.76354 
.76357 

.68008 
.58013 
.58016 
.58019 

9.76510 
.76513 
.76515 
.76518 

.58334 

.58337 
.58331 
.58334 

9.76670 
.76673 
.76675 
.76678 

.58439 
.58443 
.58446 
.58450 

9.76830 
.76832 
.76835 
.76838 

.68654 
.58667 
.68661 
.58665 

+  W 

57 
58 
59 

9.76198 
.76201 
.76204 
.76206 

.57807 
.57811 
.57815 

.57818 

9.76360 
.76363 
.76365 
.76368 

.58033 
.58036 
.58030 
.58034 

9.76521 
.76523 
.76526 
.76529 

.58338 
.58343 
.58345 
.58349 

9.76681 
.76683 
.76686 
.76689 

.58453 
.58457 
.58460 
.58464 

9.76840 
.76843 
.76845 
.76848 

.58668 
.58671 
.68675 
.58679 

4 
3 

2 
1 

+  15' 

9.76209 

.57833 

9.76371 

.58037 

9.76531 

.58353 

9.76691 

.58467 

9.76851 

.58683 

0 

nn  24m        1 

17h  23m         1 

17h  22^         1 

17h  21m         1 

17h  20m         1 

Page  124] 

TABLE 

IV. 

Haversinea. 

3 

6h  40m  100°  r 

6^41^ 

100°  15' 

6h42m 

100°  sr 

6h  4Sm  100°  45' 

6k  44m 

101°  0' 

s 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

0 

9.76851 

.58683 

9.77009 

.58897 

9.77167 

.59112 

9.77325 

.59336 

9.77481 

.59540 

60 

1 

.76853 

.58686 

.77012 

.58901 

.77170 

.59115 

.77327 

.59330 

.77484 

.59544 

59 

2 

.76856 

.58690 

.77015 

.58904 

.77173 

.59119 

.77330 

.59333 

.77480 

.59548 

58 

S 

.76859 

.58693 

.77017 

.58908 

.77175 

.59122 

.77333 

.59337 

.77489 

.59551 

57 

+    r 

9.76861 

.58697 

9.77020 

.58911 

9.77178 

.59126 

9.77335 

.59340 

9.77492 

.59555 

56 

5 

.76864 

.58700 

.77023 

.58915 

.77181 

.59130 

.77338 

.59344 

.77494 

.59558 

55 

6 

.76867 

.58704 

.77025 

.58919 

.77183 

.59133 

.77340 

.59348 

.77497 

.59563 

54 

7 

.76869 

.58707 

.77028 

.58923 

.77186 

.59137 

.77343 

.59351 

.77499 

.59565 

53 

+    r 

9.76872 

.58711 

9.77031 

.58926 

9.77188 

.59140 

9.77346 

.59355 

9.77502 

.59569 

52 

9 

.76875 

.58714 

.77033 

.58939 

.77191 

.59144 

.77348 

.59358 

.77505 

.59573 

51 

10 

.76877 

.58718 

.77036 

.58933 

.77194 

.59148 

.77351 

.59363 

.77507 

.59576 

50 

11 

.76880 

.58732 

.77038 

.58937 

.77196 

.59151 

.77353 

.59365 

.77510 

.59580 

49 

+  3^ 

9.76883 

.58735 

9.77041 

.58940 

9.77199 

.59155 

9.77356 

.59369 

9.77512 

.59583 

48 

13 

.76885 

.58739 

.77044 

.58944 

.77202 

.59158 

.77359 

.59373 

.77515 

.59587 

47 

14 

.76888 

.58733 

.77046 

.58947 

.77204 

.59162 

.77361 

.59376 

.77518 

.59590 

46 

15 

.76891 

.58736 

.77049 

.58951 

.77207 

.59165 

.77364 

.59380 

.77520 

.59594 

45 

+      4^ 

9.76893 

.58740 

9.77052 

.58954 

9.77209 

.59169 

9.77366 

.59383 

9.77523 

.59598 

U 

17 

.76896 

.58743 

.77054 

.58858 

.77212 

.59173 

.77369 

.59387 

.77525 

.59601 

43 

18 

.76898 

.58747 

.77057 

.58963 

.77215 

.59176 

.77372 

.59391 

.77528 

.59605 

42 

19 

.76901 

.58750 

.77060 

.58965 

.77217 

.59180 

.77374 

.59394 

.77531 

.59608 

41 

+     5^ 

9.76904 

.58754 

9.77062 

.58969 

9.77220 

.59183 

9.77377 

.59398 

9.77533 

.59613 

40 

21 

.76906 

.58758 

.77065 

.58972 

.77223 

.59187 

.77380 

.59401 

.77536 

.59615 

39 

22 

.76909 

.58761 

.77067 

.58976 

.77225 

.59190 

.77382 

.59405 

.77538 

.59619 

38 

23 

.76912 

.58765 

.77070 

.58979 

.77228 

.59194 

.77385 

.59408 

.77541 

.59633 

37 

+     6^ 

9.76914 

.58768 

9.77073 

.58983 

9.77230 

.59198 

9.77387 

.69413 

9.77544 

.59636 

36 

25 

.76917 

.58773 

.77075 

.58987 

.77233 

.59201 

.77390 

.59416 

.77546 

.59630 

35 

26 

.76920 

.58776 

.77078 

.58990 

.77236 

.59205 

1  .77393 

.59419 

.77549 

.59633 

34 

27 

.76922 

.58779 

.77081 

.58994 

.77238 

.59208 

.77395 

.59433 

.77551 

.59637 

33 

+    r 

9.76925 

.58783 

9.77083 

.58997 

9.77241 

.59212 

9.77398 

.59436 

9.77554 

.59640 

32 

29 

.76928 

.58780 

.77086 

.59001 

.77243 

.59215 

.77400 

.59430 

.77557 

.59644 

31 

30 

.76930 

.58730 

.77089 

.59005 

.77246 

.59219 

.77403 

.59433 

.77559 

.59648 

30 

31 

.76933 

.58793 

.77091 

.59008 

.77249 

.59223 

.77406 

.59437 

.77562 

.59651 

29 

+  8' 

9.76936 

.58797 

9.77094 

.59013 

9.77251 

.59236 

9.77408 

.59440 

9.77564 

.59655 

28 

33 

.76938 

.58801 

.77096 

.59015 

.77254 

.59230 

.77411 

.59444 

.77567 

.59658 

27 

34 

.76941 

.58804 

.77099 

.59019 

.77257 

.59233 

.77413 

.59448 

.77570 

.59663 

26 

35 

.76943 

.58808 

.77102 

.59033 

.77259 

.59237 

.77416 

.59451 

.77572 

.59665 

25 

+      9" 

9.76946 

.58811 

9.77104 

.59036 

9.77262 

.59240 

9.77419 

.59455 

9.77575 

.59669 

24 

37 

.76949 

.58815 

.77107 

.59030 

.77264 

.59244 

.77421 

.59458 

.77577 

.59672 

23 

38 

.76951 

.58818 

.77110 

.59033 

.77267 

.59248 

.77424 

.59463 

.77580 

.59676 

22 

39 

.76954 

.58823 

.77112 

.59037 

.77270 

.59251 

.77427 

.59465 

.77583 

.59680 

21 

+  W 

9.76957 

.58836 

9.77115 

.59040 

9.77272 

.59255 

9.77429 

.59469 

9.77585 

.59683 

20 

41 

.76959 

.58839 

.77117 

.59044 

.77275 

.59358 

.77432 

.59473 

.77588 

.59687 

19 

42 

.76962 

.58833 

.77120 

.59047 

.77278 

.59363 

.77434 

.59476 

.77590 

.59690 

18 

43 

.76965 

.58836 

.77123 

.59051 

.77280 

.59265 

.77437 

.59480 

.77593 

.59694  17 

+  ir 

9.76967 

.58840 

9.77125 

.59055 

9.77283 

.59269 

9.77440 

.59483 

9.77596 

.59697  16 

45 

.76970 

.58843 

.77128 

.59058 

.77285 

.59273 

.77442 

.59487 

.77598 

.59701 

15 

46 

.76972 

.58847 

.77131 

.59063 

.77288 

.59376 

.77445 

.59490 

.77601 

.59705 

14 

47 

.76975 

.58851 

.77133 

.59065 

.77291 

.59380 

.77447 

.59494 

.77603 

.59708 

13 

+  12' 

9.76978 

.58854 

9.77136 

.59069 

9.77293 

.59383 

9.77450 

.59498 

9.77606 

.59712 

12 

49 

.76980 

.58858 

.77139 

.59073 

.77296 

.59387 

.77453 

.59501 

.77609 

.59715 

11 

50 

.76983 

.58861 

.77141 

.59076 

.77298 

.59390 

.77455 

.59505 

.77611 

.59719 

10 

51 

.76986 

.58865 

.77144 

.59080 

.77301 

.59394 

.77458 

.59508 

.77614 

.59722 

9 

+  13' 

9.76988 

.58869 

9.77146 

.59083 

9.77304 

.59298 

9.77460 

.59513 

9.77616 

.59726 

8 

53 

.76991 

.58873 

.77149 

.59087 

.77306 

.59301 

.77463 

.59515 

.77619 

.59730 

7 

54 

.76994 

.58876 

.77152 

.59090 

.77309 

.59305 

.77466 

.59519 

.77622 

.59733 

6 

55 

.76996 

.58879 

.77154 

.59094 

.77312 

.59308 

.77468 

.59533 

.77624 

.59737 

5 

+  14' 

9.76999 

.58883 

9.77157 

.59097 

9.77314 

.59312 

9.77471 

.59536 

9.77627 

.59740 

4 

57 

.77002 

.58886 

.77160 

.59101 

.77317 

.59315 

.77473 

.59530 

.77629 

.59744 

8 

58 

.77004 

.58890 

.77162 

.59105 

.77319 

.59319 

.77476 

.59533 

.77632 

.59747 

2 

59 

.77007 

.58894 

.77165 

.59108 

.77322 

.59323 

.77479 

.59537 

.77634 

.59751 

1 
0 

+  15' 

9.77009 

.58897 

9.77167  1 

.59113 

9.77325 

.59336 

9.77481 

.59540 

9.77637 

.59755 

i7h 19m         1 

17h igm         1 

17h 17m         1 

17k  i&m         1 

17h  15m         1 

TABLE  I  y.                                            [Pa^e  125 
Haversinea. 

s 

6ft  ^m  101°  15' 

6ft  46^  101°  sr 

6h  47m  101°  45' 

6ft  4Sm  103°  0' 

6ft  49m  103°  15' 

3 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
3 

9.77637 
.77640 

.77642 
.77645 

.59755 
.59758 
.59763 
.59765 

9.77792 
.77795 
.77797 
.77800 

.59968 
.59973 
.59976 
.59979 

9.77947 
.77949 
.77952 
.77954 

.60183 
.60185 
.60189 
.60193 

9.78101 
.78103 
.78106 
.78108 

.60396 
.60399 
.60403 
.60406 

9.78254 
.78256 
.78259 
.78261 

.60609 
.60613 
.60616 
.60630 

60 
59 
58 
57 

+    r 

5 

6 
7 

9.77647 
.77650 
.77653 
.77655 

.59769 
.59773 
.59776 
.59779 

9.77803 
.77805 
.77808 
.77810 

.59983 
.59986 
.59990 
.59993 

9.77957 
.77960 
.77962 
.77965 

.60196 
.60300 
.60303 
.60307 

9.78111 
.78113 
.78116 
.78118 

.60410 
.60414 
.60417 
.60430 

9.78264 
.78266 
.78269 

.78271 

.60633 
.60637 
.60630 
.60634 

56 
55 
54 
53 

+   y 

9 
10 
11 

9.77658 
.77660 
.77663 
.77666 

.59783 

.59787 
.59790 
.59794 

9.77813 

.77815 
.77818 
.77821 

.59997 
.60000 
.60004 
.60008 

9.77967 
.77970 
.77972 
.77975 

.60311 
.60314 
.60318 
.60331 

9.78121 
.78124 
.78126 
.78129 

.60434 
.60438 
.60431 
.60435 

9.78274 

.78277 
.78279 
.78282 

.60637 
.60641 
.60644 
.60648 

52 
51 
50 
49 

+   3' 

13 
14 
15 

9.77668 

.77671 
.77673 
.77676 

.59797 
.59801 
.59S01 
.59808 

9.77823 

.77826 
.77828 
.77831 

.60011 
.60015 
.60018 
.60033 

9.77978 
.77980 
.77983 
.77985 

.60335 
.60338 
.60333 
.60335 

9.78131 
.78134 
.78136 
.78139 

.60438 
.60443 
.60445 
.60449 

9.78284 
.78287 
.78289 
.78292 

.60653 
.60655 
.60659 
.60663 

48 
47 
46 
45 

+     4' 
17 
18 
19 

9.77679 
.77681 
.77684 
.77686 

.59813 
.59815 
.59819 
.59833 

9.77834 
.77836 
.77839 
.77841 

.60035 
.60039 
.60033 
.60036 

9.77988 
.77990 
.77993 
.77996 

.60339 
.60343 
.60346 
.60350 

9.78141 
.78144 

.78147 
.78149 

.60453 
.60456 
.60460 
.60463 

9.78294 
.78297 
.78299 
.78302 

.60666 
.60669 
.60673 
.60676 

44 
4S 
42 
41 

+   5' 

21 

22 
23 

9.77689 
.77691 
.77694 
.77697 

.59836 
.59839 
.59833 
.59837 

9.77844 
.77846 
.77849 
.77852 

.60040 
.60043 
.60047 
.60050 

9.77998 
.78001 
.78003 
.78006 

.60353 
.60357 
.60360 
.60364 

9.78152 
.78154 
.78157 
.78159 

.60467 
.69470 
.60474 
.60477 

9.78305 
.78307 
.78310 
.78312 

.60680 
.60684 
.60687 
,60691 

40 
39 
38 
37 

+   6' 

25 
26 

27 

9.77699 
.77702 
.77704 
.77707 

.59840 
.59844 
.59847 
.59851 

9.77854 
.77857 
.77859 
.77862 

.60054 
.60057 
.60061 
.60065 

9.78008 
.78011 
.78013 
.78016 

.60368 
.60371 
.60375 
.60378 

9.78162 
.78164 
.78167 
.78170 

.60481 
.60484 
.60488 
.60493 

9.78315 
.78317 
.78320 
.78322 

.60694 
.60698 
.60701 
.60705 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.77710 
.77712 
.77715 

.77717 

.59854 
.59858 
.59861 
.59865 

9.77864 
.77867 
.77870 
.77872 

.60068 
.60073 
.60075 
.60079 

9.78019 
.78021 
.78024 
.78026 

.60383 
.60385 
.60389 
.60393 

9.78172 
.78175 
.78177 
.78180 

.60495 
.60499 
.60503 
.60506 

9.78325 
.78327 
.78330 
.78332 

.60708 
.60713 
.60715 
,60719 

32 
31 
30 
29 

+     8' 
33 
34 
35 

9.77720 
.77723 

.77725 
.77728 

.59869 
.59873 
.59876 
.59879 

9.77875 

.77877 
.77880 
.77882 

.60083 
.60086 
.60090 
.60093 

9.78029 
.78031 
.78034 
.78037 

.60396 
.60300 
.60303 
.60307 

9.78182 
.78185 
.78187 
.78190 

.60509 
.60513 
.00516 
.60530 

9.78335 
.78338 
.78340 
.78343 

,60733 
,60736 
,60730 
.60733 

28 

27 
26 
25 

+      ^ 

37 
38 
39 

9.77730 
.77733 
.77735 
.77738 

.59883 
.59886 
.59890 
,59894 

9.77885 
.77888 
.77890 
.77893 

.60097 
.60100 
.60104 
.60107 

9.78039 
.78042 
.78044 
.78047 

.60310 
.60314 
.60317 
.60331 

9.78192 
.78195 
.78198 
.78200 

.60534 
.60537 
.60531 
.60534 

9.78345 
.78348 
.78350 
.78353 

.60737 
.60740 
,60744 
,60747 

24 
23 
22 
21 

+  W 

41 
42 
43 

9.77741 
.77743 
.77746 
.77748 

.59897 
.59901 
.59904 
.59908 

9.77895 
.77898 
.77900 
.77903 

.60111 
.60114 
.60118 
.60133 

9.78049 
.78052 
.78054 
.78057 

.60334 
.60338 
.60333 
.60335 

9.78203 
.78205 
.78208 
.78210 

.60538 
.60541 
.60545 
.60548 

9.78355 

.78358 
.78360 
.78363 

.60751 
.60755 
,60758 
,60763 

20 
19 
18 
17 

+  11^ 

45 
46 
47 

9.77751 

.77754 
.77756 
.77759 

.59911 
.59915 
.59919 
.59933 

9.77906 
.77908 
.77911 
.77913 

.60135 
.60139 
.60133 
.60136 

9.78060 
.78062 
.78065 
.78067 

.60339 
.60343 
.60346 
.60349 

9.78213 
.78215 
.78218 
.78221 

.60553 
.60556 
,60559 
.60563 

9.78365 
.78368 
.78371 
.78373 

.60765 
.60769 
,60773 
,60776 

16 
15 
14 
13 

+  13' 
49 
50 
51 

9.77761 
.77764 
.77766 
.77769 

.59936 
.59939 
.59933 
.59936 

9.77916 
.77918 
.77921 
.77924 

.60139 
.60143 
.60146 
.60150 

9.78070 
.78072 
.78075 
.78077 

.60353 
.60356 
.60360 
.60364 

9.78223 
.78226 
.78228 
.78231 

.60566 
.69579 
.60573 
.60577 

9.78376 

.78378 
.78381 
.78383 

.60779 
.60783 
.60786 
.60790 

12 

11 

10 

9 

+  13' 

53 
54 
55 

9.77772 

.77774 
.77777 
.77779 

.59940 
.59943 
.59947 
.59951 

9.77926 
.77929 
.77931 
.77934 

.60154 
.60157 
.60161 
.60164 

9.78080 
.78083 
.78085 
.78088 

.60367 
.60371 
.60374 
.60378 

9.78233 
.78236 
.78238 
.78241 

.60580 
.60584 
.60588 
.60591 

9.78386 
.78388 
.78391 
.78393 

.60794 
.60797 
.60801 
.60804 

8 
7 
6 
5 

+  W 

57 
58 
59 

9.77782 
.77785 
.77787 
.77790 

.59954 
.59958 
.59961 
.59965 

9.77936 
.77939 
.77942 
.77944 

.60168 
.60171 
.60175 
.60179 

9.78090 
.78093 
.78095 
.78098 

.60381 
.60385 
.60388 
.60393 

9.78243 
.78246 
.78249 
.78251 

.60595 
.60598 
.60603 
.60605 

9.78396 
.78398 
.78401 
.78404 

.60808 
.60811 
.60815 
.60818 

4 
S 

2 

1 

+  15' 

9.77792 

.59968 

9.77947 

.60183 

9.78101 

.60396 

9.78254 

.60609 

9.78406 

.69833 

0 

i7h  14m 

17h  13m 

17h  ipn 

J?7ft  lim 

17h  iom 

Page  126]                  TABLE  lY. 

Havereines. 

s 

6h  oOm  102°  3(K 

6^  5im  102°  45' 

6h  S2m  103°  0' 

6h  5Sm  103°  15' 

6h  54^  103°  30' 

s 

60 
59 
58 
57 
56 
55 
54 
53 
52 
51 
50 
49 

Log.  Hav. 

Nat.  Hav. 

Hav.Log. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 

~3 

9.78406 
.78409 
.78411 
.78414 

.60822 
.60825 
.60829 
.60833 

9.78558 
.78560 
.78563 
.78565 

.61035 
.61038 
.61042 
.61046 

9.78709 
.78711 
.78714 
.78716 

.61248 
.61251 
.61255 
.61258 

9.78859 
.78862 
.78864 
.78867 

.61460 
.61464 
.61467 
.61471 

9.79009 
.79011 
.79014 
.79016 

.61672 
.61676 
.61679 
.61683 

+    r 

5 
6 

7 

9.78416 
.78419 
.78421 
.78424 

.60836 
.60840 
.60843 
.60847 

9.78568 
.78570 
.78573 

.78575 

.61049 
.61053 
.61056 
.61060 

9.78719 

.78721 
.78724 
.78726 

.61262 
.61265 
.61269 
.61272 

9.78869 

.78872 
.78874 
.78877 

.61474 
.61478 
.61481 
.61485 

9.79019 
.79021 
.79024 
.79026 

.61686 
.61690 
.61693 
.61697 
.61701 
.61704 
.61708 
.61711 

+      r 

9 

10 

11 

9.78426 
.78429 
.78431 
.78434 

.60850 
.60854 
.60857 
.60861 

9.78578 
.78581 
.78583 
.78586 

.61063 
.61067 
.61070 
.61074 

9.78729 
.78731 
.78734 
.78737 

.61276 
.61279 
.61283 
.61287 

9.78879 
.78882 
.78884 
.78887 

.61488 
.61492 
.61495 
.61499 

9.79029 
.79031 
.79034 
.79036 

+      3' 

13 

U 
15 

9.78436 
.78439 
.78442 
.78444 

.60865 
.60868 
.60872 
.60875 

9.78588 
.78591 
.78593 
.78596 

.61077 
.61081 
.61085 

.61088 

9.78739 

.78742 
.78744 
.78747 

.61290 
.61294 
.61297 
.61301 

9.78889 
.78892 
.78894 
.78897 

.61502 
.61506 
.61510 
.61513 

9.79039 
.79041 
.79044 
.79046 

.61715 
.61718 
.61722 
.61725 

48 
47 
46 
45 
44 
43 
42 
41 

+   4^ 
17 
18 
19 

9.78447 
.78449 
.78452 

.78454 

.60879 
.60882 
.60886 
.60889 

9.78598 
.78601 
.78603 
.78606 

.61092 
.61095 
.61099 
.61102 

9.78749 
.78752 
.78754 

.78757 

.61304 
.61308 
.61311 
.61315 

9.78899 
.78902 
.78904 
.78907 

.61517 
.61520 
.61524 
.61527 

9.79049 
.79051 
.79054 
.79056 

.61729 
.61732 
.61736 
.61739 

+   6' 

21 

22 
23 

9.78457 
.78459 
.78462 
.78464 

.60893 
.60897 
.60900 
.60904 

9.78608 
.78611 
.78613 
.78616 

.61106 
.61109 
.61113 
.61116 

9.78759 
.78762 
.78764 
.78767 

.61318 
.61322 
.61325 
.61329 

9.78909 
.78912 
.78914 
.78917 

.61531 
.61534 
.61538 
.61541 

9.79059 
.79061 
.79064 
.79066 

.61743 
.61747 
.61750 
.61754 

40 
39 
38 
37 

+   6^ 

25 
26 
27 

9.78467 
.78469 
.78472 
.78474 

.60907 
.60911 
.60914 
.60918 

9.78618 
.78621 
.78023 
.78626 

.61120 
.61124 
.61127 
.61131 

9.78769 

.78772 
.78774 
.78777 

.61333 
.61336 
.61340 
.61343 

9.78919 
.78922 
.78924 
.78927 

.61545 
.6154S 
.61552 
.61556 

9.79069 
.79071 
.79074 
.79076 

.61757 
.61761 
.61764 
.61768 

36 
35 
34 
33 

+    r 

30 
31 

9.78477 
.78479 
.78482 
.78485 

.60921 
.60925 
.60928 
.60932 

9.78628 
.78631 
.78633 
.78636 

.61134 
.61138 
.61141 
.61145 

9.78779 

.78782 
.78784 
.78787 

.61347 
.61350 
.61354 
.61357 

9.78929 
.78932 
.78934 
.78937 

.61559 
.61563 
.61566 
.61570 

9.79079 
.79081 
.79084 
.79086 

.61771 
.61775 
.61778 
.61782 

32 
31 
30 
29 

+   8^ 

33 
34 
35 

9.78487 
.78490 
.78492 
.78495 

.60938 
.60939 
.60943 
.60946 

9.78638 
.78641 
.78643 
.78646 

.61148 
.61152 
.61155 
.61159 

9.78789 
.78792 
.78794 
.78797 

.61361 
.61364 
.61368 
.61372 

9.78939 
.78942 
.78944 
.78947 

.61573 
.61577 
.61580 
.61584 

9.79089 
.79091 
.79094 
.79096 

.61785 
.61789 
.61792 
.61796 

28 
27 
26 
25 

24 
23 
22 
Tl 

+   9^ 

37 
38 
39 

9.78497 
.78500 
.78502 
.78505 

.60950 
.60953 
.60957 
.60960 

9.78649 
.78651 
.78654 
.78656 

.61163 
.61166 
.61170 
.61173 

9.78799 
.78802 
.78804 
.78807 

.61375 
.61379 
.61382 
.61386 

9.78949 
.78952 
.78954 
.78957 

.61587 
.61691 
.61594 
.61598 

9.79099 
.79101 
.79103 
.79106 

.61800 
.61803 
.61807 
.61810 

+  W 

41 

42 
43 

9.78507 
.78510 
.78512 
.78515 

.60964 
.60967 
.60971 
.60975 

9.78659 
.78661 
.78664 
.78666 

.61177 
.61180 
.61184 
.61187 

9.78809 
.78812 
.78814 
.78817 

.61389 
.61393 
.61396 
.61400 

9.78959 
.78962 
.78964 
.78967 

.61602 
.61605 
.61609 
.61612 

9.79108 
.79111 
.79113 
.79116 

.61814 
.61817 
.61821 
.61824 

20 
19 
18 
17 
16 
15 
14 
13 
12 
11 
10 
9 

+    11^ 

45 
46 
47 

9.78517 
.78520 
.78522 
.78525 

.60978 
.60982 
.60985 
.60989 

9.78669 
.78671 
.78674 
.78676 

.61191 
.61194 
.61198 
.61201 

9.78819 

.78822 
.78824 
.78827 

.61403 
.61407 
.61410 
.61414 

9.78969 
.78972 
.78974 

.78977 

.61616 
.61619 
.61623 
.61626 

9.79118 
.79121 
.79123 
.79126 

.61828 
.61831 
.61835 
.61838 

+  !%' 

49 
50 
51 

9.78528 
.78530 
.78533 
.78535 

.60992 
.60996 
.60999 
.61003 

9.78679 
.78681 
.78684 
.78686 

.61205 
.61209 
.61212 
.61216 

9.78829 
.78832 
.78834 

.78837 

.61418 
.61421 
.61425 
.61428 

9.78979 
.78982 
.78984 
.78987 

.61630 
.61633 
.61637 
.61640 

9.79128 
.79131 
.79133 
.79136 

.61842 
.61845 
.61849 
.61853 

+    13' 

53 
54 
55 

9.78538 
.78540 
.78543 
.78545 

.61007 
.61010 
.61014 
.61017 

9.78689 
.78691 
.78694 
.78696 

.61219 
.61223 
.61226 
.61230 

9.78839 
.78842 
.78844 
.78847 

.61432 
.61435 
.61439 
.61442 

9.78989 
.78992 
.78994 
.78997 

.61644 
.61648 
.61651 
.61655 

9.79138 
.79141 
.79143 
.79146 

.61856 
.61860 
.61863 
.61867 

8 
7 
6 
5 

4 
3 

0 

1 

+    W 

57 
58 
59 

9.78548 
.78550 
.78553 
.78555 

.61021 
.61024 
.61028 
.61032 

9.78699 
.78701 
.78704 
.78706 

.61233 
.61237 
.61240 
.61244 

9.78849 
.78852 
.78854 
.78857 

.61446 
.61449 
.61453 
.61456 

9.78999 
.79002 
.79004 
.79007 

.61658 
.61662 
.61665 
.61669 

9.79148 
.79151 
.79153 
.79156 

.61870 
.61874 
.61877 
.61881 

+    15' 

9.78558 

.61035 

9.78709 

.6124S 

9.78859 

.61460 

9.79009 

.61672 

9.79158 

.61884 

0 

irhQm 

17 h  gm 

17h  jm           1     i7h  em 

]7h  gm 

TABLE  IV. 

Haversines. 

[Page  127 

s 

61  55m  103°  45' 

6h  56m  104°  0' 

6h  57m  104°  15' 

eh  58m  104°  30' 

6^1  59>n  104°  45'  1 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 

1 
2 
3 

9.79158 
.79161 
.79163 
.79165 

.61884 

.61888 
.61891 
.61895 

9.79306 
.79309 
.79311 
.79314 

.62096 
.62100 
.63103 
.62107 

9.79454 
.79457 
.79459 
.79462 

.63308 
.63311 
.63315 
.63318 

9.79601 
.79604 
.79600 
.79609 

.63519 
.63533 
.63536 
.63530 

9.79748 
.79750 
.79752 
.79755 

.63730 
.63734 
.63737 
.63741 

60 
59 
oS 
57 
56 
55 
54 
53 
52 
51 
50 
49 
48 
47 
46 
45 

44 
43 
42 
41 
40 
39 
38 
37 
36 
35 
34 
33 
32 
31 
30 
29 

+  V 
5 
6 

7 

9.79168 
.79170 
.79173 
.79175 

.61898 
.61903 
.61905 
.61909 

9.79316 
.79319 
.79321 
.79324 

.63110 
.63114 
.63117 
.63131 

9.79464 
.79466 
.79469 
.79471 

.63333 
.63335 
.63339 
.63332 
.63336 
.63339 
.62343 
.62346 

9.79G11 
.79613 
.79616 
.79618 

.63533 
.63537 
.63540 
.63544 

9.79757 
.79760 
.79762 
.79765 

.62744 
.62748 
.63751 
.63755 

+  2' 

9 

10 

11 

9.79178 
.79180 
.79183 
.79185 

.61913 
.61916 
.61920 
.61923 

9.79326 
.79329 
.79331 
.79334 

.63134 
.63138 
.63131 
.63135 

9.79474 
.79476 
.79479 
.79481 

9.79621 
.79623 
.79626 
.79628 

.63547 
.63551 
.63554 
.63558 

9.79767 
.79770 
.79772 
.79774 

.63758 
.63763 
.63765 
.63769 

+     3' 

13 
14 
15 

9.79188 
.79190 
.79193 
.79195 

.61937 
.61930 
.61934 
.61937 

9.79336 
.79339 
.79341 
.79343 

.63138 
.63142 
.62145 
.62149 
.62153 
.63156 
.63160 
.63163 

9.79484 
.79486 
.79489 
.79491 

.63350 
.63353 
.63357 
.63361 

9.79631 
.79633 
.79635 
.79038 

.63561 
.63565 
.62568 
.63573 

9.79777 
.79779 

.79782 
.79784 

.63773 
.62776 
.62779 

.62783 

17 
18 
19 

9.79198 
.79200 
.79203 
.79205 

.61941 
.61944 
.61948 
.61951 

9.79346 
.79348 
.79351 
.79353 

9.79493 
.79496 
.79498 
.79501 

.63364 
.63368 
.63371 
.63375 

.63378 
.63383 
.62385 
.63389 

9.79640 
.79643 
.79645 
.79648 

9.79650 
.79653 
.79655 
.79657 

.63575 
.63579 
.63582 
.62586 

9.79787 
.79789 
.79791 
.79794 

.62786 
.62790 
.62793 
.62797 

+      5' 
21 
22 
23 

9.79208 
.79210 
.79213 
.79215 

.61955 
.61958 
.61962 
.61966 

9.79356 
.79358 
.79361 
.79363 

.63167 
.62170 
.62174 
.62177 

9.79503 
.79506 
.79508 
.79511 

.62589 
.62593 
.62596 
.62600 

9.79796 
.79799 
.79801 
.79804 

.63800 
.63804 
.63807 
.63811 

+      6' 

25 
26 

27 

9.79217 
.79220 
.79222 
.79225 

.61969 
.61973 
.61976 
.61980 

9.79366 
.79368 
.79371 
.79373 

.62181 
.63184 
.62188 
.62191 

9.79513 
.79516 
.79518 
.79520 

.63393 
.63396 
.63399 
.63403 

9.79660 
.79662 
.79665 
.79667 

.62603 
.62607 
.62611 
.62614 

9.79806 
.79808 
.79811 
.79813 

.63814 

.63818 
.63833 
.63835 

+    r 

29 
30 
31 

9.79227 
.79230 
.79232 
.79235 

.61983 
.61987 
.61990 
.61994 

9.79376 
.79378 
.79380 
.79383 

.62195 
.63198 
.63302 
.63305 

9.79523 

.79525 
.79528 
.79530 

.63406 
.63410 
.63413 
.63417 

9.79670 
.79672 
.79674 
.79677 

.62618 
.62621 
.63625 
.62628 

9.79816 
.79818 
.79821 
.79823 

.63839 
.63833 
.63836 
.63839 

+  8' 
33 
34 
35 

9.79237 
.79240 
.79242 
.79245 

.61997 
.63001 
.62004 
.62008 

9.79385 
.79388 
.79390 
.79393 

.63309 
.63313 
.63316 
.63330 

9.79533 
.79535 
.79538 
.79540 

.63430 
.63434 
.63427 
.62431 

9.79679 
.79682 
.79684 
.79687 

.62633 
.63635 
.63639 
.63643 

9.79825 
.79828 
.79830 
.79833 

.63843 
.63846 
.63850 
.63853 

28 
27 
26 
25 

+  9' 

37 
38 
39 

9.79247 
.79250 
.79252 
.79255 

.62011 
.62015 
.62018 
.62022 

9.79395 
.79398 
.79400 
.79403 

.63333 
.63337 
.63330 
.63334 

9.79542 
.79545 
.79547 
.79550 

.62434 
.62438 
.62442 
.62445 

9.79689 
.79692 
.79694 
.79696 

.63646 
.63649 
.63653 
.62656 

9.79835 
.79838 
.79840 

.79842 

.63857 
.62860 
.62864 
.62867 

24 
23 
22 
21 

+  10' 

41 
42 
43 

9.79257 
.79260 
.79262 
.79264 

.62036 
.62029 
.62033 
.62036 

9.79405 
.79407 
.79410 
.79412 

.62237 
.62241 
.62344 
.63348 

9.79552 
.79555 
.79557 
.79560 

.63449 
.63453 
.63456 
.63459 

9.79699 
.79701 
.79704 
.79706 

.62660 
.62663 
.62667 
.62670 

9.79845 
.79847 
.79850 
.79852 

.62871 
.82874 

.63878 
.63881 
.62885 
.62888 
.63892 
.62895 

29 
19 
IS 
17 
16 
15 
14 
IS 

+  11' 

45 
46 
47 

9.79267 
.79269 
.79272 
.79274 

.63040 
.62043 
.62047 
.62050 

9.79415 
.79417 
.79420 
.79422 

.63351 
.62255 
.62258 
.63363 

9.79562 
.79565 
.79567 
.79569 

.63463 
.63466 
.63470 
.62473 

9.79709 
.79711 
.79714 
.79716 

.62674 
.62677 
.62681 
.62684 

9.79855 
.79857 
.79859 
.79862 

+  12' 

49 
50 
51 

9.79277 
.79279 
.79282 
.79284 

.63054 
.62057 
.62061 
.62064 

9.79425 
.79427 
.79430 
.79432 

.63365 
.62269 
.62272 
.62276 

9.79572 
.79574 
.79577 
.79579 

.62477 
.62480 
.62484 
.63487 

9.79718 
.79721 
.79723 
.79726 

.62688 
.62691 
.62695 
.63698 

9.79864 
.79867 
.79869 
.79872 

.62899 
.62902 
.63906 
.63909 

12 

11 

10 

9 

+  13' 

53 
54 
55 

9.79287 
.79289 
.79292 
.79294 

.62068 
.62071 
.62075 
.62078 

9.79434 
.79437 
.79439 
.79442 

.62279 
.62283 
.62287 
.62290 

9.79582 
.79584 
.79587 
.79589 

.63491 
.63494 
.63498 
.62501 

9.79728 
.79731 
.79733 
.79735 

.63703 
.63706 
.63709 
.63713 

9.79874 
.79876 
.79879 
.79881 

.63913 
.62916 
.63930 
.63933 

8 
7 
6 
5 

+    14' 

57 
58 
59 

9.79297 
.79299 
.79301 
.79304 

.62082 
.62086 
.62089 
.62093 

9.79444 
.79447 
.79449 
.79452 

.62294 
.62297 
.62301 
.63304 

9.79591 
.79594 
.79596 
.79599 

.63505 
.63508 
.63513 
.63515 

9.79738 
.79740 
.79743 
.79745 

.63716 
.62730 
.62723 
.63737 

9.79884 
.79886 
.79888 
.79891 

.63937 
.63930 
.63934 
.63937 

4 
3 
2 
1 

+  15' 

9.79306 

.62096 

9.79454 

.63308 

9.79601 

.63519 

9.79748 

.63730 

9.79893 

.62941 

0 

171 

pn 

17h 

Sm 

17^  2m 

nil 

im 

17h 

Om 

Page  128] 

TABLE 

IV. 

Haversines. 

s 

7ft0ml05^(K  1 

7h  im  105°  15' 

Ih  2m  105°  30' 

r'i  5wi  105°  45'  1 

lh4mlOQ°(/     1 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 

9.79893 

.63941 

9.80038 

.63153 

9.80183 

.63363 

9.80327 

.63573 

9.80470 

.63783 

60 

1 

.79896 

.639M 

.80041 

.63155 

.80185 

.63365 

.80329 

.63576 

.80472 

.63785 

59 

2 

.79898 

.63948 

.80043 

.63159 

.80188 

.63369 

.80331 

.63579 

.80474 

.63789 

58 

3 

.79901 

.63951 

.80046 

.63163 

.80190 

.63373 

.80334 

.63583 

.80477 

.63793 

51 

+  1' 

9.79903 

.63955 

9.80048 

.63166 

9.80192 

.63376 

9.80336 

.63586 

9.80479 

.63796 

56 

5 

.79905 

.63958 

.80050 

.63169 

.80195 

.63379   .80339  | 

.63590 

.80482 

.63799 

55 

6 

.79908 

.63963 

.80053 

.63173 

.80197 

.63383 

.80341 

.63593 

.80484 

.63803 

54 

7 

.79910 

.63965 

.80055 

.63176 

.80200 

.63386 

.80343 

.63597 

.80486 

.63806 

53 

+     2' 

9.79913 

.63969 

9.80058 

.63180 

9.80202 

.63390 

9.80346 

.63600 

9.80489 

.63810 

52 

9. 

.79915 

.63973 

.80060 

.63183 

.80204 

.63393 

.80348 

.63604 

.80491 

.63813 

51 

10 

.79918 

.63976 

.80063 

.63187 

.80207 

.63397 

.80351 

.63607 

.80494 

.63817 

50 

11 

.79920 

.63980 

.80065 

.63190 

.80209 

.63400 

.80353 

.63611 

.80496 

.63830 

49 
48 

+  y 

9.79922 

.63983 

9.80067 

.63194 

9.80212 

.63404 

9.80355 

.63614 

9.80498 

.63834 

IS 

.79925 

.63987 

.80070 

.63197 

.80214 

.63407 

.80358 

.63618 

.80501 

.63837 

41 

14 

.79927 

.63990 

.80072 

.63301 

.80216 

.63411 

.80360 

.63631 

.80503 

.63831 

46 

15 

.79930 

.63994 

.80075 

.63304 

.80219 

.63414 

.80362 

.63635 

.80505 

.63834 

45 

+     i' 

9.79932 

.63997 

9.80077 

.63308 

9.80221 

.63418 

9.80365 

.63638 

9.80508 

.63838 

44 

n 

.79935 

.63001 

.80079 

.63311 

.80224 

.63431 

.80367 

.63633 

.80510 

.63841 

43 

18 

.79937 

.63004 

.80082 

.63315 

.80226 

.63435 

.80370 

.63635 

.80513 

.63845 

42 

19 

.79939 

.63008 

.80084 

.63318 

.80228 

.63438 

.80372 

.63639 

.80515 

.63848 

41 

+     5' 

9.79942 

.63011 

9.80087 

.63333 

9.80231 

.63433 

9.80374 

.63643 

9.80517 

.63853 

40 

21 

.79944 

.63015 

.80089 

.63335 

.80233 

.63435 

.80377 

.63646 

.80520 

.63855 

39 

22 

.79947 

.63018   .80091 

.63339 

.80236 

.63439 

.80379 

.63649 

.80522 

.63859 

38 

23 

.79949 

.63033 

.80094 

.63333 

.80238 

.63443 

.80382 

.63653 

.80524 

.63863 

31 

36 

+   6' 

9.79951 

.63035 

9.80096 

.63336 

9.80240 

.63446 

9.80384 

.63656 

9.80527 

.63866 

25 

.79954 

.63039 

.80099 

.63339 

.80243 

.63450 

.80386 

.63660 

.80529 

.63869 

35 

26 

.79956 

.63033 

.80101 

.63343 

.80245 

.63453 

.80389 

.63663 

.80532 

.63873 

34 

21 

.79959 

.63036 

.80103 

.63346 

.80248 

.63457 

.80391 

.63666 

.80534 

.63876 

33 

+    r 

9.79961 

.63039 

9.80106 

.63350 

9.80250 

.63460 

9.80393 

.63670 

9.80536 

.63880 

32 

29 

.79964 

.63043 

.80108 

.63353 

.80252 

.63464 

.80396 

.63673 

.80539 

.63883 

31 

30 

.79966 

.63046 

.80111 

.63357 

.80255 

.63467 

.80398 

.63677 

.80541 

.63887 

30 

31 

.79968 

.63050 

.80113 

.63360 

.80257 

.63471 

.80401 

.63680 

.80543 

.63890 

29 

+   8^ 

9.79971 

.63053 

9.80116 

.63364 

9.80260 

.63474 

9.80403 

.63684 

9.80546 

.63894 

28 

33 

.79973 

.63057 

.80118 

.63367 

.80262 

.63478 

.80405 

.63687 

.80548 

.63897 

21 

34 

.79976 

.63060 

.80120 

.63371 

.80264 

.63481 

.80408 

.63691 

.80551 

.63901 

26 

35 

.79978 

.63064 

.80123 

.63374 

.80267 

.63485 

.80410 

.63694 

.80553 

.63904 

25 

+     9' 

9.79980 

.63067 

9.80125 

.63378 

9.80269 

.63488 

9.80413 

.63698 

9.80555 

.63908 

24 

31 

.79983 

.63071 

.80128 

.63381 

.80272 

.63493 

.80415 

.63701 

.80558 

.83911 

23 

38 

.79985 

.63074 

.80130 

.63385 

.80274 

.63495 

.80417 

.63705 

.80560 

.63915 

22 

39 

.79988 

.63078 

.80132 

.63388 

.80276 

.63499 

.80420 

.63708 

.80562 

.63918 

21 

+    W 

9.79990 

.63081 

9.80135 

.63393 

9.80279 

.63503 

9.80422 

.63713 

9.80565 

.63933 

20 

41 

.79993 

.63085 

.80137 

.63395 

.80281 

.63506 

.80424 

.63715 

.80567 

.63935 

19 

42 

.79995 

.63088 

.80140 

.63399 

.80284 

.63509 

.80427 

.63719 

.80570 

.63939 

18 

43 

.79997 

.63093 

.80142 

.63303 

.80286 

.63513 

.80429 

.63733 

.80572 

.63933 

11 

+  11' 

9.80000 

.63095 

9.80144 

.63306 

9.80288 

.63516 

9.80432 

.63736 

9.80574 

.63936 

16 

45 

.80002 

.63099 

.80147 

.63309 

.80291 

.63530 

.80434 

.63739 

.80577 

.63939 

15 

46 

.80005 

.63103 

.80149 

.63313 

.80293 

.63533 

.80436 

.63733 

.80579 

.63943 

14 

41 

.80007 

.63106 

.80152 

.63316 

.80296 

.63537 

.80439 

.63736 

.80581 

.63946 

13 

+  13' 

9.80009 

.63109 

9.80154 

.63330 

9.80298 

.63530 

9.80441 

.63740 

9.80584 

.63950 

12 

49 

.80012 

.63113!  .80156 

.63333 

.80300 

.63534 

.80444 

.63743 

.80586 

.63953 

11 

50 

.80014 

.63116 

.80159 

.63337 

.80303 

.63537 

.80446 

.63747 

.80589 

.63957 

10 

51 

.80017 

.63130 

.80161 

.63330 

.80305 

.63541 

.80448 

.63750 

.80591 

.63960 

9 

+  13^ 

9.80019 

.63133 

9.80164 

.63334 

9.80307 

.63544 

9.80451 

.63754 

9.80593 

.63964 

8 

53 

.80022 

.63137 

.80166 

.63337 

.80310 

.63548 

.80453 

.63757 

.80596 

.63967 

1 

54 

.80024 

.63131 

.80168 

.63341 

.80312 

.63551 

.80455 

.63761 

.80598 

.63971 

6 

55 

.80026 

.63134 

.80171 

.63344 

.80315 

.63555 

.80458 

.63764 

.80600 

.63974 

5 

+  W 

9.80029 

.63138 

9.80173 

.63348 

9.80317 

.63558 

9.80460 

.63768 

9.80603 

.63977 

4 

51 

.80031 

.63143 

.80176 

.63351 

.80319 

.63563 

.80463 

.63771 

.80605 

.63981 

3 

58 

.80034 

.63145 

.80178 

.63355 

.80322 

.63565 

.80465 

.63775 

.80607 

.63984 

2 

59 

.80036 

.63148 

.80180 

.63358 

.80324 

.63569 

.80467 

.63778 

.80610 

.63988 

1 

+  15' 

9.80038 

.63153 

9.80183 

.63363 

9.80327 

.63573 

9.80470 

.63783 

9.80612 

.63991 

0 

16h 

59m 

16h 

58m          j    I6fi 

57771 

16h  56m 

16h  55m 

TABLE  IV. 

Haversines. 

[Page  129 

7h  sm  106°  15' 

7h  em  106°  W 

7h  7m  106°  45'' 

7ft  sm  107°  0' 

7h  9m  107°  15' 

3 

Log.  Hav. 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav 

0 

1 

2 
S 

9.80612 
.80615 
.80617 
.80619 

.63991 
.63995 
.63998 
.64002 

9.80754 
.80756 
.80759 
.80761 

.64201 
.64204 
.64208 
.64211 

9.80895 
.80898 
.80900 
.80902 

.64410 
.64413 
.64417 
.&1420 

9.81036 
.81038 
.81040 
.81043 

.64619 
.64622 
.64626 
.64629 

9.81176 
.81178 
.81180 
.81183 

.64827 
.64831 
.64834 
.64838 

60 
59 
58 
57 

+    r 

5 
6 
7 

9.80622 
.80624 
.80626 
.80629 

.64005 
.64009 
.64012 
.64016 

9.80763 
.80766 
.80768 
.80771 

.64215 
.64218 
.64222 
.64225 

9.80905 
.80907 
.80909 
.80912 

.64424 
.64427 
.64431 
.64434 

9.81045 
.81047 
.81050 
.81052 

.64632 
.64636 
.64639 
.64643 

9.81185 
.81187 
.81190 
.81192 

.64841 
,64844 
.64848 
.64851 

56 

55 
54 
53 
52 
51 
50 
49 

+  r 

9 

10 

11 

9.80631 
.80634 
.80636 
.80638 

.64019 
.64023 
.64026 
.64030 

9.80773 
.80775 
.80778 
.80780 

.64229 
.64232 
.64236 
.64239 

9.80914 
.80916 
.80919 
.80921 

.64438 
.64441 
.64445 
.64448 

9.81054 
.81057 
.81059 
.81061 

.64646 
.64650 
.64653 
.64657 

9.81194 
.81197 
.81199 
.81201 

.64855 
.64858 
.64862 
.64865 

+      3' 

13 
14 
15 

9.80641 
.80643 
.80645 
.80648 

.64033 
.64037 
.64040 
.64044 

9.80782 
.80785 
.80787 
.80789 

.64343 
.64246 
.64250 
.64253 

9.80923 
.80926 
.80928 
.80930 

.64452 
.64455 
.64459 
.64462 

9.81064 
.81066 
.81068 
.81071 

.64660 
.64664 
.64667 
.64671 

9.81204 
.81206 
.81208 
.81211 

.64869 

.64872 
.64876 
.64879 

48 
47 
46 
45 

44 
43 
42 
41 

+   4' 
17 

18 
19 

9.80650 
.80652 
.80655 
.80657 

.64047 
.64051 
.64054 
.64058 

9.80792 
.80794 
.80706 
.80799 

.64257 
.64260 
.64264 
.64267 

9.80933 
.80935 
.80937 
.80940 

.64466 
.64469 
.64472 
.64476 

.81073 
.81075 
.81078 
.81080 

.64674 
.64678 
.64681 
.64685 

9.81213 
.81215 
.81217 
.81220 

.64883 
.64886 
.64890 
.64893 

+      5" 
21 

22 
23 

9.80660 
.80662 
.80664 
.80667 

.64061 
.64065 
.64068 
.64072 

9.80801 
.80804 
.80806 
.80808 

.64270 
.64274 
.64277 
.64281 

9.80942 
.80944 
.80947 
.80949 

.64479 
.64483 
.64486 
.64490 

9.81082 
.81085 
.81087 
.81089 

.64688 
.64692 
.64695 
.64699 

9.81222 
.81224 
.81227 
.81229 

.64897 
.64900 
.64903 
.64907 

40 
39 
38 
37 

+      6' 

25 
26 
27 

9.80669 
.80671 
.80674 
.80676 

.64075 
.64079 
.64082 
.64086 

9.80811 
.80813 
.80815 
.80818 

.64284 
.64288 
.64291 
.64295 

9.80952 
.80954 
.80956 
.80959 

.64493 
.64497 
.64500 
.64504 

9.81092 
.81094 
.81096 
.81099 

.64702 
.64705 
.64709 
.64712 

9.81231 
.81234 
.81236 
.81238 

.64910 
.64914 
.64917 
.64921 

36 
35 
34 
S3 

+    r 

29 
30 
31 

9.80678 
.80681 
.80683 
.80686 

.64089 
.64093 
.64096 
.64100 

9.80820 
.80822 
.80825 
.80827 

.64298 
.64302 
.64305 
.64309 

9.80961 
.80963 
.80966 
.80968 

.64507 
.64511 
.64514 
.64518 

9.81101 
.81103 
.81106 
.81108 

.64716 
.64719 
.64723 
.64726 

9.81241 
.81243 
.81245 
.81248 

.64924 
.64928 
.64931 
.64935 

32 
31 
30 
29 
28 
27 
26 
25 

+     8^ 
33 
34 

35 

9.80688 
.80690 
.80693 
.80695 

.64103 
.64107 
.64110 
.64114 

9.80829 
.80832 
.80834 
.80836 

.64312 
.64316 
.64319 
.64323 

9.80970 
.80973 
.80975 
.80977 

.64521 
.64525 
.64528 
.64532 

9.81110 
.81113 
.81115 
.81117 

.64730 
.64733 
.64737 
.64740 

9.81250 
.81252 
.81255 
.81257 

.64938 
.61942 
.64945 
.64949 

+      9" 

37 

38 
39 

9.80697 
.80700 
.80702 
.80704 

.64117 
.64121 
.64124 
.64128 

9.80839 
.80841 
.80844 
.80846 

.64326 
.64330 
.64333 
.64337 

9.80980 
.80982 
.80984 
.80987 

.64535 
.64539 
.64542 
.64546 

9.81120 
.81122 
.81124 
.81127 

.64744 
.64747 
.64751 
.64754 

9.81259 
.81262 
.81264 
.81266 

.64952 
.64956 
.64959 
.64962 

24 
23 

22 
21 

+    W 

41 
42 
43 

9.80707 
.80709 
.80712 
.80714 

.64131 
.64135 
.64138 
.64142 

9.80848 
.80851 
.80853 
.80855 

.64340 
.64344 
.64347 
.64351 

9.80989 
.80991 
.80994 
.80996 

.64549 
.64552 
.64556 
.64559 

9.81129 
.81131 
.81134 
.81136 

.64758 
.64761 
.64765 
.64768 

9.81269 
.81271 
.81273 
.81276 

.64966 
.64969 
.64973 
.64976 

20 
19 
18 
17 

+  ir 

45 
46 
47 

9.80716 
.80719 
.80721 
.80723 

.64145 
.64148 
.64152 
.64155 

9.80858 
.80860 
.80862 
.80865 

.64354 
.64358 
.64361 
.64365 

9.80998 
.81001 
.81003 
.81005 

.64563 
.64566 
.64570 
.64573 

9.81138 
.81141 
.81143 
.81145 

.64772 
.64775 
.64778 
.64782 

9.81278 
.81280 
.81282 
.81285 

.64980 
.64983 
.64987 
.64990 

16 
15 
14 
IS 

+    ir 

49 
50 
51 

9.80726 
.80728 
.80730 
.80733 

.64159 
.64162 
.64166 
.64169 

9.80867 
.80869 
.80872 
.80874 

.64368 
.64372 
.64375 
.64378 

9.81008 
.81010 
.81012 
.81015 

.G4577 
.64580 
.64584 
.64587 

9.81148 
.81150 
.81152 
.81155 

.64785 
.64789 
.64792 
.64796 

9.81287 
.81289 
.81292 
.81294 

.64994 
.64997 
.65001 
.65004 

12 

11 

10 

9 

+    W 

53 
54 
55 

9.80735 
.80738 
.80740 
.80742 

.64173 
.64176 
.64180 
.64183 

9.80876 
.80879 
.80881 
.80883 

.64382 
.64385 
.64389 
.64392 

9.81017 
.81019 
.81022 
.81024 

.64591 
.64594 
.64598 
.64601 

9.81157 
.81159 
.81162 
.81164 

.64799 
.64803 
.64806 
.64810 

9.81296 
.81299 
.81301 
.81303 

.65008 
.65011 
.65014 
.65018 

8 
7 
6 
5 

+    W 

57 
58 
59 

9.80745 
.80747 
.80749 
.80752 

.64187 
.64190 
.64194 
.64197 

9.80886 
.80888 
.80891 
.80893 

.64396 
.64399 
.64403 
.64406 

9.81026 
.81029 
.81031 
.81033 

.64605 
.64608 
.64612 
.64615 

9.81166 
.81169 
.81171 
.81173 

.64813 
.64817 
.64820 
.64824 

9.81306 
.81308 
.81310 
.81313 

.65021 
.65025 
.65028 
.65032 

4 
3 
2 
1 

+    W 

9.80754 

.64201 

9.80895 

.64410 

9.81036 

.64619 

9.81176 

.64827 

9.81315 

.65035 

0 

16^. 

S4m 

16^ 

53m 

16h 

5^771 

16h  5im         1 

16h  50m          1 

55901°- 


Page  130]                  TABLE  IV. 

Haversinea. 

8 

7A  lOm  107°  30' 

7h  iim  107°  45' 

7h  12m  108°  0' 

7h  13m  108°  15' 

7h  14m  108°  W 

8 

Log.  nav 

Nat.  Hav 

Log.  Hav. 

Nat.  Hav 

Log.  Hav 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav 

Nat.  Hav. 

0 

1 

2 
3 

9.81315 
.81317 
.81320 
.81322 

.65035 
.65039 
.65042 
.65046 

9.81454 
.81456 
.81458 
.81460 

.65243 
.65247 
.65250 
.65254 

9.81592 
.81594 
.81596 
.81598 

.65451 
.65454 
.65458 
.65461 

9.81729 
.81731 
.81733 
.81736 

.65658 
.65662 
.65665 
.65668 

9.81866 
.81868 
.81870 
.81872 

.65865 
.65869 
.65872 
.65876 

60 
59 
58 
57 

+    r 

5 
6 

7 

9.81324 
.81326 
.81329 
.81331 

.65049 
.65053 
.65056 
.65060 

9.81463 
.81465 
.81467 
.81470 

.65257 
.65261 
.65264 
.65267 

9.81601 
.81603 
.81605 
.81608 

.65465 
.65468 
.65472 
.65475 

9.81738 
.81740 
.81743 
.81745 

.65672 
.65675 
.65679 
.65682 

9.81875 
.81877 
.81879 
.81882 

.65879 

.65882 
.65886 
.65889 

56 

55 
54 
53 

+  r 

9 
10 
11 

9.81333 
.81336 
.81338 
.81340 

.65063 
.65066 
.65070 
.65073 

9.81472 
.81474 
.81477 
.81479 

.65271 
.65274 
.65278 
.65281 

9.81610 
.81612 
.81614 
.81617 

.65479 
.65482 
.65485 
.65489 

9.81747 
.81749 
.81752 
.81754 

.65686 
.65689 
.65693 
.65696 

9.81884 
.81886 
.81888 
.81891 

.65893 
.65896 
.65900 
.65903 

52 
51 
50 
49 

+  3' 

13 
14 

15 

9.81343 
.81345 
.81347 
.81350 

.65077 
.65080 
.65084 
.65087 

9.81481 
.81483 
.81486 
.81488 

.65285 
.65288 
.65292 
.65295 

9.81619 
.81621 
.81624 
.81626 

.65492 
.65496 
.65499 
.65503 

9.81756 
.81759 
.81761 
.81763 

.65700 
.65703 
.65707 
.65710 

9.81893 
.81895 
.81897 
.81900 

.65907 
.65910 
.65914 
.65917 

48 
47 
46 
45 

44 
43 
42 
41 

+      i' 
17 

18 
19 

9.81352 
.81354 
.81357 
.81359 

.65091 
.65094 
.65098 
.65101 

9.81490 
.81493 
.81495 
.81497 

.65299 
.65302 
.65306 
.65309 

9.81628 
.81631 
.81633 
.81635 

.65506 
.65510 
.65513 
.65516 

9.81765 
.81768 
.81770 
.81772 

.65713 
.65717 
.65720 
.65724 

9.81902 
.81904 
.81907 
.81909 

.65920 
.65924 
.65927 
.65931 

-f   5' 

21 

22 
23 

9.81361 
.81364 
.81366 
.81368 

.65105 
.65108 
.65112 
.65115 

9.81500 
.81502 
.81505 
.81507 

.65312 
.65316 
.65319 
.65323 

9.81637 
.81640 
.81642 
.81644 

.65520 
.65523 
.65527 
.65530 

9.81775 
.81777 
.81779 
.81781 

.65727 
.65731 
.65734 
.65738 

9.81911 
.81913 
.81916 
.81918 

.65934 
.65938 
.65941 
.65944 

40 
39 
38 

37 

+   6' 

25 
26 
27 

9.81370 
.81373 
.81375 
.81377 

.65118 
.65122 
.65125 
.65129 

9.81509 
.81511 
.81513 
.81516 

.65326 
.65330 
.65333 
.65337 

9.81647 
.81649 
.81651 
.81653 

.65534 
.65537 
.65541 
.65544 

9.81784 
.81786 
.81788 
.81791 

.65741 
.65744 
.65748 
.65751 

9.81920 
.81922 
.81925 
.81927 

.65948 
.65951 
.65955 
.65958 

36 
35 
34 
S3 
S2 
31 
SO 
29 
28 
27 
26 
25 

24 

23 
22 
21 

+    r 

29 
30 
31 

9.81380 
.81382 
.81384 
.81387 

.65132 
.65136 
.65139 
.65143 

9.81518 
.81520 
.81523 
.81525 

.65340 
.65344 
.65347 
.65351 

9.81656 
.81658 
.81660 
.81663 

.65548 
.65551 
.65555 
.65558 

9.81793 

.81795 
.81797 
.81800 

.65755 
.65758 
.65762 
.65765 

9.81929 
.81931 
.81934 
.81936 

.65962 
.65965 
.65969 
.65972 

+   8' 

33 
34 
35 

9.81389 
.81391 
.81394 
.81396 

.65146 
.65150 
.65153 
.65157 

9.81527 
.81530 
.81532 
.81534 

.65354 
.65357 
.65361 
.65364 

9.81665 
.81667 
.81669 
.81672 

.65561 
.65565 
.65568 
.65572 

9.81802 
.81804 
.81806 
.81809 

.65769 
.65772 
.65776 
.65779 

9.81938 
.81941 
.81943 
.81945 

.65976 
.65979 
.65982 
.65986 

+  9' 

37 
38 
39 

9.81398 
.81400 
.81403 
.81405 

.65160 
.65164 
.65167 
.65171 

9.81536 
.81539 
.81541 
.81543 

.6536S 
.65372 
.65375 
.65378 

9.81674 
.81676 
.81679 
.81681 

.65575 
.65579 
.65582 
.65586 

9.81811 
.81813 
.81816 
.81818 

.65782 
.65786 
.65789 
.65793 

9.81947 
.81950 
.81952 
.81954 

.65989 
.65993 
.65996 
.66000 

+  W 

41 
42 
43 

9.81407 
.81410 
.81412 
.81414 

.65174 
.65177 
.65181 
.65184 

9.81546 
.81548 
.81550 
.81552 

.65382 
.65385 
.65389 
.65392 

9.81683 
.81685 
.81688 
.81690 

.65589 
.65593 
.65596 
.65599 

9.81820 
.81822 
.81825 
.81827 

.65796 
.65800 
.65803 
.65807 

9.81956 
.81959 
.81961 
.81963 

.66003 
.66006 
.66010 
.66013 

20 
19 
18 
17 

+    11' 

45 
46 

47 

9.81417 
.81419 
.81421 
.81424 

.65188 
.65191 
.65195 
.65198 

9.81555 
.81557 
.81559 
.81562 

.65396 
.65399 
.65402 
.65406 

9.81692 
.81695 
.81697 
.81699 

.65603 
.65606 
.65610 
.65613 

.81829 
.81832 
.81834 
.81836 

.65810 
.65813 
.65817 
.65820 

9.81965 
.81968 
.81970 
.81972 

.66017 
.66020 
.66024 
.66027 

16 
15 
14 
13 

+    12' 

49 
50 
51 

9.81426 
.81428 
.81430 
.81433 

.65202 
.65205 
.65209 
.65212 

9.81564 
.81566 
.81569 
.81571 

.65409 
.65413 
.65416 
.65420 

9.81701 
.81704 
.81706 
.81708 

.65617 
.65620 
.65624 
.65627 

9.81838 
.81841 
.81843 
.81845 

.65824 
.65827 
.65831 
.65834 

9.81975 
.81977 
.81979 
.81981 

.66031 
.66034 
.66038 
.66041 

12 

11 

10 

9 

+    13' 

53 
54 
55 

9.81435 
.81437 
.81440 
.81442 

.65216 
.65219 
.65222 
.65226 

9.81573 
.81575 
.81578 
.81580 

.65423 
.65427 
.65430 
.65434 

9.81711 
.81713 
.81715 
.81717 

.65630 
.65634 
.65637 
.65641 

9.81847 
.81850 
.81852 
.81854 

.65838 
.65841 
.65845 
.65848 

9.81984 
.81986 
.81988 
.81990 

.66044 
.66048 
.66051 
.66055 

8 
7 
6 
5 

4 
3 
2 
1 
0 

+    14' 

57 
58 
59 

9.81444 
.81447 
.81449 
.81451 

.65229 
.65233 
.65236 
.65240 

9.81582 
.81585 
.81587 
.81589 

.65437 
.65440 
.65444 
.65447 

9.81720 
.81722 
.81724 
.81727 

.65644 
.55648 
.65651 
.65655 

9.81857 
.81859 
.81861 
.81863 

.65851 
.65855 

.65858 
.65862 

9.81993 
.81995 
.81997 
.81999 

.66058 
.66062 
.66065 
.66068 

+  15' 

9.81454 

.65243 

9.81592 

.65451 

9.81729 

.65658 

9.81866 

.65865 

9.82002 

.66072 

16h  49^ 

16^  48m         1 

16h  47m           1 

16h  46^         1 

ifih  45771 

TABLE  IV.                  [Page  131 

Haversines. 

s 

7h  15m  108°  45' 

7h  16m  109°  0' 

7h  17m  109°  15' 

7A  18m  109°  3^ 

7h  19m  109°  4^  1 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
3 

9.82002 
.82004 
.82006 
.82009 

.66073 
.66075 
.66079 
.66082 

9.82137 
.82139 
.82142 
.82144 

.66278 
.66282 
.66385 
.66289 

9.82272 
.82274 
.82277 
.82279 

.66485 
.66488 
.66491 
.66495 

9.82406 
.82409 
.82411 
.82413 

.66690 
.66694 
.66697 
.66701 

9.82540 
.82542 
.82544 
.82547 

.66896 
.66899 
.66903 
.66906 

60 
59 
58 
57 

+    r 

5 
6 

7 

9.82011 
.82013 
.82015 
.82018 

.66086 
.66089 
.66093 
.66096 

9.82146 
.82148 
.82151 
.82153 

.66293 
.66396 
.66299 
.66302 

9.82281 
.82283 
.82286 
.82288 

.66498 
.66502 
.66505 
.66508 

9.82415 
.82417 
.82420 

.82422 

.66704 
.66707 
.66711 
.66714 

9.82549 
.82551 
.82553 
.82555 

.66910 
.66913 
.66916 
.66920 

56 
55 
54 
53 

52 
51 
50 
49 

+      2^ 

9 

10 

11 

9.82020 
.82022 
.82024 
.82027 

.66100 
.66103 
.66106 
.66110 

9.82155 
.82157 
.82160 
.82162 

.66306 
.66309 
.66313 
.66316 

9.82290 
.82292 
.82294 
.82297 

.66512 
.66515 
.66519 
.66522 

9.82424 
.82426 
.82429 
.82431 

.66718 
.66731 
.66735 
.66738 

9.82558 
.82560 
.82562 
.82564 

.66923 
.66927 
.66930 
.66933 

+      3' 

IS 
14 
15 

9.82029 
.82031 
.82033 
.82036 

.66113 
.66117 
.66120 
.66134 

9.82164 
.82166 
.82169 
.82171 

.66320 
.66333 
.66327 
.66330 

9.82299 
.82301 
.82303 
.82306 

.66526 
.66529 
.66533 
.66536 

9.82433 
.82435 
.82438 
.82440 

.66731 
.66735 
.66738 
.66742 

9.82567 
.82569 
.82571 
.82573 

.66937 
.66940 
.66944 
.66947 

48 
47 
46 
45 

44 
43 
42 
41 

+   4' 
17 
18 
19 

9.82038 
.82040 
.82042 
.82045 

.66137 
.66130 
.66134 
.66137 

9.82173 
.82175 
.82178 
.82180 

.66333 
.66337 
.66340 
.66344 

9.82308 
.82310 
.82312 
.82315 

.66539 
.66543 
.66546 
.66550 

9.82442 
.82444 
.82446 
.82449 

.66745 
.66749 
.66752 
.66755 

9.82575 

.82578 
.82580 
.82582 

.66951 
.66954 
.66957 
.66961 

4-   5' 
21 
22 
23 

9.82047 
.82049 
.82051 
.82054 

.66141 
.66144 
.66148 
.66151 

9.82182 
.82184 
.82187 
.82189 

.66347 
.66351 
.66354 
.66357 

9.82317 
.82319 
.82321 
.82324 

.66553 
.66557 
.66560 
.66563 

9.82451 
.82453 
.82455 
.82458 

.66759 
.66762 
.66766 
.66769 

9.82584 
.82587 
.82589 
.82591 

.66964 
.66968 
.66971 
.66975 

40 
39 
38 
37 

+   6^ 

25 
26 

27 

9.82056 
.82058 
.82061 
.82063 

.66155 
.66158 
.66161 
.66165 

9.82191 
.82193 
.82196 
.82198 

.66361 
.66364 
.66368 
.66371 

9.82326 
.82328 
.82330 
.82333 

.66567 
.66570 
.66574 
.66577 

9.82460 
.82462 
.82464 
.82467 

.66773 
.66776 
.66779 
.66783 

9.82593 
.82595 
.82598 
.82600 

.66978 
.66981 
.66985 
.66988 

36 
35 
34 
33 

+    r 

29 
SO 
31 

9.82065 
.82067 
.82070 
.82072 

.66168 
.66173 
.66175 
.66179 

9.82200 
.82202 
.82205 
.82207 

.66375 
.66378 
.66382 
.66385 

9.82335 
.82337 
.82339 
.82341 

.66581 
.66584 
.66587 
.66591 

9.82469 
.82471 
.82473 
.82475 

.66786 
.66790 
.66793 
.66797 

9.82602 
.82604 
.82606 
.82609 

.66992 
.66995 
.66998 
.67002 
.67005 
.67009 
.67012 
.67016 

32 
31 
30 
29 
28 
27 
26 
25 

+      8' 
33 
34 
35 

9.82074 
.82076 
.82079 
.82081 

.66183 
.66186 
.66189 
.66193 

9.82209 
.82211 
.82214 
.82216 

.66388 
.66392 
.66395 
.66399 

9.82344 
.82346 
.82348 
.82350 

.66594 
.66598 
.66601 
.66605 

9.82478 
.82480 
.82482 
.82484 

.66800 
.66803 
.66807 
.66810 

9.82611 
.82613 
.82615 
.82618 

+  ^ 

37 
38 
39 

9.82083 
.82085 
.82088 
.82090 

.66196 
.66199 
.66303 
.66306 

9.82218 
.82220 
.82223 
.82225 

.66402 
.66406 
.66409 
.66412 

9.82353 
.82355 
.82357 
.82359 

.66608 
.66611 
.66615 
.66618 

9.82487 
.82489 
.82491 
.82493 

.66814 
.66817 
.66821 
.66824 

9.82620 
.82622 
.82624 
.82627 

.67019 
.67022 
.67036 
.67029 

24 
23 
22 
21 

+  w 

41 

42 
43 

9.82092 
.82094 
.82097 
.82099 

.66310 
.68313 
.66317 
.66330 

9.82227 
.82229 
.82232 
.82234 

.66416 
.66419 
.66423 
.66426 

9.82362 
.82364 
.82366 
.82368 

.66622 
.66625 
.66629 
.66632 

9.82495 
.82498 
.82500 
.82502 

.66827 
.66831 
.66834 
.66838 

9.82629 
.82631 
.82633 
.82635 

.67033 
.67036 
.67039 
.67043 

20 
19 
18 
17 
16 
15 
14 
13 

+  ir 

45 
46 
47 

9.82101 
.82103 
.82106 
.82108 

.66333 
.66337 
.66330 
.66334 

9.82236 
.82238 
.82241 
.82243 

.66430 
.66433 
.66436 
.66440 

9.82371 
.82373 
.82375 
.82377 

.66635 
.66639 
.66642 
.66646 

9.82504 
.82507 
.82509 
.82511 

.66841 
.66844 
.66848 
.66851 

9.82638 
.82640 
.82642 
.82644 

.67046 
.67050 
.67053 
.67057 

+  ir 

49 
50 
51 

9.82110 
.82112 
.82115 
.82117 

.66337 
.66341 
.66344 
.66347 

9.82245 
.82247 
.82250 
.82252 

.66443 
.66447 
.66450 
.66454 

9.82380 
.82382 
.82384 
.82386 

.66649 
.66653 
.66656 
.66659 

9.82513 
.82515 
.82518 
.82520 

.66855 
.66858 
.66863 
.66865 

9.82646 
.82649 
.82651 
.82653 

.67060 
.67063 
.67067 
.67070 

12 

11 

10 

9 

+    13' 

53 
54 
65 

9.82119 
.82121 
.82124 
.82126 

.66351 
.66354 
.66358 
.66361 

9.82254 
.82256 
.82259 
.82261 

.66457 
.66460 
.66464 
.66467 

9.82388 
.82391 
.82393 
.82395 

.66663 
.66666 
.66670 
.66673 

9.82522 
.82524 
.82527 
.82529 

.66868 
.66872 

.06875 
.66879 

9.82655 
.82657 
.82660 
.82662 

.67074 
.67077 
.67081 
.67084 

8 
7 
6 
5 

+  W 

57 
68 
59 

9.82128 
.82130 
.82133 
.82135 

.66265 
.66368 
.66372 
.66275 

9.82263 
.82265 
.82268 
.82270 

.66471 
.66474 
.66478 
.66481 

9.82397 
.82400 
.82402 
.82404 

.66677 
.66680 
.66683 
.66687 

9.82531 
.82533 
.82535 
.82538 

.G6882 
.G6886 
.66889 
.66892 

9.82664 
.82666 
.82668 
.82671 

.67087 
.67091 
.67094 
.67098 

4 
3 

2 

i 

+     15' 

9.82137 

.66378 

9.82272 

.66485 

9.82406 

.66690 

9.82540 

.66896 

9.82673 

.67101 

0 

16h44m 

16^4Sm 

16h  42m 

16h  4im 

16h40m 

Page  132]                  TABLE  IV. 

Haversines. 

s 

7ft  20m  110°  0' 

7A  21^  110°  15' 

7A  22^  110°  30' 

7ft  23m  110°  45' 

7ft  24'^  111°  0' 

3 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 

1 
2 
3 

9.82673 
.82675 
.82677 
.82680 

.67101 
.67104 
.67108 
.67111 

9.82805 
.82807 
,82810 

.82812 

.67306 
.67309 
.67313 
.67316 

9.82937 
.82939 
.82941 
.82944 

.67510 
.67514 
.67517 
.67521 

9.83068 
.83070 
.83073 
.83075 

.67715 
.67718 
.67721 
.67725 

9.83199 
.83201 
.83203 
.83205 

.67918 
.67922 
.67925 
.67929 

60 
59 
58 
57 

+   1' 

5 
6 
7 

9.82682 
.82684 
.82686 
.82688 

.67115 
.67118 
.67123 
.67125 

9.82814 
.82816 
.82818 
.82821 

.67320 
.67323 
.67326 
.67330 

9.82946 
.82948 
.82950 
.82952 

.67524 
.67527 
.67531 
.67534 

9.83077 
.83079 
.83081 
.83083 

.67728 
.67732 
.67735 
.67738 

9.83207 
.83210 
.83212 
.83214 

.67932 
.67935 
.67939 
.67942 

56 
55 
54 
53 

+  V 

9 

10 

11 

9.82691 
.82693 
.82695 
.82697 

.67128 
.67132 
.67135 
.67139 

9.82823 
.82825 
.82827 
.82829 

.67333 
.67337 
.67340 
.67343 

9.82955 
.82957 
.82959 
.82961 

.67538 
.67541 
.67544 
.67548 

9.83086 
.83088 
.83090 
.83092 

.67743 
.67745 
.67749 
.67753 

9.83216 
.83218 
.83220 
.83223 

.67946 
.67949 
.67952 
.67956 

52 
51 

50 
49 
48 
47 
46 
45 

44 

43 
42 
41 

+  3' 

13 
14 
15 

9.82699 
.82702 
.82704 
.82706 

.67142 
.67145 
.67149 
.67152 

9.82832 
.82834 
.82836 
.82838 

.67347 
.67350 
.67354 
.67357 

9.82963 
.82966 
.82968 
.82970 

.67551 
.67555 
.67558 
.67561 

9.83094 
.83097 
.83099 
.83101 

.67755 
.67759 
.67762 
.67766 

9.83225 
.83227 
.83229 
.83231 

.67959 
.67963 
.67966 
.67989 

+  4' 
19 

9.82708 
.82710 
.82713 
.82715 

.67156 
.67159 
.67163 
.67166 

9.82840 
.82843 
.82845 
.82847 

.67360 
.67364 
.67367 
.67371 

9.82972 
.82974 
.82976 
.82979 

.67565 
.67568 
.67572 
.67575 

9.83103 
.83105 
.83107 
.83110 

.67769 
.67772 
.67776 
.67779 

9.83233 
.83236 
.83238 
.83240 

.67973 
.67976 
.67979 
.67983 

+   5' 

;?5 

9.82717 
.82719 

.82722 
.82724 

.67169 
.67173 
.67176 
.67180 

9.82849 
.82851 
.82854 
.82856 

.67374 
.67377 
.67381 
.67384 

9.82981 
.82983 
.82985 
.82987 

.67578 
.67583 
.67585 
.67589 

9.83112 
.83114 
.83116 
.83118 

.67783 
.67786 
.67789 
.67793 

9.83242 
.83244 
.83246 
.83249 

.67986 
.67990 
.67993 
.67996 

40 
39 
38 
37 

+  6' 

25 
26 

21 

9.82726 
.82728 
.82730 
.82733 

.67183 
.67186 
.67190 
.67193 

9.82858 
.82860 
.82862 
.82865 

.67388 
.67391 
.67395 
.67398 

9.82990 
.82992 
.82994 
.82996 

.67592 
.67595 
.67599 
.67602 

9.83120 
.83123 
.83125 
.83127 

.67796 
.67800 
.67803 
.67806 

9.83251 
.83253 
.83255 
.83257 

.68000 
.68003 
.68007 
.68010 

36 
35 
34 
S3 

+    r 

29 
30 
31 

9.82735 
.82737 
.82739 
.82741 

.67197 
.67200 
.67203 
.67207 

9.82867 
.82869 
.82871 
.82873 

.67401 
.67405 
.67408 
.67412 

9.82998 
.83001 
.83003 
.83005 

.67606 
.67609 
.67613 
.67616 

9.83129 
.83131 
.83134 
.83136 

.67810 
.67813 
.67817 
.67820 

9.83259 
.83262 
.83264 
.83266 

.68013 
.68017 
.68020 
.68034 

32 
31 
30 

29 

+  8' 
33 
34 
35 

9.82744 
.82746 
.82748 
.82750 

.67210 
.67214 
.67217 
.67221 

9.82876 
.82878 
.82880 
.82882 

.67415 
.67418 
.67422 
.67425 

9.83007 
.83009 
.83011 
.83014 

.67619 
.67623 
.67636 
.67630 

9.83138 
.83140 
.83142 
.83144 

.67823 
.67837 
.67830 
.67834 

9.83268 
.83270 

.83272 
.83275 

.68027 
.68030 
.68034 
.68037 

28 
27 
26 
25 

24 
23 
22 
21 

+     9^ 

31 
38 
39 

9.82752 
.82755 

.82757 
.82759 

.67224 
.67227 
.67231 
.67234 

9.82884 
.82887 
.82889 
.82891 

.67429 
.67432 
.67435 
.67439 

9.83016 
.83018 
.83020 
.83022 

.67633 
.67636 
.67640 
.67643 

9.83147 
.83149 
.83151 
.83153 

.67837 
.67840 
.67844 
.67847 

9.83277 
.83279 
.83281 
.83283 

.68041 
.68044 
.68047 
.68051 

+    W 

41 

42 
43 

9.82761 
.82763 
.82766 
.82768 

.67238 
.67241 
.67244 
.67248 

9.82893 
.82895 
.82898 
.82900 

.67442 
.67446 
.67449 
.67452 

9.83025 
.83027 
.83029 
.83031 

.67647 
.67650 
.67653 
.67657 

9.83155 
.83157 
.83160 
.83162 

.67850 
.67854 
.67857 
.67861 

9.83285 
.83288 
.83290 
.83292 

.68054 
.68058 
.68061 
.68064 

20 
19 
18 
17 

+    11' 

45 
46 

41 

9.82770 

.82772 
.82774 
.82777 

.67251 
.67355 
.67258 
.67261 

9.82902 
.82904 
.82906 
.82909 

.67456 
.67459 
.67463 
.67466 

9.83033 
.83035 
.83038 
.83040 

.67660 
.67664 
.67667 
.67670 

9.83164 
.83166 
.83168 
.83170 

.67864 
.67868 
.67871 
.67874 

9.83294 
.83296 
.83298 
.83301 

.68068 
.68071 
.68074 

.68078 

16 
15 
14 
13 

+   12' 

49 
50 
51 

9.82779 
.82781 
.82783 
.82785 

.67265 
.67268 
.67272 
.67275 

9.82911 
.82913 
.82915 
.82917 

.67469 
.67473 
.67476 
.67480 

9.83042 
.83044 
.83046 
.83049 

.67674 
.67677 
.67681 
.67684 

9.83173 
.83175 
.83177 
.83179 

.67878 
.67881 
.67884 

.67888 

9.83303 
.83305 
.83307 
.83309 

.68081 
.68085 

.68088 
.68091 

12 

11 

10 

9 

+    13' 

53 
54 
55 

9.82788 
.82790 
.82792 
.82794 

.67279 
.67282 
.67285 
.67289 

9.82920 
.82922 
.82924 
.82926 

.67483 
.67487 
.67490 
.67493 

9.83051 
.83053 
.83055 
.83057 

.67687 
.67691 
.67694 
.67698 

9.83181 
.83184 
.83186 
.83188 

.67891 
.67895 
.67898 
.67901 

9.83311 
.83314 
.83316 
.83318 

.68095 
.68098 
.68103 
.68105 

8 
7 
6 
5 

+   U' 

51 
58 
59 

9.82796 
.82799 
.82801 
.82803 

.67392 
.67296 
.67299 
.67302 

9.82928 
.82930 
.82933 
.82935 

.67497 
.67500 
.67504 
.67507 

9.83059 
.83062 
.83064 
.83066 

.67701 
.67704 
.67708 
.67711 

9.83190 
.83192 
.83194 
.83197 

.67905 
.67908 
.67913 
.67915 

9.83320 
.83322 
.83324 
.83327 

.68108 
.68112 
.68115 
.68119 

4 
3 
2 
1 

+    15' 

9.82805 

.67306 

9.82937 

.67510 

9.83068 

.67715 

9.83199 

.67918 

9.83329 

.68122 

0 

16h  S9m 

16^  38m         1 

16h  37m         1 

IG^Serr^          j    16^35^          | 

TABLE  IV.                 [Page  133 

Haversines. 

s 

7ft  25m  111°  15' 

7ft  26rn  111°  30' 

7ft  27m  111°  45'  1 

7ft  ggm  112°  C 

7ft  29m  112°  15' 

s 

Log.  nav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 

1 
2 
3 

9.83329 
.83331 
.83333 
.83335 

.68133 
.68135 
.68129 
.68133 

9.83458 
.83460 
.83462 
.83464 

.68335 
.68328 
.68332 
.68335 

9.83587 
.83589 
.83591 
.83593 

.68538 
.68531 
.68535 

.68538 

9.83715 
.83717 
.83719 
.83721 

.68730 
.68734 
.68737 
.68740 

9.83842 
.83844 
.83847 
.83849 

.68933 
.68936 
.68939 
.68943 

60 
59 
58 
57 
56 
65 
54 
53 

52 
51 
50 
49 

+    r 

5 
6 

7 

9.83337 
.83339 
.83342 
.83344 

.68135 
.68139 
.68143 
.68146 

9.83467 
.83469 
.83471 
.83473 

.68339 
.68343 
.68345 
.68349 

9.83595 
.83597 
.83600 
.83602 

.68541 
.68545 
.68548 
.68552 

9.83723 
.83725 
.83728 
.83730 

.68744 
.68747 
.68751 
.68754 

9.83851 
.83853 
.83855 
.83857 

.68946 
.68949 
.68953 
.68956 

+     V 

9 

10 

11 

9.83346 
.83348 
.83350 
.83352 

.68149 
.68153 
.68156 
.68159 

9.83475 

.83477 
.83480 
.83482 

.68353 
.68356 
.68359 
.68362 

9.83604 
.83606 
.83608 
.83610 

.68555 
.68558 
.68562 
.68565 

9.83732 
.83734 
.83736 
.83738 

.68757 
.68761 
.68764 
.68767 

9.83859 
.83861 
.83864 
.83866 

.68959 
.68963 
.68966 
.68969 

+  3' 

IS 
14 
15 

9.83355 
.83357 
.83359 
.83361 

.68163 
.68166 
.68169 
.68173 

9.83484 
.83486 
.83488 
.83490 

.68366 
.68369 
.68372 
.68376 

9.83612 
.83615 
.83617 
.83619 

.68568 
.68572 
.68575 
.68579 

9.83740 
.83743 
.83745 
.83747 

.68771 
.68774 

.68778 
.68781 

9.83868 
.83870 
.83872 
.83874 

.68973 
.68976 
.68980 

.68983 

48 
47 
46 
45 

44 
43 
42 
41 
40 
39 
38 
37 

+   4' 
17 
18 
19 

9.83363 
.83365 
.83368 
.83370 

.68176 
.68180 

.68183 
.68186 

9.83492 
.83495 
.83497 
.83499 

.68379 
.68383 
.68386 
.68389 

9.83621 
.83623 
.83625 
.83627 

.68583 
.68585 
.68589 
.68593 

9.83749 
.83751 
.83753 
.83755 

.68784 
.68788 
.68791 
.68794 

9.83876 
.83878 
.83881 
.83883 

.68986 
.68990 
.68993 
.68996 

+     5' 
21 
22 
23 

9.83372 
.83374 
.83376 
.83378 

.68190 
.68193 
.68196 
.68200 

9.83501 
.83503 
.83505 
.83507 

.68393 
.68396 
.68399 
.68403 

9.83630 
.83632 
.83634 
.83636 

.68595 
.68599 
.68603 
.68606 

9.83757 
.83760 
.83762 
.83764 

.68798 
.68801 
.68804 
.68808 

9.83885 
.83887 
.83889 
.83891 

.69000 
.69003 
.69006 
.69010 

+   6' 

25 
26 

27 

9.83380 
.83383 
.83385 
.83387 

.68303 
.68307 
.68210 
.68313 

9.83510 
.83512 
.83514 
.83516 

.68406 
.68410 
.68413 
.68416 

9.83638 
.  .83640 
.83642 
.83644 

.68609 
.68612 
.68616 
.68619 

9.83766 
.83768 
.83770 
.83772 

.68811 
.68815 

.68818 
.68831 

9.83893 
.83895 
.83897 
.83900 

.69013 
.69017 
.69030 
.69033 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.83389 
.83391 
.83393 
.83396 

.68217 
.68220 
.68224 
.68227 

9.83518 
.83520 
.83522 
.83525 

.68420 
.68423 
.68427 
.68430 

9.83647 
.83649 
.83651 
.83653 

.68632 
.68626 
.68629 
.68633 

9.83774 
.83777 
.83779 
.83781 

.68835 
.68828 
.68831 
.68835 

9.83902 
.83904 
.83906 
.83908 

,69037 
.69030 
.69033 
.69037 

32 
31 
30 
29 

+     8^ 
33 
34 
35 

9.83398 
.83400 
.83402 
.83404 

.68330 
.68334 
.68337 
.68240 

9.83527 
.83529 
.83531 
.83533 

.68433 
.68437 
.68440 
.68443 

9.83655 
.83657 
.83659 
.83662 

.68636 
.68639 
.68643 
.68646 

9.83783 
.83785 
.83787 
.83789 

.68838 
.68843 
.68845 
.68848 

9.83910 
.83912 
.83914 
.83916 

.69040 
.69044 
.69047 
.69050 

28 
27 
26 
25 

+  9' 

37 
38 
39 

9.83406 
.83409 
.83411 
.83413 

.68244 
.68247 
.68251 
.68254 

9.83535 
.83537 
.83540 
.83542 

.68447 
.68450 
.68454 
.68457 

9.83664 
.83666 
.83668 
.83670 

.68649 
.68653 
.68656 
.68660 

9.83791 
.83794 
.83796 
.83798 

.68853 
.68855 
.68858 
.68863 

9.83919 
.83921 
.83923 
.83925 

.69054 
.69057 
.69060 
.69064 

24 
23 
22 
21 

41 
42 
43 

9.83415 
.83417 
.83419 
.83421 

.68257 
.68261 
.68264 
.68268 

9.83544 
.83546 
.83548 
.83550 

.68460 
.68464 
.68467 
.68470 

9.83672 
.83674 
.83676 
.83679 

.68663 
.68666 
.68670 
.68673 

9.83800 
.83802 
.83804 
.83806 

.68865 
.68869 

.68872 
.68875 

9.83927 
.83929 
.83931 
.83933 

.69067 
.69070 
.69074 
.69077 

20 
19 
18 
17 

45 
46 

47 

9.83424 
.83426 
.83428 
.83430 

.68271 

.68374 

.68278 
.68281 

9.83552 
.83555 
.83557 
.83559 

.68474 
.68477 
.68481 
.68484 

9.83681 
.83683 
.83685 
.83687 

.68676 
.68680 
.68683 
.68687 

9.83808 
.83811 
.83813 
.83815 

.68879 

.68882 
.68885 
.68889 

9.83935 
.83938 
.83940 
.83942 

.69080 
.69084 
.69087 
.69091 

16 
15 
14 
13 

+    ir 

49 
50 
51 

9.83432 
.83434 
.83436 
.83439 

.68284 
.68288 
.68291 
.68295 

9.83561 
.83563 
.83565 
.83567 

.68487 
.68491 
.68494 
.68497 

9.83689 
.83691 
.83694 
.83696 

.68690 
.68693 
.68697 
.68700 

9.83817 
.83819 
.83821 
.83823 

.68892 
.68895 
.68899 
.68902 

9.83944 
.83946 
.83948 
.83950 

.69094 
.69097 
.69101 
.69104 

12 

11 

10 

9 

+  13^ 

53 
54 
55 

9.83441 
.83443 
.83445 
.83447 

.68398 
.68301 
.68305 
.68308 

9.83570 
.83572 
.83574 
.83576 

.68501 
.68504 
.68508 
.68511 

9.83698 
.83700 
.83702 
.83704 

.68703 
.68707 
.68710 
.68713 

9.83825 
.83828 
.83830 
.83832 

.68906 
.68909 
.68912 
.68916 

9.83952 
.83955 
.83957 
.83959 

.69107 
.69111 
.69114 
.69117 

8 

7 
6 
5 

+  W 

57 
58 
59 

9.83449 
.83452 
.83454 
.83456 

.68313 
.68315 
.68318 
.68333 

9.83578 
.83580 
.83582 
.83585 

.68515 
.68518 
.68521 
.68525 

9.83706 
.83708 
.83711 
.83713' 

.68717 
.68720 
.68724 
.68727 
.68730 

9.83834 
.83836 
.83838 
.83840 

.68919 
.68923 
.68936 
.68939 

9.83961 
.83963 
.83965 
.83967 

.69121 
.69134 
.69137 
.69131 

4 
3 

2 
1 
0 

_ 

+  15^ 

9.83458 

.68335 

9.83587 

.68528 

9.83715 

9.83842 

.68933 

9.83969 

.69134 

16^  34'^ 

16^  33m 

16h  32^ 

^6ft  Sim 

le^som 

Page  134]                  TABLE  IV. 

Haversinee. 

s 

7ft  ^aw  112°  30' 

7h.  Sim  113°  45^  |  7h  32^  113°  C  | 

7h  33m  113°  15' 

7ft  S4m  113°  30'  | 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
3 

9.83969 
.83971 
.83974 
.83976 

.69134 
.69138 
.69141 
.69144 

9.84096 
.84098 
.84100 
.84102 

.69336 
.69339 
.69343 
.69346 

9.84221 
.84223 
.84226 
.84228 

.69537 
.69540 
.69543 
.69547 

9.84346 
.84349 
.84351 
.84353 

.69737 
.69741 
.69744 
.69747 

9.84471 
.84473 
.84475 
.84477 

.69937 
.69941 
.69944 
.69947 

60 
59 
58 
57 

+    r 

5 
6 

7 

9.83978 
.83980 
.83982 
.83984 

.69148 
.69151 
,69154 
.69158 

9.84104 
.84106 
.84108 
.84110 

.69349 
.69353 
.69356 
.69359 

9.84230 
.84232 
.84234 
.84236 

.69550 
.69553 
.69557 
.69560 

9.84355 
.84357 
.84359 
.84361 

.69751 
.69754 
.69757 
.69761 

9.84479 
.84481 
.84483 
.84485 

.69951 
.69954 
.69957 
.69961 

56 
55 
54 
53 

+     3' 

9 

10 

11 

9.83986 
.83988 
.83990 
.83992 

.69161 
.69164 
.69168 
.69171 

9.84112 
.84114 
.84117 
.84119 

.69363 
.69366 
.69369 
.69373 

9.84238 
.84240 
.84242 
.84244 

.69563 
.69567 
.69570 
.69573 

9.84363 
.84365 
.84367 
.84369 

.69764 
.69767 
.69771 
.69774 

9.84488 
.84490 
.84492 
.84494 

.69964 
.69967 
.69971 
.69974 

52 
51 

50 
49 

+   3' 

13 
14 
15 

9.83995 
.83997 
.83999 
.84001 

.69174 
.69178 
.69181 
.69185 

9.84121 
.84123 
.84125 
.84127 

.69376 
.69379 
.69383 
.69386 

9.84246 
.84248 
.84251 
.84253 

.69577 
.69580 
.69583 
.69587 

9.84371 
.84373 
.84376 
.84378 

.69777 
.69781 
.69784 
.69787 

9.84496 
.84498 
.84500 
.84502 

.69977 
.69981 
.69984 
.69987 

48 
47 
46 

45 

+   4' 

17 
18 
19 

9.84003 
.84005 
.84007 
.84009 

.69188 
.69191 
.69195 
.69198 

9.84129 
.84131 
.84133 
.84135 

.69389 
.69393 
.69396 
.69399 

9.84255 
.84257 
.84259 
.84261 

.69590 
.69593 
.69597 
.69600 

9.84380 
.84382 
.84384 
.84386 

.69791 
.69794 
.69797 
.69801 

9.84504 
.84506 
.84508 
.84510 

.69991 
.69994 
.69997 
.70001 

44 
43 
42 
41 

+   5' 

21 
22 
2S 

9.84011 
.84014 
.84016 
.84018 

.69301 
.69305 
.69308 
.69311 

9.84138 
.84140 
.84142 
.84144 

.69403 
.69406 
.69409 
.69413 

9.84263 
.84265 
.84267 
.84269 

.69803 
.69607 
.69610 
.69614 

9.84388 
.84390 
.84392 
.84394 

.69804 
.69807 
.69811 
.69814 

9.84512 
.84514 
.84517 
.84519 

.70004 
.70007 
.70011 
.70014 

40 

39 
38 
37 

+  6' 

25 
26 
27 

9.84020 
.84022 
.84024 
.84026 

.69315 
.69318 
.69331 
.69335 

9.84146 
.84148 
.84150 
.84152 

.69416 
.69419 
.69433 
.69436 

9.84271 

.  .84274 
.84276 
.84278 

.69617 
.69630 
.69634 
.69637 

9.84396 
.84398 
.84400 
.84403 

.69817 
.69831 

.69834 
.69837 

9.84521 
.84523 
.84525 
.84527 

.70017 
.70031 
.70034 
.70037 

36 
35 
34 
33 

+    r 

29 
SO 
31 

9.84028 
.84030 
.84033 
.84035 

.69338 
.69333 
.69335 
.69338 

9.84154 
.84156 
.84159 
.84161 

.69439 
.69433 
.69436 
.69439 

9.84280 
.84282 
.84284 
.84286 

.69630 
.69634 
.69637 
.69640 

9.84405 
.84407 
.84409 
.84411 

.69831 
.69834 
.69837 
.69841 

9.84529 
.84531 
.84533 
.84535 

.70031 
.70034 
.70037 
.70041 

32 
31 
30 
29 

+  8' 
S3 

34 
35 

9.84037 
.84039 
.84041 
.84043 

.69343 
.69345 
.69348 
.69353 

9.84163 
.84165 
.84167 
.84169 

.69443 
.69446 
.69450 
.69453 

9.84288 
.84290 
.84292 
.84294 

.69644 
.69647 
.69650 
.69654 

9.84413 
.84415 
.84417 
.84419 

.69844 
.69847 
.69851 
.69854 

9.84537 
.84539 
.84541 
.84543 

.70044 
.70047 
.70051 
.70054 

28 
27 
26 

25 

+     9^ 

37 
38 
39 

9.84045 
.84047 
.84049 
.84051 

.69355 
.69358 
.69363 
.69365 

9.84171 
.84173 
.84175 
.84177 

.69456 
.69460 
.69463 
.69466 

9.84296 
.84299 
.84301 
.84303 

.69657 
.69660 
.69664 
.69667 

9.84421 
.84423 
.84425 
.84427 

.69857 
.69861 
.69864 
.69867 

9.84545 
.84547 
.84550 
.84552 

.70057 
.70061 
.70064 
.70067 

24 
23 
22 
21 
20 
19 
18 
17 

+  W 

41 
42 
4S 

9.84054 
.84056 
.84058 
.84060 

.69368 
.69373 
.69375 
.69379 

9.84179 
.84182 
.84184 
.84186 

.69470 
.69473 
.69476 
.69480 

9.84305 
.84307 
.84309 
.84311 

.69670 
.69674 
.69677 
.69680 

9.84430 
.84432 
.84434 
.84436 

.69871 
.69874 
.69877 
.69881 

9.84554 
.84556 
.84558 
.84560 

.70071 
.70074 
.70077 
.70081 

+  11^ 

46 
47 

9.84062 
.84064 
.84066 
.84068 

.69383 
.69385 
.69389 
.69393 

9.84188 
.84190 
.84192 
.84194 

.69483 
.69486 
.69490 
.69493 

9.84313 
.84315 
.84317 
.84319 

.69684 
.69687 
.69690 
.69694 

9.84438 
.84440 
.84442 
.84444 

.69884 
.69887 
.69891 
.69894 

9.84562 
.84564 
.84566 
.84568 

.70084 
.70087 
.70091 
.70094 

16 
15 
14 
IS 

+  ir 

49 
50 
51 

9.84070 
.84072 
.84075 
.84077 

.69395 
.69399 
.69303 
.69305 

9.84196 
.84198 
.84200 
.84203 

.69496 
.69500 
.69503 
.69506 

9.84321 
.84324 
.84326 
.84328 

.69697 
.69700 
.69704 
.69707 

9.84446 
.84448 
.84450 
.84452 

.69897 
.69901 
.69904 
.69907 

9.84570 
.84572 
.84574 
.84576 

.70097 
.70101 
.70104 
.70107 

12 
11 
10 
9 
8 
7 
6 
5 

+  13' 

53 

54 
55 

9.84079 
.84081 
.84083 
.84085 

.69309 
.69313 
.69315 
.69319 

9.84205 
.84207 
.84209 
.84211 

.69510 
.69513 
.69516 
.69530 

9.84330 
.84332 
.84334 
.84336 

.69710 
.69714 
.69717 
.69730 

9.84454 
.84456 
.84459 
.84461 

.69911 
.69914 
.69917 
.69931 

9.84578 
.84581 
.84583 
.84585 

.70111 
.70114 
.70117 
.70131 

+  14' 

57 

55 
59 

9.84087 
.84089 
.84091 
.84093 

.69333 
.69336 
.69339 
.69333 

9.84213 
.84215 
.84217 
.84219 

.69533 
.69527 
.69530 
.69533 

9.84.338 
.84340 
.84342 
.84344 

.69734 
.69737 
.69731 
.69734 

9.84463 
.84465 
.84467 
.84469 

.69934 
.69937 
.69931 
.69934 

9.84587 
.84589 
.84591 
.84593 

.70134 
.70137 
.70131 
.70134 

4 
S 

2 

1 

+  15' 

9.84096 

.69336 

9.84221 

.69537 

9.84346 

.69737 

9.84471 

.69937 

9.84595 

.70137 

0 

ifift  29m 

IQh  2Sm 

16h  27m 

16ft  26m 

16fi  25m 

TABLE  IV. 

Havereines. 

[Page  136 

s 

Jh  35m  113°  45' 

7h  sem  114°  6' 

7h  S7m  114°  15^ 

7h  SS-m  114°  30' 

7h  39m  114°  45'  1 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 

1 
2 

3 

9.84595 
.84597 
.84599 
.84601 

.70137 
.70141 
.70144 
.70147 

9.84718 
.84720 
.84722 
.84724 

.70337 
.70340 
.70343 
.70347 

9.84841 
.84843 
.84845 

.84847 

.70536 
.70539 
.70543 
.70546 

9.84903 
.84965 
.84967 
.84969 

.70735 
.70738 
.70741 
.70745 

9.85085 
.85087 
.85089 
.85091 

.70933 
.70936 
.70940 
.70943 

60 
59 
58 
57 

+    r 

5 
6 
7 

9.84603 
.84605 
.84607 
.84609 

.70151 
.70154 
.70157 
.70161 

9.84726 
.84729 
.84731 
.84733 

.70350 
.70353 
.70357 
.70360 

9.84849 
.84851 
.84853 
.84855 

.70549 
.70553 
.70556 
.70559 

9.84971 
.84973 
.84975 
.84977 

.70748 
.70751 
.70755 
.70758 

9.85093 
.85095 
.85097 
.85099 

.70946 
.70950 
.70953 
.70956 

56 
55 
54 
53 

+   2' 

9 

10 

11 

9.84611 
.84613 
.84616 
.84618 

.70164 
.70167 
.70171 
.70174 

9.84735 
.84737 
.84739 
.84741 

.70363 
.70367 
.70370 
.70373 

9.84857 
.84859 
.84861 
.84863 

.70562 
.70566 
.70569 
.70572 

9.84979 
.84982 
.84984 
.84986 

.70761 
.70764 
.70768 
.70771 

9.85101 
.85103 
.85105 
.85107 

.70959 
.70963 
.70966 
.70969 

52 
51 
50 
49 

+      3' 

13 
14 
15 

9.84620 
.84622 
.84624 
.84626 

.70177 
.70181 
.70184 
.70187 

9.84743 
.84745 
.84747 
.84749 

.70377 
.70380 
.70383 
.70387 

9.84866 
.84868 

■  .84870 
.84872 

.70576 
.70579 
.70582 
.70586 

9.84988 
.84990 
.84992 
.84994 

.70774 

.70778 
.70781 
.70784 

9.85109 
.85111 
.85113 
.85115 

.70973 
.70976 
.70979 
.70983 

48 
47 
46 
45 

44 
43 
42 
41 
40 
39 
38 
37 

+  4^ 
17 
18 
19 

9.84628 
.84630 
.84632 
.84634 

.70191 
.70194 
.70197 
.70201 

9.84751 
.84753 
.84755 
.84757 

.70390 
.70393 
.70397 
.70400 

9.84874 
.84876 
.84878 
,84880 

.70589 
.70592 
.70596 
.70599 

9.84996 
.84998 
.85000 
.85002 

.70788 
.70791 
.70794 
.70798 

9.85117 
.85119 
.85121 
.85123 

.70986 
.70989 
.70992 
.70996 

+   5^ 
21 

22 
23 

9.84636 
.84638 
.84640 
.84642 

.70304 
.70207 
.70211 
.70214 

9.84759 
.84761 
.84763 
.84765 

.70403 
.70407 
.70410 
.70413 

9.84882 
.84884 
.84886 
.84888 

.70602 
.70606 
.70609 
.70612 

9.85004 
.85006 
.85008 
.85010 

.70801 
.70804 
.70807 
.70811 

9.85125 
.85127 
.85129 
.85131 

.70999 
.71002 
.71006 
.71009 

+  6^ 

25 
26 

27 

9.84644 
.84646 
.84648 
.84651 

.70217 
.70221 
.70224 
.70227 

9.84767 
.84770 
.84772 
.84774 

.70417 
.70420 
.70423 
.70426 

9.84890 
.84892 
.84894 
.84896 

.70615 
.70619 
.70622 
.70625 

9.85012 
.85014 
.85016 
.85018 

.70814 
.70817 
.70821 
.70824 

9.85133 
.85135 
.85137 
.85139 

.71012 
.71016 
.71019 
.71022 

36 
35 
34 
S3 

+    r 

29 
30 
31 

9.84653 
.84655 
.84657 
.84659 

.70230 
.70234 
.70237 
.70240 

9.84776 
.84778 
.84780 
.84782 

.70430 
.70433 
.70436 
.70440 

9.84898 
.84900 
.84902 
.84904 

.70629 
.70632 
.70635 
.70639 

9.85020 
.85022 
.85024 
.85026 

.70827 
.70831 
.70834 
.70837 

9.85141 
.85143 
.85145 
.85147 

.71025 
.71029 
.71032 
.71035 

32 
31 
30 

29 

+  8^ 
33 
34 
35 

9.84661 
.84663 
.84665 
.84667 

.70244 
.70247 
.70250 
.70254 

9.84784 
.84786 
.84788 
.84790 

.70443 
.70446 
.70450 
.70453 

9.84906 
.84908 
.84910 
.84912 

.70642 
.70645 
.70649 
.70652 

9.85028 
.85030 
.85032 
.85034 

.70840 
.70844 
.70847 
.70850 

9.85149 
.85151 
.85153 
.85155 

.71039 
.71042 
.71045 
.71049 

28 
27 
26 
25 

+     9' 

37 
38 
39 

9.84669 
.84671 
.84673 
.84675 

.70257 
.70260 
.70264 
.70267 

9.84792 
.84794 
.84796 
.84798 

.70456 
.70460 
.70463 
.70466 

9.84914 
.84916 
.84919 
.84921 

.70655 
.70659 
.70662 
.70665 

9.85036 
.85038 
.85040 
.85042 

.70854 
.70857 
.70860 
.70864 

9.85158 
.85160 
.85162 
.85164 

.71052 
.71055 
.71058 
.71062 

24 

23 
22 

Ti 

+  W 

41 
42 
43 

9.84677 
.84679 
.84681 
.84683 

.70270 
.70274 
.70277 
.70280 

9.84800 
.84802 
.84804 
.84806 

.70470 
.70473 
.70476 
.70480 

9.84923 
.84925 
.84927 
.84929 

.70668 
.70672 
.70675 
.70678 

9.85044 
.85046 
.85048 
.85050 

.70867 
.70870 
.70874 
.70877 

9.85166 
.85168 
.85170 
.85172 

.71065 
.71068 
.71072 
.71075 

20 

19 
18 
17 

+  11^ 

45 
46 
47 

9.84685 
.84688 
.84690 
.84692 

.70284 
.70287 
.70290 
.70294 

9.84808 
.84810 
.84812 
.84815 

.70^83 
.70486 
.70490 
.70493 

9.84931 
.84933 
.84935 
.84937 

.70682 
.70685 
.70688 
.70692 

9.85052 
.85054 
.85057 
.85059 

.70880 

.70884 
.70887 
.70890 

9.85174 
.85176 
.85178 
.85180 

.71078 
.71082 
.71085 
.71088 

16 
15 
14 
13 

+  n' 

49 
50 
51 

9.84694 
.84696 
.84698 
.84700 

.70297 
.70300 
.70304 
.70307 

9.84817 
.84819 
.84821 
.84823 

.70496 
.70499 
.70503 
.70506 

9.84939 
.84941 
.84943 
.84945 

.70695 
.70698 
.70702 
.70705 

9.85061 
.85063 
.85065 
.85067 

.70893 
.70897 
.70900 
.70903 

9.85182 
.85184 
.85186 
.85188 

.71091 
.71095 
.71098 
.71101 

12 

11 

10 

9 

+  13^ 

53 
54 
55 

9.84702 
.84704 
.84706 
.84708 

.70310 
.70314 
.703W 
.70320 

9.84825 
.84827 
.84829 
.84831 

.70509 
.70513 
.70516 
.70519 

9.84947 
.84949 
.84951 
.84953 

.70708 
.70712 
.70715 
.70718 

9.85069 
.85071 
.85073 
.85075 

.70907 
.70910 
.70913 
.70916 

9.85190 
.85192 
.85,  94 
.85196 

.71105 
.71108 
.71111 
.71114 

8 
7 
6 
5 

+  lif 

57 
58 
59 

9.84710 
.84712 
.84714 
.84716 

.70324 
.70327 
.70330 
.70333 

9.84833 
.84835 
.84837 
.84839 

.70523 
.70526 
.70529 
.70533 

9.84955 
.84957 
.84959 
.84961 

.70721 
.70725 
.70729 
.70731 

9.85077 
.85079 
.85081 
.85083 

.70920 
.70923 
.70926 
.70930 

9.85198 
.85200 
.85202 
.85204 

.71118 
.71121 
.71124 
.71128 

4 
S 
2 
1 
0 

+  W 

9.84718 

.70337 

9.84841 

.70536 

9.84963 

.70735 

9.85085 

.70933 

9.85206 

.71131 

JffiA 

24m 

16h 23^ 

16^  22m 

16^ 

21m 

16^  20m 

Page  136]                  TABLE  IV. 

Haversines. 

s 

7h  40m  115°  0' 

7A  4im  115°  15/ 

7A  42m  115°  30' 

7h  43m  115°  45' 

7h  44m  116°  0' 

E 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

2 
S 

9.85206 
.85208 
.85210 
.85212 

.71131 
.71134 
.71138 
.71141 

9.85326 

.85328 
.85330 
.85332 

.71328 
.71332 
.71335 
.71338 

9.85446 

.85448 
.85450 
.85452 

.71526 
.71529 
.71532 
.71535 

9.85565 
.85567 
.85569 
.85571 

.71722 
.71726 
.71729 
.71732 

9.85684 
.85686 
.85688 
.85690 

.71919 
.71922 
.71925 
.71928 

60 
59 
58 
57 

+    r 

5 
6 

7 

9.85214 
.85216 
.85218 
.85220 

.71144 
.71147 
.71151 
.71154 

9.85334 
.85336 
.85338 
.85340 

.71342 
.71345 
.71348 
.71351 

9.85454 
.85456 
.85458 
.85460 

.71539 
.71542 
.71545 
.71549 

9.85573 

.85575 
.85577 
.85579 

.71735 
.71739 
.71742 
.71745 

9.85692 
.85694 
.85696 
.85698 

.71932 
.71935 
.71938 
.71941 

56 

55 
54 
53 

+   3' 

9 

10 

11 

9.85222 
.85224 
.85226 
.85228 

.71157 
.71161 
.71164 
.71167 

9.85342 
.85344 
.85346 
.85348 

.71355 
.71358 
.71361 
.71365 

9.85462 
.85464 
.85466 
.85468 

.71552 
.71555 
.71558 
.71562 

9.85581 
.85583 
.85585 
.85587 

.71748 
.71752 
.71755 
.71758 

9.85700 
.85702 
.85704 
.85706 

.71945 
.71948 
.71951 
.71955 

52 
51 
50 
49 

+   3' 

13 
14 
15 

9.85230 
.85232 
.85234 
.85236 

.71170 
.71174 
.71177 
.71180 

9.85350 
.85352 
.85354 
.85356 

.71368 
.71371 
.71374 
.71378 

9.85470 

.85472 
.85474 
.85476 

.71565 
.71568 
.71571 
.71575 

9.85589 
.85591 
.85593 
.85595 

.71762 
.71765 
.71768 
.71771 

9.85708 
.85710 
.85712 
.85714 

.71958 
.71961 
.71964 
.71968 

48 
47 
46 
45 

+   4^ 
17 
18 
19 

9.85238 
.85240 
.85242 
.85244 

.71184 
.71187 
.71190 
.71194 

9.85358 
.85360 
.85362 
.85364 

.71381 
.71384 

.71388 
.71391 

9.85478 
.85480 
.85482 
.85484 

.71578 
.71581 
.71585 

.71588 

9.85597 
.85599 
.85601 
.85603 

.71775 
.71778 
.71781 
.71784 

9.85716 
.85718 
.85720 
.85722 

.71971 
.71974 
.71977 
.71981 

44 
43 
42 
41 

+     5' 
21 

22 
23 

9.85246 
.85248 
.85250 
.85252 

.71197 
.71200 
.71203 
.71207 

9.85366 
.85368 
.85370 
.85372 

.71394 
.71397 
.71401 
.71404 

9.85486 
.85488 
.85490 
.85492 

.71591 
.71594 
.71598 
.71601 

9.85605 
.85607 
.85609 
.85611 

.71788 
.71791 
.71794 
.71798 

9.85724 
.85726 
.85727 
.85729 

.71984 
.71987 
.71990 
.71994 

40 
39 
38 
37 

+   6' 

25 
26 
27 

9.85254 
.85256 
.85258 
.85260 

.71210 
.71213 
.71217 
.71220 

9.85374 
.85376 
.85378 
.85380 

.71407 
.71411 
.71414 
.71417 

9.85494 
.85496 
.85498 
.85500 

.71604 
.71608 
.71611 
.71614 

9.85613 
.85615 
.85617 
.85619 

.71801 
.71804 
.71807 
.71811 

9.85731 
.85733 
.85735 
.85737 

.71997 
.72000 
.72003 
.72007 

36 
35 
34 
33 

+    r 

29 
SO 
SI 

9.85262 
.85264 
.85266 
.85268 

.71223 
.71226 
.71230 
.71233 

9.85382 
.85384 
.85386 
.85388 

.71420 
.71424 
.71427 
.71430 

9.85502 
.85504 
.85506 
.85508 

.71617 
.71621 
.71624 
.71627 

9.85621 
.85623 
.85625 
.85627 

.71814 
.71817 
.71820 
.71824 

9.85739 
.85741 
.85743 
.85745 

.72010 
.72013 
.72017 
.72020 

32 
31 
30 
29 

+      S' 
S3 
34 
35 

9.85270 

.85272 
.85274 
.85276 

.71236 
.71240 
.71243 
.71246 

9.85390 
.85392 
.85394 
.85396 

.71434 
.71437 
.71440 
.71443 

9.85510 
.85512 
.85514 
.85516 

.71631 
.71634 
.71637 
.71640 

9.85629 
.85631 
.85633 
.85635 

.71827 
.71830 
.71834 
.71837 

9.85747 
.85749 
.85751 
.85753 

.72023 
.72026 
.72030 
.72033 

28 

27 
26 

25 

+   9' 

37 
S8 
39 

9.85278 
.85280 
.85282 
.85284 

.71249 
.71253 
.71256 
.71259 

9.85398 
.85400 
.85402 
.85404 

.71447 
.71450 
.71453 
.71456 

9.85518 
.85520 
.85522 
.85524 

.71644 
.71647 
.71650 
.71653 

9.85637 
.85639 
.85641 
.85643 

.71840 
.71843 
.71847 
.71850 

9.85755 
.85757 
.85759 
.85761 

.72036 
.72039 
.72043 
.72046 

24 
23 
22 
21 

+  10' 

41 
42 
43 

9.85286 
.85288 
.85290 
.85292 

.71263 
.71266 
.71269 
.71273 

9.85406 
.85408 
.85410 
.85412 

.71460 
.71463 
.71466 
.71470 

9.85526 
.85528 
.85530 
.85532 

.71657 
.71660 
.71663 
.71667 

9.85645 
.85647 
.85649 
.85651 

.71853 
.71856 
.71860 
.71863 

9.85763 
.85765 
.85767 
.85769 

.72049 
.72052 
.72056 
.72059 

20 
19 
18 
17 

+  ir 

45 
46 
47 

9.85294 
.85296 
.85298 
.85300 

.71276 
.71279 
.71282 
.71286 

9.85414 
.85416 
.85418 
.85420 

.71473 
.71476 
.71480 
.71483 

9.85534 
.85536 
.85538 
.85540 

.71670 
.71673 
.71676 
.71680 

9.85653 
.85654 
.85656 
.85658 

.71866 
.71870 
.71873 
.71876 

9.85771 

.85773 

.85775 
.85777 

.72062 
.72066 
.72069 
.72072 

16 

15 

14 

13 

12 

11 

10 

9 

8 

7 

6 

5 

+  n' 

49 
50 
51 

9.85302 
.85304 
.85306 
.85308 

.71289 
.71292 
.71296 
.71299 

9.85422 
.85424 
.85426 
.85428 

.71486 
.71489 
.71493 
.71496 

9.85542 

.85544 
.85546 
.85548 

.71683 
.71686 
.71690 
.71693 

9.85660 
.85662 
.85664 
.85666 

.71879 

.71883 
.71886 
.71889 

9.85779 
.85781 
.85783 

.85785 

.72075 
.72079 
.72082 
.72085 

+  13' 

53 
54 
55 

9.85310 
.85312 
.85314 
.85316 

.71302 
.71305 
.71309 
.71312 

9.85430 
.85432 
.85434 
.85436 

.71499 
.71503 
.71506 
.71509 

9.85550 
.85552 
.85554 
.85555 

.71696 
.71699 
.71703 
.71706 

9.85668 
.85670 
.85672 
.85674 

.71892 
.71896 
.71899 
.71902 

9.85787 
.85788 
.85790 
.85792 

.72088 
.72092 
.72095 
.72098 

+  ir 

67 
58 
59 

9.85318 
.85320 
.85322 
.85324 

.71315 
.71319 
.71322 
.71325 

9.85438 
.85440 
.85442 
.85444 

.71512 
.71516 
.71519 
.71522 

9.85557 
.85559 
.85561 
.85563 

.71709 
.71712 
.71716 
.71719 

9.85676 
.85678 
.85680 
.85682 

.71905 
.71909 
.71912 
.71915 

9.85794 
.85796 
.85798 
.85800 

.72101 
.72105 
.72108 
.72111 

4 
3 
2 
1 

+  15' 

9.85326 

.71328 

9.85446 

.71526 

9.85565 

.71722 

9.85684 

.71919 

9.85802 

.72114 

0 

16^ 19m 

len  18m 

16h  nm, 

16h  16m         1 

16h  15m         1 

TABLP]  IV. 

Haversinea. 

[Page  137 

B 
S 

7A  45m  116°  15' 

7A  46™  116°  30'  1 

7ft  AT^  116°  45' 

inj^sm 

117°©' 

7h  49m  117°  15'  1 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  nav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 
2 
3 

9.85802 
.85804 
.85806 
.85808 

.73114 
.72118 
.72121 
.73124 

9.85920 
.85922 
.85924 
.85926 

.73310 
.73313 
.73316 
.72320 

9.86037 
.86039 
.86041 
.86043 

.72505 
.72508 
.72511 
.72515 

9.86153 
.86155 
.86157 
.86159 

.73700 
.73703 
.73706 
.73709 

9.86269 
.86271 
.86273 
.86275 

.73894 

.73897 
.73900 
.72903 

60 
59 
58 
57 

+  r 

5 
6 

7 

9.85810 
.85812 
.85814 
.85816 

.72127 
.73131 
.73134 
.73137 

9.85928 
.85930 
.85931 
.85933 

.72323 
.73326 
.73329 
.72333 

9.86045 
.86046 
.86048 
.86050 

.72518 
.72521 
.72524 

.72528 

9.86161 
.86163 
.86165 
.86167 

.73712 
.72716 
.72719 
.72722 

9.86277 
.86279 
.86281 
.86282 

.72907 
.72910 
.72913 
.72916 

56 
55 
54 
53 

+   3' 

9 

10 

11 

9.85818 
.85820 
.85822 
.85824 

.72141 
.73144 
.73147 
.73150 

9.85935 
.85937 
.85939 
.85941 

.72336 
.73339 
.73342 
.72346 

9.86052 
.86054 
.86056 
.86058 

.72531 
.72534 
.73537 
.73541 

9.86169 
.86171 
.86173 
.86174 

.72735 
.73739 
.73733 
.73735 

9.86284 
.86286 
.86288 
.86290 

.73920 
.72923 
.72926 
.72929 

52 
51 
50 
49 

+   3- 

13 
14 
15 

9.85826 
.85828 
.85830 
.85832 

.73154 
.73157 
.73160 
.73163 

9.85943 
.85945 
.85947 
.85949 

.72349 
.72352 
.72355 
.72359 

9.86060 
.86062 
.86064 
.86066 

.73544 
.73547 
.73550 
.73554 

9.86176 
.86178 
.86180 

.86182 

.73738 
.72742 
.72745 

.72748 

9.86292 
.86294 
.86296 
.86298 

.72932 
.73936 
.73939 
.73943 

48 
47 
46 
45 

+   4^ 
17 
18 
19 

9.85834 
.85836 
.85838 
.85840 

.73167 
.73170 
.73173 
.73176 

9.85951 
.85953 
.85955 
.85957 

.72362 
.72365 
.73368 
.73373 

9.86068 
.86070 
.86072 
.86074 

.73557 
.73560 
.73563 
.735G7 

9.86184 
.86186 
.86188 
.86190 

.72751 
.72755 

.73758 
.73761 

9.86300 
.86302 
.86304 
.86306 

.73945 
.73949 
.73953 
.73955 

44 
43 

42 
41 

+   5^ 
23 

9.85841 
.85843 
.85845 
.85847 

.73180 
.73183 
.72186 
.73189 

9.85959 
.85961 
.85963 
.85965 

.73375 
.73378 
.72381 
.72385 

9.86076 
.86078 
.86080 
.86081 

.73570 
.73573 
.73576 
.73580 

9.86192 
.86194 
.86196 
.86198 

.73764 
.72768 
.72771 
.72774 

9.86307 
.86309 
.86311 
.86313 

.73958 
.73963 
.73965 
.73968 

40 
39 
38 
37 

+   6^ 

25 
26 

27 

9.85849 
.85851 
.85853 

.85855 

.72193 
.72196 
.72199 
.72202 

9.85967 
.85969 
.85971 

.85972 

.72388 
.72391 
.72394 
.72398 

9.86083 
.86085 
.86087 
.86089 

.73583 
.73586 
.72589 
.73593 

9.86200 
.86201 
.86203 
.86205 

.72777 
.72780 

.72784 
.73787 

9.86315 
.86317 
.86319 
.86321 

.72971 
.72974 
.73978 
.73981 

36 
35 
34 
33 

+    r 

29 
30 
31 

9.85857 
.85859 
.85861 
.85863 

.72206 
.72209 
.72213 
.73315 

9.85974 
.85976 
.85978 
.85980 

.72401 
.72404 
.72407 
.72411 

9.86091 
.86093 
.86095 
.86097 

.72596 
.72599 
.72603 
.73606 

9.86207 
.86209 
.86211 
.86213 

.73790 
.73793 
.73797 
.73800 

9.86323 
.86325 
.86327 
.86329 

.73984 
.73987 
.73991 
.73994 

32 
31 
30 
29 

+     8' 
S3 
34 
35 

9.85865 
.85867 
.85869 
.85871 

.73219 
.72222 
.73335 
.73339 

9.85982 
.85984 
.85986 
.85988 

.72414 
.72417 
.72420 
.72424 

9.86099 
.86101 
.86103 
.86105 

.73609 
.73613 
.73615 

.73618 

9.86215 
.86217 
.86219 
.86221 

.73803 
.73806 
.73810 
.73813 

9.86331 
.86332 
.86334 
.86336 

.72997 
.73000 
.73004 
.73007 

28 
27 
26 
25 

24 
23 
22 
21 
20 
19 
IS 
17 
16 
15 
14 
13 

+      r 

37 
38 
39 

9.85873 
.85875 
.85877 
.85879 

.73333 
.73335 
.73338 
.73243 

9.85990 
.85992 
.85994 
.85996 

.72427 
.73430 
.73433 
.73437 

9.86107 
.86109 
.86111 
.86112 

.73633 
.73635 
.73628 
.73631 

9.86223 
.86225 

.86227 
.86229 

.73816 
.73819 
.73833 
.73836 

9.86338 
.86340 
.86342 
.86344 

.73010 
.73013 
.73016 
.73020 

+    1(K 

41  ■ 

42 

43 

9.85881 
.85883 
.85885 
.85887 

.72245 

.72248 
.72251 

.72355 

9.85998 
.86000 
.86002 
.86004 

.73440 
.73443 
.72446 
.73450 

9.86114 
.86116 
.86118 
.86120 

.73635 
.73638 
.73641 
.73644 

9.86230 
.86232 
.86234 
.86236 

.73839 

.73833 
.73835 
.73839 

9.86346 
.86348 
.86350 
.86352 

.73023 
.73026 
.73029 
73033 

+  11' 

46 
47 

9.85888 
.85890 
.85892 
.85894 

.72358 
.73361 
.72264 
.72268 

9.8G006 
.86008 
.86010 
.86011 

.73453 
.73456 
.73459 
.72463 

9.86122 
.86124 
.86126 
.86128 

.73648 
.72651 
.72654 
.72657 

9.86238 
.86240 
.86242 
.86244 

.73843 
.73845 
.73848 
.73853 

9.86354 
.86355 
.86357 
.86359 

.73036 
.73039 
.73042 
.73046 

+  ir 

50 
51 

9.85896 
.85898 
.85900 
.85902 

.72271 
.73374 

.73277 
.72381 

9.86013 
.86015 
.86017 
.86019 

.72466 
.72469 
.72473 
72476 

9.86130 
.86132 
.86134 
.86136 

.73661 
.73664 
.73667 
.72670 

9.86246 
.86248 
.86250 
.86252 

.73855 
.73858 
.73861 
.73865 

9.86361 
.86363 
.86365 
.86367 

.73049 
.73052 
.73055 
.73058 

12 

11 

10 

9 

+  13^ 

54 
55 

9.85904 
.85906 
.85908 
.85910 

.72384 
.72287 
.72290 
.72394 

9.86021 
.86023 
.86025 
.86027 

.72479 

.72482 
.72485 
.72489 

9.86138 
.86140 
.86142 
.86143 

.72674 
.72677 
.73680 
.73683 

9.86254 
.86256 
.86257 
.86259 

.73868 

.73871 
.73874 
.73878 

9.86369 
.86371 
.86373 
.86375 

.73062 
.73065 
.73068 
.73071 

8 
7 
6 
5 

+  14' 

57 
58 
59 

9.85912 
.85914 
.85916 
.85918 

.73397 
.73300 
.73303 
72307 

9.86029 
.86031 
.86033 
.86035 

.73492 
.72495 
.72498 
.72502 

9.86145 
.86147 
.86149 
.86151 

.73687 
.73690 
.73693 
.73696 

9.86261 
.86263 
.86265 
.86267 

.73881 
.72884 
.72887 
.72890 

9.86377 
.86379 
.86380 
.86382 

.73076 
.73078 
.73081 
.73084 

4 
3 

2 

i 

+  15' 

9.85920 

.72310 

9.86037 

.72505 

9.86153 

.73700 

9.86269 

.72894 

9.86384 

.73087 

0 

16h 

14m 

16h  urn 

16^ 

12m 

16^ 

Jim 

lehiom 

Page  138]                  TABLE  lY. 

Havereines. 

£ 

7h  sm  117°  W   1 

7A  5m  117°  45' 

7*  5m  118°  (K 

7ft  5Sm  118°  15' 

7A  54^  118°  30' 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav 

.Nat.  Hav 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 
1 

S 

9.86384 
.86386 
.86388 
.86390 

.73087 
.73091 
.73094 
.73097 

9.86499 
.86501 
.86503 
.86505 

.73281 
.73284 
.73287 
.73290 

9.86613 
.86615 
.86617 
.86619 

.73474 
.73477 
.73480 
73483 

9.86727 
.86729 
.86730 
.86732 

.73666 
.73669 
.73673 
.73676 

9.86840 

.86842 
.86843 
.86845 

.73858 
.73861 
.73864 
.73868 

60 
59 
58 
57 
56 
55 
54 
53 

6 
6 

7 

9.86392 
.86394 
.86396 
.86398 

.73100 
.73104 
.73107 
.73110 

9.86507 
.86509 
.86510 
.86512 

.73294 
.73297 
.73300 
.73303 

9.86621 
.86623 
.86625 
.86626 

.73486 
.73490 
.73493 
.73496 

9.86734 
.86736 
.86738 
.86740 

.73679 
.73682 
.73685 
.73688 

9.86847 
.86849 
.86851 
.86853 

.73871 
.73874 
.73877 

.73880 

+  ^ 

9 

10 

11 

9.86400 
.86401 
.86403 
.86405 

.73113 
.73116 
.73130 
.73123 

9.86514 
.86516 
.86518 
.86520 

.73306 
.73310 
.73313 
.73316 

9.86628 
.86630 
.86632 
.86654 

.73499 
.73502 
.73506 
.73509 

9.86742 
.86744 
.86746 
.86747 

.73692 
.73695 
.73698 
.73701 

9.86855 
.86857 
.86859 
.86860 

.73884 
.73887 
.73890 
.73893 

52 
51 
50 
49 

+  3' 

IS 
14 
15 

9.86407 
.86409 
.86411 
.86413 

.73126 
.73129 
.73133 
.73136 

9.86522 
.86524 
.86526 
.86528 

.73319 
.73333 
.73336 
.73329 

9.86636 
.86638 
.86640 
.86642 

.73512 
.73515 
.73519 
.73522 

9.86749 
.86751 
.86753 
.86755 

.73704 
.73708 
.73711 
.73714 

9.86862 
.86864 
.86866 
.86868 

.73896 
.73899 
.73903 
.73906 

48 
47 
46 

45 

U 
43 
42 
41 

+  4' 
17 
18 
19 

9.86415 
.86417 
.86419 
.86421 

.73139 
.73142 
.73145 
.73149 

9.86529 
.86531 
.86533 
.86535 

.73332 
.73335 
.73339 
.73342 

9.86643 
.86645 
.86647 
.86649 

.73525 
.73528 
.73531 
.73535 

9.86757 
.86759 
.86761 
.86763 

.73717 
.73720 
.73734 
.73737 

9.86870 
.86872 
.86874 
.86875 

.73909 
.73912 
.73915 
.73919 

+  ^ 
21 
22 
23 

9.86423 
.86424 
.86426 
.86428 

.73152 
.73155 
.73158 
.73162 

9.86537 
.86539 
.86541 
.86543 

.73345 
.73348 
.73351 
.73355 

9.86651 
.86653 
.86655 
.86657 

.73538 
.73541 
.73544 
.73547 

9.86764 
.86766 
.86768 
.86770 

.73730 
.73733 
.73736 
.73740 

9.86877 
.86879 
.86881 
.86883 

.73933 
.73935 
.73938 
.73931 

40 
39 
38 
37 
36 
35 
34 
33 

+  6' 

25 
26 
27 

9.86430 
.86432 
.86434 
.86436 

.73165 
.73168 
.73171 
.73174 

9.86545 
.86547 
.86569 
.86550 

.73358 
.73361 
.73364 
.73368 

9.86659 
.86661 
.86662 
.86664 

.73551 
.73554 
.73557 
.73560 

9.86772 
.86774 
.86776 
.86778 

.73743 
.73746 
.73749 
.73752 

9.86885 
.86887 
.86889 
.86890 

.73935 
.73938 
.73941 
.73944 

+    r 

29 
SO 
SI 

9.86438 
.86440 
.86442 
.86444 

.73178 
.73181 
.73184 
.73187 

9.86552 
.86554 
.86556 
.86558 

.73371 
.73374 
.73377 
.73380 

9.86666 
.86668 
.86670 
.86672 

.73563 
.73567 
.73570 
.73573 

9.86780 
.86781 
.86783 
.86785 

.73756 
.73759 
73763 
.73765 

9.86892 
.86894 
.86896 
.86898 

.73947 
.73951 
.73954 
.73957 

32 
31 
30 
29 

H-  8' 
33 
34 
35 

9.86446 
.86447 
.86449 
.86451 

.73191 
.73194 
.73197 
.73200 

9.86560 
.86562 
.86564 
.86566 

.73384 
.73387 
.73390 
.73393 

9.86674 
.86676 
.86678 
.86679 

.73576 
.73579 
.73583 
.73586 

9.86787 
.86789 
.86791 
.86793 

.73768 
.73773 
.73775 
.73778 

9.86900 
.86902 
.86904 
.86905 

.73960 
.73963 
.73967 
.73970 

28 
27 
26 
25 

24 
23 
22 
21 
20 
19 
18 
17 

+  ^ 

37 
38 
39 

9.86453 
.86455 
.86457 
.86459 

.73303 
.73207 
.73310 
.73313 

9.86568 
.86569 
.86571 
.86573 

.73396 
.73400 
.73403 
.73406 

9.86681 
.86683 
.86685 
.86687 

.73589 
.73593 
.73595 
.73599 

9.86795 
.86796 
.86798 
.86800 

.73781 
.73784 

.73788 
.73791 

9.86907 
.86909 
.86911 
.86913 

.73973 
.73976 
.73979 
.73982 

+  W 

41 
42 

43 

9.86461 
.86463 
.86465 
.86467 

.73216 
.73230 
.73333 
.73336 

9.86575 
.86577 
.86579 
.86581 

.73409 
.73413 
.73416 
.73419 

9.86689 
.86691 
.86693 
.86695 

.73602 
.73605 
.73608 
.73611 

9.86802 
.86804 
.86806 
.86808 

.73794 
.73797 
.73800 
.73804 

9.86915 
.86917 
.86919 
.86920 

.73986 
.73989 
.73992 
.73995 

4S 
46 

47 

9.86468 
.86470 
.86472 
.86474 

.73229 
.73232 
.73236 
.73239 

9.86583 
.86585 
.86587 
.86588 

.73423 
.73435 
.73439 
.73433 

9.86696 
.86698 
.86700 
.86702 

.73615 
.73618 
.73621 
.73624 

9.86810 
.86812 
.86813 
.86815 

.73807 
.73810 
.73813 
.73816 

9.86922 
.86924 
.86926 
.86928 

.73998 
.74002 
.74005 
.74008 

16 

15 

14 

13 

12 

11 

10 

9 

8 

7 

6 

5 

4 
S 

2 

1 

+  13' 

49 
50 
51 

9.86476 
.86478 
.86480 
.86482 

.73242 
.73245 
.73249 
.73252 

9.86590 
.86592 
.86594 
.86596 

.73435 
.73438 
.73441 
.73445 

9.86704 
.86706 
.86708 
.86710 

.73628 
.73631 
.73634 
.73637 

9.86817 
.86819 
.86821 
.86823 

.73820 
.73823 
.73826 
.73829 

9.86930 
.86932 
.86933 
.86935 

.74011 
.74014 
.74018 
.74031 
.74034 
.74037 
.74030 
.74033 

5S 
54 
55 

9.86484 
.86486 
.86488 
.86489 

.73256 
.73258 
.73261 
.73265 

9.86598 
.86600 
.86602 
.86604 

.73448 
.73451 
.73454 
.73458 

9.86712 
.86713 
.86715 
.86717 

.73640 
.73644 
.73647 
.73650 

9.86825 
.86827 
.86828 
.86830 

.73832 
.73836 
.73839 
.73842 

9.86937 
.86939 
.86941 
.86943 

57 
59 

9.86491 
.86493 
.86495 
.86497 

.73268 
.73271 
.73274 
.73278 

9.86606 
.86607 
.86609 
.86611 

.73461 
.73464 
.73467 
.73470 

9.86719 
.86721 
.86723 
.86725 

.73653 
.73656 
.73660 
.73663 

9.86832 
.86834 
.86836 
.86838 

.73845 

.73848 
.73852 
.73855 

9.86945 
.86947 
.86948 
.86950 

.74037 
.74040 
.74043 
.74046 

+  W 

9.86499 

.73281 

9.86613 

.73474 

9.86727 

.73666 

9.86840 

.73858 

9.86952 

.74049 

0 

ifiApm 

lehgm 

16^  Tm 

ifi/igTn 

26ft  5'" 

TABLE  ly.                  [Page  139 
Haversines. 

s 

7h  55m  118°  45' 

7^56^119°©'  1 

7h  57m  1190  15/ 

7h  58m  1190  30^  | 

7h  59m  119°  45'  1 

Log.  nav. 

Nat.  nav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

s 

0 
1 

2 
3 

9.86952 
.86954 
.86956 
.86958 

.74049 
.74063 
.74056 
.74059 

9.87064 
.87066 
.87068 
.87070 

.74340 
.74344 
.74247 
.74350 

9.87175 
.87177 
.87179 
.87181 

.74431 
.74434 
.74437 
.74441 

9.87286 
.87288 
.87290 

.87292 

.74621 
.74624 
.74628 
.74631 

9.87396 
.87398 
.87400 
.87402 

.74811 
.74814 
.74817 
.74820 

60 
59 
58 
57 

+    r 

5 
6 
7 

9.86960 
.86962 
.86963 
.86965 

.74063 
.74065 
.74069 
.74073 

9.87072 
.87073 
.87075 
.87077 

.74353 
.74356 
.74260 
.74263 

9.87183 
.87185 
.87187 
.87188 

.74444 
.74447 
.74450 
.74453 

9.87294 
.87295 
.87297 
.87299 

.74634 
.74637 
.74640 
.74643 

9.87404 
.87406 
.87407 
.87409 

.74823 

.74827 
.74830 
.74833 

56 
55 
54 
53 

+      V 

9 
10 
11 

9.86967 
.86989 
.86971 
.86973 

.74075 
.74078 
.74081 
.74084 

9.87079 
.87081 
.87083 
.87085 

.74366 
.74269 
.74373 
.74375 

9.87190 
.87192 
.87194 
.87196 

.74456 
.74460 
.74463 
.74466 

9.87301 
.87303 
.87305 
.87306 

.74646 
.74650 
.74653 
.74656 

9.87411 
.87413 
.87415 
.87417 

.74836 
.74839 
.74843 
.74846 

52 
51 
50 
49 

+      3' 

13 
14 
15 

9.86975 
.86977 
.86978 
.86980 

.74088 
.74091 
.74094 
.74097 

9.87086 
.87088 
.87090 
.87092 

.74379 

.74282 
.74285 
.74288 

9.87198 
.87199 
.87201 
.87203 

.74469 
.74473 
.74475 
.74479 

9.87308 
.87310 
.87312 
.87314 

.74659 
.74662 
.74665 
.74669 

9.87418 
.87420 
.87422 
.87424 

.74849 
.74852 

.74855 
.74858 

48 
47 
46 
45 

44 
43 

42 
41 

+      *' 
17 
18 
19 

9.86982 
.86984 
.86986 
.86988 

.74100 
.74104 
.74107 
.74110 

9.87094 
.87096 
.87098 
.87100 

.74291 
.74294 
.74298 
.74301 

9.87205 
.87207 
.87209 
.87211 

.74483 
.74485 

.74488 
.74491 

9.87316 
.87318 
.87319 
.87321 

.74672 
.74675 
.74678 
.74681 

9.87426 
.87428 
.87429 
.87431 

.74861 
.74864 

.74868 

74871 

+      5^ 
21 
22 
23 

9.86990 
.86991 
.&e993 

.74113 
.74116 
.74130 
.74133 

9.87101 
.87103 
.87105 
.87107 

.74304 
.74307 
.74310 
.74314 

9.87212 
.87214 
.87216 
.87218 

.74494 
.74498 
.74501 
.74504 

9.87323 
.87325 
.87327 
.87329 

.74684 

.74688 
.74691 
.74694 

9.87433 
.87435 
.87437 
.87439 

.74874 
.74877 
.74880 
.74883 

40 
39 
38 
37 

+   6' 

25 

26 
21 

9.86997 
.86999 
.87001 
.87003 

.74136 
.74139 
.74133 
.74135 

9.87109 
.87111 
.87112 
.87114 

.74317 
.74320 
.74323 
.74326 

9.87220 
.87222 
.87224 
.87225 

.74507 
.74510 
.74514 
.74517 

9.87330 
.87332 
.87334 
.87336 

.74697 
.74700 
.74703 
.74707 

9.87440 
.87442 
.87444 
.87446 

.74887 
.74890 
.74893 
.74896 

36 
35 
34 
33 
32 
31 
30 
29 

+    r 

29 
30 
31 

9.87004 
.87006 
.87008 
.87010 

.74139 
.74143 
.74145 
.74148 

9.87116 
.87118 
.87120 
.87122 

.74329 
.74333 
.74336 
.74339 

9.87227 
.87229 
.87231 
.87233 

.74530 
.74533 
.74536 
.74539 

9.87338 
.87340 
.87341 
.87343 

.74710 
.74713 
.74716 
.74719 

9.87448 
.87450 
.87451 
.87453 

.74899 
.74903 
.74905 
.74908 

+   8' 
33 
34 
35 

9.87012 
.87014 
.87016 
.87018 

.74151 
.74155 
.74158 
.74161 

9.87124 
.87125 
.87127 
.87129 

.74342 
.74345 
.74349 
.74352 

9.87235 
.87236 
.87238 
.87240 

.74533 
.74536 
.74539 
.74543 

9.87345 
.87347 
.87349 
.87351 

.74722 
.74726 
.74729 
.74732 

9.87455 
.87457 
.87459 
.87460 

.74913 
.74915 
.74918 
.74931 

28 
27 
26 
25 

+   9^ 

37 
38 
39 

9.87019 
.87021 
.87023 
.87025 

.74164 
.74167 
.74170 
.74174 

9.87131 
.87133 
.87135 
.87137 

.74355 
.74358 
.74361 
.74364 

9.87242 
.87244 
.87246 
.87248 

.74545 
.74548 
.74553 
.74555 

9.87352 
.87354 
.87356 
.87358 

.74735 
.74738 
.74741 
.74744 

9.87462 
.87464 
.87466 
.87468 

.74924 
.74928 
.74931 
.74934 

24 

23 
22 
21 

+  w 

41 
42 
43 

9.87027 
.87029 
.87031 
.87032 

.74177 
.74180 
.74183 
.74186 

9.87138 
.87140 
.87142 
.87144 

.74368 
.74371 
.74374 
.74377 

9.87249 
.87251 
.87253 
.87255 

.74558 
.74561 
.74564 
.74567 

9.87360 
.87362 
.87363 
.87365 

.74748 
.74751 
.74754 
.74757 

9.87470 
.87471 
.87473 
.87475 

.74937 
.74940 
.74943 
.74946 

20 
19 
18 
17 

+    11' 

45 
46 
47 

9.87034 
.87036 
.87038 
.87040 

.74190 
.74193 
.74196 
.74199 

9.87146 
.87148 
.87149 
.87151 

.74380 
.74383 
.74387 
.74390 

9.87257 
.87259 
.87260 
.87262 

.74571 
.74574 
.74577 
.74580 

9.87367 
.87369 
.87371 
.87373 

.74760 
.74763 
.74767 
.74770 

9.87477 
.87479 
.87481 
.87482 

.74950 
.74953 
.74956 
.74959 

16 
15 
14 
13 

+    IV 

49 
50 
51 

9.87042 
.87044 
.87045 
.87047 

.74203 
.74305 
.74309 
.74213 

9.87153 
.87155 
.87157 
.87159 

.74393 
.74396 
.74399 
.74402 

9.87264 
.87266 
.87268 
.87270 

.74583 
.74586 
.74590 
.74593 

9.87374 
.87376 
.87378 
.87380 

.74773 
.74776 
.74779 

.74782 

9.87484 
.87486 
.87488 
.87490 

.74962 
.74965 
.74969 
.74972 

12 

11 

10 

9 

+  13^ 

53 
54 
55 

9.87049 
.87051 
.87053 
.87055 

.74315 
.74318 
.74231 
.74335 

9.87161 
.87162 
.87164 
.87166 

.74406 
.74409 
.74412 
.74415 

9.87271 
.87273 
.87275 
.87277 

.74596 
.74599 
.74603 
.74605 

9.87382 
.87384 
.87385 
.87387 

.74786 
.74789 
.74792 
.74795 

9.87492 
.87493 
.87495 
.87497 

.74975 
.74978 
.74981 
.74984 

8 
7 
6 
5 

+  W 

57 
58 
59 

9.87057 
.87059 
.87060 
.87062 

.74328 
.74331 
.74334 
.74337 

9.87168 
.87170 
.87172 
.87174 

.74418 
.74423 
.74435 
.74438 

9.87279 
.87281 
.87283 
.87284 

.74609 
.74612 
.74615 
.74618 

9.87389 
.87391 
.87393 
.87395 

.74798 
.74801 
.74805 

.74808 

9.87499 
.87501 
.87502 
.87504 

.74987 
.74991 
.74994 
.74997 

4 
S 

2 

1 

+  W 

9.87064 

.74340 

9.87175 

.74431 

9.87286 

.74621 

9.87396 

.74811 

9.87506 

.75000 

0 

16h4m 

iShsm 

16h  2m          1    ig/i  im 

16^0^ 

Page  140]                  TABLE  IV.                         | 

Haversines.                               1 

s     : 

8h  Om  120°  r 

8h  2-m  120°  30^ 

8h  4m  121°  r 

8h  6m  121°  30' 

5ft  5m  133°  O'  1 

3 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0      0 

9.87506 

0.75000 

9.87724 

0.75377 

9.87939 

0.75752 

9.88153 

0.76125 

9.88364 

0.76496 

60 

2 

.87510 

.75006 

.87727 

.75383 

.87943 

.75758 

.88156 

.76131 

.88367 

.76502 

58 

4+  1 

.87513 

.75013 

.87731 

.75389 

.87947 

.75764 

.88160 

.76137 

.88371 

.76508 

56 

6 

.87517 

.75019 

.87735 

.75396 

.87950 

.75771 

.88163 

.76144 

.88374 

.76514 

54 

5+  2 

9.87521 

0.75025 

9.87738 

0.75402 

9.87954 

0.75777 

9.88167 

0.76150 

9.88378 

0.76521 

52 

10 

.87524 

.75032 

.87742 

.75408 

.87957 

.75783 

.88170 

.76156 

.88381 

.76527 

50 

12+   3 

.87528 

.75038 

.87745 

.75415 

.87961 

.75789 

.88174 

.76162 

.88385 

.76533 

48 

14 

.87532 

.75044 

.87749 

.75421 

.87964 

.75795 

.88177 

.76168 

.88388 

.76539 

46 

16+   4 

9.87535 

0.75050 

9.87753 

0.75427 

9.87968 

0.75802 

9.88181 

0.76175 

9.88392 

0.76545 

44 

18 

.87539 

.75057 

.87756 

.75433 

.87971 

.75808 

.88185 

.76181 

.88395 

.76551 

42 

20+   6 

.87543 

.75063 

.87760 

.75440 

.87975 

.75814 

.88188 

.76187 

.88399 

.76558 

40 

£^ 

.87546 

.75069 

.87764 

.75446 

.87979 

.75820 

.88192 

.76193 

.88402 

.76564 

38 

24+   6 

9.87550 

0.75075 

9.87767 

0.75452 

9.87982 

0.75827 

9.88195 

0.76199 

9.88406 

0.76570 

36 

;g6 

.87553 

.75082 

.87771 

.75458 

.87986 

.75833 

.88199 

.76205 

.88409 

.76576 

34 

;?5+  7 

.87557 

.75088 

.87774 

.75465 

.87989 

.75839 

.88202 

.76313 

.88413 

.76583 

32 

SO 

.87561 

.75094 

.87778 

.75471 

.87993 

.75845 

.88206 

.76318 

.88416 

.76588 

30 

32+   8 

9.87564 

0.75101 

9.87782 

0.75477 

9.87996 

0.75853 

9.88209 

0.76224 

9.88420 

0.76595 

28 

.54 

.87568 

.75107 

.87785 

.75483 

.88000 

.75858 

.88213 

.76230 

.88423 

.76601 

26 

.3(5+  9 

.87572 

.75113 

.87789 

.75490 

.88004 

.75864 

.88216 

.76236 

.88427 

.76607 

24 

.55 

.87575 

.75120 

.87792 

.75496 

.88007 

.75870 

.88220 

.76243 

.88430 

.76613 

22 

40+10 

9.87579 

0.75126 

9.87796 

0.75502 

9.88011 

0.75876 

9.88223 

0.76249 

9.88434 

0.76619 

20 

42 

.87583 

.75132 

.87800 

.75508 

.88014 

.75883 

.88227 

.76255 

.88437 

.76625 

18 

u+n 

.87586 

.75138 

.87803 

.75515 

.88018 

.75889 

.88230 

.76261 

.88441 

.76632 

16 

46 

.87590 

.75145 

.87807 

.75521 

.88021 

.75895 

.88234 

.76267 

.88444 

.76638 

14 

48+1% 

9.87593 

0.75151 

9.87810 

0.75527 

9.88025 

0.75901 

9.88237 

0.76274 

9.88448 

0.76644 

12 

50 

.87597 

.75157 

.87814 

.75533 

.88029 

.75908 

.88241 

.76280 

.88451 

.76650 

10 

52+n 

.87601 

.75164 

.87818 

.75540 

.88032 

.75914 

.88244 

.76286 

.88455 

.76656 

8 

54 

.87604 

.75170 

.87821 

.75546 

.88036 

.75920 

.88248 

.76292 

.88458 

.76662 

6 

56+U 

9.87608 

0.75176 

9.87825 

0.75552 

9.88039 

0.75926 

9.88252 

0.76298 

9.88462 

0.76668 

4 

58 

9.87612 

0.75182 

9.87828 

0.75558 

9.88043 

0.75932 

9.88255 

0.76305 

9.88465 

0.76675 

2 

15^  59m 

I5I1  57m 

15h  55m 

15h  53m 

15J>-  5im 

B   ' 
0+15 

8h  im  120°  0" 

9,h^rn  130°  30' 

8h  5m  131°  0' 

8h  7m  121°  30' 

8h  9m  133°  O' 

s 
60 

9.87615 

0.75189 

9.87832 

0.75565 

9.88046 

0.75939 

9.88259 

0.76311 

9.88469 

0.76681 

2 

.87619 

.75195 

.87835 

.75571 

.88050 

.75945 

.88262 

.76317 

.88472 

.76687 

58 

4+16 

.87623 

.75201 

.87839 

.75577 

.88053 

.75951 

.88266 

.76323 

.88476 

.76693 

56 

6 

.87626 

.75208 

.87843 

.75583 

.88057 

.75957 

.88269 

.76329 

.88479 

.76699 

54 

5+17 

9.87630 

0.75214 

9.87846 

0.75590 

9.88061 

0.759G4 

9.88273 

0.76335 

9.88483 

0.76705 

52 

10 

.87633 

.75220 

.87850 

.75596 

.88064 

.75970 

.88276 

.76342 

.88486 

.76711 

50 

12+1% 

.87637 

.75226 

.87853 

.75602 

.88068 

.75976 

.88280 

.76348 

.88490 

.76718? 

48 

14 

.87641 

.75233 

.87857 

.75608 

.88071 

.75982 

.88283 

.76354 

.88493 

.76724 

46 

16+19 

9.87644 

0.75239 

9.87861 

0.75615 

9.88075 

0.75988 

9.88287 

0.76360 

9.88496 

0.76730 

44 

18 

.87648 

.75245 

.87864 

.75621 

.88078 

.75995 

.88290 

.76366 

.88500 

.76736 

42 

fO+20 

.87652 

.75251 

.87868 

.75637 

.88082 

.76001 

.88294 

.76373 

.88503 

.76742 

40 

22 

.87655 

.75258 

.87871 

.75633 

.88085 

.76007 

.88297 

.76379 

.88507 

.76748 

38 

24+n 

9.87659 

0.75264 

9.87875 

0.75640 

9.88089 

0.76013 

9.88301 

0.76385 

9.88510 

0.76754 

36 

26 

.87662 

.75270 

.87879 

.75646 

.88092 

.76019 

.88304 

.76391 

.88514 

.76761 

34 

28+%% 

.87666 

.75277 

.87882 

.75652 

.88096 

.76026 

.88308 

.76397 

.88517 

.76767 

32 

30 

.87670 

.75283 

.87886 

.75658 

.88100 

.76033 

.88311 

.76403 

.88521 

.76773 

30 

32+%Z 

9.87673 

0.75289 

9.87889 

0.75665 

9.88103 

0.76038 

9.88315 

0.76410 

9.88524 

0.76779 

28 

34 

.87677 

.75295 

.87893 

.75671 

.88107 

.76044 

.88318 

.76416 

.88528 

.76785 

26 

36+U 

.87680 

.75302 

.87896 

.75677 

.88110 

.76050 

.88322 

.76423 

.88531 

.76791 

24 

38 

.87684 

.75308 

.87900 

.75683 

.88114 

.76057 

.88325 

.76438 

.88535 

.76797 
0.76804 

22 
20 

40+%5 

9.87688 

0.75314 

9.87904 

0.75690 

9.88117 

0.76063 

9.88329 

0.76434 

9.88528 

42 

.87691 

.75321 

.87907 

.75696 

.88121 

.76069 

.88332 

.76440 

.88542 

.76810 

18 

44+%6 

.87695 

.75337 

.87911 

.75702 

.88124 

.76075 

.88336 

.76447 

.88545 

.76816 

16 

46 

.87699 

.75333 

.87914 

.75708 

.88128 

.76082 

.88339 

.76453 

.88549 

.76823 

14 

48+%l 

9.87702 

0.75339 

9.87918 

0.75714 

9.88131 

0.76088 

9.88343 

0.76459 

9.88552 

0.76828 

12 

50 

.87706 

.75346 

.87921 

.75721 

.88135 

.76094 

.88346 

.76465 

.88556 

.76834 

10 

52+28 

.87709 

.75352 

.87925 

.75727 

.88139 

.76100 

.88350 

.76471 

.88559 

.76840 

8 

54 

.87713 

.75358 

.87929 

.75733 

.88142 

.76106 

.88353 

.76477 

.88562 

.76847 

6 

56+29 

9.87717 

0.75364 

9.87932 

0.75739 

9.88146 

0.76113 

9.88357 

0.76484 

9.88566 

0.76853 

4 

58 

.87720 

.75371 

.87936 

.75746 

.88149 

.76119 

.88360 

.76490 

.88569 

.76859 

2 

60+30 

9.87724 

0.75377 

9.87939 

0.75752 

9.88153 

0.76125 

9.88364 

0.76496  9.88573 

0.76865 

0 

15^  58m 

15h  sem 

15h  54m 

15^  52m         1    15h  50m 

TABLE  ly.                  [Page  141 

Haversinea. 

s    ' 

^'^iO™  122°  30^ 

8^  12m  123°  0' 

8h  14m  1330  30/ 

8h  16m  134°  o' 

8h  18^  124°  30^ 

s 

Log.  Ilav 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0      0 

9.88573 

0.76865 

9.8S7S0 

0.77232 

9.88984 

0.77597 

9.89187 

0.77960 

9.89387 

0.78320 

60 

^ 

.88576 

.76871 

.88783 

.77238 

.88988 

.77603 

.89190 

.77966 

.89391 

.78326 

58 

4+  1 

.88580 

.76877 

.88787 

.77244 

.88991 

.77609 

.89194 

.77972 

.89394 

.78332 

56 

6 

.88583 

.76883 

.88790 

.77250 

.88995 

.77615 

.89197 

.77978 

.89397 

.78338 

54 

S+   3 

9.88587 

0.76890 

9.88793 

0.77256 

9.88998 

0.77621 

9.89200 

0.77984 

9.89400 

0.78344 

59. 

10 

.88590 

.76896 

.88797 

.77262 

.89001 

.77627 

.89204 

.77990 

.89404 

.78350 

50 

12+   3 

.88594 

.76902 

.88800 

.77269 

.89005 

.77633 

.89207 

.77996 

.89407 

.78356 

48 

14 

.88597 

.76908 

.88804 

.77275 

.89008 

.77639 

.89210 

.78002 

.89411 

.78362 

46 

16+   4 

9.88600 

0.76914 

9.88807 

0.77281 

9.89012 

0.77645 

9.89214 

0.78008 

9.89414 

0.78368 

44 

18 

.88604 

.76920 

.88811 

.77287 

.89015 

.77651 

.89217 

.78014 

.89417 

.78374 

42 

20+  5 

.88607 

.76926 

.88814 

.77293 

.89018 

.77657 

.89221 

.78020 

.89421 

.78380 

40 

22 

.88611 

.76932 

.88817 

.77299 

.89022' 

.77664 

.89224 

.78026 

.89424 

.78386 

38 

24+   6 

9.88614 

.076939 

9.88821 

0.77305 

9.89025 

0.77670 

9.89227 

0.78032 

9.89427 

0.78392 

36 

26 

.88618 

.76945 

.88824 

.77311 

.89028 

.77676 

.89231 

.78038 

.89431 

.78398 

34 

28+   7 

.88621 

.76951 

.88828 

.77317 

.89032 

.77682 

.89234 

.78044 

.89434 

.78404 

32 

SO 

.88625 

.76957 

.88831 

.77323 

.89035 

.77688 

.89237 

.78050 

.89437 

.78410 

30 

S2+   8 

9.88628 

0.76963 

9.88835 

0.77329 

9.89039 

0.77694 

9.89241 

0.78056 

9.89441 

0.78416 

28 

5-^ 

.88632 

.76969 

.88838 

.77336 

.89042 

.77700 

.89244 

.78062 

.89444 

.78422 

26 

56+  9 

.88635 

.76975 

.88841 

.77342 

.89045 

.77706 

.89247 

.78068 

.89447 

.78428 

24 

38 

.88639 

.76981 

.88845 

.77348 

.89049 

.77712 

.89251 

.78074 

.89450 

.78434 

22 

40+10 

9.88642 

0.76988 

.9.88848 

0.77354 

9.89052 

0.77718 

9.89254 

0.78080 

9.89454 

0.78440 

20 

42 

.88645 

.76994 

.88852 

.77360 

.89056 

.77724 

.89257 

.78086 

.89457 

.78448 

18 

u+n 

.88649 

.77000 

.88855 

.77366 

.89059 

.77730 

.89261 

.78092 

.89460 

.78452 

16 

46 

.88652 

.77006 

.88858 

.77372 

.89062 

.77736 

.89264 

.78098 

.89464 

.78458 

14 

48+Vi 

9.88656 

0.77012 

9.88862 

0.77378 

9.89066 

0.77742 

9.89267 

0.78104 

9.89467 

0.78464 

12 

50 

.88659 

.77018 

.88865 

.77384 

.89069 

.77748 

.89271 

.78110 

.89470 

.78470 

10 

5f+13 

.88663 

.77024 

.88869 

.77390 

.89072 

.77754 

.89274 

.78116 

.89474 

.78476 

8 

54 

.88666 

.77030 

.88872 

.77396 

.89076 

.77760 

.89277 

.78122 

.89477 

.78482 

6 

56+14 

9.88670 

0.77036 

9.88876 

0.77403 

9.89079 

0.77766 

9.89281 

0.78128 

9.89480 

0.78488 

4 

55 

9.88673 

0.77043 

9.88879 

0.77409 

9.89083 

0.77772 

9.89284 

0.78134 

.9.89484 

0.78494 

2 

15T^  49m 

15^  47m 

15h4Sm 

15h43m 

i5h  41m 

B   ' 
0+15 

8h  lim  133°  3(y 

8h  ism  133°  iy 

8h  15m  133°  3(K 

8h  17m  124°  (K 

8h  19m  124°  3(K 

8 

9.88677 

0.77049 

9.88882 

0.77415 

9.89086 

0.77779 

9.89287 

0.78140 

9.89487 

0.78500 

60 

2 

.88680 

.77055 

.88886 

.77412 

.89089 

.77785 

.89291 

.78146 

.89490 

.78506 

58 

4+16 

.88683 

.77061 

.88889 

.77427 

.89093 

.77791 

.89294 

.78152 

.89493 

.78512 

56 

6 

.88687 

.77067 

.88893 

.77433 

.89096 

.77797 

.89298 

.78158 

.89497 

.78518 

54 

8+11 

9.88690 

0.77073 

9.88896 

0.77439 

9.89099 

0.77803 

9.89301 

0.78164 

9.89500 

0.78524 

52 

10 

.88694 

.77079 

.88899 

.77445 

.89102 

.77809 

.89304 

.78170 

.89503 

.78530 

50 

12+lS 

.88697 

.77085 

.88903 

.77451 

.89106 

.77815 

.89308 

.78176 

.89507 

.78536 

48 

14 

.88701 

.77092 

.88906 

.77457 

.89110 

.77821 

.89311 

.78182 

.89510 

.78542 

46 

16+19 

9.88704 

0.77098 

9.88910 

0.77463 

9.89113 

0.77827 

9.89314 

0.78188 

9.89513 

0.78548 

U 

18 

.88708 

.77104 

.88913 

.77469 

.89116 

.77833 

.89318 

.78194 

.89517 

.78554 

42 

20+20 

.88711 

.77110 

.88916 

.77475 

.89120 

.77839 

.89321 

.78200 

.89520 

.78560 

40 

22 

.88714 

.77116 

.88920 

.77482 

.89123 

.77845 

.89324 

.78206 

.89523 

.78566 

38 

24+21 

9.88718 

0.77122 

9.88923 

0.77488 

9.89126 

0.77851 

9.89328 

0.78212 

9.89527 

0.78572 

36 

26 

.88721 

.77128 

.88927 

.77494 

.89130 

.77857 

.89331 

.78218 

.89530 

.78577 

34 

28+22 

.88725 

.77134 

.88930 

.77500 

.89133 

.77863 

.89334 

.78224 

.89533 

.78583 

32 

SO 

.88728 

.77140 

.88933 

.77506 

.89137 

.77869 

.89338 

.78230 

.89536 

.78589 

30 

S2+2S 

9.88732 

0.77147 

9.88937 

0.77512 

9.89140 

0.77875 

9.89341 

0.78236 

9.89540 

0.78595 

28 

S4 

.88735 

.77153 

.88940 

.77518 

.89143 

.77881 

.89344 

.78242 

.89543 

.78601 

26 

S6+2i: 

.88739 

.77159 

.88944 

.77524 

.89147 

.77887 

.89348 

.78248 

.89546 

.78607 

24 

S8 

.88742 

.77165 

.88947 

.77530 

.89150 

.77893 

.89351 

.78254 

.89550 

.78613 

22 
20 

40+25 

9.88745 

0.77171 

9.88950 

0.77536 

9.89153 

0.77899 

9.89354 

0.78260 

9.89553 

0.78619 

42 

.88749 

.77177 

.88954 

.77542 

.89157 

.77905 

.89358 

.78266 

.89556 

.78625 

18 

44+26 

.88752 

.77183 

.88957 

.77548 

.89160 

.77911 

.89361 

.78272 

.89559 

.78531 

16 

46 

.88756 

.77189 

.88961 

.77554 

.89163 

.77917 

.89364 

.78278 

.89563 

.78637 

14 

45+27 

9.88759 

0.77195 

9.88964 

0.77560 

9.89167 

0.77923 

9.89368 

0.78284 

9.89566 

0.78643 

12 

50 

.88763 

.77201 

.88967 

.77567 

.89170 

.77929 

.89371 

.78290 

.89569 

.78649 

10 

52+2S 

.88766 

.77208 

.88971 

.77573 

.89174 

.77936 

.89374 

.78296 

.89573 

.78655 

8 

54 

.88769 

.77214 

.88974 

.77579 

.89177 

.77942 

.89378 

.78302 

.89576 

.78661 

6 

56+29 

9.88773 

0.77220 

9.88978 

0.77585 

9.89180 

0.77948 

9.89381 

0.78308 

9.89579 

0.78667 

4 

58 

.88776 

.77226 

.88981 

.77591 

.89184 

.77954 

.89384 

.78314 

.89583 

.78673 

2 

60+30 

9.88780 

0.77232 

9.88984 

0.77597 

9.89187 

0.77960 

9.89387 

0.78320 

9.89586 

0.78679 

0 

15h4Srn         1 

15h  46^         1 

15h  44m         1 

J5h  42m         1 

15h  40m         1 

Page  142]                  TABLE  IV.                         | 

Saversines, 

•  8  ;.  ' 

8h  20m  125°  r 

8^^  22m  135°  30' 

8h  24'^  126°  0' 

8h  26m  126°  30' 

8h  28m  1370  (/ 

3 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

0     0 

9.89586 

0.78679 

9.89782 

0.79035 

9.89976 

0.79389 

9.90168 

0.79741 

9.90358 

O.S0091 

60 

'2 

.89589 

.78685 

.89785 

.79041 

.89979 

.79395 

.90171 

.79747 

.90361 

.80097 

58 

4+  1 

.89592 

.78691 

.89789 

.79047 

.89983 

.79401 

.90175 

.79753 

.90365 

.80103 

56 

6 

.89596 

.78697 

.89792 

.79053 

.89986 

.79407 

.90178 

.79759 

.90368 

.80108 

54 
52 

8+  2 

9.89599 

0.78703 

9.89795 

0.79059 

9.89989 

0.79413 

9.90181 

0.79765 

9.90371 

0.80114 

10 

.89602 

.78709 

.89798 

.79065 

.89992 

.79419 

.90184 

.79770 

.90374 

.80120 

50 

12+   3 

.89606 

.78715 

.89802 

.79071 

.89995 

.79425 

.90187 

.79776 

.90377 

.80126 

48 

U 

.89609 

.78721 

.89805 

.79077 

.89999 

.79430 

.90191 

.79783 

.90380 

.80131 

46 

16-\-  i 

9.89612  1  0.78726 

9.89808 

0.79082 

9.90002 

0.79436 

9.90194 

0.79788 

9.90383 

0.80137 

44 

18 

.89615 

.78732 

.89811 

.79088 

.90005 

.79442 

.90197 

.79794 

.90387 

.80143 

42 

20-{-   5 

.89619 

.78738 

.89815 

.79094 

.90008 

.79448 

.90200 

.78800 

.90390 

.80149 

40 

22 

.89622 

.78744 

.89818 

.79100 

.90012 

.79454 

.90203 

.79805 

.90393 

.80155 

38 

24+  6 

9.89625 

0.78750 

9.89821 

0.79106 

9.90015 

0.79460 

9.90206 

0.79811 

9.90396 

0.80160 

36 

26 

.89628 

.78756 

.89824 

.79112 

.90018 

.79466 

.90210 

.79817 

.90399 

.80166 

34 

28+   7 

.89632 

.78762 

.89828 

.79118 

.90021 

.79471 

.90213 

.79833 

.90402 

.80172 

32 

SO 

.89635 

.78768 

.89831 

.79124 

.90024 

.79477 

.90216 

.79839 

.90405 

.80178 

SO 

32+  8 

9.89638 

0.78774 

9.89834 

0.79130 

9.90028 

0.79483 

9.90219 

0.79835 

9.90409 

0.80184 

28 

34 

.89642 

.78780 

.89837 

.79136 

.90031 

.79489 

.90222 

.79840 

.90412 

.80189 

26 

36+   9 

.89645 

.78786 

.89840 

.79143 

.90034 

.79495 

.90225 

.70846 

.90415 

.80195 

24 

38 

.89648 

.78792 

.89844 

.79148 

.90037 

.79501 

.90229 

.79853 

.90418 

.80201 

22 

40+10 

9.89651 

0.78798 

9.89847 

0.79153 

9.90040 

0.79507 

9.90232 

0.79858 

9.90421 

0.80307 

20 

42 

.89655 

.78804 

.89850 

.79159 

.90044 

.79513 

.90235 

.79864 

.90425 

.80313 

18 

44+11 

.89658 

.78810 

.89853 

.79165 

.90047 

.79519 

.90238 

.79870 

.90428 

.80318 

16 

46 

.89661 

.78816 

.89857 

.79171 

.90050 

.79524 

.90241 

.79875 

.90431 

.80334 

14 

48+lZ 

9.89665 

0.78822 

9.89860 

0.79177 

9.90053 

0.79530 

9.90244 

0.79881 

9.90434 

0.80330 

12 

50 

.89668 

.78828 

.89863 

.79183 

.90056 

.79536 

.90248 

.79887 

.90437 

.80336 

10 

52+li 

.89671 

.78834 

.89866 

.79189 

.90060 

.79542 

.90251 

.79899 

.90440 

.80343 

8 

54 

.89674 

.78839 

.89870 

.79195 

.90063 

.79548 

.90254 

.79893 

.90443 

.80347 

6 

56+11 

9.89678 

0.78845 

9.89873 

0.79201 

9.90066 

0.79554 

9.90257 

0.79905 

9.90446 

0.80353 

4 

58 

9.89681 

0.78851  9.89876 

0.79207 

9.90069 

0.79560 

9.90260 

0.79910 

.9.90449 

0.80359 

2 

15h  39m         [     15Ji37m         j    l5h  35^ 

15h  SSm 

15h  Sim 

8^' 

0+15 

8h  21m  125°  0^ 

gn  23m  125°  30' 

5ft  25^  126°  0' 

8h  27m  126°  3r 

8h  29m  137°  0' 

s 
60 

9.89684 

0.78857 

9.89879 

0.79212 

.9.90072 

0.79565 

9.90264 

0.79916 

9.90452 

0.80^5 

2 

.89687 

.78863 

.89883 

.79218 

.90076 

.79571 

.90267 

.79922 

.90456 

.80270 

58 

•4+16 

.89691 

.78869 

.89886 

.79224 

.90079 

.79577 

.90270 

.79928 

.90459 

.80376 

56 

6 

.89694 

.78875 

.89889 

.79230 

.90082 

.79583 

.90273 

.79934 

.90462 

.80282 

54 

8+1-1 

9.89697 

0.78881 

9.89892 

0.79236 

9.90085 

0.79589 

9.90276 

0.79940 

9.90465 

0.80288 

52 

10 

.89701 

.78887 

.89896 

.79243 

.90088 

.79595 

.90279 

.79945 

.90468 

.80294 

50 

12+1% 

.89704 

.78893 

.89899 

.79348 

.90092 

.79601 

.90282 

.79951 

.90471 

.80299 

48 

14 

.89707 

.78899 

.89902 

.79354 

.90095 

.79607 

.90286 

.79957 

.90475 

.80305 

46 

16+19 

9.89710 

0.78905 

9.89905 

0.79260 

9.90098 

0.79612 

9.902S9 

0.79963 

9.90478 

0.80311 

44 

18 

.89714 

.78911 

.89908 

.79266 

.90101 

.79618 

.90292 

.79969 

.90481 

.80317 

42 

20+30 

.89717 

.78917 

.89912 

.79271 

.90104 

.79624 

.90295 

.79974 

.90484 

.80323 

40 

22 

.89720 

.78923 

.89915 

.79277 

.90108 

.79630 

.90298 

.79980 

.90487 

.80328 

38 

24+21 

9.89723 

0.78928 

9.89918 

0.79383 

9.90111 

0.79636 

9.90301 

0.79986 

9.90490 

0.80334 

36 

26 

.89727 

.78934 

.89921 

.79289 

.90114 

.79642 

.90305 

.79992 

.90493 

.80340 

34 

28+22 

.89730 

.78940 

.89925 

.79295 

.90117 

.79648 

.90308 

.79998 

.90496 

.80346 

32 

SO 

.89733 

.78946 

.89928 

.79301 

.90120 

.79653 

.90311 

.80004 

.90499 

.80351 

30 

32+23 

9.89736 

0.78952 

9.89931 

0.79307 

9.90124 

0.79659 

9.90314 

0.80009 

9.90503 

0.80357 

28 

34 

.89740 

.78958 

.89934 

.79313 

.90127 

.79665 

.90317 

.80015 

.90506 

.80363 

26 

36+21 

.89743 

.78964 

.89938 

.79319 

.90130 

.79671 

.90320 

.80021 

.90509 

.80369 

24 

38 

.89746 

.78970 

.89941 

.79325 

.90133 

.79677 

.90324 

.80027 

.90512 

.80375 

22 

40+15 

9.89749 

0.78976 

9.89944 

0.79330 

9.90136 

0.79683 

9.90327 

0.80033 

9.90515 

0.80380 

20 

42 

.89753 

.78982 

.89947 

.79336 

.90140 

.79688 

.90330 

.80038 

.90518 

.80386 

18 

U+2^ 

.89756 

.78988 

.89950 

.79342 

.90143 

.79694 

.90333 

.80044 

.90521 

.80392 

16 

46 

.89759 

.78994 

.89954 

.79348 

.90146 

.79700 

.90336 

.80050 

.90524 

.80398 

14 

48+21 

9.89763 

0.79000 

.9.89957 

0.79354 

9.90149 

0.79706 

9.90339 

0.80056 

9.90527 

0.80403 

12 

50 

.89766 

.79006 

.89960 

.79360 

.90152 

.79712 

.90342 

.80062 

.90531 

.80409 

10 

52+2S 

.89769 

.79011 

.89963 

.79366 

.90356 

.79718 

.90346 

.80068 

.90534 

.80415 

8 

54 

.89772 

.79017 

.89966 

.79372 

.90159 

.79724 

.90349 

.80073 

.90537 

.80421 

6 

56+39 

9.89776 

0.79023 

9.89970 

0.79377 

9.90162 

0.79729 

9.90352 

0.80079 

9.90540 

0.80427 

4 

55 

.89779 

.79029 

.89973 

.79383 

.90165 

.79735 

.90355 

.80085 

.90543 

.80433 

2 

60+30 

9.89782 

0.79035 

9.89976 

0.79389 

9.90168 

0.79741 

9.90358 

0.80091 

9.90546 

0.80438 

0 

i5A  38m          1 

15^  36m         1 

15^  34m         1 

15f^  S2m         1 

ISf^SOm 

TABLE  IV.                  [Page  143 

Haversinea. 

s   ; 

8h  SOm  127°  30' 

Sh  32m  128°  0' 

8h  34m  128°  30' 

8h  36m  129°  0' 

8h  38m  129°  W 

a 

Log.  Hav. 

Nat.  Hav. 

Log.  Ilav. 

Nat.  Hav. 

Log.  Ilav. 

Nat.  nav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0      0 

2 

4+1 

6 

9.90546 
.90549 
.90552 
.90556 

0.80438 
.80444 
.80450 
.80455 

9.90732 
.90735 
.90738 
.90741 

0.80783 
.80789 
.80795 
.80800 

9.90916 
.90919 
.90922 
.90925 

0.81126 
.81131 
.81137 
.81143 

9.91098 
.91101 
.91104 
.91107 

0.81466 
.81472 
.81477 

.81483 

9.91277 
.91280 
.91283 
.91286 

0.81804 
.81810 

.81815 
.81821 

60 
58 
56 
54 

S+  2 

10 

12+   3 
14 

16+   4 
18 

20+   6 
22 

9.90559 
.90562 
.90565 
.90568 

9.90571 
.90574 
.90577 
.90580 

0.80461 
.80467 
.80473 
.80478 

0.80484 
.80490 
.80496 
.80503 

9.90744 
.90747 
.90751 
.90754 

9.90757 
.90760 
.90763 
.90766 

0.80806 
.80812 

.80817 
.80823 
0.80829 
.80835 
.80840 
.80846 

9.90928 
.90931 
.90934 
.90937 

9.90940 
.90943 
.90946 
.90949 

0.81148 
.81154 
.81160 
.81165 

0.81171 
.81177 
.81183 
.81188 

9.91110 
.91113 
.91110 
.91119 

9.91122 
.91125 
.91128 

■  .91131 

0.81489 
.81494 
.81500 
.81506 

0.81511 
.81517 
.81523 
.81528 

9.91289 
.91292 
.91295 
.91298 

9.91301 
.91304 
.91307 
.91310 

0.81826 

.81832 
.81838 
.81843 
0.81849 
.81854 
.81860 
.81866 

52 
50 
48 
46 
44 
42 
40 
38 

24+   6 
26 
28+   7 

SO 

32+   8 
34 

36+   9 
38 

9.90584 
.90587 
.90590 
.90593 

9.90596 
.90599 
.90602 
.90605 

0.80507 
.80513 
.80519 
.80525 

0.80530 
.80536 
.80542 
.89548 

9.90769 
.90772 
.90775 
.90778 

9.90781 
.90784 
.90787 
.90790 

0.80852 

.80858 
.80863 
.80869 
0.80875 
.80880 
.80886 
.80892 

9.90952 
.90955 
.90958 
.90962 

9.90965 
.90968 
.90971 
.90974 

0.81194 
.81200 
.81205 
.81211 

0.81217 
.81222 
.81228 
.81234 

9.91134 
.91137 
.91140 
.91143 

9.91146 
.91149 
.91152 
.91155 

0.81534 
.81539 
.81545 
.81551 

0.81556 
.81562 
.81568 
.81573 

9.91313 
.91316 
.91319 
.91322 

9.91325 
.91328 
.91331 
.91334 

0.81871 

.81877 
.81882 
.81888 
0.81894 
.81899 
.81905 
.81910 

36 
34 

32 
30 
28 
26 

24 

22 

40+U 

42 

44+11 

46 

48+12 

50 

5f+13 

54 

9.90608 
.90611 
.90615 
.90618 

9.90621 
.90624 
.90627 
.90630 

0.80553 
.80559 
.80565 
.80571 

0.80576 
.80582 
.80588 
.80594 

9.90794 
.90797 
.90800 
.90803 

9.90806 
.90809 
.90812 
.90815 

0.80898 
.80903 
.80909 
.80915 

0.80920 
.80926 
.80932 
.80938 

9.90977 
.90980 
.90983 
.90986 

9.90989 
.90992 
.90995 
.90998 

0.81239 
.81245 
.81251 
.81256 

0.81262 
.81268 
.81273 
.81279 

9.91158 
.91161 
.91164 
.91167 

9.91170 
.91173 
.91176 
.91179 

0.81579 

.81585 
.81590 
.81596 
0.81601 
.81607 
.81613 
.81618 

9.91337 
.91340 
.91343 
.91346 

9.91349 
.91352 
.91355 
.91358 

0.81916 
.81922 
.81927 
.81933 

0.81938 
.81944 
.81950 
.81955 

20 
18 
16 
14 
12 
10 
8 
6 

56+U 
58 

9.90633 
9.90636 

0.80599 
0.80605 

9.90818 
9.90821 

0.80943 
0.80949 

9.91001 
9.91004 

0.81285 
0.81291 

9.91182 
9.91185 

0.81624 
0.81630 

9.91361 
9.91364 

0.81961 
0.81966 

4 

2 

15^  29m 

15h  27m 

15h  25m 

15h  23m 

15h  21m 

s   ' 

0+15 

2 

4+1% 

6 

8h  Sim  127°  3(K 

Sh  33m  128°  r 

8h  35m  128°  30^ 

Sh  37m  129°  0' 

8h  39m  139°  scK 

s 

60 
58 
56 
54 

9.90639 
.90642 
.90646 
.90646 

0.80611 
.80617 
.80622 
.80628 

9.90824 
.90827 
.90830 
.90833 

0.80955 
.80960 
.80966 
.80972 

9.91007 
.91010 
.91013 
.91016 

0.81296 
.81302 
.81308 
.81313 

9.91188 
.91191 
.91194 
.91197 

0.81635 
.81641 
.81647 
.81652 

9.91367 
.91369 
.91372 
.91375 

0.81972 
.81978 
.81983 
.81989 

8+n 

10 

12+18 

14 

16+19 

18 

20+20 

22 

9.90652 
.90655 
.90658 
.90661 

9.90664 
.90667 
.90670 
.90673 

0.80634 
.80640 
.80645 
.80651 

0.80657 
.80663 
.80668 
.80674 

9.90836 
.90840 
.90843 
.90846 

9.90849 
.90852 
.90855 
.90858 

0.80978 
.80983 
.80989 
.80995 

0.81000 
.81006 
.81012 
.81017 

9.91019 
.91022 
.91025 
.91028 

9.91031 
.91034 
.91037 
.91040 

0.81319 
.81325 
.81330 
.81336 

0.81342 
.81347 
.81353 
.81359 

9.91200 
.91203 
.91206 
.91209 

9.91212 
.91215 
.91218 
.91221 

0.81658 
.81663 
.81669 
.81675 

0.81680 
.81686 
.81692 
.81697 

9.91378 
.91381 
.91384 
.91387 

9.91390 
.91393 
.91396 
.91399 

0.81994 
.82000 
.82005 
.82011 

0.82017 
.82022 
.82028 
.82033 

52 
50 
48 
46 
U 
42 
40 
38 

24+21 

26 

28+22 

SO 

32+2Z 

34 

36+24: 

38 

9.90676 
.90680 
.90683 
.90686 

9.90689 
.90692 
.90695 
.90698 

0.80680 
.80686 
.80691 
.80697 

0.80703 
.80709 
.80714 
.80720 

9.90861 
.90864 
.90867 
.90870 

9.90873 
.90876 
.90879 
.90882 

0.81023 
.81029 
.81035 
.81040 

0.81046 
.81052 
.81057 
.81063 

9.91043 
.91046 
.91049 
.91052 

9.91055 
.91058 
.91061 
.91064 

0.81364 
.81370 
.81376 
.81381 

0.81387 
.81392 
.81398 
.81404 

9.91224 
.91227 
.91230 
.91233 

9.91236 
.91239 
.91242 
.91245 

0.81703 
.81708 
.81714 
.81720 

0.81725 
.81731 
.81737 
.81742 

9.91402 
.91405 
.91408 
.91411 

9.91414 
.91417 
.91420 
.91423 

0.82039 
.82045 
.82050 
.82056 

0.82061 
.82067 
.82072 
.82078 

36 
34 
32 
30 
28 
26 
24 
22 

40+25 

42 

U+2Q 

46 

48+27 

50 

52+2S 

54 

9.90701 
.90704 
.90707 
.90710 

9.90714 
.90717 
.90720 
.90723 

0.80726 
.80731 
.80737 
.80743 

0.80749 
.80754 
.80760 
.80766 

9.90885 
.90888 
.90892 
.90895 

9.90898 
.90901 
.90904 
.90907 

0.81068 
.81074 
.81080 
.81086 

0.81092 
.81097 
.81103 
.81109 

9.91067 
.91071 
.91074 
.91077 

9.91080 
.91083 
.91086 
.91089 

0.81409 
.81415 
.81421 
.81426 

0.81432 
.81438 
.81443 
.81449 

9.91248 
.91251 
.91254 
.91257 

9.91260 
.91263 
.91265 
.91268 

0.81748 
.81753 
.81759 
.81765 

0.81770 
.81776 
.81781 
.81787 

9.91426 
.91429 
.91432 
.91435 

9.91437 
.91440 
.91443 
.91446 

0.82084 
.82089 
.82095 
.82100 

0.82106 
.82112 
.82U7 
.82123 

20 
18 
16 
14 
12 
10 
8 
6 

56+29 

58 

60+30 

9.90726 

.90729 

9.90732 

0.80772 

.80777 
0.80783 

9.90910 

.90913 

9.90916 

0.81114 

.81120 

0.81126 

9.91092 

.91095 

9.91098 

0.81455 

.81460 

0.81466 

9.91271 

.91274 

9.91277 

0.81793 

.81798 

0.81804 

9.91449 

.91452 

9.91455 

0.82128 

.82134 

0.82139 

4 
2 
0 

15h  28m 

15h  26m 

15h  24m 

15h  22m 

15h20m 

Page  144]                  TABLE  IV.                         | 

Haversines.                                1 

s    ' 

5^40^  130°  0^ 

8fi  42^  130°  3r 

5ft  U^  131°  O' 

8h  46m  131°  3(K 

5ft45'nl32°r  1 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0      0 

9.91455 

0.83139 

9.91631 

0.82472 

9.91805 

0.83803 

9.91976 

0.83131 

9.92146 

0.83457 

60 

0 

.91458 

.83145 

.91634 

.83478 

.91807' 

.83808 

.91979 

.83136 

.92149 

.83462 

58 

4+  1 

.91461 

.82151 

.91637 

.83483 

.91810 

.83814 

.91982 

.83142 

.92152 

.83467 

56 

6 

.91464 

.83156 

.91640 

.83489 

.91813 

.83819 

.91985 

.83147 

.92154 

.83473 

54 

8+   2 

9.91467 

0.82163 

9.91643 

0.83495 

9.91816 

0.83835 

9.91988 

0.83153 

9.92157 

0.83478 

52 

10 

.91470 

.83167 

.91645 

.83500 

.91819 

.83830 

.91991 

.83158 

.92160 

.83484 

50 

12+   4 

.91473 

.83173 

.91648 

.83506 

.91822 

.83836 

.91993 

.83164 

.92163 

.83489 

48 

14 

.91476 

.83178 

.91651 

.83511 

.91825 

.83841 

.91996 

.83169 

.92166 

.83494 

46 

16+   4 

9.91479 

0.83184 

9.91654 

0.83517 

9.91828 

0.83847 

9.91999 

0.83175 

9.92169 

0.83500 

44 

18 

.91482 

.83189 

.91657 

.83533 

.91830 

.83853 

.92002 

.83180 

.92171 

.83505 

42 

20+   5 

.91485 

.83195 

.91660 

.83538 

.91833 

.83858 

.92005 

.83185 

.92174 

.83511 

40 

22 

.91488 

.83300 

.91663 

.83533 

.91836 

.83863 

.92008 

.83191 

.92177 

.83516 

38 

24+   6 

9.91490 

0.83306 

9.91666 

0.83539 

9.91839 

0.83869 

9.92010 

0.83196 

9.92180 

0.83521 

36 

26 

.91493 

.83313 

.91669 

.83544 

.91842 

.83874 

.92013 

.83303 

.92183 

.83527 

34 

28+   7 

.91496 

.83317 

.91672 

.83550 

.91845 

.83880 

.92016 

.83307 

.92185 

.83533 

32 

SO 

.91499 

.83233 

.91674 

.83555 

.91848 

.83885 

.92019 

.83313 

.92188 

.83538 

30 

S2+   8 

9.91502 

0.83338 

9.91677 

0.83561 

9.91851 

0.83891 

9.92022 

0.83318 

9.92191 

0.83543 

28 

34 

.91505 

.83334 

.91680 

.82566 

.91853 

.83896 

.92025 

.83334 

.92194 

.83548 

26 

36+   9 

.91508 

.83340 

.91683 

.82572 

.91856 

.82902 

.92027 

.83339 

.92197 

.83554 

24 

38 

.91511 

.83345 

.91686 

.83577 

.91859 

.82907 

.92030 

.83334 

.92199 

.83559 

22 

4^+10 

9.91514 

0.82251 

9.91689 

0.83583 

9.91862 

0.82913 

9.92033 

0.83340 

9.92202 

0.83564 

20 

4^ 

.91517 

.83356 

.91692 

.83588 

.91865 

.83918 

.92036 

.83345 

.92205 

.83570 

18 

■^+11 

.91520 

.83363 

.91695 

.83594 

.91868 

.83934 

.92039 

.83351 

.92208 

.83575 

16 

46 

.91523 

.83367 

.91698 

.83599 

.91871 

.83939 

.92042 

.83356 

.92211 

.83581 

14 

48+n 

9.91526 

0.83373 

9.91701 

0.83605 

9.91874 

0.83934 

9.92044 

0.83363 

9.92213 

0.83586 

12 

50 

.91529 

.83378 

.91703 

.82610 

.91876 

.83940 

.92047 

.83367 

.92216 

.83591 

10 

5^+13 

.91532 

.83384 

.91706 

.83616 

.91879 

.83945 

.92050 

.83373 

.92219 

.83597 

8 

54 

.91534 

.83390 

.91709 

.83631 

.91882 

.83951 

.92053 

.83278 

.92222 

.83602 

6 

56+14 

9.91537 

0.83395 

9.91712 

0.83637 

9.91885 

0.83956 

9.92056 

0.83383 

9.92225 

0.83608 

4 

58 

9.91540 

0.83301 

9.91715 

0.83632 

9.91888 

0.83963 

9.92059 

0.83389 

9.92227 

0.83613 

2 

15h  19m 

15h  17m 

15^  15m 

15Ji  13m 

15h  11m 

s   ' 
0+15 

8h  41m  130°  0^ 

Sh  43m  130°  30^ 

8h  45m  131°  0' 

8h  47m  131°  30: 

8h  49m  132°  r 

s 
60 

9.91543 

0.83306 

9.91718 

0.83638 

9.91891 

0.83967 

9.92061 

0.83394 

9.92230 

0.83618 

2 

.91546 

.83313 

.91721 

.83644 

.91894 

.83973 

.92064 

.83300 

.92233 

.83634 

58 

4+16 

.91549 

.83317 

.91724 

.83649 

.91896 

.83978 

.92067 

.83305 

.92236 

.83639 

56 

6 

.91552 

.83333 

.91727 

.83655 

.91899 

.83984 

.92070 

.83310 

.92239 

.83635 

54 

5+17 

9.91555 

0.83338 

9.91730 

0.83860 

9.91902 

0.83989 

9.92073 

0.83316 

9.92241 

0.83640 

52 

iO 

.91558 

.83334 

.91732 

.83666 

.91905 

.83995 

.92076 

.83331 

.92244 

.83645 

50 

J^+18 

.91561 

.83339 

.91735 

.83671 

.91908 

.83000 

.92078 

.83327 

.92247 

.83651 

48 

14 

.91564 

.83345 

.91738 

.83677 

.91911 

.83006 

.92081 

.83332 

.92250 

.83656 

46 

16+19 

9.91567 

0.83351 

9.91741 

0.83683 

9.91914 

0.83011 

9.92084 

0.83337 

9.92253 

0.83661 

U 

18 

.91570 

.83356 

.91744 

.83688 

.91916 

.83016 

.92087 

.83343 

.92255 

.83667 

42 

fO+20 

.91573 

.83363 

.91747 

.83693 

.91919 

.83033 

.92090 

.83348 

.92258 

.83673 

40 

22 

.91575 

.83367 

.91750 

.83699 

.91922 

.83037 
0.83033 

.92093 

.83354 

.92261 

.83678 

38 

24+91 

9.91578 

0.83373 

9.91753 

0.83704 

9.91925 

9.92095 

0.83359 

9.92264 

0.83683 

36 

26 

.91581 

.83378 

.91756 

.83710 

.91928 

.83038 

.92098 

.83365 

.92266 

.83688 

34 

28+2^ 

.91584 

.83384 

.91758 

.83715 

.91931 

.83044 

.92101 

.83370 

.92269 

.83694 

32 

SO 

.91587 

.83389 

.91761 

.83731 

.91934 

.83049 

.92104 

.83375 

.92272 

.83699 

SO 

32+2S 

9.91590 

0.83395 

9.91764 

0.83736 

9.91936 

0.83055 

9.92107 

0.83381 

9.92275 

0.83704 

28 

34 

.91593 

.83400 

.91767 

.83733 

.91939 

.83060 

.92109 

.83386 

.92278 

.83710 

26 

56+24 

.91596 

.83406 

.91770 

.83737 

.91942 

.83066 

.92112 

.83392 

.§2280 

.83715 

24 

38 

.91599 

.83413 

.91773 

.83743 

.91945 

.83071 

.92115 

.83397 

.92283 

.83730 

22 
20 

40+25 

9.91602 

0.83417 

9.91776 

0.83748 

9.91948 

0.83077 

9.92118 

0.83402 

9.92286 

0.83736 

42 

.91605 

.83433 

.91779 

.83754 

.91951 

.83083 

.92121 

.83408 

.92289 

.83731 

18 

44+26 

.91608 

.83438 

.91782 

.83759 

.91954 

.83087 

.92124 

.83413 

.92292 

.83737 

16 

46 

.91610 

.83434 

.91784 

.83765 

.91956 

.83093 

.92126 

.83419 

.92294 

.83743 

14 

4^+27 

9.91613 

0.83439 

9.91787 

0.83770 

9.91959 

0.83098 

9.92129 

0.83424 

9.92297 

0.83747 

12 

50 

.91616 

.83445 

.91790 

.83776 

.91962 

.83104 

.92132 

.83430 

.92300 

.83753 

10 

5^+28 

.91619 

.83450 

.91793 

.83781 

.91965 

.83109 

.92135 

.83435 

.92303 

.83758 

8 

54 

.91622 

.83456 

.91796 

.83786 
0.83793 

.91968 

.83115 

.92138 

.83440 

.92305 

.83763 

6 

56+29 

9.91625 

0.83461 

9.91799 

9.91971 

0.83130 

9.92140 

0.83446 

9.92308 

0.83769 

4 

55 

.91628 

.82467 

.91802 

.83797 

.91973 

.83126 

.92143 

.83451 

.92311 

.83774 

2 

60+30 

9.91631 

0.82473 

9.91805 

0.83803 

9.91976 

0.83131 

9.92146 

0.83457 

9.92314 

0.83780 

0 

15hl8m 

15h  16m 

15h  14m 

15^  12m 

15h  lom 

TABLE  IV.                 [Page  145 
Havereines. 

s    ' 

8h  50m  133°  30'  | 

Sh  52"*  133°  0' 

Sfi  54^  133°  30'  1 

5ft56"H34°0'  1 

8h  58m  134°  30^ 

s 

60 
58 
56 
54 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav.  Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0      0 

2 

4+1 

6 

9.92314 
.92317 
.92319 
.92322 

0.83780 

.83785 
.83790 
.83796 

9.92480 

.92482 
.92485 
.92488 

0.84100 
.84105 
.84111 
.84116 

9.92643 
.92646 
.92649 
.92652 

0.84418 
.84433 

.84438 
.84434 

9.92805 
.92808 
.92811 
.92813 

0.84733 

.84738 
.84743 
.84749 

9.92965 
.92968 
.92970 
.92973 

0.85045 
.85051 
.85056 
.85061 

8+  2 

10 
12+   3 

14 

16+   4 
18 
20+  5 

22 

9.92325 
.92328 
.92330 
.92333 

9.92336 
.92339 
.92342 
.92344 

0.83801 
.83806 
.83813 

.83817 

0.83833 

.83838 

.83833 

.83838 

9.92491 
.92493 
.92496 
.92499 

9.92502 
.92504 
.92507 
.92510 

0.84131 
.84137 
.84133 
.84137 

0.84143 
.84148 
.84153 
.84158 

9.92654 
.92657 
.92660 
.92662 

9  92665 
.92668 
.92670 
.92673 

0.84439 
.84444 
.84449 
.84455 

0.84460 
.84465 
.84470 
.84476 

9.92816 
.92819 
.92821 
.92824 

9.92827 
.92829 
.92832 
.92835 

0.84754 

.84759 

.84764 

.84770 

0.84775 

.84780 
.84785 
.84790 

9.92975 
.92978 
.92981 
.92984 

9.92986 
.92989 
.92992 
.92994 

0.85066 
.85071 
.85077 

.85083 
0.85087 
.85093 
.85097 
.85103 

52 
50 
48 
46 
U 
42 
40 
38 
36 
34 
32 
30 
28 
26 
24 
22 

24+   6 

26 

28+   7 
30 

32+   8 
34 

36+  9 
38 

9.92347 
.92350 
.92353 
.92355 

9.92358 
.92361 
.92364 
.92366 

0.83844 
.83849 

.83855 

.83860 

0.83865 

.83871 
.83876 

.83881 

9.92512 
.92515 
.92518 
.92521 

9.92523 
.92526 
.92529 
.92532 

0.84164 
.84169 
.84174 
.84180 

0.84185 
.84190 
.84196 
.84301 

9.92676 
.92679 
.92681 
.92684 

9.92687 
.92689 
.92692 
.92695 

0.84481 
.84486 
.84493 
.84497 

0.84503 
.84507 
.84513 
.84518 

9.92837 
.92840 
.92843 
.92845 

9.92848 
.92851 
.92853 
.92856 

0.84796 
.84801 

.84806 

.84811 
0.84817 

.84833 
.84837 
.84833 

9.92997 
.93001 
.93002 
.93005 

9.93007 
.93010 
.93013 
.93015 

0.85108 
.85113 
.85118 
.85133 

0.85138 
.85134 
.85139 
.85144 

40+10 
42 

44+n 

46 

48+12 

50 

52+lZ 

54 

9.92369 
.92372 
.92375 
.92378 

9.92380 
.92383 
.92386 
.92389 

0.83887 
.83893 
.83897 
.83903 

0.83908 
.83913 
.83919 
.83934 

9.92534 
.92537 
.92540 
.92543 

9.92545 
.92548 
.92551 
.92554 

0.84306 
.84311 
.84317 

.84333 
0.84337 
.84333 
.84338 
.84343 

9.92698 
.92700 
.92703 
.92706 

9.92708 
.92711 
.92714 
.92716 

0.84533 

.84538 
.84534 
.84539 
0.84544 
.84549 
.84555 
.84560 

9.92859 
.92861 
.92864 
.92867 

9.92869 
.92872 
.92875 
.92877 

0.84837 

.84843 
.84848 
.84853 
0.84858 
.84863 
.84869 
.84874 

9.93018 
.93021 
.93023 
.93026 

9.93029 
.93031 
.93034 
.93036 

0.85149 
.85154 
.85159 
.85165 

0.85170 
.85175 
.85180 
.85185 

20 
18 
16 
14 
12 
10 
8 
6 

56+14 
58 

9.92391 
9.92394 

0.83939 
0.83935 

9.92556 
9.92559 

0.84349 
0.84354 

9.92719 
9.92722 

0.84565 
0.84570 

9.92880 
9.92883 

0.84879 
0.84884 

9.93039 
9.93042 

0.85190 
0.85196 

4 

2 

IShgm 

IShTm 

15h  5m 

15^  3™- 

Uhim 

B        ' 

8h  5im  132°  30'' 

8h  53m  133°  O' 

8h  55m  133°  30^ 

8h  57m  134°  r 

8h  59m  134°  30' 

B 

0+15 

2 

4+ie 

6 

9.92397 
.92400 
.92402 
.92405 

0.83940 
.83945 
.83951 
.83956 

9.92562 
.92564 
.92567 
.92570 

0.84359 
.84364 
.84370 
.84375 

9.92725 
.92727 
.92730 
.92733 

0.84576 

.84581 
.84586 
.84591 

9.92885 
.92888 
.92891 
.92893 

0.84890 

.84895 
.84900 
.84905 

9.93044 
.93047 
.93050 
.93052 

0.85301 
.85306 
.85311 
.85316 

60 
58 
56 
54 
52 
50 
48 
46 
44 
42 
40 
38 
36 
34 
32 
SO 
28 
26 
24 
22 

8+n 

10 

12+lS 

14 

16+19 

18 

20+m 

22 

9.92408 
.92411 
.92413 
.92416 

9.92419 
.92422 
.92425 
.92427 

0.83961 
.83967 
.83973 
.83977 

0.83983 
.83988 
.83993 
.83999 

9.92573 
.92575 
.92578 
.92581 

9.92584 
.92586 
.92589 
.92592 

0.84380 
.84386 
.84391 
.84396 

0.84303 
.84307 
.84313 
.84317 

9.92735 
.92738 
.92741 
.92743 

9.92746 
.92749 
.92751 
.92754 

0.84597 
.84603 
.84607 
.84612 

0.84618 
.84633 
.84638 
.84633 

9.92896 
.92899 
.92901 
.92904 

9.92907 
.92909 
.92912 
.92915 

0.84910 
.84916 
.84931 
.84936 

0.84931 
.84936 
.84943 
.84947 

9.93055 
.93057 
.93060 
.93063 

9.93065 
.93068 
.93071 
.93073 

0.85331 
.85337 
.85333 
.85337 

0.85343 
.85347 
.85353 
.85358 

0.85363 
.85368 
.85373 
.85378 

0.85283 
.85388 
.85394 
.85399 

24+21 

26 

28+22 

30 

32+2Z 

34      ' 

56+34 

38 

9.92430 
.92433 
.92436 
.92438 

9.92441 
.92444 
.92447 
.92449 

0.84004 
.84009 
.84015 
.84030 

0.84035 
.84031 
.84036 
.84041 

9.92594 
.92597 
.92600 
.92603 

9.92605 
.92608 
.92611 
.92613 

0.84333 
.84338 
.84333 
.84339 

0.84344 
.84349 
.84354 
.84360 

9.92757 
.92760 
.92762 
.92765 

9.92768 
.92770 
.92773 
.92776 

0.84639 
.84644 
.84619 
.84654 

0.84660 
.84665 
.84670 
.84675 

9.92917 
.92920 
.92923 
.92925 

9.92928 
.92931 
.92933 
.92936 

0.84963 
.84957 
.84963 
.84968 

0.84973 
.84978 
.84983 
.84988 

9.93076 
.93079 
.93081 
.93084 

9.93086 
.93089 
.93092 
.93094 

40+25 

42 

U+26 

46 

48+2:7 

50 

52+2S 

54 

9.92452 
.92455 
.92458 
.92460 

9.92463 
.92466 
.92469 
.92471 

0.84047 
.84053 
.84057 
.84063 

0.84068 
.84073 
.84079 
.84084 

9.92616 
.92619 
.92622 
.92624 

9.92627 
.92630 
.92633 
.92635 

9.92638 
.92641 

9.92643 

0.84365 
.84370 
.84376 
.84381 

0.84386 
.84391 
.84397 
.84403 

9.92778 
.92781 
.92784 
.92786 

9.92789 
.92792 
.92794 
.92797 

0.84681 
.84686 
.84691 
.84696 

0.84703 
.84707 
.84713 
.84717 

9.92939 
.92941 
.92944 
.92947 

9.92949 
.92952 
.92955 
.92957 

0.84994 
.84999 
.85004 
.85009 

0.85014 
.85030 
.85035 
.85030 

9.93097 
.93100 
.93102 
.93105 

9.93107 
.93110 
.93113 
.93115 

0.85304 
.85309 
.85314 
.85319 

0.85334 
.85330 
.85335 
.85340 

0.85345 
.85350 

0.85355 

20 
18 
16 
14 
12 
10 
8 
6 

4 
2 
0 

56+29 

58 

60+30 

9.92474 

.92477 

9.92480 

0.84089 

.84095 

0.84100 

0.84407 

.84413 

0.84418 

9.92800 

.92802 

9.92805 

0.84733 

.84738 
0.84733 

9.92960 

.92962 

9.92965 

0.85035 

.85040 

0.85045 

9.93118 

.93120 

9.93123 

15Ti'8m 

15hem 

15^  4m 

I5h2m 

.  15^  Om 

55901°— 18- 


-10 


Page  146]                  TABLE  IV. 

Haversines. 

s   ' 

9A  0^    135° 

5ft  4'"    136° 

9A  8m         137° 

9h  12m       138° 

Shiem       139°  1 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

s 

0      0 

9.93123 

0.85355 

9.93433 

0.85967 

9.93736 

0.86568 

9.94030 

0.87157 

9.94318 

0.87735 

60 

4      1 

.93128 

.85366 

.93438 

.85977 

.93741 

.86578 

.94035 

.87167 

.94322 

.87745 

56 

8      H 

.93134 

.85376 

.93443 

.85987 

.93746 

.86588 

.94040 

.87177 

.94327 

.87755 

62 

12      3 

.93139 

.85386 

.93448 

.85997 

.93751 

.86597 

.94045 

.87186 

.94332 

.87764 

48 

16      4 

9.93144 

0.85396 

9.93454 

0.86007 

9.93755 

0.86607 

9.94050 

0.87196 

9.94336 

0.87774 

U 

20      5 

.93149 

.85407 

.93459 

.86017 

.93760 

.86617 

.94055 

.87206 

.94341 

.87783 

40 

U      6 

.93154 

.85417 

.93464 

.86028 

.93765 

.86627 

.94059 

.87216 

.94346 

.87793 

36 

28      7 

.93160 

.85427 

.93469 

.86038 

.93770 

.86637 

.94064 

.87225 

.94351 

.87802 

32 

S2      8 

9.93165 

0.85438 

9.93474 

0.86048 

9.93775 

0.86647 

9.94069 

0.87235 

9.94355 

0.87812 

28 

36      9 

.93170 

.85448 

.93479 

.86058 

.93780 

.86657 

.94074 

.87245 

.94360 

.87821 

24 

40  10 

.93175 

.85458 

.93484 

.86068 

.93785 

.86667 

.94079 

.87254 

.94365 

.87831 

20 

44  11 

.93181 

.85468 

.93489 

.86078 

.93790 

.86677 

.94084 

.87264 

.94369 

.87840 

16 

4S    13 

9.93186 

0.85479 

9.93494 

0.86088 

9.93795 

0.86686 

9.94088 

0.87274 

9.94374 

0.87850 

12 

55  13 

.93191 

.85489 

.93499 

.86098 

.93800 

.86696 

.94093 

.87283 

.94379 

.87859 

8 

56    U 

9.93196 

0.85499 

9.93504 

0.86108 

9.93805 

0.86706 

9.94098 

0.87293 

9.94383 

0.87869 

4 

14h  59m 

14h  55m 

14k  Sim 

14h  47m 

14h 43m 

s   ' 

gh im         135° 

ghsm         136° 

gh  gm     137° 

gh ism       138° 

gh  17m       139° 

s 

0  15 

9.93201 

0.85509 

9.93509 

0.86118 

9.93810 

0.86716 

9.94103 

0.87303 

9.94388 

0.87878 

60 

4    16 

.93207 

.85520 

.93515 

.86128 

.93815 

.86726 

.94108 

.87313 

.94393 

.87888 

66 

5  17 

.93212 

.85530 

.93520 

.86138 

.93820 

.86736 

.94112 

.87322 

.94398 

.87897 

52 

12    18 

.93217 

.85540 

.93525 

.86148 

.93825 

.86746 

.94117 

.87332 

.94402 

.87907 

48 

16  19 

9.93222 

0.85550 

9.93530 

0.86158 

9.93830 

0.86756 

9.94122 

0.87342 

9.94407 

0.87916 

44 

;?0  20 

.93227 

.85560 

.93535 

.86168 

.93835 

.86765 

.94127 

.87351 

.94412 

.87926 

40 

24  n 

.93232 

.85571 

.93540 

.86178 

.93840 

.86775 

.94132 

.87361 

.94416 

.87935 

36 

28    22 

.93238 

.85581 

.93545 

.86189 

.93845 

.86785 

.94137 

.87371 

.94421 

.87945 

32 

32    23 

9.93243 

0.85591 

9.93550 

0.86199 

9.93849 

0.86795 

9.94141 

0.87380 

9.94426 

0.87954 

28 

56  24 

.93248 

.85601 

.93555 

.86209 

.93854 

.86805 

.94146 

.87390 

.94430 

.87964 

24 

40  25 

.93253 

.85612 

.93560 

.86219 

.93859 

.86815 

.94151 

.87400 

.94435 

.87973 

20 

44  26 

.93258 

.85622 

.93565 

.86229 

.93864 

.86825 

.94156 

.87409 

.94440 

.87983 

16 

45  27 

9.93264 

0.85632 

9.93570 

0.86239 

9.93869 

0.86834 

9.94161 

0.87419 

9.94444 

0.87992 

12 

62    28 

.93269 

.85642 

.93575 

.86249 

.93874 

.86844 

.94165 

.87428 

.94449 

.88001 

8 

56  29 

9.93274 

0.85652 

9.93580 

0.86259 

9.93879 

0.86854 

9.94170 

0.87438 

9.94454 

0.88011 

4 

14h  58m 

14h  54m 

14h  5om 

14h  46m 

14h  40m 

s   ' 

9k  pn         135° 

9h6m         136° 

gh  10m       137° 

9h  14m       138° 

gh  18m       139° 

s 

0    30 

9.93279 

0.85663 

9.93585 

0.86269 

9.93884 

0.86864 

9.94175 

0.87448 

9.94458 

0.88020 

60 

4  31 

.93284 

.85673 

.93590 

.86279 

.93889 

.86874 

.94180 

.87457 

.94463 

.88030 

56 

5  32 

.93289 

.85683 

.93595 

.86289 

.93894 

.86884 

.94184 

.87467 

.94468 

.88039 

52 

12    33 

.93295 

.85693 

.93600 

.86299 

.93899 

.86893 

.94189 

.87477 

.94472 

.88049 

48 

i6  34 

9.93300 

0.85703 

9.93605 

0.86309 

9.93904 

0.86903 

9.94194 

0.87486 

9.94477 

0.88058 

44 

20    35 

.93305 

.85713 

.93611 

.86319 

.93908 

.86913 

.94199 

.87496 

.94482 

.88068 

40 

f4  36 

.93310 

.85724 

.93616 

.86329 

.93913 

.86923 

.94204 

.87505 

.94486 

.88077 

36 

28    37 

.93315 

.85734 

.93621 

.86339 

.93918 

.86933 

.94208 

.87515 

.94491 

.88086 

32 

55  38 

9.93320 

0.85744 

9.93626 

0.86349 

9.93923 

0.86942 

9.94213 

0.87525 

9.94496 

0.8S996 

28 

56  39 

.93326 

.85754 

.93631 

.86359 

.93928 

.86952 

.94218 

.87534 

.94500 

.88105 

24 

40    40 

.93331 

.85764 

.93636 

.86369 

.93933 

.86962 

.94223 

.87544 

.94505 

.88115 

20 

44  41 

.93336 

.85774 

.93641 

.86379 

.93938 

.86972 

.94227 

.87554 

.94509 

.88124 

16 

48    42 

9.93341 

0.85785 

9.93646 

0.86389 

9.93943 

0.86982 

9.94232 

0.87563 

9.94514 

0.88133 

12 

55  43 

.93346 

.85795 

.93651 

.86399 

.93948 

.86991 

.94237 

.87573 

.94519 

.88143 

8 

56  44 

9.93351 

0.85805 

9.93656 

0.86409 

9.93952 

0.87001 

9.94242 

0.87582 

9.94523 

0.88152 

4 

14>i  57m 

14h  53m 

14^  49m      ^ 

14h45m 

14h  41m          1 

s   ' 

9h  3m         135° 

9h  im         136° 

gh  11m       137° 

9^ 15m       138° 

gkigm       139°  | 

s 

0    45 

9.93356 

0.85815 

9.93661 

0.86419 

9.93957 

0.87011 

9.94246 

0.87592 

9.94528 

0.88162 

60 

4  46 

.93362 

.85825 

.93666 

.86429 

.93962 

.87021 

.94251 

.87602 

.94533 

.88171 

56 

5  47 

.93367 

.85835 

.93671 

.86438 

.93967 

.87030 

.94256 

.87611 

.94537 

.88180 

52 

15  48 

.93372 

.85846 

.93676 

.86448 

.93972 

.87040 

.94261 

.87621 

.94542 

.88190 

48 

16    49 

9.93377 

0.85856 

9.93681 

0.86458 

9.93977 

0.87050 

9.942G5 

0.87630 

9.94546 

0.88199 

U 

50  50 

.93382 

.85866 

.93686 

.86468 

.93982 

.87060 

.94270 

.87640 

.94551 

.88309 

40 

54  51 

.93387 

.85876 

.93691 

.86478 

.93987 

.87070 

.94275 

.87649 

.94556 

.88218 

36 

55  53 

.93392 

.85886 

.93696 

.86488 

.93991 

.87079 

.94280 

.87659 

.94560 

.88227 

32 

55  53 

9.93397 

0.85896 

9.93701 

0.86498 

9.93996 

0.87089 

9.94284 

0.87669 

9.94565 

0.88237 

28 

36    54 

.93403 

.85906 

.93706 

.86508. 

.94001 

.87099 

.94289 

.87678 

.94570 

.88246 

24 

40  65 

.93408 

.85916 

.93711 

.86518 

.94006 

.87109 

.94294 

.87688 

.94574 

.88255 

20 

U    56 

.93413 

.85926 

.93716 

.86528 

.94011 

.87118 

.94299 

.87697 

.94579 

.88265 

16 

45  57 

9.93418 

0.85937 

9.93721 

0.86538 

9.94016 

0.87128 

9.94303 

0.87707 

9.94583 

0.88274 

12 

55  58 

.93423 

.85947 

.93726 

.86548 

.94021 

.87138 

.^4308 

.87716 

.94588 

.88284 

8 

66    59 

.93428 

.85957 

.93731 

.86558 

.94026 

.87148 

.94313 

.87726 

.94593 

.88293 

4 

60  60 

9.93433 

0.85967 

9.93736 

0.86568 

9.94030 

0.87157 

9.94318 

0.87735 

9.94597 

0.88302 

0 

14h  56m 

1411 52m         1 

14^ 48m 

Uh  44m         1 

14h  40m         1 

TABLE  IV.                  [Page  147 

Havereines. 

s   ' 

9h  20!m        140° 

9A  24^        141° 

gh  28m       142° 

gh  S2m       143° 

gh  S6m        144° 

s 
60 

Log.  Hav 

Nat.  Hav 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Ilav. 

Log.  Hav. 

Nat.  Hav. 

0      0 

9.94597 

0.88302 

9.94869 

0.88857 

9.95134 

0.89401 

9.95391 

0.89932 

9.95641 

0.90451 

4      1 

.94602 

.88312 

.94874 

.88866 

.95138 

.89409 

.95396 

.89941 

.95645 

.90459 

56 

8      2 

.94606 

.88321 

.94878 

.88876 

.95143 

.89418 

.95400 

.89949 

.95649 

.90468 

52 

12      3 

.94611 

.88330 

.94883 

.88885 

.95147 

.89427 

.95404 

.89958 

.95654 

.90476 

48 

16      4 

9.94616 

0.88340 

9.94887 

0.88894 

9.95151 

0.89436 

9.95408 

0.89967 

9.95658 

0.90485 

44 

20      5 

.94620 

.88349 

.94892 

.88903 

.95156 

.89445 

.95412 

.89976 

.95662 

.90494 

40 

24      6 

.94625 

.88358 

.94896 

.88912 

.95160 

.89454 

.95417 

.89984 

.95666 

.90502 

36 

28      7 

.94629 

.88368 

.94901 

.88921 

.95164 

.89463 

.95421 

.89993 

.95670 

.90511 

32 

5:?   8 

9.94634 

0.88377 

9.94905 

0.88930 

9.95169 

0.89472 

9.95425 

0.90002 

9.95674 

0.90519 

28 

S6      9 

.94638 

.88386 

.94909 

.88940 

.95173 

.89481 

.95429 

.90010 

.95678 

.90528 

24 

40  10 

.94643 

.88396 

.94914 

.88949 

.95177 

.89490 

.95433 

.90019 

.95682 

.90537 

20 

^  11 

.94648 

.88405 

.94918 

.88958 

.95182 

.89499 

.95438 

.90028 

.95686 

.90545 

16 

48  n 

9.94652 

0.88414 

9.94923 

0.88967 

9.95186 

0.89508 

9.95442 

0.90037 

9.95690 

0.90553 

12 

52    13 

.94657 

.88423 

.94927 

.88976 

.95190 

.89517 

.95446 

.90045 

.95694 

.90562 

8 

56  14 

9.94661 

0.88433 

9.94932 

0.88985 

9.95195 

0.89526 

9.95450 

0.90054 

9.95699 

0.90570 

4 

14h  sm 

14^  35m 

14h  Sim 

14h  27m 

14h  23m 

s   ' 
0    15 

gh  2im        140° 

gh  25^       141° 

gh  29m       142° 

9^  33m        143° 

gh  Sim       144° 

s 
60 

9.94666 

0.88442 

9.94936 

0.88994 

9.95199 

0.89534 

9.95454 

0.90063 

9.95703 

0.90579 

4    16 

.94670 

.88451 

.94941 

.89003 

.95203 

.89543 

.95459 

.90071 

.97507 

.90588 

56 

5  17 

.94675 

.88461 

.94945 

.89012 

.95208 

.89552 

.95463 

.90080 

.95711 

.90596 

52 

12    18 

.94680 

.88470 

.94950 

.89022 

.95212 

.89561 

.95467 

.90089 

.95715 

.90604 

48 

i6  19 

9.94684 

0.88479 

9.94954 

0.89031 

9.95216 

0.89570 

9.95471 

0.90097 

9.95719 

0.90613 

44 

fO  20 

.94689 

.88489 

.94958 

.89040 

.95221 

.89579 

.95475 

.90106 

.95723 

.90621 

40 

f^  21 

.94693 

.88498 

.94963 

.89049 

.95225 

.89588 

.95480 

.90115 

.95727 

.90630 

36 

f5  22 

.94698 

.88507 

.94967 

.89058 

.95229 

.89597 

.95484 

.90124 

.95731 

.90638 

32 

S2    23 

9.94702 

0.88516 

9.94972 

0.89067 

0.95234 

0.89606 

9.95488 

0.90132 

9.95735 

0.90647 

28 

56  24 

.94707 

.88526 

.94976 

.89076 

.95238 

.89614 

.95492 

.90141 

.95739 

.90655 

24 

40  25 

.94711 

.88535 

.94981 

.89085 

.95242 

.89623 

.95496 

.90150 

.95743 

.90664 

20 

44  26 

.94716 

.88544 

.94985 

.89094 

.95246 

.89632 

.95501 

.90158 

.95747 

.90672 

16 

4^  27 

9.94721 

0.88553 

9.94989 

0.89103 

9.95251 

0.89641 

9.95505 

0.90167 

9.95751 

0.90680 

12 

52    28 

.94725 

.88563 

.94994 

.89112 

.95255 

.89650 

.95509 

.90176 

.95755 

.90689 

8 

56  29 

9.94730 

0.88572 

9.94998 

0.89121 

9.95259 

0.89659 

9.95513 

0.90184 

9.95759 

0.90697 

4 

Uh  S8m 

Wh  34'^ 

14^  30m 

14^  26m 

14h  22m 

s   ' 
0    30 

gh  22Tn       140° 

gh  26m       141° 

9h  SOm       142° 

gh  S4m       1430 

gh  sgm       144° 

s 
60 

9.94734 

0.88581 

9.95003 

0.89130 

9.95264 

0.89668 

9.95517 

0.90193 

9.95763 

0.90706 

4  31 

.94739 

.88590 

.95007 

.89139 

.95268 

.89677 

.95521 

.90201 

.95768 

.90714 

56 

8    32 

.94743 

.88600 

.95011 

.89149 

.95272 

.89685 

.95526 

.90210 

.95772 

.90723 

52 

1^  33 

.94748 

.88609 

.95016 

.89158 

.95276 

.89694 

.95530 

.90219 

.95776 

.90731 

48 

i6  34 

9.94752 

0.88618 

9.95020 

0.89167 

9.95281 

0.89703 

9.95534 

0.90227 

9.95780 

0.90740 

U 

20    35 

.94757 

.88627 

.95025 

.89176 

.95285 

.89712 

.95538 

.90236 

.95784 

.90748 

40 

f4  36 

.94761 

.88637 

.95029 

.89185 

.95289 

.89721 

.95542 

.90245 

.95788 

.90756 

36 

28    37 

.94766 

.88646 

.95033 

.89194 

.95294 

.89730 

.95546 

.90253 

.95792 

.90765 

32 

5:2  38 

9.94770 

0.88655 

9.95038 

0.89203 

9.95298 

0.89738 

9.95550 

0.90262 

9.95796 

0.90773 

28 

56  39 

.94774 

.88664 

.95042 

.89212 

.95302 

.89747 

.95555 

.90271 

.95800 

.90792 

24 

40    40 

.94779 

.88674 

.95047 

.89221 

.95306 

.89756 

.95559 

.90279 

.95804 

.90790 

20 

44  41 

.94784 

.88683 

.95051 

.89230 

.95311 

.89765 

.95563 

.90288 

.95808 

.90798 

16 

48    42 

9.94788 

0.88692 

9.95055 

0.89239 

9.95315 

0.89774 

9.95567 

0.90296 

9.95812 

0.90807 

12 

5:?  43 

.94793 

.88701 

.95060 

.89248 

.95319 

.89783 

.95571 

.90305 

.95816 

.90815 

8 

56  44 

9.94797 

0.88710 

9.95064 

0.89257 

9.95323 

0.89791 

9.95575 

0.90314 

9.95820 

0.90824 

4 

Uh  Sim, 

14h  ssm 

14''^  29m 

14h  25m 

14^  21m         i 

s   ' 
0    45 

gh2:pn       U9° 

gh  27m       141° 

9h  Sim        1430 

9h  35m       143° 

ghS9m       144° 

s 
60 

9.94802 

0.88720 

9.95069 

0.89266 

9.95328 

0.89800 

9.95579 

0.90322 

9.95824 

0.90832 

4  46 

.94806 

.88729 

.95073 

.89275 

.95332 

.89809 

.95584 

.90331 

.95828 

.90840 

56 

5  47 

.94811 

.88738 

.95077 

.89284 

.95336 

■  .89818 

.95588 

.90339 

.95832 

.90849 

52 

if  48 

.94815 

.88747 

.95082 

.89293 

.95340 

.89827 

.95592 

.90348 

.95836 

.90857 

48 

16    49 

9.94820 

0.88756 

9.95086 

0.89302 

9.75345 

0.89835 

9.95596 

0.90357 

9.95840 

0.90866 

44 

fO  50 

.94824 

.88766 

.95090 

.89311 

.95349 

.89844 

.95600 

.90365 

.95844 

.90874 

40 

24    51 

.94829 

.88775 

.95095 

.89320 

.95353 

.89853 

.95604 

.90374 

.95848 

.90882 

36 

f5  52 

.94833 

.88784 

.95099 

.89329 

.95357 

.89862 

.95608 

.90382 

.95852 

.90891 

32 

5f  53 

9.94838 

0.88793 

9.95104 

0.89338 

9.95362 

0.89870 

9.95613 

0.90391 

.9  95856 

0.90899 

28 

36    54 

.94842 

.88802 

.95108 

.89347 

.95366 

.89879 

.95617 

.90399 

.95860 

.90907 

24 

40  55 

.94847 

.88811 

.95112 

.89356 

.95370 

.89888 

.95621 

.90408 

.95864 

.90916 

20 

U    56 

.94851 

.88821 

.95117 

.89365 

.95374 

.89897 

.95625 

.90417 

.95868 

.90924 

16 

4^  67 

9.94856 

0.88830 

9.95121 

0.89374 

9.95379 

0.89906 

9.95629 

0.90425 

9.95872 

0.90933 

12 

5:2  58 

.94860 

.88839 

.95125 

.89383 

.95383 

.89914 

.95633 

.90434 

.95876 

.90941 

8 

56    59 

.94865 

.88848 

.95130 

.89392 

.95387 

.89923 

.95637 

.90442 

.95880 

.90949 

4 

60  60 

9.94869 

0.88857 

9.95134 

0.89401 

9.95391 

0.89932 

9.95641 

0.90451 

9.95884 

0.90958 

0 

14^  S6m         1 

14^  S2m         1 

14h  28m          1 

14^  24m         1 

14h  20m         1 

Page  148]                  TABLE  IV.                         [ 

Haversines.                                1 

s         ' 

9A  40m       145° 

9h,  44m       146° 

9h  48m      1470 

gh  52m      148° 

9li5&n       149° 

s 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

Log.  Hav 

Nat.  Hav 

0 

0 

9.95884 

0.90958 

9.96119 

0.91452 

9.96347 

0.91934 

9.96568 

0.92402 

9.96782 

0.92858 

60 

4 

1 

.95888 

.90966 

.96123 

.91469 

.96351 

.91941 

.96572 

.92410 

.96786 

.92866 

56 

8 

2 

.95892 

.90974 

.96127 

.91468 

.96355 

.91949 

,96576 

.92418 

.96789 

.92873 

52 

12 

3 

.95896 

.90983 

.96131 

.91476 

.96359 

.91957 

.96579 

.92426 

.96793 

.93881 

48 

16 

4 

9.95900 

0.90991 

9.96135 

0.91484 

9.96362 

0.91965 

9.96583 

0.92433 

9.96796 

0.93888 

44 

20 

5 

.95904 

.90999 

.96139 

.91493 

.96366 

.91973 

.96586 

.92441 

.96800 

.93896 

40 

24 

6 

.95908 

.91008 

.96142 

.91501 

.96370 

.91981 

.96590 

.92449 

.96803 

.93903 

36 

28 

■? 

.95912 

.91016 

.96146 

.91509 

.96374 

.91989 

.96594 

.92456 

.96807 

,92911 

32 

82 

8 

9.95916 

0.91034 

9.96150 

0.91517 

9.96377 

0.91997 

9.96597 

0.92464 

9.96810 

0.93918 

28 

36 

9 

.95920 

.91033 

.96154 

.91525 

.96381 

.92005 

.96601 

.92472 

.96814 

.92926 

24 

40 

10 

.95924 

.91041 

.96158 

.91533 

.96385 

.92013 

.96604 

.92479 

.96817 

.93933 

20 

44 

li 

.95928 

.91049 

.96162 

.91541 

.96388 

.92020 

.96608 

.93487 

.96821 

.93941 

16 

48 

13 

9.95932 

0.91057 

9.96165 

0.91549 

9.96392 

0.92028 

9.96612 

0.92495 

9.96824 

0.92948 

12 

52 

13 

.95936 

.91066 

.96169 

.91557 

.96396 

.92036 

.96615 

.93503 

.96827 

.92055 

8 

66 

14 

9.95939 

0.91074. 

9.96173 

0.91565 

9.96400 

6.92044 

9.96619 

0.93510 

9.96831 

0.92963 

4 

14^  19m 

14h  15m 

14h  iim 

14h7m 

Uhsm 

s 
0 

15 

9h  4im       145° 

9h  45m       146° 

9h  49m       147° 

9h  53m       148° 

9h  57m       149° 

3 
60 

9.95943 

0.91082 

9.96177 

0.91574 

9.96403 

0.92052 

9.96622 

0.93518 

9.96834 

0.92970 

4 

16 

.95947 

.91091 

.96181 

.91582 

.96407 

.92060 

.96626 

.93535 

.96837 

.92978 

56 

8 

17 

.95951 

.91099 

.96185 

.91590 

.96411 

.92068 

.96630 

.92533 

.96841 

.93985 

52 

12 

18 

.95955 

.91107 

.96188 

.91598 

.96412 

.92076 

.96633 

.93541 

.96845 

.93993 

48 

16 

19 

9.95959 

0.91115 

9.96192 

0.91606 

9.96418 

0.92083 

9.96637 

0.93548 

9.96848 

0.93000 

44 

20 

20 

.95963 

.91124 

.96196 

.91614 

.96422 

.92091 

.96640 

.93556 

.96852 

.93007 

40 

24 

21 

.95967 

.91132 

.96200 

.91622 

.96426 

.92099 

.96644 

.93563 

.96855 

.93015 

36 

28 

22 

.95971 

.91140 

.96204 

.91630 

.96429 

.92107 

.96648 

.93571 

.96859 

.93032 

32 

32 

23 

9.95975 

0.91149 

9.96208 

0.91638 

9.96433 

0.92115 

9.96651 

0.93579 

9.96862 

0.93030 

28 

36 

24 

.95979 

.91157 

.96211 

.91646 

.96437 

.92123 

.96655 

.93586 

.96866 

.93037 

24 

40 

25 

.95983 

.91165 

.96215 

.91654 

.96440 

.92130 

.96658 

.93594 

.96869 

.93045 

20 

44 

26 

.95987 

.91173 

.96219 

..91662 

.96444 

.92138 

.96662 

.93603 

.96873 

.93053 

16 

48 

27 

9.95991 

0.91182 

9.96223 

0.91670 

9.96448 

0.93146 

9.96665 

0.93609 

9.96876 

0.93059 

12 

52 

28 

.95995 

.91190 

.96227 

.91678 

.96451 

.93154 

.96669 

.93617 

.96879 

.93067 

8 

56 

29 

9.95999 

0.91198 

9.96230 

0.91686 

9.96455 

0.93163 

9.96673 

0.92624 

9.96883 

0.93074 

4 

Uh  Igm          1    Uh  14m 

14h lom 

14hem 

14h  2m 

8 
0 

30 

9h42m       145°  | 

9h  46m       146° 

9h  50m       147° 

9h  54m       148° 

9h  58m       149° 

s 
60 

9.96002 

0.91206 

9.96234 

0.91694 

9.96459 

0.93170 

9.96676 

0.92632 

9.96886 

0.93081 

4 

31 

.96006 

.91215 

.96238 

.91702 

.96462 

.92177 

.96680 

.92640 

.96890 

.93089 

56 

8 

32 

.96010 

.91223 

.96242 

.91710 

.96466 

.92185 

.96683 

.92647 

.96894 

.93096 

52 

12 

33 

.96014 

.91231 

.96246 

.91718 

.96470 

.93193 

.96687 

.92655 

.96897 

.93104 

48 

16 

34 

9.96018 

0.91239 

9.96249 

0.91726 

9.96473 

0.93301 

9.96690 

0.92662 

9.96900 

0.93111 

44 

20 

35 

.96022 

.91247 

.96253 

.91734 

.96477 

.93309 

.96994 

.92670 

.96904 

.93118 

40 

24 

36 

.96026 

.91256 

.96257 

.91742 

.96481 

.93316 

.96697 

.92678 

.96907 

.93136 

36 

28 

37 

.96030 

.91264 

.96261 

.91750 

.96484 

.92224 

.96701 

.92685 

.96910 

.93133 

32 

32 

38 

9.96034 

0.91272 

9.96265 

0.91758 

9.96488 

0.93333 

9.96705 

0.92693 

9.96914 

0.93140 

28 

36 

39 

.96038 

.91280 

.96268 

.91766 

.96492 

.92240 

.96708 

.92700 

.96917 

.93148 

24 

40 

40 

.96042 

.91289 

.96272 

.91774 

.96495 

.92248 

.96712 

.92708 

.96921 

.93155 

20 

U 

41 

.96046 

.91297 

.96276 

.91782 

.96499 

.93355 

.96715 

.92715 

.96924 

.93163 

16 

48 

42 

9.96049 

0.91305 

9.96280 

0.91790 

9.96503 

0.93263 

9.96719 

0.92723 

9.96928 

0.93170 

12 

52 

43 

.96053 

.91313 

.96283 

.91798 

.96506 

.93371 

.96722 

.92731 

.96931 

.93177 

8 

66 

44 

9.96057 

0.91321 

9.96287 

0.91806 

9.96510 

0.93379 

9.96726 

0.92738 

9.96934 

0.93184 

4 

14h  J7m         1 

14h  ism 

14^  9m 

14^  5m 

14^  im          1 

s 
0 

45 

9h43m       145° 

9h47m       146° 

9h  6m       147° 

9h  55m       148° 

9h59m       149°  | 

s 
60 

9.96061 

0.91329 

9.96291 

0.91814 

9.96514 

0.93386 

9.96729 

0.92746 

9.96938 

0.93193 

4 

46 

.96065 

.91338 

.96295 

.91822 

.96517 

.93394 

.96733 

.92753 

.96941 

.93199 

66 

8 

47 

.96069 

.91346 

.96299 

.91830 

.96521 

.92302 

.96736 

.92761 

.96945 

.93306 

62 

12 

48 

.96073 

.91354 

.96302 

.91838 

.96525 

.92310 

.96740 

.92768 

.96948 

.93314 

48 

16 

49 

9.96077 

0.91362 

9.96306 

0.91846 

9.96528 

0.93317 

9.96743 

0.92776 

9.96951 

0.93221 

44 

20 

50 

.96081 

.91370 

.96310 

.91854 

.96532 

.93335 

.96747 

.92783 

.96955 

.93228 

40 

24 

51 

.96084 

.91379 

.96314 

.91862 

.96536 

.93333 

.96750 

.92791 

.96958 

.93236 

36 

28 

52 

.96088 

.91387 

.96317 

.91870 

.96539 

.92341 

.96754 

.92798 

.96962 

.93243 

32 

32 

53 

9.96092 

0.91395 

9.96321 

0.91878 

9.96543 

0.93348 

9.96758 

0.92806 

9.96965 

0.93250 

28 

36 

54 

.96096 

.91403 

.96325 

.91886 

.96547 

.93356 

.98761 

.92813 

.96968 

.93258 

24 

40 

55 

.96100 

.91411 

.96329 

.91894 

.96550 

.93364 

.96765 

.93831 

.96972 

.93365 

20 

44 

56 

.96104 

.91419 

.96332 

.91902 

.96554 

.93373 

.96768 

.93828 

.96975 

.93272 

16 

48 

57 

9.96108 

0.91427 

9.96336 

0.91910 

9.96557 

0.93379 

9.96772 

0.92836 

9.96979 

0.93279 

12 

52 

58 

.96112 

.91436 

.96340 

.91918 

.96561 

.93387 

.96775 

.92843 

.96982 

.93287 

8 

50 

59 

.96115 

.91444 

.96344 

.91926 

.96565 

.93394 

.96779 

.92851 

.96985 

.93294 

4 

60 

60 

9.96119 

0.91452 

9.96347 

0.91934 

9.96568 

0.92402 

9.96782 

0.92858 

9.96989 

0.93301 

0 

14^  l&m         1 

7^A  12m         1 

14^  8m          1 

14h  4m          1 

UhOm          1 

J 

TABLE  IV.                  [Page  149 

Haversines. 

s   ' 

10ft  Om   150° 

IQh  4m       151° 

IQh  Sm       153° 

lOh  12m     163° 

lOh  16m     164° 

s 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0      0 

9.96989 

0.93301 

9.97188 

0.93731 

9.97381 

0.94147 

9.97566 

0.94550 

9.97745 

0.94940 

60 

4      1 

.96992 

.93309 

.97192 

.93738 

.97384 

.94154 

.97569 

.95557 

.97748 

.94946 

56 

8      2 

.96996 

.93316 

.97195 

.93745 

.97387 

.94161 

.97572 

.94564 

.97751 

.94953 

52 

12      3 

.96999 

.93323 

.97198 

.93753 

.97390 

.94168 

.97575 

.94570 

.97754 

.94959 

48 

16      4 

9.97002 

0.93330 

9.97201 

0.93759 

9.97393 

0.94175 

9.97578 

0.94577 

9.97756 

0.94965 

44 

20      5 

.97006 

.93338 

.97205 

.93766 

.97397 

.94181 

.97581 

.94583 

.97759 

.94973 

40 

24      6 

.97009 

.93345 

.97208 

.93773 

.97400 

.94188 

.97584 

.94590 

.97762 

.94978 

36 

28      7 

.97012 

.93353 

.97211 

.93780 

.97403 

.94195 

.97587 

.94596 

.97765 

.94984 

32 

32      8 

9.97016 

0.93359 

9.97214 

0.93787 

9.97406 

0.94303 

9.97591 

0.94603 

9.97768 

0.94991 

28 

S6      9 

.97019 

.93367 

.97218 

.93794 

.97409 

.94309 

.97594 

.94610 

.97771 

.94997 

24 

-W  10 

.97022 

.93374 

.97221 

.93801 

.97412 

.94315 

.97597 

.94616 

.97774 

.95003 

20 

■^  11 

.97026 

.93381 

.97224 

.93808 

.97415 

.94233 

.97600 

.94623 

.97777 

.95010 

16 

48    13 

9.97029 

0.93388 

9.97227 

0.93815 

9.97418 

0.94229 

9.97603 

0.94629 

9.97780 

0.95016 

12 

5:?  13 

.97033 

.93395 

.97231 

.93823 

.97422 

.94236 

.97606 

.94636 

.97783 

.95033 

8 

56    14 

9.97036 

0.93403 

9.97234 

0.93829 

9.97425 

0.94343 

9.97609 

0.94642 

9.97785 

0.95039 

4 

13^  59m 

13h  55m 

ISh  Sim 

isn  47m 

13h  43m 

s 

0  15 

IQh  im       150° 

IQh  5m       151° 

IQh  gm       1530 

lOh  13m     153° 

lOh 17m     164° 

s 
60 

9.97039 

0.93410 

9.97237 

0.93836 

9.97428 

0.94349 

9.97612 

0.94649 

9.97788 

0.95035 

4    16 

.97043 

.93417 

.97240 

.93843 

.97431 

.94356 

.97615 

.94655 

.97791 

.95041 

56 

5  17 

.97046 

.93424 

.97244 

.93850 

.97434 

.94363 

.97618 

.94662 

.97794 

.95048 

52 

if  18 

.97049 

.93432 

.97247 

.93857 

.97437 

.94370 

.97621 

.94669 

.97797 

.95054 

48 

16    19 

9.97052 

0.93439 

9.97250 

0.93864 

9.97440 

0.94376 

9.97624 

0.94675 

9.97800 

0.95060 

U 

fO  30 

.97056 

.93446 

.97253 

.93871 

.97443 

.94283 

.97627 

.94683 

.97803 

.95066 

40 

24    31 

.97059 

.93453 

.97257 

.93878 

.97447 

.94290 

.97630 

.94688 

.97806 

.95073 

36 

:?5  33 

.97063 

.93460 

.97260 

.93885 

.97450 

.94297 

.97633 

.94695 

.97808 

.95079 

32 

5f  33 

9.97066 

0.93468 

9.97263 

0.93893 

9.97453 

0.94303 

9.97636 

0.94701 

9.97811 

0.95085 

28 

36    34 

.97069 

.93475 

.97266 

.93899 

.97456 

.94310 

.97639 

.94708 

.97814 

.95093 

24 

-fO  35 

.97073 

.93483 

.97269 

.93906 

.97459 

.94317 

.97642 

.94714 

.97817 

.95098 

20 

44    36 

.97076 

.93489 

.97273 

.93913 

.97462 

.94324 

.97645 

.94731 

.97820 

.95104 

16 

45  37 

9.97079 

0.93496 

9.97276 

0.93920 

9.97465 

0.94330 

9.97647 

0.94727 

9.97823 

0.95111 

12 

5f  38 

.97083 

.93503 

.97279 

.93927 

.97468 

.94337 

.97650 

.94734 

.97826 

.95117 

8 

56    39 

9.97086 

0.93511 

9.97282 

0.93934 

9.97471 

0.94344 

9.97653 

0.94740 

9.97829 

0.95133 

4 

ISh  58m 

13h  54m 

iSh  5om 

ISh  46m 

JSh  42m 

0  30 

lOh  2m       150° 

IQh  6m       151° 

ion  10m     153° 

IQh  14m     1530 

ion  ism     154° 

s 
60 

9.97089 

0.93518 

9.97285 

0.93941 

9.97474 

0.94351 

9.97656 

0.94747 

9.97831 

0.95139 

4    31 

.97093 

.93535 

.97289 

.93948 

.97478 

.94357 

.97659 

.94753 

.97834 

.95136 

56 

5  33 

.97096 

.93533 

.97292 

.93955 

.97481 

.94364 

.97662 

.94760 

.97837 

.95143 

52 

J?:?  33 

.97099 

.93539 

.97295 

.93963 

.97484 

.94371 

.97665 

.94766 

.97840 

.95148 

48 

16    34 

9.97103 

0.93546 

9.97298 

0.93969 

9.97487 

0.94377 

9.97668 

0.94773 

9.97843 

0.95154 

U 

;gO  35 

.97106 

.93554 

.97301 

.93976 

.97490 

.94384 

.97671 

.94779 

.97846 

.95161 

40 

24    36 

.97109 

.93561 

.97305 

.93983 

.97493 

.94391 

.97674 

.94786 

.97849 

.95167 

36 

:?5  37 

.97113 

.93568 

.97308 

.93989 

.97496 

.94397 

.97677 

.94*92 

.97851 

.95173 

32 

5:2  38 

9.97116 

0.93575 

9.97311 

0.93996 

9.97499 

0.94404 

9.97680 

0.94799 

9.97854 

0.95179 

28 

36    39 

.97119 

.93583 

.97314 

.94003 

.97502 

.94411 

.97683 

.94805 

.97857 

.95185 

24 

40  40 

.97123 

.93589 

.97317 

.94010 

.97505 

.94418 

.97686 

.94811 

.97860 

.95193 

20 

U    41 

.97126 

.93596 

.97321 

.94017 

.97508 

.94424 

.97689 

.94818 

.97863 

.95198 

16 

45  43 

9.97129 

0.93603 

9.97324 

0.94034 

9.97511 

0.94431 

9.97692 

0.94824 

9.97866 

0.95204 

12 

52  43 

.97132 

.93611 

.97327 

.94031 

.97514 

.94438 

.97695 

.94831 

.97868 

.95210 

8 

56    44 

9.97136 

0.93618 

9.97330 

0.94038 

9.97518 

0.94444 

9.97698 

0.94837 

9.97871 

0.95217 

4 

13h  57m 

ISh  SSm 

13^  49m 

13n45m 

13h  41m 

s   ' 
0    45 

IQh  3m       150° 

IQh  Tm        151° 

lOh  11m     152° 

lOh  15m     153° 

ion  19m    1540 

s 
60 

9.97139 

0.93625 

9.97333 

0.94045 

9.97521 

0.94451 

9.97701 

0.94844 

9.97874 

0.95233 

4  46 

.97142 

.93633 

.97337 

.94051 

.97524 

.94458 

.97704 

.94850 

.97877 

.95339 

56 

5  47 

.97146 

.93639 

.97340 

.94058 

.97527 

.94464 

.97707 

.94857 

.97880 

.95335 

52 

12    48 

.97149 

.93646 

.97343 

.94065 

.97530 

.94471 

.97710 

.94863 

.97883 

.95241 

48 

:?6  49 

9.97152 

0.93653 

9.97346 

0.94073 

9.97533 

0.94477 

9.97713 

0.94869 

9.97885 

0.95248 

44 

20    50 

.97156 

.93660 

.97349 

.94079 

.97536 

.94484 

.97716 

.94876 

.97888 

.95254 

40 

^4  51 

.97159 

.93667 

.97352 

.94086 

.97539 

.94491 

.97718 

.94882 

.97891 

.95260 

36 

;?5  53 

.97162 

.93674 

.97356 

.94093 

.97542 

.94497 

.97721 

.94889 

.97894 

.95266 

32 

32    53 

9.97165 

0.93683 

9.97359 

0.94099 

9.97545 

0.94504 

9.97724 

0.94895 

9.97897 

0.95272 

28 

56  54 

.97169 

.93689 

.97362 

.94106 

.97548 

.94511 

.97727 

.94901 

.97899 

.95378 

24 

40    55 

.97172 

.93696 

.97365 

.94113 

.97551 

.94517 

.97730 

.94908 

.97902 

.95385 

20 

44  56 

.97175 

.93703 

.97368 

.94120 

.97554 

.94524 

.97733 

.94914 

.97905 

.95391 

16 

45  57 

9.97179 

0.93710 

9.97371 

0.94127 

9.97557 

0.94531 

9.97736 

0.94921 

9.97908 

0,95297 

12 

52    58 

.97182 

.93717 

.97575 

.94134 

.97560 

.94537 

.97739 

.94927 

.97911 

.95303 

8 

56  59 

.97185 

.93734 

.97378 

.94141 

.97563 

.94544 

.97742 

.94933 

.97914 

.95309 

4 

60    60 

9.97188 

0.93731 

9.97381 

0.94147 

9.97566 

0.94550 

9.97745 

0.94940 

9.97916 

0.95315 

0 

ISh  56m 

13h52m 

13n48m         1 

ISh  44m         1 

isn  40m        1 

Page  150]                  TABLE  IV. 

Haversinea. 

s   ' 

10h20m     155° 

iO'i  24"^     156° 

lOh  28m     1570 

lOh  S2m     168° 

lOh  36m     1590 

3 
60 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 
0.96679 

0      0 

9.97916 

0.95315 

9.98081 

0.95677 

9.98239 

0.96025 

9.98389 

0.96359 

9.98533 

4      1 

.97919 

.95322 

.98084 

.95683 

.98241 

.96031 

.98392 

.96365 

.98536 

.96684 

56 

8      2 

.97922 

.95328 

.98086 

.95689 

.98244 

.96037 

.98394 

.96370 

.98538 

.96689 

52 

12      3 

.97925 

.95334 

.98089 

.95695 

.98246 

.96042 

.98397 

.96376 

.98540 

.96695 

48 

16      4 

9.97927 

0.95340 

9.98092 

0.95701 

9.98249 

0.96048 

9.98399 

0.96381 

9.98543 

0.96700 

44 

20      5 

.97930 

.95346 

.98094 

.95707 

.98251 

.96054 

.98402 

.96386 

.98545 

.96705 

40 

24      6 

.97933 

.95352 

.98097 

.95713 

.98254 

.96059 

.98404 

.96392 

.98547 

.96710 

36 

28      7 

.97936 

.95358 

.98100 

.95719 

.98256 

.96065 

.98406 

.96397 

.98550 

.96715 

32 

S2      8 

9.97939 

0.95364 

9.98102 

0.95724 

9.98259 

0.96071 

9.98409 

0.96403 

9.98552 

0.96721 

28 

56   9 

.97941 

.95371 

.98105 

.95730 

.98262 

.96076 

.98411 

.96408 

.98554 

.96726 

24 

40    10 

.97944 

.95377 

.98108 

.95736 

.98264 

.96082 

.98414 

.96413 

.98557 

.96731 

20 

■^  11 

.97947 

.95383 

.98110 

.95742 

.98267 

.96088 

.98416 

.96419 

.98559 

.96736 

16 

^  13 

9.97950 

0.95389 

9.98113 

0.95748 

9.98269 

0.96093 

9.98419 

0.96424 

9.98561 

0.96741 

12 

52    13 

.97953 

.95395 

.98116 

.95754 

.98272 

.96099 

.98421 

.96430 

.98564 

.96746 

8 

56  14 

9.97955 

0.95401 

9.98118 

0.95760 

9.98274 

0.96104 

9.98424 

0.96435 

9.98566 

0.96752 

4 

ISh  39^ 

ISh  35m 

13h  3im 

13h  27m 

13h  23m 

8     ' 

0    15 

IQh  2im     155° 

10^  25m     156° 

10h29m     157° 

IQh  33m     158° 

lOh  sjm      1590 

s 
60 

9.97958 

0.95407 

9.98121 

0.95766 

9.98277 

0.96110 

9.98426 

0.96440 

9.98568 

0.96757 

4  16 

.97961 

.95413 

.98124 

.95771 

.98279 

.96116 

.98428 

.96446 

.98570 

.96762 

56 

8    17 

.97964 

.95419 

.98126 

.95777 

.98282 

.96121 

.98431 

.96451 

.98573 

.96767 

52 

i;?  18 

.97966 

.95425 

.98129 

.95783 

.98285 

.96127 

.98433 

.96457 

.98575 

.96772 

48 

16    19 

9.97969 

0.95431 

9.98132 

0.95789 

9.98287 

0.96133 

9.98436 

0.96462 

9.98577 

0.96777 

44 

;?0  20 

.97972 

.95438 

.98134 

.95795 

.98290 

.96138 

.98438 

.96467 

.98580 

.96782 

40 

;g4  21 

.97975 

.95444 

.98137 

.95801 

.98292 

.96144 

.98440 

.96473 

.98582 

.96788 

36 

;25  22 

.97977 

.95450 

.98139 

.95806 

.98295 

.96149 

.98443 

.96478 

.98584 

.96793 

32 

5?  23 

9.97980 

0.95456 

9.98142 

0.95812 

9.98297 

0.96155 

9.98455 

0.96483 

9.98587 

0.96798 

28 

S6    24 

.97983 

.95462 

.98145 

.95818 

.98300 

.96161 

.98448 

.96489 

.98589 

.96803 

24 

40  25 

.97986 

.95468 

.98147 

.95824 

.98302 

.96166 

.98450 

.96494 

.98591 

.96808 

20 

44  26 

.97988 

.95474 

.98150 

.95830 

.98305 

.96172 

.98453 

.96500 

.98593 

.96813 

16 

48    27 

9.97991 

0.95480 

9.98153 

0.95836 

9.98307 

0.96177 

9.98455 

0.96505 

9.98596 

0.96818 

12 

5^  28 

.97994 

.95486 

.98155 

.95841 

.98310 

.96183 

.98457 

.96510 

.98598 

.96823 

8 

56    29 

9.97997 

0.95492 

9.98158 

0.95847 

9.98312 

0.96188 

9.98460 

0.96516 

9.98600 

0.96829 

4 

13^  38^ 

13h  34m 

13^  30m 

13^  26m 

13h  22m 

0  30 

lOh  22m     155° 

IQh  26m     156° 

IQh  30m     157° 

IQh  S4m     158° 

ion  38m     1590 

3 

60 

9.97999 

0.95498 

9.98161 

0.95853 

9.98315 

0.96194 

9.98462 

0.96521 

9.98603 

0.96834 

4  31 

.98002 

.95504 

.98163 

.95859 

.98317 

.96200 

.98465 

.96526 

.98605 

.96839 

56 

5  32 

.98005 

.95510 

.98166 

.95865 

.98320 

.96205 

.98467 

.96532 

.98607 

.96844 

52 

12    33 

.98008 

.95516 

.98168 

.95870 

.98322 

.96211 

.98469 

.96537 

.98609 

.96849 

48 

16    34 

9.98010 

0.95522 

9.98171 

0.95876 

9.98325 

0.96216 

9.98472 

0.96542 

9.98612 

0.96854 

U 

£0  35 

.98013 

.95528 

.98174 

.95882 

.98327 

.96222 

.98474 

.96547 

.98614 

.96859 

40 

;?4  36 

.98016 

.95534 

.98176 

.95888 

.98330 

.96227 

.98476 

.96553 

.98616 

.96864 

36 

28    37 

.98019 

.95540 

.98179 

.95894 

.98332 

.96223 

.98479 

.96558 

.98619 

.96869 

32 

5;?  38 

9.98021 

0.95546 

9.98182 

0.95899 

9.98335 

0.96238 

9.98481 

0.96563 

9.98621 

0.96874 

28 

36    39 

.98024 

.95552 

.98184 

.95905 

.98337 

.96244 

.98484 

.96569 

.98623 

.96879 

24 

40  40 

.98027 

.95558 

.98187 

.95911 

.98340 

.96249 

.98486 

.96574 

.98625 

.96884 

20 

44  41 

.98030 

.95564 

.98189 

.95917 

.98342 

.96255 

.98488 

.96579 

.98628 

.96889 

16 

48    42 

9.98032 

0.95570 

9.98192 

0.95922 

9.98345 

0.96260 

9.98491 

0.96585 

9.98630 

0.96894 

12 

5«  43 

.98035 

.95576 

.98195 

.95928 

.98347 

.96266 

.98493 

.96590 

.98632 

.96899 

8 

56  44 

9.98038 

0.95582 

9.98197 

0.95934 

9.98350 

0.96272 

9.98496 

0.96595 

9.98634 

0.96905 

4 

ISh  37m         1 

13h  ssm 

I'Sh  29m 

13h  25m 

i3h  21m 

s   ' 
0    45 

10h2Sm    155°  | 

iOh  27m     156° 

IQh  3im     157° 

IQh  35m     158° 

lOh  39m     159° 

s 
60 

9.98040 

0.95588 

9.98200 

0.95940 

9.98352 

0.96277 

9.98498 

0.96600 

9.98637 

0.96910 

4  46 

.98043 

.95594 

.98202 

.95945 

.98355 

.962S3 

.98500 

.96606 

.98639 

.96915 

56 

«  47 

.98046 

.95600 

.98205 

.95951 

.98357 

.96288 

.98503 

.96611 

.98641 

.96920 

52 

12    48 

.98049 

.95606 

.98208 

.95957 

.98360 

.96294 

.98505 

.96616 

.98643 

.96925 

48 

i6  49 

9.98051 

0.95612 

9.98210 

0.95962 

9.98362 

0.96299 

9.98507 

0.96621 

9.98646 

0.96930 

44 

fO  60 

.98054 

.95618 

.98213 

.95968 

.98365 

.96305 

.98510 

.96627 

.98648 

.96935 

40 

24    61 

.98057 

.95624 

.98215 

.95974 

.98367 

.96310 

.98512 

.96632 

.98650 

.96940 

36 

;?5  62 

.98059 

.95630 

.98218 

.95980 

.98370 

.96315 

.98514 

.96637 

.98652 

.96945 

32 

32    63 

9.98062 

0.95636 

9.98221 

0.95985 

9.98372 

0.96321 

9.98517 

0.96642 

9.98655 

0.96950 

28 

56  54 

.98065 

.95642 

.98223 

.95991 

.98375 

.96326 

.98519 

.96648 

.98657 

.96955 

24 

40  55 

.98067 

.95648 

.98226 

.95997 

.98377 

.96332 

.98521 

.96653 

.98659 

.96960 

20 

U    56 

.98070 

.95654 

.98228 

.96002 

.98379 

.96337 

.98524 

.96658 

.98661 

.96965 

16 

45  57 

9.980F3 

0.95660 

9.98231 

0.96008 

9.98382 

0.96343 

9.98526 

0.96663 

9.98664 

0.96970 

12 

52    58 

.98076 

.95665 

.98233 

.96014 

.98384 

.96348 

.98529 

.96669 

.98666 

.96975 

8 

56  59 

.98078 

.95671 

.98236 

.96020 

.98387 

.96354 

.98531 

.96674 

.98668 

.96980 

4 

60  60 

9.98081 

0.95677 

9.98239 

0.96025 

9.98389 

0.96359 

9.98533 

0.96679  9.98670  1 

0.96985 

0 

13^  36^         1 

13h  32m 

13h  28m         1 

13h24m          1     13h2am          \ 

TABLE  IV.                 IPage  151 

HavereineB. 

3      '. 

IQh  40m     160° 

lOh  44m     161° 

lOh  48^     163° 

lOh  52rn     163° 

10h56m     164° 

s 

Log.  Hav. 

Nat.  Hav. 
0.96986 

Log.  llav. 

Nat.  llav. 

Log.  Hav. 

Nat.  Uav. 

Log.  llav.|  Nat.  llav. 

Log.  Hav. 
9.99151 

Nat.  Uav. 

0 

0 

"9798670" 

'9^98861 

0.97376 

9.98924 

0.97553 

9.99041 

0.97815 

0.98063 

60 

4 

1 

.98673 

.96990 

.98803 

.97381 

.98926 

.97557 

.99043 

.97819 

.99152 

.98067 

56 

s 

2 

.98675 

.96995 

.98805 

.97385 

.98928 

.97562 

.99044 

.97834 

.99154 

.98071 

52 

12 

3 

.98677 

.97000 

.98807 

.97390 

.98930 

.97566 

.99046 

.97838 

.99156 

.98075 

48 

16 

4 

9.98679 

0.97005 

9.98809 

0.97395 

9.98932 

0.97571 

9.99048 

0.97833 

9.99158 

0.98079 

44 

20 

5 

.98681 

.97009 

.98811 

.97300 

.98934 

.97575 

.99050 

.97836 

.99159 

.98083 

40 

24 

6 

.98684 

.97014 

.98813 

.97304 

.98936 

.97580 

.99052 

.97841 

.99161 

.98087 

36 

28 

7 

.98686 

.97019 

.98815 

.97309 

.98938 

.97584 

.99054 

.97845 

.99163 

.98091 

3i 

32 

S 

9.98688 

0.97024 

9.98817 

0.97314 

9.98940 

0.97589 

9.99056 

0.97849 

9.99165 

0.98095 

28 

36 

9 

.98690 

.97029 

.98819 

.97318 

.98942 

.97593 

.99058 

.97853 

.99166 

.98099 

24 

40 

10 

.98692 

.97034 

.98822 

.97333 

.98944 

.97598 

.99059 

.97858 

.99168 

.98103 

20 

U 

11 

.98695 

.97039 

.98824 

.97338 

.98946 

.97603 

.99061 

.97862 

.99170 

.98107 

16 

48 

13 

9.98697 

0.97044 

9.98826 

0.97332 

9.98948 

0.97606 

9.99063 

0.97866 

9.99172 

0.98111 

12 

52 

13 

.98699 

.97049 

.98828 

.97337 

.98950 

.97611 

.99065 

.97870 

.99173 

.98115 

8 

56 

14 

9.98701 

0.97054 

9.98830 

0.97342 

9.98952 

0.97615 

9.99067 

0.97874 

9.99175 

0.98119 

4 

ISh 19m 

13h  urn 

23h 11m 

13h7m 

13h  sm           1 

s   ' 

lOh  41m     160° 

lOh  45m     161° 

IQh  49m     163° 

lOh  53m     163° 

lOh  37m     164° 

s 

0 

15 

9.98703 

0.97059 

9.98832 

0.97347 

9.98954 

0.97630 

9.99069 

0.97879 

9.99177 

0.98133 

60 

4 

16 

.98706 

.97064 

.98834 

.97351 

.98956 

.97634 

.99071 

.97883 

.99179 

.98137 

56 

8 

17 

.98708 

.97069 

.98836 

.97356 

.98958 

.97639 

.99072 

.97887 

.99180 

.98131 

52 

12 

18 

.98710 

.97074 

.98838 

.97361 

.98960 

.97633 

.99074 

.97891 

.99182 

.98135 

48 

16 

19 

9.98712 

0.97078 

9.98840 

0.97365 

9.98962 

0.97637 

9.99076 

0.97895 

9.99184 

0.98139 

U 

20 

20 

.98714 

.97083 

.98842 

.97370 

.98964 

.97643 

.99078 

.97899 

.99186 

.98143 

40 

24 

21 

.98717 

.97088 

.98845 

.97374 

.98966 

.97646 

.99080 

.97904 

.99187 

.98146 

36 

28 

22 

.98719 

.97093 

.98847 

.97379 

.98968 

.97651 

.99082 

.97908 

.99189 

.98150 

32 

32 

23 

9.98721 

0.97098 

9.98849 

0.97384 

9.98970 

0.97655 

9.99084 

0.97912 

9.99191 

0.98154 

28 

36 

24 

.98723 

.97103 

.98851 

.97388 

.98971 

.97660 

.99085 

.97916 

.99193 

.98158 

24 

40 

25 

.98725 

.97108 

.98853 

.97393 

.98973 

.97664 

.99087 

.97920 

.99194 

.98163 

20 

44 

26 

.98728 

.97113 

.98855 

.97398 

.98975 

.97668 

.99089 

.97924 

.99196 

.98166 

16 

48 

27 

9.98730 

0.97117 

9.98857 

0.97402 

9.98977 

0.97673 

9.99091 

0.97929 

9.99198 

0.98170 

12 

52 

28 

.98732 

.97132 

.98859 

.97407 

.98979 

.97677 

.99093 

.97933 

.99200 

.98174 

8 

56 

29 

9.98734 

0.97127 

9.98861 

0.97413 

9.98981 

0.97681 

9.99095 

0.97937 

9.99201 

0.98178 

4 

1 

ISh ism 

ISh  14m 

ISh  10m 

IShem 

13h  2m           1 

s   ' 

lOh  42m     160° 

lOh  46m     161° 

IQh  50rn     163° 

lOh  54^     163° 

10^  58^     164° 

s 

0 

30 

9.98736 

0.97132 

9.98863 

0.97416 

9.98983 

0.97686 

9.99096 

0.97941 

9.99203 

0.98182 

60 

4 

31 

.98738 

.97137 

.98865 

.97431 

.98985 

.97690 

.99098 

.97945 

.99205 

.98185 

56 

8 

32 

.98741 

.97142 

.98867 

.97425 

.98987 

.97695 

.99100 

.97949 

.99206 

.98189 

52 

12 

33 

.98743 

.97147 

.98869 

.97430 

.98989 

.97699 

.99102 

.97953 

.99208 

.98193 

48 

16 

34 

9.98745 

0.97151 

9.98871 

0.97435 

9.98991 

0.97703 

9.99104 

0.97957 

9.99210 

0.98197 

44 

20 

35 

.98747 

.97156 

.98873 

.97439 

.98993 

.97708 

.99106 

.97962 

.99212 

.98301 

40 

24 

36 

.98749 

.97161 

.98875 

.97444 

.98995 

.97713 

.99107 

.97966 

.99213 

.98305 

36 

28 

37 

.98751 

.97166 

.98877 

.97448 

.98997 

.97716 

.99109 

.97970 

.99215 

.98309 

32 

32 

38 

9.98754 

0.97171 

9.98880 

0.97453 

9.98999 

0.97731 

9.99111 

0.97974 

9.99217 

0.98313 

28 

36 

39 

.98756 

.97176 

.98882 

.97458 

.99001 

.97735 

.99113 

.97978 

.99218 

.98316 

24 

40 

40 

.98758 

.97180 

.98884 

.97463 

.99003 

.97739 

.99115 

.97982 

.99220 

.98330 

20 

44 

41 

.98760 

.97185 

.98886 

.97467 

.99004 

.97734 

.99116 

.97986 

.99222 

.98324 

16 

48 

42 

9.98762 

0.97190 

9.98888 

0.97471 

9.99006 

0.97738 

9.99118 

0.97990 

9.99223 

0.98338 

12 

52 

43 

.98764 

.97195 

.98890 

.97476 

.99008 

.97743 

.99120 

.97994 

.99225 

.98333 

8 

56 

44 

9.98766 

0.97200 

9.98892 

0.97480 

9.99010 

0.97747 

9.99122 

0.97998 

9.99227 

0.98336 

4 

1 

23h  17m 

ISh 13m 

IShgm 

ISh  5m 

ISh  im           1 

s   '1 

lOh  43m     160° 

IQh  47m     161° 

IQh  5im     162° 

IQh  55m     163° 

IQh  59m     164°  1 

a 

0 

45 

9.98769 

0.97304 

9.98894 

0.97485 

9.99012 

0.97751 

9.99124 

0.98002 

9.99229 

0.98339 

60 

4 

46 

.98771 

.97209 

.98896 

.97490 

.99014 

.97755 

.99126 

.98007 

.99230 

.98343 

56 

8 

47 

.98773 

.97314 

.98898 

.97494 

.99016 

.97760 

.99127 

.98011 

.99232 

.98347 

52 

12 

48 

.98775 

.97319 

.98900 

.97499 

.99018 

.97764 

.99129 

.98015 

.99234 

.98351 

48 

16 

49 

9.98777 

0.97334 

9.98902 

0.97503 

9.99020 

0.97768 

9.99131 

0.98019 

9.99235 

0.98355 

U 

20 

50 

98779 

.97338 

.98904 

.97508 

.99022 

.97773 

.99133 

.98023 

.99237 

.98358 

40 

24 

51 

.98781 

.97333 

.98906 

.97513 

.99024 

.97777 

.99135 

.98037 

.99239 

.98363 

36 

28 

52 

.98784 

.97338 

.98908 

.97517 

.99026 

.97781 

.99136 

.98031 

.99240 

.98366 

32 

32 

53 

9.98786 

0.97343 

9.98910 

0.97531 

9.99027 

0.97785 

9.99138 

0.98035 

9.99242 

0.98370 

28 

36 

54 

.98788 

.97347 

.98912 

.97536 

.99029 

.97790 

.99140 

.98039 

.99244 

.98374 

24 

40 

55 

.98790 

.97353 

.98914 

.97530 

.99031 

.97794 

.99142 

.98043 

.99245 

.98377 

20 

U 

56 

.98792 

.97357 

.98916 

.97535 

.99033 

.97798 

.99143 

.98047 

.99247 

.98381 

16 

48 

57 

9.98794 

0.97363 

9.98918 

0.97539 

9.99035 

0.97803 

9.99145 

0.98051 

9.99249 

0.98385 

12 

52 

58 

.98796 

.97366 

.98920 

.97544 

.99037 

.97807 

.99147 

.98055 

.99250 

.98389 

8 

56 

59 

.98798 

.97371 

.98922 

.97548 

.99039 

.97811 

.99149 

.98059 

.99252 

.98393 

4 

60 

60 

9.98801 

0.97376 

9.98924 

0.97553 

9.99041 

0.97815 

9.99151 

0.98063 

9.99254 

0.98396 

0 

1 

ISh  l&n         1 

ISh  12m         1 

ISh  gm          1 

ISh  4m          1 

ISh  am        ^ 

Page  162]                 TABLE  IV. 

Haversinee. 

s   ' 

llh  am       165° 

llh  4m       166° 

llh  8m       167° 

llh  12m     168° 

llh  16m     169° 

s 

Log.  Hav. 

Nat.  Hav, 

Lor.  llav. 

Nat.  Uav. 

Log.  Ilav. 

Nat.  Hav. 

Ix)g.  Hav. 

Nat.  Hav. 

Log.  Uav. 

Nat.  Hav. 

0      0 

9.99254 

0.98296 

9.99350 

0.98515 

9.99440 

0.98719 

9.99523 

0.98907 

9.99599 

0.99081 

~60 

4      1 

.99255 

.98300 

.99352 

.98518 

.99441 

.98722 

.99524 

.98910 

.99600 

.99084 

56 

8      % 

.99257 

.98304 

.99353 

.98522 

.99443 

.98725 

.99526 

.98913 

.99602 

.99087 

52 

12      3 

.99259 

.98308 

.99355 

.98525 

.99444 

.98728 

.99527 

.98916 

.99603 

.99090 

48 

16      4 

9.99260 

0.98311 

9.99356 

0.98529 

9.99446 

0.98732 

9.99528 

0.98919 

9.99604 

0.99092 

44 

20      5 

.99262 

.98315 

.99358 

.98532 

.99447 

.98735 

.99529 

.98922 

.99605 

.99095 

40 

24      6 

.99264 

.98319 

.99359 

.98536 

.99448 

.98738 

.99531 

.98925 

.99606 

.99098 

36 

28      7 

.99265 

.98323 

.99361 

.98539 

.99450 

.98741 

.99532 

.98928 

.99608 

.99101 

32 

S2      8 

9.99267 

0.98326 

9.99362 

0.98543 

9.99451 

0.98745 

9.99533 

0.98931 

9.99609 

0.99103 

28 

S6      9 

.99269 

.98330 

.99364 

.98546 

.99453 

.98748 

.99535 

.98934 

.99610 

.99106 

24 

-^0  10 

.99270 

.98334 

.99366 

.98550 

.99454 

.98751 

.99536 

.98937 

.99611 

.99109 

20 

■f^  11 

.99272 

.98337 

.99367 

.98553 

.99456 

.98754 

.99537 

.98940 

.99612 

.99112 

16 

48  n 

9.99274 

0.98341 

9.99369 

0.98557 

9.99457 

0.98757 

9.99539 

0.98943 

9.99614 

0.99114 

12 

52    13 

.99275 

.98345 

.99370 

.98560 

.99458 

.98761 

.99540 

.98946 

.99615 

.99117 

8 

56    14 

9.99277 

0.98349 

9.99372 

0.98564 

9.99460 

0.98764 

9.99541 

0.98949 

9.99616 

0.99120 

4 

12h  59m 

12h  55m 

12h  5im 

Ijh 47m 

12h43m 

s   ' 

llfi  m  _  165° 

llh  5m       166° 

llh  9m       167° 

llh  13m     168° 

llh  17m     169° 

s 

0  15 

9.99278 

0.98352 

9.99373 

0.98567 

9.99461 

0.98767 

9.99543 

0.98952 

9.99617 

0.99123 

60 

4    16 

.99280 

.98356 

.99375 

.98571 

.99463 

.98770 

.99544 

.98955 

.99618 

.99125 

56 

5  17 

.99282 

.98360 

.99376 

.98574 

.99464 

.98774 

.99545 

.98958 

.99620 

.99128 

52 

12    18 

.99283 

.98363 

.99378 

.98577 

.99465 

.98777 

.99546 

.98961 

.99621 

.99131 

48 

^6  19 

9.99285 

0.98367 

9.99379 

0.98581 

9.99467 

0.98780 

9.99548 

0.98964 

9.99622 

0.99133 

44 

;?0  20 

.99287 

.98371 

.99381 

.98584 

.99468 

.98783 

.99549 

.98967 

.99623 

.99136 

40 

f-;  21 

.99288 

.98374 

.99382 

.98588 

.99470 

.98786 

.99550 

.98970 

.99624 

.99139 

36 

£<§  22 

.99290 

.98378 

.99384 

.98591 

.99471 

.98789 

.99552 

.98973 

.99626 

.99141 

32 

S2    23 

9.99291 

0.98382 

9.99385 

0.98595 

9.99472 

0.98793 

9.99553 

0.98976 

9.99627 

0.99144 

28 

56  24 

.99293 

.98385 

.99387 

.98598 

.99474 

.98796 

.99554 

.98979 

.99628 

.99147 

24 

^  25 

.99295 

.98389 

.99388 

.98601 

.99475 

.98799 

.99555 

.98982 

.99629 

.99149 

20 

U    26 

.99296 

.98393 

.99390 

.98605 

.99477 

.98802 

.99557 

.98985 

.99630 

.99152 

16 

^  27 

9.99298 

0.98396 

9.99391 

0.98608 

9.99478 

0.98805 

9.99558 

0.98987 

9.99631 

0.99155 

12 

52    28 

.99300 

.98400 

.99393 

.98611 

.99479 

.98809 

.99559 

.98990 

.99633 

.99157 

8 

56  29 

9.99301 

0.98404 

9.99394 

0.98615 

9.99481 

0.98812 

9.99561 

0.98993 

9.99634 

0.99160 

4 

12^  58m 

12h  54m 

12h  SQm- 

12h 46m 

12h  42m 

s   ' 

llh  2m       165° 

llh  6m       166° 

llh  lom     167° 

llh  14m     168° 

llh  18m     169°  1  s  | 

0    30 

9.99303 

0.98407 

9.99396 

0.98619 

9.99482 

0.98815 

9.99562 

0.98996 

9.99635 

0.99163  60 

4  31 

.99304 

.98411 

.99397 

.98622 

.99484 

.98818 

.99563 

.98999 

.99636 

.99165  56  \ 

8    32 

.99306 

.98415 

.99399 

.98625 

.99485 

.98821 

.99564 

.99002 

.99637 

.99168 

52 

J;?  33 

.99308 

.98418 

.99400 

.98629 

.99486 

.98824 

.99566 

.99005 

.99638 

.99171 

48 

^6  34 

9.99309 

0.98422 

9.99402 

0.98632 

9.99488 

0.98827 

9.99567 

0.99008 

9.99639 

0.99173 

U 

20    35 

.99311 

.98426 

.99403 

.98635 

.99489 

.98830 

.99568 

.99011 

.99641 

.99176 

40 

^4  36 

.99312 

.98429 

.99405 

.98639 

.99490 

.98834 

.99569 

.99014 

.99642 

.99179 

36 

28    37 

.99314 

.98433 

.99406 

.98642 

.99492 

.98837 

.99571 

.99016 

.99643 

.99181 

32 

5^  38 

9.99316 

0.98436 

9.99408 

0.98646 

9.99493 

0.98840 

9.99572 

0.99019 

9.99644 

0.99184 

28 

56  39 

.99317 

.98440 

.99409 

.98649 

.99495 

.98843 

.99573 

.99022 

.99645 

.99186 

24 

40    40 

.99319 

.98444 

.99411 

.98652 

.99496 

.98846 

.99575 

.99025 

.99646 

.99189 

20 

-f^  41 

.99320 

.98447 

.99412 

.98656 

.99497 

.98849 

.99576 

.99028 

.99648 

.99192 

16 

48    42 

9.99322 

0.98451 

9.99414 

0.98659 

9.99499 

0.98852 

9.99577 

0.99031 

9.99649 

0.99194 

12 

5£  43 

.99324 

.98454 

.99415 

.98662 

.99500 

.98855 

.99578 

.99034 

.99650 

.99197 

8 

56  44 

9.99325 

0.98458 

9.99417 

0.98666 

9.99501 

0.98858 

9.99580 

0.99036 

9.99651 

0.99199 

4 

12h  57m 

12h  53m 

12h  49m 

12h 45m 

12h  41m 

s   ' 

llh  sm       165° 

llh  7m       166° 

llh  11m     167° 

llh  15m     168° 

llh  19m     169° 

s 

0    45 

9.99327 

0.98462 

9.99418 

0.98669 

9.99503 

0.98862 

9.99581 

0.99039 

9.99652 

0.99202 

60 

4    46 

.99328 

.98465 

.99420 

.98672 

.99504 

.98865 

.99582 

.99042 

.99653 

.99205 

56 

5  47 

.99330 

.98469 

.99421 

.98676 

.99505 

.98868 

.99583 

.99045 

.99654 

.99207 

52 

i^  48 

.99331 

.98472 

.99422 

.98679 

.99507 

.98871 

.99584 

.99048 

.99655 

.99210 

48 

16    49 

9.99333 

0.98476 

9.99424 

0.98682 

9.99508 

0.98874 

9.99586 

0.99051 

9.99657 

0.99212 

44 

go  50 

.99335 

.98479 

.99425 

.98686 

.99510 

.98877 

.99587 

.99053 

99658 

.99215 

40 

24    51 

.99336 

.98483 

.99427 

.98689 

.99511 

.98880 

.99588 

.99056 

.99659 

.99217 

36 

;g5  52 

.99338 

.98487 

.99429 

.98692 

.99512 

.98883 

.99589 

.99059 

.99660 

.99220 

32 

5;?  53 

9.99339 

0.98490 

9.99430 

0.98696 

9.99514 

0.98886 

9.99591 

0.99062 

9.99661 

0.99223 

28 

S6    54 

.99341 

.98494 

.99431 

.98699 

.99515 

.98889 

.99592 

.99065 

.99662 

.99225 

24 

^  56 

.99342 

.98497 

.99433 

.98702 

.99516 

.98892 

.99593 

.99067 

.99663 

.99228 

20 

U    56 

.99344 

.98501 

.99434 

.98705 

.99518 

.98895 

.99594 

.99070 

.99664 

.99230 

16 

^  57 

9.99345 

0.98504 

9.99436 

0.98709 

9.99519 

0.98898 

9.99596 

0.99073 

9.99666 

0.99233 

12 

5:?  58 

.99347 

.98508 

.99437 

.98712 

.99520 

.98901 

.99597 

.99076 

.99667 

.99235 

8 

56    59 

.99349 

.98511 

.99438 

.98715 

.99522 

.98904 

.99598 

.99079 

.99668 

.99238 

4 

60  60 

9.99350 

0.98515 

9.99440 

0.98719 

9.99523 

0.98907 

9.99599 

0.99081 

9.99669 

0.99240 

0 

12^  56m 

12h  52m         1 

12h  48m          1 

12h  44m         1 

12h  40m          1 

TABLE  IV.                  [Page  153 

Haversines. 

s 

llh20>n       170°  1 

llh24^      171°  I 

llh 28m       172°  [ 

llhS2m      173°  [ 

llhS6m      174°  j 

s 

Log.  Hav. 

Nat.  Ilav. 

Log.  Ilav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0 

0 

9.99669 

0.99340 

9.99732 

0.99384 

9.99788 

0.99513 

9.99838 

0.99627 

9.99881 

0.99726 

60 

4 

1 

.99670 

.99343 

.99733 

.99387 

.99789 

.99515 

.99839 

.99629 

.99882 

.99728 

56 

8 

2 

.99671 

.99345 

.99734 

.99389 

.99790 

.99517 

.99839 

.99631 

.99882 

.99729 

52 

12 

3 

.99672 

.99348 

.99735 

.99391 

.99791 

.99519 

.99840 

.99633 

.99883 

.99731 

48 

16 

4 

9.99673 

0.99350 

9.99736 

0.99393 

9.99792 

0.99531 

9.99841 

0.99634 

9.99884 

0.99732 

U 

20 

S 

.99674 

.99353 

.99737 

.99396 

.99793 

.99533 

.99842 

.99636 

.99884 

.99734 

40 

24 

6 

.99675 

.99355 

.99738 

.99398 

.99793 

.99535 

.99842 

.99638 

.99885 

.99735 

36 

28 

7 

.99677 

.99358 

.99739 

.99400 

.99794 

.99537 

.99843 

.99640 

.99885 

.99737 

32 

S2 

8 

9.99678 

0.99360 

9.99740 

0.99403 

9.99795 

0.99539 

9.99844 

0.99641 

9.99886 

0.99738 

28 

S6 

9 

.99679 

.99363 

.99741 

.99405 

.99796 

.99531 

.99845 

.99643 

.99887 

.99740 

24 

40 

10 

.99680 

.99365 

.99742 

.99407 

.99797 

.99533 

.99845 

.99645 

.99887 

.99741 

20 

U 

11 

.99681 

.99368 

.99743 

.99409 

.99798 

.99535 

.99846 

.99647 

.99888 

.99743 

16 

48 

13 

9.99682 

0.99370 

9.99744 

0.99411 

9.99799 

0.99537 

9.99847 

0.99648 

9.99889 

0.99744 

12 

52 

13 

.99683 

.99373 

.99745 

.99414 

.99800 

.99539 

.99848 

.99650 

.99889 

.99746 

8 

56 

14 

9.99684 

0.99375 

9.99746 

0.99416 

9.99800 

0.99541 

9.99848 

0.99652 

9.99890 

0.99747 

4 

12h  39m         \ 

12h  S5m         1 

12h 3im          1 

12h27m'          \ 

12h  23m         1 

.   ■  1 

llh2im       170°  1 

llh25in       171°  1 

llh  29m       173°  1 

llh  33m      173°  1 

llh  37m       174°  1 

s 

0 

15 

9.99685 

0.99378 

9.99747 

0.99418 

9.99801 

0.99543 

9.99849 

0.99653 

9.9*691 

0.99748 

60 

4 

16 

.99686 

.99380 

.99748 

.99430 

.99802 

.99545 

.99850 

.99655 

.99891 

.99750 

56 

8 

17 

.99687 

.99383 

.99748 

.99433 

.99803 

.99547 

.99851 

.99657 

.99892 

.99751 

52 

12 

18 

.99688 

.99385 

.99749 

.99435 

.99804 

.99549 

.99851 

.99659 

.99893 

.99753 

48 

16 

19 

9.99690 

0.99388 

9.99750 

0.99427 

9.99805 

0.99551 

9.99852 

0.99660 

9.99893 

0.99754 

44 

20 

20 

.99691 

.99390 

.99751 

.99439 

.99805 

.99553 

.99853 

.99662 

.99894 

.99756 

40 

24 

31 

.99692 

.99393 

.99752 

.99431 

.99806 

.99555 

.99854 

.99664 

.99894 

.99757 

36 

28 

33 

.99693 

.99395 

.99753 

.99433 

.99807 

.99557 

.99854 

.99665 

.99895 

.99759 

32 

S2 

33 

9.99694 

0.99397 

9.99754 

0.99436 

9.99808 

0.99559 

9.99855 

0.99667 

9.99896 

0.99760 

28 

36 

34 

.99695 

.99300 

.99755 

.99438 

.99809 

.99561 

.99856 

.99669 

.99896 

.99761 

24 

40 

35 

.99696 

.99303 

.99756 

.99440 

.99810 

.99563 

.99857 

.99670 

.99897 

.99763 

20 

U 

36 

.99697 

.99305 

.99757 

.99443 

.99811 

.99565 

.99857 

.99672 

.99897 

.99674 

16 

48 

37 

9.99698 

0.99307 

9.99758 

0.99444 

9.99811 

0.99567 

9.99858 

0.99674 

9.99898 

0.99766 

12 

52 

28 

.99699 

.99309 

.99759 

.99446 

.99812 

.99568 

.99859 

.99675 

.99899 

.99767 

8 

56 

29 

9.99700 

0.99313 

9.99760 

0.99449 

9.99813 

0.99570 

9.99859 

0.99677 

9.99899 

0.99768 

4 

121  SS^- 

12^34'^      >" 

12h 30m 

12h  26m 

12h 22m 

s      -1 

llh22m       170° 

llh26m       171° 

llhsom        173° 

llh  34m       173° 

llh  38m       174° 

3 

0 

30 

9.99701 

0.99314 

9.99761 

0.99451 

9.99814 

0.99572 

9.99860 

0.99679 

9.99900 

0.99770 

60 

4 

31 

.99702 

.99317 

.99762 

.99453 

.99815 

.99574 

.99861 

.99680 

.99901 

.99771 

56 

8 

32 

.99703 

.99319 

.99763 

.99455 

.99815 

.99576 

.99862 

.99682 

.99901 

.99773 

52 

12 

33 

.99704 

.99331 

.99764 

.99457 

.99816 

.99578 

.99862 

.99684 

.99902 

.99774 

48 

16 

34 

9.99705 

0.99334 

9.99765 

0.99459 

9.99817 

0.99580 

9.99863 

0.99685 

9.99902 

0.99775 

44 

20 

35 

.99706 

.99336 

.99766 

.99461 

.99818 

.99583 

.99864 

.99687 

.99903 

.99777 

40 

24 

36 

.99707 

.99339 

.99766 

.99464 

.99819 

.99584 

.99864 

.99688 

.99904 

.99778 

36 

28 

37 

.99708 

.99331 

.99767 

.99466 

.99820 

.99585 

.99865 

.99890 

.99904 

.99780 

32 

32 

38 

9.99710 

0.99333 

9.99768 

0.99468 

9.99820 

0.99587 

9.99866 

0.99692 

9.99905 

0.99781 

28 

36 

39 

.99711 

.99336 

.99769 

.99470 

.99821 

.99589 

.99867 

.99693 

.99905 

.99782 

24 

40 

40 

.99712 

.99338 

.99770 

.99473 

.99822 

.99591 

.99867 

.99695 

.99906 

.99784 

20 

44 

41 

.99713 

.99340 

.99771 

.99474 

.99823 

.99593 

.99868 

.99696 

.99906 

.99785 

16 

48 

42 

9.99714 

0.99343 

9.99772 

0.99476 

9.99824 

0.99595 

9.99869 

0.99698 

9.99907 

0.99786 

12 

52 

43 

.99715 

.99345 

.99773 

.99478 

.99824 

.99597 

.99869 

.99700 

.99908 

.99788 

8 

56 

44 

9.99716 

0.99347 

9.99774 

0.99480 

9.99825 

0.99598 

9.99870 

0.99701 

9.99908 

0.99789 

4 

12h  S7m 

12h  33m 

12h 29m 

12h  25m 

12h  21m 

s   ' 

llh23m       170° 

llh  27m       171° 

llh  Sim       173° 

llhssm       173° 

llh  39m       174° 

a 

0 

45 

9.99717 

0.99350 

9.99774 

0.99483 

9.99826 

0.99600 

9.99871 

0.99703 

9.99909 

0.99790 

60 

4 

46 

.99718 

.99353 

.99775 

.99485 

.99827 

.99603 

.99871 

.99704 

.99909 

.99793 

56 

8 

47 

.99719 

.99354 

.99776 

.99487 

.99828 

.99604 

.99872 

.99706 

.99910 

.99793 

52 

12 

48 

.99720 

.99357 

.99777 

.99489 

.99828 

.99606 

.99873 

.99708 

.99911 

.99794 

48 

16 

49 

9.99721 

0.99359 

9.99778 

0.99491 

9.99829 

0.99608 

9.99874 

0.99709 

9.99911 

0.99796 

U 

.  20 

50 

.99722 

.99361 

.99779 

.99493 

.99830 

.99609 

.99874 

.99711 

.99912 

.99797 

40 

24 

51 

.99723 

.99364 

.99780 

.99495 

.99831 

.99611 

.99875 

.99712 

.99912 

.99798 

36 

28 

52 

.99724 

.99366 

.99781 

.99497 

.99832 

.99613 

.99876 

.99714 

.99913 

,99799 

32 

32 

53 

9.99725 

0.99368 

9.99782 

0.99499 

9.99832 

0.99615 

9.99876 

0.99715 

9.99913 

0.99801 

28 

36 

54 

.99726 

.99371 

.99783 

.99501 

.99833 

.99617 

.99877 

.99717 

.99914 

,99802 

24 

40 

55 

.99727 

.99373 

.99784 

.99503 

.99834 

.99618 

.99878 

.99719 

.99915 

.99803 

20 

44 

56 

.99728 

.99375 

.99785 

.99505 

.99835 

.99630 

.99878 

.99720 

.99915 

.99805 

16 

48 

57 

9.99729 

0.99378 

9.99786 

0.99507 

9.99836 

0.99623 

9.99879 

0.99722 

9.99916 

0,99806 

12 

52 

58 

.99730 

.99380 

.99786 

.99509 

.99836 

.99624 

.99880 

.99723 

,99916 

.99807 

8 

56 

59 

.99731 

.99383 

.99787 

.99511 

.99837 

.99626 

.99880 

.99725 

.99917 

.9S808 

4 

60 

60 

9.99732 

0.99384 

9.99788 

0.99513 

9.99838 

0.99627 

9.99881 

0.99726 

9.99917 

0.99810 

0 

12^36^ 

if  ft  32m 

12h  28m 

12h  24"^ 

12h20'n 

Page  154]                  TABLE  IV. 

Havereines. 

3     ' 

llh  40m       175° 

llh  44m       176° 

llh  48m       1770 

llh  52m       178° 

llh  56m       179°  | 

s 
60 

Log.  Hav. 

Nat.  Hav  J 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

Log.  Hav. 

Nat.  Hav. 

0      0 

9.99917 

0.99810 

9.99947 

0.99878 

9.99970 

0.99931 

9.99987 

0.99970 

9.99997 

0.99992 

4      1 

.99918 

.99811 

.99948 

.99879 

.99971 

.99933 

.99987 

.99971 

.99997 

.99993 

56 

8      2 

.99918 

.99812 

.99948 

.99880 

.99971 

.99933 

.99987 

.99971 

.99997 

.99993 

52 

12      3 

.99919 

.99814 

.99948 

.99881 

.99971 

.99934 

.99987 

.99971 

.99997 

.99993 

48 

16      4 

9.99919 

0.99815 

9.99949 

0.99883 

9.99972 

0.99934 

9.99988 

0.99972 

9.99997 

0.99994 

44 

20      5 

.99920 

.99816 

.99949 

.99883 

.99972 

.99935 

.99988 

.99972 

.99997 

.99994 

40 

24      6 

.99921 

.99817 

.99950 

.99884 

.99972 

.99936 

.99988 

.99973 

.99997 

.99994 

36 

28      7 

.99921 

.99819 

.99950 

.99885 

.99973 

.99937 

.99988 

.99973 

.99997 

.99994 

32 

5f   8 

9.99922 

0.99820 

9.99951 

0.99886 

9.99973 

0.99937 

9.99988 

0.99973 

9.99998 

0.99994 

28 

36      9 

.99922 

.99831 

.99951 

.99887 

.99973 

.99938 

.99989 

.99974 

.99998 

.99995 

24 

40  10 

.99923 

.99822 

.99951 

.99888 

.99973 

.99939 

.99989 

.99974 

.99998 

.99995 

20 

■44  11 

.99923 

.99823 

.99952 

.99889 

.99974 

.99940 

.99989 

.99975 

.99998 

.99995 

16 

48    12 

9.99924 

0.99835 

9.99952 

0.99890 

9.99974 

0.99940 

9.99989 

0.99975 

9.99998 

0.99995 

12 

5^  13 

.99924 

.99836 

.99953 

.99891 

.99974 

.99941 

.99989 

.99976 

.99998 

.99995 

8 

56     14 

9.99925 

0.99837 

9.99953 

0.99893 

9.99975 

0.99943 

9.99990 

0.99976 

9.99998 

0.99996 

4 

12h  19m 

12h 15m 

12h  lim 

12h7m 

12h3m 

s   ' 

llh  4im       175° 

llh  45m       176° 

llh  49m       177 

llh  53m       178° 

llh  57m       179° 

s 

0  15 

9.99925- 

f  0.99838 

9.99953 

0.99893 

9.99975 

0.99943 

9.99990 

0.99977 

9.99998 

0.99996 

60 

4    16 

.99926 

.99839 

.99954 

.99894 

.99975 

.99943 

.99990 

.99977 

.99998 

.99996 

56 

5  17 

.99926 

.99831 

.99954 

.99895 

.99976 

.99944 

.99990 

.99978 

.99998 

.99996 

52 

12    18 

.99927 

.99833 

.99954 

.99896 

.99976 

.99944 

.99990 

.99978 

.99998 

.99996 

48 

i6  19 

9.99927 

0.99833 

9.99955 

0.99897 

9.99976 

0.99945 

9.99991 

0.99978 

9.99998 

0.99996 

44 

fO  20 

.99928 

.99834 

.99955 

.99898 

.99976 

.99946 

.99991 

.99979 

.99999 

.99997 

40 

24    21 

.99928 

.99835 

.99956 

.99899 

.99977 

.99947 

.99991 

.99979 

.99999 

.99997 

36 

f5  22 

.99929 

.99837 

.99956 

.99900 

.99977 

.99947 

.99991 

.99980 

.99999 

.99997 

32 

32    23 

9.99929 

0.99838 

9.99957 

0.99900 

9.99977 

0.99948 

9.99991 

0.99980 

9.99999 

0.99997 

28 

56  24 

.99930 

.99839 

.99957 

.99901 

.99978 

.99949 

.99992 

.99981 

.99999 

.99997 

24 

40  25 

.99931 

.99840 

.99958 

.99903 

.99978 

.99949 

.99992 

.99981 

.99999 

.99997 

20 

44  26 

.99931 

.99841 

.99958 

.99903 

.99978 

.99950 

.99992 

.99981 

.99999 

.99998 

16 

45  27 

9.99932 

0.99842 

9.99958 

0.99904 

9.99978 

0.99950 

9.99992 

0.99982 

9.99999 

0.99998 

12 

52    28 

.99932 

.99844 

.99959 

.99905 

.99979 

.99951 

.99992 

.99982 

.99999 

.99998 

8 

56  29 

9.99933 

0.99845 

9.99959 

0.99906 

9.99979 

0.99953 

9.99992 

0.99982 

9.99999 

0.99998 

4 

i2h ism 

12h  14m 

12h  lOm         1 

12h  6m 

12h2m 

s   ' 

llh  42m       175° 

llh  46m       176° 

llh  5am       177° 

llh  54m       178° 

llh  58m       179° 

a 

0    30 

9.99933 

0.99846 

9.99959 

0.99907 

9.99979 

0.99953 

9.99993 

0.99983 

9.99999 

0.99998 

60 

4  31 

.99934 

.99847 

.99960 

.99908 

.99980 

.99953 

.99993 

.99983 

.99999 

.99998 

56 

8    32 

.99934 

.99848 

.99960 

.99909 

.99980 

.99954 

.99993 

.99984 

.99999 

.99998 

52 

if  33 

.99935 

.99849 

.99961 

.99909 

.99980 

.99954 

.99993 

.99984 

.99999 

.99998 

48 

i6  34 

9.99935 

0.99850 

9.99961 

0.99910 

9.99980 

0.99955 

9.99993 

0.99984 

9.99999 

0.99999 

44 

20    35 

.99935 

.99851 

.99961 

.99911 

.99981 

.99956 

.99993 

.99985 

.99999 

.99999 

40 

;g4  86 

.99936 

.99853 

.99962 

.99912 

.99981 

.99956 

.99994 

.99985 

9.99999 

.99999 

36 

28    37 

.99936 

.99854 

.99962 

.99913 

.99981 

.99957 

.99994 

.99985 

0.00000 

.99999 

32 

5:?  38 

9.99937 

0.99855 

9.99963 

0.99914 

9.99981 

0.99957 

9.99994 

0.99986 

0.00000 

0.99999 

28 

56  39 

.99937 

.99856 

.99963 

.99915 

.99982 

.99958 

.99994 

.99986 

.00000 

.99999 

24 

40    40 

.99938 

.99857 

.99963 

.99915 

.99982 

.99959 

.99994 

.99986 

.00000 

.99999 

20 

44  41 

.99938 

.99858 

.99964 

.99916 

.99982 

.99959 

.99994 

.99987 

.00000 

.99999 

16 

48    42 

9.99939 

0.99859 

9.99964 

0.99917 

9.99983 

0.99960 

9.99994 

0.99987 

0.00000 

0.99999 

12 

5:2  43 

.99939 

.99860 

.99964 

.99918 

.99983 

.99960 

.99995 

.99987 

.00000 

.99999 

8 

56  44 

9.99940 

0.99861 

9.99965 

0.99919 

9.99983 

0.99961 

9.99995 

0.99988 

0.00000 

0.99999 

4 

12h 17m 

12h  13m 

12h9m 

12h5m 

12h  im 

s   ' 

llh  43m       175° 

llh  47m       170° 

llhsim       177° 

llh  55m       178° 

llh  59m       179° 

s 

0  45 

9.99940 

0.99863 

9.99965 

0.99930 

9.99983 

0.99961 

9.99995 

0.99988 

0.00000 

1.00000 

60 

4  46 

.99941 

.99864 

.99965 

.99930 

.99983 

.99962 

.99995 

.99988 

.00000 

.00000 

56 

,5  47 

.99941 

.99865 

.99966 

.99931 

.99984 

.99963 

.99995 

.99989 

.00000 

.00000 

52 

J?f  48 

.99942 

.99866 

.99966 

.99933 

.99984 

.99963 

.99995 

.99989 

.00000 

.00000 

48 

16    49 

9.99942 

0.99867 

9.99966 

0.99933 

9.99984 

0.99964 

9.99995 

0.99989 

0.00000 

1.00000 

44 

fO  50 

.99943 

.99868 

.99967 

.99934 

.99984 

.99964 

.99996 

.99990 

.00000 

.00000 

40 

24    51 

.99943 

.99869 

.99967 

.99934 

.99985 

.99965 

.99996 

.99990 

.00000 

.00000 

36 

f5  52 

.99943 

.99870 

.99968 

.99935 

.99985 

.99965 

.99996 

.99990 

.00000 

.00000 

32 

■Sf  53 

9.99944 

0.99871 

9.99968 

0.99936 

9.99985 

0.99966 

9.99996 

0.99991 

0.00000 

1.00000 

28 

36    54 

.99944 

.9987% 

.99968 

.99937 

.99985 

.99966 

.99996 

.99991 

.00000 

.00000 

24 

40  55 

.99945 

.99873 

.99969 

.99928 

.99986 

.99967 

.99996 

.99991 

.00000 

.00000 

20 

44    56 

.99945 

.99874 

.99969 

.99938 

.99986 

.99967 

.99996 

.99991 

.00000 

.00000 

16 

45  57 

9.99946 

0.99875 

9.99969 

0.99939 

9.99986 

0.99968 

9.99996 

0.99992 

0.00000 

1.00000 

12 

52  58 

.99946 

.99876 

.99970 

.99930 

.99986 

.99969 

.99996 

.99993 

.00000 

.00000 

8 

56    59 

.99947 

.99877 

.99970 

.99931 

.99987 

.99969 

.99997 

.99993 

.00000 

.00000 

4 

60  60 

9.99947 

0.99878 

9.99970 

0.99931 

9.99987 

0.99970 

9.99997 

0.99992 

0.00000 

1.00000 

0 

12h  16m          1 

12h  12m          1 

12h  gm          1 

12h  4m          1 

12h&m           1 

TO  FIND  THE  HOUR  ANGLE 


CROSSING  THE  PRIME  VERTICAL 


Mark  the  latitude  on  the  latitude 
scale  at  the  left-hand  boundary  and, 
with  a  pair  of  compasses,  take  out  the 
horizontal  distance  from  that  point  to 
the  curve  whose  number  represents 
the  declination,  7\ppiy  this  distance  to 
the  scale  of  hour  angles,  and  the  re- 
sulting reading,  taken  in  the  same 
manner  as  the  divisions  and  propor- 
tional  parts  are  read  from  the  ordinary 
diagonal  scale  of  equal  parts,  will  be 
the  hour  angle  of  crossing  the  prime 
vertical. 

ILLUSTRATION 

From  the  second  example  at  the  be« 
ginning  of  this  book — 

L,  the  latitude=S.34°10' 
d,  the  declination =S.  16°  36 

The  i'me  of  dashes  (a  b)  indicates  the 
horizontal  distance  from  (a),  the  point 
on  the  latitude  scale  marking  the  lati- 
tude 34°  10'  to  (b),  the  point  between 
the  declination  curve  16°  -and  the  dec- 
lination curve  17°  marking  the  declina- 
tion 16°  36'.  The  distance  (a  b),  being 
applied  to  the  scale  of  hour  angles, 
gives  the  reading  4"  16""  as  the  value 
of  the  hour  angle  of  crossing  the  prime 
vertical. 


n  \\  \\ 

Hoiir  Angles 

< 

m¥? 

h=w=M 



« 

WWW 

I0»      «»-      io»      C 

»                      1 

'                     i 

h 

»*• 

k» 

•• 

55901°— 18.    (To  face  page  156.) 


TABLE  V 

FOR  FINDING  THE  AZIMUTH 


RULE. 


Take  out  the  tabulated  number  corresponding  to  the  ^iven  declination  and  hour-angle,  then  find 
this  number  again  in  that  declination  column  which  has  at  its  head  a  value  equal  to  the  altitude,  and, 
in  the  hour-angle  column,  opposite  to  the  number  thus  found  again  in  the  declination  column,  will  be 
the  required  azimuth. 

MARKING   THE    AZIMUTH. 

The  azimuth  found  from  the  table  is  always  marked  east  (E.)  or  west  (W.)  according  as  the  observed 
body  is  to  the  eastward  or  westward  of  the  meridian  of  the  observer. 

If  the  latitude  and  decUnation  are  of  different  name  the  azimuth  is  marked  from  the  pole  of  opposite 
name  to  the  latitude. 

If  the  latitude  and  declination  are  of  the  same  name  and  the  latitude  is  less  than  the  declination, 
the  azimuth  is  marked  from  the  pole  of  the  same  name  as  the  latitude.  If  the  latitude  and  declination 
are  of  the  same  name  and  the  latitude  is  greater  than  the  declination,  the  azimuth  is  marked  from  the 
pole  of  the  same  name  as  the  latitude  when  the  hour-angle  is  greater  than  the  hour-angle  of  crossing  the 
prime  vertical,  and  from  the  pole  of  opposite  name  when  the  hour-angle  is  less  than  the  hour-angle  of 
crossing  the  prime  vertical.  The  hour-angle  of  crossing  the  prime  vertical  may  be  found  from  the 
diagram  facing  this  page. 

ILLUSTRATION. 

From  the  first  example  worked  at  the  beginning  of  this  book — 
d,  the  decltnation=S.  21°  19'. 
t,  the  hour-angle=3A    30"»    11*. 
h,  the  calculated  altitude=17°  53'. 
Take  out  the  tabulated  number  corresponding  to  the  declination  21°  19'  and  the  hour-angle  3^  30'", 
which  is  9.86885.     Then  in  that  declination  column  which  has  at  its  head  a  value  equal  to  the  altitude, 
17°  53'  or,  to  the  nearest  degree,  18°,  find  the  number  9.86885  again,  and  opposite  to  it  in  the  hour-angle 
column  will  be  51°,  which  is  the  azimuth  reckoned  from  the  south  pole  toward  the  eastward,  S.  51°  E. 


155 


Page  156] 

TABLE  V. 

The  Finding  of  the  Azimuth. 

3-2 

S83§£32 

01>00(NCO 
C4  C^l  CSicO  CO 

O'TOOC^  CO 
-T-  -f<  1"  >0  >0 

O-f  ooc^  o 

O  OO  1-1  i-( 

O-)"00CVl  CO 
CM  CM  <N  CO  CO 

O-f'OOCM  O 

*j^  -^  -^  to  to 

O  -f  CO  c^  o 
OOOi-ii-i 
«  CM  (N  CM  CM 

CMCMCMCOW 
CM  CM  e<  CM  CM 

C^  CM  CM  CM  CM  CO 

0   OT-<«eO'»«< 

>ocot^ooo» 

O— KNCO-r 

1/5  CO  r~  ooo 

g?5i5ss; 

ssfiss 

O— ■CMCO'*" 
CO  CO  CO  CO  CO 

lOOt^OCO 

CO  CO  CO  CO  CO 

O -H  CM  CO  nfi  "O 

■^  11**  "tl  -"tl  -^  "^ 

o 

•  r-t 

0) 

© 
h 

—  OO 

2390G 
54002 
71600 
84078 

93750 
01043 
08309 
1407G 
19153 

23687 
27780 
31608 
34929 
38088 

41020 
43754 
46314 
48718 
60984 

53125 
55163 
57078 
58908 
60651 

62315 
63904 
65425 

66881 
68277 

69617 
70904 
72141 
73331 
74476 

75579 
76642 
77G0G 
78654 
79007 

80527 
81414 
82271 
83098 
83897 
84669 

00  00  00  00 

OOO  OO  o 

OOOOO 

OOOOO 

o  o  o  o  o 

o  o  o  o  o 

OOOOO 

OOOOO 

o>a3a>o>a>o>     1 

b 
o 

to 

—  00 

23947 
54043 
71G41 
84119 

93791 
01084 
0S350 
14117 
19194 

23728 
27821 
31549 
34970 
38129 

41061 
43795 
40355 
48769 
51025 

53166 
55194 
57119 
58949 
60092 

62356 
G3945 
65466 
66922 
68318 

69658 
70945 
72182 
73372 
74617 

75020 
70G83 
77707 
78695 
79048 

805G8 
81455 
82312 
83139 
83938 
84710 

00  00  oooo 

00  OOO  o 

o  O  O  f^  o 

OOOOO 

OOOOO 

o  o  o  o  o 

OS  o  o  o  o 

o  o  o  o  o 

OOOOOO       1 

b 

"5 

—  OO 

239SG 
54082 
71080 
84158 

93830 
01723 
0S389 
14150 
19233 

23767 
27860 
31588 
35009 
381G8 

41100 
43834 
40394 
48798 
510G4 

63205 
55233 
67168 
58988 
60731 

62395 
63984 
65605 
66961 
68357 

69G97 
70984 
72221 
734  U 
74566 

75059 
70722 
77746 
78734 
79687 

80007 
81494 
82351 
83178 
83977 
84749 

00  00  00  00 

ooc3>ai050 

o  o  o  o  o 

OOOOO 

aa^aia^a 

OOOOO 

OOOOO 

o  o  o  o  o 

aa><s>a>ao>     ■ 

1 

°-5 

—  OO 

24020 
54116 
71714 
84192 

93864 
01707 
08423 
14190 
192G7 

23801 
27894 
31022 
35043 
38202 

41134 

43868 
46428 
48832 
51098 

53239 
552G7 
57192 
59022 
60765 

62429 
64018 
65539 
60995 
68391 

69731 
71018 
72255 
73445 
74590 

76093 
90766 
77780 
787C8 
79721 

80641 
81528 
82385 
83212 
84011 
84783 

00  00  00  CO 

00  OOOO 

OOOOO 

OOOOO 

o  ooo  o 

OOOOO 

o  o  o  o  o 

OOOOO 

OOOOOO       1 

§ 

^ 

—  00 

24062 
64148 
71740 
84224 

9389G 
01789 
08455 
14222 
19299 

23833 
27920 
31054 
35076 
38234 

411GG 
43900 
464G0 
48804 
51130 

53271 
55299 
67224 
59064 
G0797 

62461 
64050 
65571 
67027 
68423 

69763 
71050 
72287 
73477 
74G22 

75725 
70788 
77812 
78800 
79753 

80G73 
81560 
82417 
83244 
84043 
84815 

00  oooo  00 

00  o  o  o  o 

OOOOO 

o  o  ooo 

o  o  o  o  o 

O  O  OO  o 

o  o  o  o  o 

o  o  o  o  o 

o  o  ^  ^  o  o      1 

b 

o 

—  OO 

24080 
54176 
71774 
84252 

93924 
01817 
08483 
14250 
19327 

23801 
27954 
31G82 
35103 
38262 

41194 

43928 
4G488 
48892 
61168 

63299 
65327 
57252 
59082 
60825 

62489 
G4078 
G5699 
67055 
68451 

69791 
71078 
72315 
73605 
74650 

75763 
70816 
77840 
78828 
79781 

80701 
81588 
82445 
83272 
84071 
84843 

00  00  00  00 

C30  O  O  O  OS 

o  oooo 

OOOOO 

o  o  o  o  o 

OOO  o  o 

OOOOO 

o  ooo  o 

o  o  ooo  o     1 

—  CO 

24105 
54201 
71799 
84277 

93949 
01842 
08508 
14275 
19352 

23886 
27979 
31707 
36128 
38287 

41219 
43963 
40513 
48917 
61183 

63324 
55352 
67277 
69107 
60850 

62514 
64103 
65624 
67080 
68476 

09816 
71103 
72340 
73530 

74675 

75778 

7G841 
77865 
78853 
7980G 

80726 
81613 
82470 
83297 
84096 
84868 

00  00  00  00 

CO  002  05  05 

OOOOO 

o  o  o  o  o 

o  o  o  o  o 

O  O  O  O  OS 

OOOOO 

o  o  o  o  o 

OS  o  o  o  o  o      1 

1 

—  OO 

24 120 
54222 
71820 
84298 

93970 
01803 
08529 
1429G 
19373 

23907 
28000 
31728 
35149 
38308 

41240 
43974 
40634 
48938 
61204 

53345 
56373 
57298 
59128 
60871 

62625 
64124 
06645 
67101 
68497 

69837 
71124 
72361 
73651 
74696 

75799 

70862 
77886 
78874 
79827 

80747 
81034 
82491 
83318 
84117 
84889 

oooo  00  00 

OOOOOO 

OOOOO 

OOOO  o 

OOOOO 

o  o  o  o  o 

OOOOO 

o  o  o  o  o 

O  O  O  O  O  O       1 

b 

—  OO 

24145 
64241 
71839 
84317 

93989 
01882 
08548 
14315 
19392 

2392G 
28019 
31747 
35168 
38327 

41269 
43993 
40653 
48957 
51223 

53364 
55392 
57317 
59147 
60890 

62554 

64143 
65664 
671 20 
68516 

69856 
71143 
72380 
73570 
74715 

75818 

7G8S1 
77905 
78893 
7984G 

807G6 
81063 
82510 
83337 
84136 
84908 

00  00  00  00 

OOOOOO 

o  o  o  o  o 

o  o  o  o  o 

o  o  o  o  o 

OOOOO 

o  o  o  o  o 

o  o  o  o  o 

o  o  o  o  o  o     1 

—  00 

24160 
54266 
71854 
84332 

94004 
01897 
08563 
14330 
19407 

23941 
28034 
31762 
35183 
38342 

41274 
44008 
46568 
48972 
51238 

53379 
55407 
67332 
69162 
60905 

62569 
64158 
66679 
67135 
68531 

69871 
71158 
72395 
73585 
74730 

76833 

70896 
77920 
78908 
79861 

80781 
81008 
82526 
83362 
84151 
84923 

00  00  00  00 

OOOOOO 

o  o  o  o  o 

o  o  o  o  o 

a  o  o  o  o 

o  o  o  o  o 

OOOOO 

o  o  o  o  o 

o  oooo  o      1 

—  OO 

24171 
542G7 
718G6 
84343 

94015 
01908 
08574 
14341 
19418 

23952 
28045 
31773 
35194 
38353 

41285 
44019 
46679 
48983 
61249 

53390 
65418 
67343 
69173 
60916 

62580 
64109 
05690 
67146 
68542 

69882 
71169 
72406 
73596 
74741 

75844 
70907 
77931 
78919 
79872 

80792 
81079 
82530 
83303 
84162 
84934 

00  00  00  00 

OOOOOO 

O  OOO  o 

o  o  o  o  o 

OS  OOO  o 

OOOOO 

OOOOO 

o  ooo  o 

OOOOOO        1 

— OO 

24179 
64275 
71873 
84351 

94023 
01916 
08682 
14349 
19426 

23960 
28053 
31781 
35202 
38361 

41293 

44027 
46587 
48991 
51257 

53398 
65426 
57351 
59181 
60924 

62588 
64177 
66098 
67154 
68550 

69890 
71177 
72414 
73604 
74749 

75862 
70915 
77939 

78927 
79880 

80800 
81087 
82544 
83371 
84170 
84942 

00  00  00  00 

00  o  o  o  o 

o  o  ocs  o 

o  ooo  o 

o  o  o  o  o 

OOOOO 

o  o  o  o  o 

OOOOO 

oaaxxaa^ 

—00 

24184 
54280 

71878 
84366 

94028 
01921 
08587 
14354 
19431 

23965 
28058 
31786 
35207 
38366 

41298 
44032 
46592 
48996 
51262 

53403 
55431 
57356 
59186 
60929 

62593 
64182 
65703 
67159 
68565 

69895 
71182 
72419 
73009 
74764 

76857 
70920 
77944 
78932 
79885 

80805 
81092 
82549 
8337G 
84176 
84947 

00  00  00  00 

00  OOO  o 

OOOOO 

OOOOO 

OOOOO 

OOOOO 

o  o  o  o  o 

OOOOO 

...... 

o 

— OO 

24186 
64282 
71880 
84368 

94030 
01923 
08699 
14356 
19433 

23907 
28060 
31788 
35209 
383G8 

41300 
44034 
46594 
48998 
51204 

53405 
56133 
57358 
59188 
60931 

62695 
64184 
65705 
67161 
68557 

69S97 
71184 
72421 
73611 
74766 

75859 
70922 
77946 
78934 
79887 

80807 
81694 
82551 
83378 
84177 
84949 

00  00  oooo 

ooo  OO  o 

OOOOO 

o  o  o  o  o 

OOOOO 

OOOOO 

OOOOO 

o  o  o  o  o 

o  o  o  o  o  o 

Hour 

< 

o    Oi-clNCO-Tji 

«5  CO  l^  00  O 

O-HNCO'*" 

W3COt~000 

sssgss 

sssss 

CO  CO  CO  CO  CO 

toot- ooo 

CO  CO  CO  CO  CO 

O  i-H  CO  CO  Tf*  to 

^  ^  1^  ^  ^  -^ 

tH  1-1  1-1  i-(  t-t 

l-<  1-1 1-<  1-1 1-1 

S^cscoco 

s^^ss 

o-f  ooe^ico 

ooo  i-irt 

O  't'OOCM  o 
CM  CM  Oi  CO  CO 

O-fOC  CMCO 

O-^  GO  CM  CO 

Soort-H 

CM  C«  CM  CM  CM 

CMCqCMC^CM 

O  -^  OOCM  OO 
Tf  -^  -^fi  to  to  o 

TABLE  V. 

The  Finding  of  the  Azimuth. 

Page  157] 

"I 

c  o  -!r  00  c-1  CO 
S  OOO— I-H 

»<  CO  CO  CO  CO  CO 

O-rP  00  cs  CO 
CSCS  csco  CO 

CO  CO  CO  CO  CO 

O  -^  OOCS  CO 
•^  -<}♦  -v  to  to 

CO  CO  CO  CO  CO 

o  -«f  00  csco 

OOO— (  ^ 

O  -^OOC^CO 
(MC^  CO  COCO 

■^  T}1  ..^  T^  «t4 

O  -<?"»  CO  CO 
'i^  -^  -^  -^  -r 

o  -r  QO  c-i  CO 

000-.-1 
lO  »0  »0  to  lO 

O  -^  OOCS  CO 

CSCS  CSCOCO 

to  to  to  to  to 

O-5<00  c^coo 
M*  -^  ^r  >0  "O  o 

lO  »0  »0  «0  to  CO 

.     lOCOf^OO  OS 

o^cqco-»i» 

to  to  to  to  to 

to  CO  t^  OOO 
to  to  to  to  to 

o^csco-^ 

OCOO  CO  CO 

lOO  r^oo  Oi 

o  — <  coco  -^ 
t^  t^  t^  t- 1- 

LO  CO  t^  OC  o> 

1- 1- 1- 1^  w 

o^csco-^ 

00  00  00  00  00 

to  CD  r^  OO  OS  o 

00  00  00  00  00  o> 

a 

.2 

.2 

'o 
<» 

Q 

9.84669 
9.85413 
9. 86133 
9. 86827 
9. 87498 

9.88145 
9. 88770 
9. 89373 
9. 89955 
9.90516 

9.91056 
9.91577 
9.92079 
9. 92562 
9.93027 

9.93473 
9.93902 
9.94313 
9.94708 
9.95086 

9. 95448 
9.95793 
9. 96123 
9.96437 
9.96735 

9.97019 
9. 97287 
9.97541 
9. 97780 
9.98004 

9.98214 
9.9S410 
9. 98592 
9.98760 
9.98915 

9.99055 
9. 99182 
9.99295 
9. 99395 
9.99481 

9.99554 
9.99614 
9.99660 
9.99694 
9.99713 
9.99720 

« 

9.84710 
9.85454 
9.8G174 
9.86868 
9. 87639 

9.88186 
9.88811 
9.89414 
9. 89996 
9. 90557 

9.91097 
9.91618 
9.92120 
9.92603 
9.93068 

9.93514 
9. 93943 
9. 94354 
9.94749 
9.95127 

9.95489 
9.95834 
9. 96164 
9. 96478 
9.96776 

9.97060 
9. 97328 
9. 97582 
9.97821 
9. 98045 

9.98255 
9.98451 
9.98633 
9. 98801 
9. 98956 

9.99096 
9.99223 
9. 99336 
9. 994.36 
9. 99522 

9.99595 
9.99655 
9. 99701 
9.99735 
9. 99754 
9.99761 

b 
w 

9. 84749 
9.85493 
9.86213 
9. 86907 
9. 87578 

9. 88225 
9.88850 
9. 89453 
9.90035 
9.90596 

9.91136 
9.91657 
9.92159 
9. 92642 
9.93107 

9.93553 
9.93982 
9.91393 
9.94788 
9. 95166 

9.95528 
9. 95873 
9.96203 
9.96517 
9.96815 

9.97099 
9. 97367 
9. 97621 
9. 97860 
9.98084 

9.98294 
9. 9S490 
9. 98672 
9.98840 
9.98995 

9. 99135 
9. 99262 
9. 99375 
9. 99475 
9.99561 

9.99634 
9. 99694 
9. 99740 
9. 99774 
9. 99793 
9.99800 

9.84783 
9. 85527 
9.86247 
9.86941 
9.87612 

9.88259 
9. 88884 
9. 89487 
9.90069 
9.90630 

9.91170 
9. 91691 
9. 92193 
9. 92676 
9.93141 

9.93587 
9.94016 
9.94427 
9. 94822 
9.95200 

9.95562 
9.95907 
9. 96237 
9.96551 
9.96849 

9.97133 
9.97401 
9.97655 
9. 97894 
9.98118 

9. 98328 
9.98524 
9.98706 
9. 98874 
9.99029 

9.99169 
9.99296 
9. 99409 
9. 99509 
9.99595 

9.99668 
9. 99728 
9.99774 
9. 99808 
9.99827 
9.99834 

b 

9.84815 
9. 85559 
9. 86279 
9. 86973 
9. 87644 

9.88291 
9. 88916 
9.89519 
9.90101 
9. 90662 

9.91202 
9.91723 
9.92225 
9.92708 
9.93173 

9.93619 
9.94048 
9.94459 
9.94854 
9.95232 

9.95594 
9.95939 
9.96269 
9.96583 
9.96881 

9.97165 
9. 97433 
9.97687 
9. 97926 
9.98150 

9.98360 
9.98556 
9. 98738 
9. 98906 
9.99001 

9.99201 
9.99328 
9.99441 
9.99541 
9.99627 

9.99700 
9.99760 
9.99806 
9.99840 
9. 99859 
9.99866 

1 

84843 
85587 
86307 
87001 
87672 

88319 
88944 
89547 
90129 
90690 

91230 
91751 
92253 
92736 
93201 

93647 
94076 

94487 
94882 
95260 

95622 
95967 
96297 
96611 
96909 

97193 
97461 
97715 
97954 
98178 

98388 
98584 
98766 
98934 
99089 

99966 
69966 
69166 
95866 
62266 

99728 
99788 
99834 
99868 
99887 
99894 

O  OOOO 

o  o  o  o  o 

O  OO  o  o 

o  o  o  o  o 

0>0.C6C»0> 

O  OOO  o 

o  o  o  o  o 

O  O  O  O  O 

O  O  O  OOO 

© 

CO 

?5 

9.84868 
9.85612 
9.86332 
9.87026 
9.87697 

9. 88344 
9.88969 
9.89572 
9. 90154 
9.90715 

9.91255 
9.91776 
9.92278 
9.92761 
9.9322C 

9.93672 
9.94101 
9.94512 
9. 94907 
9.95285 

9.95647 
9.95992 
9.96322 
9.96636 
9.96934 

9.97218 
9.97486 
9.97740 
9.97979 
9.98203 

9.98413 
9.98609 
9.98791 
9. 98959 
9.99114 

9.99254 
9.99381 
9. 99494 
9.99594 
9. 99680 

9.99753 
9.99813 
9. 99859 
9.99893 
9.99912 
9.99919 

1 
« 

9.84889 
9.85633 
9.86353 
9. 87047 
9. 87718 

9.88365 
9. 88990 
9.89593 
9.90175 
9.90736 

9.91276 
9.91797, 
9.92299 
9. 92782 
9.93247 

9.93693 
9.94122 
9.94533 
9.94928 
9.95306 

9.95668 
9.96013 
9.96343 
9.96657 
9.96955 

9.97239 
9. 97507 
9.97761 
9.98000 
9. 98224 

9.98434 
9. 9S630 
9.98812 
9. 98980 
9. 99135 

9.99275 
9. 99402 
9.99515 
9. 99615 
9.99701 

9.99774 
9. 99834 
9. 99880 
9. 99914 
9. 99933 
9. 99940 

b 

9.84908 
9.85652 
9.86372 
9. 87066 
9.87737 

9.88384 
9. 89009 
9.89612 
9.90194 
9.90755 

9.91295 
9.91816 
9.92318 
9. 92801 
9.93266 

9..93712 
9.94141 
9.94552 
9. 94947 
9.95325 

9.95687 
9. 96032 
9.98362 
9. 96676 
9. 96974 

9.97258 
9.97526 
9. 97780 
9.98019 
9.98243 

9.98453 
9. 98649 
9.98831 
9.98999 
9.99154 

9.99294 
9.99421 
9. 99534 
9.99634 
9.99720 

9.99793 
9.99853 
9.99899 
9. 99933 
9.99952 
9.99959 

1 

9.84923 
9.85667 
9. 80387 
9. 87081 
9.87752 

9. 88399 
9. 89024 
9.89627 
9. 90209 
9.90770 

9.91310 
9.91831 
9.92333 
9.92816 
9.93281 

9.93727 
9.94156 
9.94567 
9.94962 
9.95340 

9.95702 
9. 96047 
9.96377 
9. 96691 
9.96989 

9.97273 
9.97541 
9.97795 
9.98034 
9. 98258 

9.98458 
9. 98664 
9.98846 
9. 99014 
9.99169 

9.99309 
9.99436 
9. 99549 
9. 99649 
9. 99735 

9.99808 
9.99868 
9. 99914 
9. 99948 
9.99967 
9.99974 

1-1 

9.84934 
9.85678 
9. 86398 
9. 87092 
9. 87763 

9.88410 
9. 89035 
9.89638 
9.90220 
9.90781 

9.91321 
9. 91842 
9. 92344 
9.92827 
9.93292 

9.93738 
9.94167 
9.94578 
9.94973 
9.95351 

9.95713 
9. 96058 
9.96388 
9. 96702 
9.97000 

9.97284 
9.97552 
9.97806 
9.98045 
9.98269 

9.98479 
9.98675 
9.98857 
9.99025 
9.99180 

9.99320 
9.99447 
9.99560 
9. 99660 
9. 99746 

9.99819 
9. 99879 
9. 99925 
9.99959 
9.99978 
9.99985 

1 

1-1 

9. 84942 
9.85686 
9. 86406 
9.87100 
9. 87771 

9. 88418 
9.89043 
9. 89646 
9.90228 
9.90789 

9.91329 
9.91850 
9. 92352 
9.92835 
9.93300 

9.93746 
9.94175 
9.94586 
9.94981 
9.95359 

9.95721 
9.96066 
9.96396 
9.96710 
9.97008 

9.97292 
9.97560 
9.97814 
9. 98053 
9.98277 

9.98487 
9.98683 
9.98865 
9.99033 
9.99188 

9.99328 
9.99455 
9.99568 
9. 99668 
9.99754 

9.99827 
9. 99887 
9.99933 
9. 99967 
9.99986 
9.99993 

1 
O 

9.84947 
9.85691 
9.80411 
9. 87105 
9.87776 

9.88423 
9.89048 
9.89651 
9.90233 
9.90794 

9.91334 
9.91855 
9.92357 
9.92840 
9.93305 

9.93751 
9.94180 
9.94591 
9.94986 
9.95364 

9.95726 
9.96071 
9.96401 
9.96715 
9.97013 

9.97297 
9. 97505 
9.97819 
9. 98058 
9. 98282 

9.98492 
9.98688 
9.98870 
9.99038 
9.99193 

9.99333 
9.99460 
9. 99573 
9.99673 
9.99759 

9.99832 
9.99892 
9. 99938 
9.99972 
9. 99991 
9. 99998 

o 

9. 84949 
9. 85693 
9.86413 
9.87107 

9.87778 

9.88425 
9.89050 
9. 89653 
9. 90235 
9. 90796 

9.91336 
9.91857 
9.92359 
9.92S42 
9.93307 

9.93753 
9.94182 
9.94593 
9. 94988 
9. 95366 

9.95728 
9.96073 
9. 96403 
9.96717 
9.97015 

9.97299 
9.97567 
9.97821 
9.98060 
9.98284 

9.98494 
9.98690 
9. 98872 
9.99040 
9.99195 

9.99335 
9.99462 
9. 99575 
9. 99675 
9. 99761 

9.99834 
9. 99894 
9.99940 
9.99974 
9. 99993 
10.00000 

S-2 

a     toco  t^COO 
-«'  -9<  -^  ■<»<  -sr 

to  CO  t^  00  o 

lO  to  to  to  to 

O  — 1  Cl  CO- 

lO  eOh..  00  Ci 
CO  CO  CO  =00 

O-i  coc^  -r 

t- 1- 1^  t- 1~ 

O  -^  CO  CO  -^ 

00  00  OCOO  OC 

to  CO  r* OOO  o 

00  00  CO  00  00  o 

S 

3 
< 

s^'  ^  2!  SS  "^^  =^ 

«>  OOO— 1  i-( 
^  CO  coco  CO  CO 

O-^COC^co 
C«C^  CSCOCO 

CO  CO  CO  CO  CO 

O  Tf  00  CS  CO 
■V-^  '^  to  to 

CO  CO  CO  CO  CO 

O-9<00IMc0 
OOOrt-1 
■^  -^  -^  -^  TJ« 

O-^OOlMO 
<N(N(NCOCO 

O  -r  00  c-i  --0 

•<f  ■«•  -V  lO  o 

O  -TOO  coco 
OOO-H-1 

U5  10U3U3  10 

OttOOCOCO 

CO  CO  eo  coco 

40  tO»OkOtO 

o  I**  00  csco  o 

■VJ«  "^  to  to  o 

to  to  to  to  to  CO 

Page  158] 


TABLE  V. 

The  Finding  of  the  Azimuth. 


S8S§£2S    SSS 


§g:sss  gs§22 


M  c)  es  M  CO 


S5^£ 


8  ^00  (MO 
OOrH,-! 


O-*Q0NO 

c-1  NM  mco 


S55 


Of-<NCC'^        »0<©t*000>        O^CICO'^        »OCOb-0OOl        O'-^CflC 


icoi^ooos      Oi-HC^eo-^      »r>or>-oooj 


C^CSC-JMC^         C^CSCSCICS         COCOMCCCQ        COMCOCOCO 


OOOOCCOO        OOOOdOaO 


0>  A  O)  o>  o 


03  O  O)  0&  O       0  0^0  05  0^ 


Od  Od  O  O)  OS  03 


O  O  O  O  O        O  Oi  Oi  Oi  O        O)  0>  O)  0>  Oi        OaO^O^OdOdOb 


CDC^OQO        OC205COPO       r*oc 


_  )  CO  O  CO         005<DCO' 
cccooco        COQi^COC 


ss 


^t^  CO  coo 
CO  o  y5o  CO 

Q  COiOOOQ 


1OC00000.-H        iO'*'0«-Hl~>-        t^-^i-li-HO        05(N':D^t>- 


t^  -^  1-*  00  h*  Ci 


Id  lO  lO  *0  lO 


JCJ'ifOO        COCIOiOOJ        OlOOOt^C^J         -^COCSi-Hi-tOO 


o  ss 


00O'-'(NC0        ^  lO  ^  t     " 


<£!  o     ^  t^r*t^  t 


r-t^t>-t^t- 


OOOOOOOO        OOOsOJOiOi        OOSOiOiOi 


O  O  03  O^  Od       O)  03  O  Oi  C^       O  Oi  G^  O^  C)       O^  O^  03  OS  O)       0>  OiOiOiO^Oi 


ycococ 
I  wot 


OSMOOiOC^ 

CO  1-1  t^  CO  00 
OOOi-l'-t 


OOOOOOOO        OOOiOOiOS 


CDOS  t^OOb- 
OOt^OCN  00 
Oi-<^  CO'*** 

CO  t^  <o> -^  t>- 
(M  (M  coco  CO 

O  O)  o>  O^  O) 


c<>  »o  r-  o  "5 

»0»QTtlC0O 
M  tH  :5  C6  S 


-^co-^o^o 

fH  OC-IOOt^ 
1>>COOOC^  CO 

CO  CD  to  ^  "^ 


,-HO^cor- 

gcoio 


cwr-iiccoo      ^coot^toe 

t^'«*<COiOQ        (N^Ht^OiOSt 


C-l  CO         '^  O  t'-  00  c 


OS  A  O  03  O       O)  O)  O  0>  O       Oi  Oi  Oi  OiOi        Oi  Oi  OiOiOi       Oi  OiCi  Oi  O^Oi 


I  N*ot^co 

OOOOOOOO 


lOOO"^  i-<  00 
C^i-(00iC(N 

cs  1-H  r^  lo  <o 

0300^<-H 
00  O^  O)  OS  O) 


CS  »0  CO"^  CO 

coio  OOO  o 

CO  i^  O  -^  t^ 
csi  c<i  CO  coco 


lO  Oi  Oi  CO  Oi 
0<M  00O5  O 


59 


UOOO  O        W 


OOCOOOO 
<>)  lOOOCq 
O»0C0i^ 

■*t*oo6o 


OOSOCOCl  C^OiO<Di-H 

0>t^OiC»0  Oit^»-tOiO 

t^eocScot^  Ocoooooi 
O)  0>  O)  Oi  o 


or^i^t>-t>-     t>-t*t>.t 


S  o  r^  00  S 


5  OOt^  *CCO*-* 


OS  OS  OS  O)  Oi       OS  OS  OS  OS  OS       OS  OS  0>  02  a  OS 


coos  r-^io 


t^O<ocoo 

OS^  lOC^  o 

csi-Hoocor-- 
CO— <r^  CO  00 

OsOO-ft-i 
00  OS  OS  OS  OS 


coc^  *ct^  e 

C4  c "  ■ 

c5c^cocbco 

OS  OS  OS  OS  OS 


-     oc^  "20S 


Wr-lC^  00*** 


. - --         OO'^OS'^uu 

OCOiOOOQ        (N-^COOOO        t-(  CO  <*  CD  t^ 

^  ^  ^ "* »o      io»ooio^      o » CO ^o ;o 

OS  Oi  OS  OS  OS       OS  OS  OS  Os  OS 


■^1-1  00  00  CO 

to  »o  oo  r-^Ci 

1-H  -^  i^DOOO 
OSOi-l<M^ 
COt-t^t-t^ 


OS  OS  OS  OS  OS        OS  OS  OS  OS  OS 


iC£>r^ooos 
t>- 1-- !>•  r^  r- 

OS  OS  OS  OS  OS 


>oot6"*N 


toooOc 

OS  OS  OS  09  OS  O^ 


1-4  t^lO  CO 
(v,  ^  ^  OS 

giOcDC^cO 
I   C^iOt^OO 


iCOO'i^^OO 

cor5osot^ 
CO  »H  r--  CO  00 

OSOO— IT-H 


3  1-1  lOt 


CO  r*  1— I  -^  r^ 
csjc^cococo 


»0  OS  OS  CO  OS 

CO  oc<i  coos 

CO  CO  OS  CO  "5 


QOOCOCOCO  OOsQtOC^  MOSCOcDrH  ^t— ^OsW 

•^cDOscsco  coi— looses  COi-liO-^OS  OS»jOOO<OC^ 

t^t^cOiON  OsiOO-^OO  duOh-OSO  r-t  C^J  C^  (N  CM 

CS'^COOOQ  T-ieoio<ot^  OsOi-iC^^  ocot^coos 


ca  OS  to  wci  ^ 

•^  <N  OO  r-H  i-H  •& 
T-^  OOOf-.^^ 

^OOOOOOOO  w 


OOOOOOOO        00  OS  OS  OS  OS        OS  OS  OS  Oa  OS        OSOSOSOSOS        OS  OS  OS  ^  OS        OS  OS  OS  OS  OS        OS  OS  OS  OS  OS        OS  OS  OS  OS  OS        OS  OS  OS  OS  OS  OS 


CONQOO 

8  00  00  00  »o 
»OcOC^  f- 

OOOOOOOO 


CO  CO  00  QO 


ocoos  coco 

CO(N  OOUO  CO 

■'J'  CO  OS  I>- OO  -,     ,  -    - 

COi-lt^COOO  cot^^-^t^ 

OSOOi-l*-l  C^CNJCOCOCO 


StP^OO^ 
CO  OS  OS  CO 
r^Ttios  CO  CO 


uocooooo^H      w5Tf*io^Hr^      b*  ""jf  »H  1-1  o      osc^co^t-^-      ^~ -^  i-i  oo  f^  ca 

QCOOOOCO        OS00OC0»O        OS00<Ni-liO        »O(N^C000         OOSOt^t^"^ 
^  -*"■'?  CO       OS  lO  »-i  lO  OS       C^  uo  00  o  >-<       *~ -~ " 


(M-^COOOQ        t-tCOiOcOt^ 
UD  ut  LO  U3  O        cOcOcOcOcO 


OS  Oi— I  CO  -^        lO  O  -      

(£>  t^  t^  r*  t>,     i>.t^t^t^t-, 


»0  <N  •*  CO  00 
'^  C»5COCO<M 


00  OS  OS  OS  OS         OS  OS  OS  OS  OS         OS  OS  OS  OS  OS         OS  CS  OS  OS  OS         OS  OS  OS  Oi  OS         OS  OS  OS  OS  OS         OS  OS  OS  OS  OS         OS  OS  OS  Ob  OS  a 


OOOOOOOO 


CO'-'  Ob  CO  oo 
OsOOi-*!-! 


Tjl  lOC^  cooo 

COt^r-l-^  t-* 
C^CSCOCOCO 


C^COCOQO        l^iOOOCO 
cDOSiOOC^        cOOs<NU0OS 


5^; 


00  00  opcoc 
(M  ^COOOC 


5  (*»C0OS         OS  C 


-      ^     _    -  .  .      ^       Jt^r-I 

OC£>i-<COQ  cocOoooc^ 

c^co*ocooo  oso»-<eo^ 

COCDCOCOCO  CDt^t^t>-l>- 


coco^coco      ^^ooSti^ 
lOCOt^OOOS        S^^c^c^co 


OOcOOS        OSCOCOQOS— t 
—  OS  Tl«         CO  lO  •-<  ^  CO  •-* 


OOOSOSOSOS         OSOSAOSOS         OSOSOOSOS         OSOSOSAO^         OSOSOSOSOS         OSOSOSOSOS         OSOSOSOSOS         OS^CSOb^O^ 


COCflOOO 

.  ooot- 

J  h- 00^  00 


OCOOSCOCO 

lO  ^  oi-^  lO 
lO  ■^--tooos 
CO  i-ioo  coco 

OS  OO^i-t 
00  OS  OS  OS  OS 


500OS  00         O^-^OO** 


0&  OS  OS  OS  OS        OS  OS  OS  OS  OS 


lO  CO  CO  00  1-1 

OS  OS  GO  t^  "^ 
<S)^COOOO 
lO  iQ  lO  O  CO 

OS  OS  OS  OS  OS 


F-c  O  <N  OC  t- 
1^  t-  0»  CO  O 

O  CO  "O  CO  oo 

CO  CO  CO  CO  CO 


Oi  OS  Ob  OS  OS 


F-i  O  -^  CO  t" 

Tl*  b»OS  1-t  C^ 

OSO^CO'<l' 
CO  t^t^t*  b- 

OS  OS  OS  OS  OS 


t^l^t-t^C^ 


t^ -^  ^H  to  t>.  OS 

(M  — *  r*  OS  OS  ^o 


OS  OS  OS  OS  OS        OS  Oi  OS  OS  O  OCi 


i-tr-icco 

>  l>.O0  -rf  OS 


lOoo^vHao 


3  CO  CO  r>-  OS 


icososcoos      Qoocococo      ooaoco<N 


I  CO  r^  c 

OU  Ci3  .— I  lO  oo 

Q  CO  CO  00  O 
OS  OS  OS  OS  OS 


t^U^OOCOCO 


C^OSCOCOrH 

l^iOOS  ooco 
^  r^  CS  .-H  CO 
OSOi-iOO  -^ 

<ot-t^t-t^ 


CD  t^  OOC 


OSOSOSOSOS         OSOSOSOSOS         OSOSOSOSOS 


OS  OS  OS  OS  OS 


W  OS  CD  CO  C'i  -^ 
oo  CO  C^  »0  *0  CS» 

CO  M  ^^osr^  »o 

00  00  oo  00  00  CC' 
OS  OS  OS  OS  OS  OS 


M*  r- »o  CO  li:)      t^,-irHiLO^ 

_.*      C^cOC^HMOS 


llOOO 

c5  oos  00  S 


coos  eo»-<  -^ 


800dSU:5OS        CD»OOJOSO        »fOO-«J*OOCS        OSCOC^IOOO        OOOSOOkO 
COCOi-HCO        COi-HOOCOO        COb*'-!-^!:^        Q  CO  CO  00  Q        CO  O  CD  OO  O 
|C^»Ot^00        OSOO— <»-<        C^C^COCOCO        ■^  Tt< -^  Tt<  iJ5        iOOiOiOCO 


»O00  0(M  c 


C^i-HMOO:3^ 
(Nr-tCOOOOO 
C»  oo  CO  tx. --I 
C^  CO  iQ  ^  00 

CO  CO  CO  CD  CO  M.^  l"»  4"^  !■*  l'*  A""  I"*  »"*  *"*  1"* 

OO^OSOSOS        OSOSOSOSOS        OSOSOSOSOS        OSOSOSOSOS        OS  OS  OS  OS  O        OSOSOSOSOS        OSOSOSOSOS 


tOOt^OOOS         Qi-HC-J 


^Hl^iOCO  lOOO-^i-lOO 

co»o»oco  ooscocoo 

>00CS»OQ  r^iOC^Qi-l 

J  CO  CO  <— •  ^  CO '-' CO  ^  OS 

Cl»Ot^00  OsOO'-H'-t 

OOCXiodoO  OOOSOSOSOS 


OOOCOCOCO       OOSOCDC5       ^<5SPS5^ 


C^iOCO'l^CO  vocsoscoos        ...^_  _.- 

T^coooo-^  r-ocDt>-co  ooococoo  r^iooococo 

COI^-^OOO ~ —  ~r K  — 

COf^  ^  -^  00 
CS  CQ  cococo 

OsOwOSOSOS  OSOSOSOSOS  OSOSOSOSOS  OSOSOSOSOS         OSOSOSOSOS 


lO  00  oca  'i* 

CSSOCSCO'^ 
COt^I>-l>t- 


O  O  CO  CO  lO 

lOcO  t^OOOS 

i>-i>  t^r- 1^ 

OS  09  OS  OS  OS 


C^  OS  CD  CO  CI  ^ 
00  O  CS  »0  'O  CM 

■*t<  CO  CS  o  oo  cp 

00  00  00  CO  00  CO 

OS  OS  a  OS  OS  OS 


r^OOOOsoO  Ot^-^OOtJ*  iOCOOOOOfH  lO^iC— It*  t^^i-(f-HCO  OSCSCD^b-  t--'^*-<00t*^ 

OOOOOC^OO  CSiO'-t-— lOO  Cli0t--0"5  1-HOCSOQr*  i-«Q'*COt^  t--TjJcOioQ  C<I'-*I--OS^O 

cor^iTSoso  or-cot^os  ii^-nooco  coSs-^i'oOcs  cD^i-<eo"^  io:o-x>'X)0  lO-^csoooS 

cot^i-i^oo  1— (cocDooo  co'f5t-ooo  cscoococo  osooico-^  *oot*ooos  Qri?!3C5!?93! 

cscscococo  ^rti-<3*'^u5  *r5ou^io35  cococococo  cot-r^t-t-  l^i^t^t^r-  oooooooOoOoo 

OOOOOOOO        OOOSOsO^OS        OSOSOSOSOS  OSOSOSOSOS  OSOSOSOSOS  OSOSOSOSOS  OSOSOSOSOS  OSOSOSOSOS  OSOSOsOiOSOs 


5  w) 


0'-t<NCO'^        uOcOt^OOOS         Oi-lC^C^"^        lOCOt^OOOs         Oi-lCS 


goc 


o-^oocsco 

CS  C^  O  CO  CO 


rt^^,_tr-(        r~t^i-tf-iy-i        CSC^ICiCSC^        CS  CS  CS  CS  C 


ittiCDb-OOOS        0'-ICSCO'<J<        UDCOI^OOCS 


S51§£ 


s-^oocsco      o^oocsco 

SOO'i'-t        CSCSCSCOCO 


5^^ 


CC  CO  CO  CO  CO 


U5"3       OOO"-!"-"        MCmNCOCO 


TABLE  V. 

The  Finding  of  the  Azimuth. 

[ 

Page  159 

11 

gssss 

O-^OOCMO 
■"T  •*  Ml  *o  to 

OOOt-H— 1 

O-oiOONO 

sssss 

U5 

S?;§5l2g 

O^J-OOWOO 
-KT  •'T  -^  10  *0  0 

0   iotcr-ooo> 

Tjt  TT  -^  -^  -^ 

Oi-<CS  COf 

to  to  to  to  to 

lo  or^  00  OS 

to  »o  to  to  »o 

Q-H<NCO-* 

O  <0  'J5  O  O 

OOCCHOO 

OjHe^coja; 

t2Sf-SS 

Of  CSCOM" 

OC  00 00 oooo 

»Q  0 1^  en  0  0 

C«0COO«0O  OJ 

o 
a 

T-l 

83821 
84565 
85285 
85979 
80650 

87297 
87922 
88.'325 
89107 
89008 

90208 
90729 
91231 
91714 
92179 

92625 
93054 
93405 

93800 
94238 

94600 
94945 
95275 
95589 
95887 

96171 
96439 
90093 
90932 
97150 

97300 
97502 
97744 
97912 
98007 

98207 
98334 
98447 
98547 
98033 

98700 
98766 
98812 
98846 
98865 
98872 

OS  OS  OS  CJ  OS 

oaooo 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  Oi  OS  O^ 

OS  OS  OS  OS  OS 

OiOiaiOiai 

OOOOOl 

OSOSOSAOsOS        1 

b 

n 

83907 
84651 
85371 
86065 
86736 

87383 
88008 
88011 
89193 
89754 

90294 
90815 
91317 
91800 
922{i5 

92711 
93140 
93551 
93940 
94324 

94680 
95031 
95301 
95075 
95973 

90257 
90525 
90779 
97018 
97242 

97452 
97648 
97830 
97998 
98153 

98293 
98420 
98533 
9S033 
98719 

98792 
98852 
98898 
98932 
98951 
98958 

O^  OS  CS  OS  OS 

O  OSCS  OS  OS 

OS  Cs  OS  OS  OS 

0^03  05  0  01 

OS  OS  OS  OS  OS 

OS  OS  OS  CS  OS 

OS  Cs  OS  OS  OS 

OS  OS  OS  OS  Cs 

osososososos      1 

b 

o 

N 

1-1 

83989 
84733 
85453 
86147 
86818 

87405 
88090 
88093 
89275 
89836 

90376 
90897 
91399 
91882 
92347 

92793 
93222 
93033 
94028 
94406 

94708 
95113 
95443 
95757 
90055 

90339 
90007 
96801 
97100 
97324 

97534 
97730 
97912 
98080 
98235 

98375 
98502 
98015 
98715 
98801 

98874 
98934 
98980 
99014 
99033 
99040 

O^  Oi  Oi  Oi  Oi 

OS  OS  Cs  OS  OS 

a>cno>oo> 

OS  OS  OS  OS  Cs 

OS  OS  OS  OS  OS 

OS  OS  05  OS  Oi 

OS  OS  OS  OS  OS 

Cs  OS  CS  OS  OS 

osososososos      1 

n 

84008 
84812 
85532 
86226 
80897 

87544 
88109 
88772 
89354 
89915 

90455 
90970 
91478 
91901 
92420 

92872 
93301 
93712 
94107 
94485 

94847 
95192 
95522 
95830 
90134 

96418 
90080 
90940 
97179 
97403 

97013 
97809 
97991 
98159 
98314 

98454 
98581 
98094 
98794 
98880 

98953 
99013 
99059 
99093 
99112 
99119 

03  05  0J0105 

Cs  OS  OS  OS  Cs 

0>  OS  Cs  C3S  OS 

OS  OS  OS  OS  OS 

ooifficno 

OS  OS  OS  Cs  Cs 

03002  0  05 

OS  OS  Cs  OS  OS 

0  OS  OS  OS  cs  cs       1 

b 

o 

1-1 

84144 
84888 
85008 
80302 
80973 

87020 
88245 
88848 
89430 
89991 

90531 
91052 
91554 
92037 
92502 

92948 
93377 
93788 
94183 
94561 

94923 
95208 
95598 
95912 
90210 

96494 
96702 
97016 
97255 
97479 

97689 
97885 
98007 
98235 
98390 

98530 

98057 
98770 
98870 
98950 

99029 
99089 
99135 
99109 
99188 
99195 

03  0>0S0>0> 

OSCVCIOO: 

OS  OS  OS  OS  Cs 

Cs  O  CS  O  Cs 

CS  CS  OS  OS  OS 

OOOOOl 

OS  CS  OS  OS  OS 

OS  OS  O  OS  OS 

C;  OS  C3S  CS  OS  OS          1 

b 

CO 

© 

T-l 

84216 
84960 
85680 
80374 
87045 

87692 
88317 
88920 
89502 
90003 

90003 
91124 
91026 
92109 
92574 

93020 
93449 
93860 
94255 
94633 

94995 
953'10 
95070 
95984 
90282 

90506 
96834 
97088 
97327 
97551 

97701 
97957 
98139 
98307 
98402 

98002 
98729 
98842 
98942 
99028 

99101 
99101 
99207 
99241 
99200 
99207 

OS  OS  OS  O  CTS 

OOOTOCR 

OS  CS  CS  CS  Cs 

CS  OS  Cs  Cs  OS 

OS  Cs  CS  OS  Cs 

OS  Cs  OS  Cs  Cs 

CS  Cs  OS  CS  Cs 

02  O  C:  05  05 

Osososososos       1 

b 

o 
o 

84284 
85028 
85748 
86442 
87113 

87700 
88385 
88988 
89570 
90131 

90671 
91193 
91694 
92177 
92642 

93088 
93517 
93928 
94323 
94701 

95003 
95408 
95738 
90052 
96350 

96634 
96902 
97156 
97395 
97619 

97829 
98025 
98207 
98375 
98530 

98070 
98797 
98910 
99010 
99096 

99109 
99229 
99275 
99309 
99328 
99335 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

cno:.0>0i0 

OS  CS  Cs  Cs  OS 

OS  CS  C;  CS  CS 

Cs  CS  OS  OS  Cs 

OS  CS  OS  OS  Cs 

OS  OS  OS  OS  OS 

C<  Cs  OS  OS  OS  OS       1 

b 

n 

84349 
85093 
85813 
80507 
87178 

87825 
88450 
89053 
89035 
90190 

90736 
91257 
91759 
92242 
92707 

93153 
93582 
93993 
94388 
94766 

95128 
95473 
95803 
96117 
96415 

96699 
96967 
97221 
97400 
97084 

97894 
980S0 
98272 
98440 
98595 

98735 
98862 
98975 
99075 
99161 

99234 
99294 
99340 
99374 
99393 
99400 

OS  05  CS  O  OS 

o>  o  cv  o  o 

<J>  0>  OiOiOi 

Cs  OS  OS  OS  OS 

CS  cs  OS  OS  OS 

OS  OS  OS  OS  Cs 

OS  Cs  OS  Cs  CS 

OS  Cs  Cs  OS  OS 

OS  OS  OS  OS  OS  cs       1 

b 

o 

c 

84411 
85155 
85875 
86509 
87240 

87887 
88512 
89115 
89097 
90258 

90798 
91319 
91821 
92304 
92709 

93215 
93644 
94055 
94450 
94828 

95190 
95535 
95865 
90179 

90477 

96761 
97029 
97283 
97522 
97746 

97956 
98152 
98334 
98502 
98657 

98797 
98924 
99037 
99137 
99223 

99290 
99356 
99102 
99436 
99455 
99462 

OS  O  CS  CS  OS 

OS  OS  OS  OS  CS 

OS  OS  OS  OS  OS 

Cs  Cs  OS  OS  OS 

OS  OS  OS  CS  OS 

OaCDCnO 

Cs  CS  CS  Cs  OS 

Cs  OS  OS  CS  OS 

OsCsOsCSOsO       1 

b 

05 

84469 
85213 
&5933 
80627 
87298 

87945 
88570 
89173 
89755 
90316 

90850 
91377 
91879 
92302 
92827 

93273 
93702 
94113 

94508 
94886 

95248 
95593 
95923 
96237 
96535 

96819 
97087 
97341 
97580 
97804 

98014 
98210 
98392 
98560 
98715 

98855 
98982 
99095 
99195 
99281 

99354 
99414 
99460 
99494 
99513 
99520 

O  OS  OS  Cs  OS 

OS  OS  OS  OS  OS 

O  CS  OS  OS  CS 

OS  CS  CS  OS  OS 

OS  OS  O  Cs  O 

o=o>ao=o= 

OS  OS  OS  O;  OS 

Oi  05  o  Oi  ro 

OS  OS  CS  CS  Cs  C          1 

b 

o 

00 

84524 

85208 
85988 
80082 
87353 

88000 
88625 
89228 
89810 
90371 

90911 
91432 
91934 
92417 
92882 

93328 
93757 
94108 
945C>3 
94941 

95303 

95648 
95978 
90292 
90590 

96874 
97142 
97396 
97635 
97859 

98069 
98205 
98447 
98615 
98770 

98910 
99037 
99150 
99250 
99330 

99409 
99409 
99515 
99549 
99508 
99575 

OS  OS  a  OS  OS 

OS  OS  OS  0>  OS 

OS  O^  OS  OS  0> 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  cs 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

Oi  Oi  Oi  crt  cTi  Ci      1 

b 

w 

84570 
85320 
86040 

80734 
87405 

88052 
88077 
89280 
89802 
90423 

90903 
91484 
91980 
92469 
92934 

93380 
93809 
94220 
94015 
94993 

95355 
95700 
90030 
90344 
90042 

96926 
97194 
97448 
97687 
97911 

98121 
98317 
98499 
98667 
98822 

98902 
99089 
99202 
99302 
99388 

99401 
99521 
99507 
99001 
99020 
99027 

esojooJOJ 

OS  Oi  OS  OSOl 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  o 

OOSOS  OS  OS 

OS  OS  OS  OS  OS 

Cs  OS  CS  OS  OS 

o  c  C-.  o  o 

C^  OSCSCR  Oi  0        1 

b 

o 

84624 
853(i8 
86088 
80782 
87453 

88100 
88725 
89328 
89910 
90471 

91011 
91532 
92034 
92517 
92982 

93428 
93857 
94208 
94603 
95041 

95403 
95748 
90078 
90392 
96090 

96974 
97242 
97496 
97735 
97959 

98169 
98305 
98547 
98715 
98870 

99010 
99137 
99250 
99350 
99436 

99509 
99509 
99615 
99049 
99608 
99675 

O)  a  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  Cs 

OJOlOOiOi 

a  a:  a  a  a: 

Ol  05  Ci  cs  o 

0  a:  o>  ci  01 0--     1 

b 

CO 

84669 
85413 
80133 

80827 
87498 

88145 
88770 
89373 
89955 
90510 

91056 
91577 
92079 
925(i2 
93027 

93473 
93902 
94313 
94708 
95086 

95448 
95793 
90123 
90437 
96735 

97019 
97287 
97541 
97780 
98004 

98214 
98410 
98592 
98700 
98915 

99055 
99182 
99295 
99395 
99481 

99554 
99614 
99660 
99694 
99713 
99720 

OJOcaoo 

CSOS  OS  OS  OS 

O^    Oi    0>    Oi  C^ 

OS  OS  CS  OS  OS 

0  03  0^  O^  Oi 

05CS  OS  OS  OS 

OC5  05  0JO 

O  CSOS  CsOi 

OS  CS  OS  c:s  CT-  c?j 

li 

B 

1 

Of  csco-* 
to  to  to  to  to 

lO  »0  "5  lO  o 

S3SS3 

S  :oo  coo 

O^HCS  CO-* 

O-^CS  CO-* 

0000000600 

OTOOOOOOOO  OS 

~  O  -r  »  M  --3 

Sooo  — -. 

o-*oocso 

CSCSCSCOCO 

O-5>00(NO 

8S§£22 

C^»  C^  (>»  CO  CO 

o-^oocs  o 

M-  TT  M-  to  to 

O-^OOCVUO 
OOO— -^ 

CS^CSCOCO 

O-^oocso  0 

■*r  -*  'tr  to  to  0 

0 

Page  160] 


TABLE  V. 

The  Finding  of  the  Azimuth. 


5-2 

w5 


OOOi-Hi-i        CSiMC 


?C^!£>        OM*00«O        0->t<OOC*1cD 


5NCO        O-^OOC^O        O'^crc^eO 


ICOCO         -^-f^-fpiOiO        OOO-HtH         C^WWCOCO         ^T*i"TtnO":)         OOOr-ii-i         MCSWeOCO 


o  -^  c 


Oi-<C<JCO-i*        iO':Ot^C0O> 


to  ^h-  OOOl        O^  ( 


CO  CO  CO  CO  CO 


lOOt^OOOS         Oi-HMC 


1-H  b-Xf^CO 

CD  I  -  CO  1^ 

I  C^  lOcO  00 

06060606 


^OO-^^  00 


C^  if^CO  -^  CO 

o  o>  c^  -^  o 
1-no  ai  iM  10 

CS  C5  C^  CO  CO 

O  O  O  03  o> 


CO  "lO  C<)  CO  0>  -n"  CD  Oi  c^  o 

f-  -r  O  T  CO  CO  (Xi  1^  O  CO 

CO  .-H  -r  CD  00  O  (M  -ti  CO  QO 

CO -r -f  M"  rj«  10  lO  »0  lO  »o 

o^  o  oi  0  O)  O)  O)  93  o^  o 


OCSOCON 
CO^-H  -rO'^ 
OcD— i  10 

CO  CO  CO  CO  CO 

Oi  pi  Qi  Oi  Oi 


WOiCOCO  rH 

CO  --^  1-0  -^  a> 

__  COCOCOOrH 

^.-Hec-r>o      r- CO  Oi  <-«  c^ 


01  "O  OOCD  04 
<N  CO  CO  CO  CO 


Cd  O^  Q)  9>  0>       0>  03  O  Od  0>       0>OiOi  Oi  Oi  Oi 


ost*»o     t^  o 


0  ^  2  5  S 

1  <M  10  CO  00 

06060606 


gcoo 
CNO 

»0  -1*  ^  CI  o 


-^  h-  >C  CO  lO 


.^^\Of-H 


COC^^r-CO        cOOcOCOCO        t^  O  CN  10  03 


coco  1-H  1006 


iCS  CO  CO        CO  " 


00  00  0>  Oi  O        Oi  Oi  0>  Oi  Oi        Oi  Oi  OiOi  Oi 


<N  O  10  >0  00 
t^  O  CN  10  <* 
05  O  01  I^ 

OcO  -f  to  QO 

10  if5  »^6 10  0 
O)  o^  o  o^  o> 


Cl—lC^OO-t^ 

CO  iO  r^  (M  w 
1— ( t-  d  r-  1— I 
0--<  CO  n-  CO 


=  S8gKg5 

1  00  Si  1^25 


coos  CO"-*  -^ 
C^O0i-l  OiO 

CO  -t"  10  CO  t^ 


'^  •-<  00  lO  ^J*  CO 

1^  CO --•  -^r  -r  T-H 

Sc^  —*  (^  r-  io 
01  00  --H  M 


t-  t--  CO  00  00  00 
05  d  01  o  01  Oi 


N  OOcOtJ* 
00l-t-»O 

00  01  lO  o 

r-H   r-H  Oi  "M 


I  C^  iO  CO  00 

06060606 


«0  OS  ift  C^  OS         CO  CO 


ft  OS  CO  cs  t- 


_     O  00  O  CO 
CO  t-  -^  OS  O 

1r-«  >o   OS   (M  CO 


O  "^        COOO'tO        ,-t 


OS  CO  OS  CS  CO 


OSCSO'-Hi-H         C^  CS  <M  CO  CO        CO-^' 


CC  1-H  -T  CD  CO 


OOOOOCsOs        CS  OS  C^  OS  0>        OS  O)  OS  OS  OS 


OS  't  "^  t-* 

_  ?4  >0  ofo  (N 

»-<  ^  000  CO 
^H  CO  »Q  CDOO 
lO  »0  lO  10  »o 

OS  OS  OS  OS  OS 


O  •-<  CO  '^  -O) 


CO  '^  •:_ 
CO  CO  CO  CO  CO 

OS  OS  OS  OS  OS 


COOt^  t^CM 

OS  og^  o»o 

lO  CO  W  CO  '^ 
t^OOO*-'C<J 
coco  t-  t^  t-- 

OS  OS  OS  OS  OS 


loooc^oco  coot— M"COirt 

liO  ^  n"  CO  CX)  O  OS '^  t- t- '<»' 

lOOCOCOO  iCCONOCOO 

CO-t"iOcot—  OOOsOf-t»-(M 


OS  OS  OS  OS  OS         OSOSOSOSOSOS 


8ooor- 

I   55(NOS  (M 
I   C^U5cO  00 

06  06  06  CO 


oor-  f  i-^c* 
*-i  oscD  c-^  r— 
Ososo  •-<  i-H 

06  06  OS  OS  OS 


co^osoos 

0000  OCO  00 
t—  !/)CO  O--! 
T-H  to  OS  CO  CO 
W  CMCS  COCO 


OS  OS  OS  OS  o^ 


i-tiCxO  Os»0 
Who  1-H  —t  CO 

1-H  CO  "^  00  o 
OS  •-(  -n"  CO  OS 
CO  -^  -l*  -Tp  -t* 

OS  OS  OS  OS  OS 


CD  "^  OS^M 
C^  lO  I-  o  10 
«MC^.-*or- 

.-H  CO  lO  r-  00 

lO  'O  lO  lO  lO 


CO  iC  CON  00 

i-t  oc^co^- 
■^  oijo  OS  CO 

OC5COM^CO 

CO  CO  CO  CD  CO 

OS  OS  OS  OS  OS 


00  >o  CNi  c^  r-. 

1-H  o  T  CO  r— 
r-  OCN  -r»0 

I-OSOrH  (N 

CO  CO  r^  t-  t— 

OS  OS  OS  OS  OS 


OCOI^»0  00 
00  -r  CO  »C  O 
CD  r-  I'-  t—  r- 
CO  -^  10  CD  r- 
t--r*  r-  t-  t— 

OS  OS  OS  OS  OS 


COiOCSOsOOO 

csrwt--: — 

CO  10  CO- 
CO OS  O"- 


CS  r-l  t—  OS  01  t 

CO  10  CO  .-H  01 1- 


t—  I—  00  00  CO  00 
OS  OS  OS  OS  OS  OS 


oo-*tS^o 

9?^c3os?5 

I    C^  10  CO  GO 


C^iOt-HOOtO  OSC<»Oi-<0  Ncocooco 

r- CO  CO  01 1--  o  o  CO  o  i-H  ■n' r^  CO -^  o 

OSOO'OC^CO  OSOt-'— ICO  CSOSiOOiCS 

r-<OSCO<Mr—  fICOOSCOCO  OS'-H-rcOOS 

OSOSO'-i'-l  C^iNCSCOCO  CO -ri* -^ -t< -^ 


00000000       OOOOOSOSOS       ososososos 


t—  lOOOCO 
-^  I-^  O  CO  i^ 

COC0C0<-'CO 

^  coif5r-co 

wti  "jO  lO  'O  O 
OS  OS  OS  OS  OS 


t-cct-cooa  oscococooo  <-Hrj*oOcOOS 

COM"^OOS  CO<MCD»OOS  ocooor-M 

lO-HCOrHTj*  OO^COiOcO  ocoooooooo 

OCflCOiOcO  t^OSO'-HCN)  co-n^ocot-- 

COcOCDcOcO  cOcOl-^t'-t-  t~-t-t-r— 1>- 


OS  OS  OS  OS  OS        OS  OS  O^  OS  OS 


OSOCOOOS  1-H 
■^  CO  OS  C^  1-H  OS 

t-  CO  ■^  CO  I-H  00 

coos  O1-H  (NC^ 

i-  i>-  00  00  00  00 

OS  OS  OS  OS  O  OS 


COC^IOOO 
I  C^  10  CO  CO 

06060606 


I-H         OS  06 -^  W  OS 
OOscO  -^  '^ 


OS  OS  O  •-<  -H 


M  oi  -r  CD  c<» 

^  CO  OS  CO  CO 


'^CO-'J*         iOCO0000i-t 


COCiuOiO  C^         „  _-  . 
CO  O  CO  O  CO  -T*  f - 


OS  CJ  Tf  h-  OS 


00  00  OS  OS  OS        ososososos        OS  OS  OS  OS  OS 


10  »o  idO  »o 

OS  OS  OS  OS  OS 


»C  -^  lO  »-H  t— 
10  Tt*  CON  <-< 

CO  N  r-  c^  CD 

O  N  COIOCO 
CO  CO  CO  CO  CO 


I—  OS  O^  (N 


OS  OS  OS  OS  OS 


•  CO  CO 
coco t-  t— l— 

OS  OS  OS  OS  OS 


OSNCO'^t- 

1-H  00  o  cb  -^ 

OS  OS  O  Os  c» 
CO  -^  CD  CO  t- 

t-  I—  t— 1~»  r- 

OS  d  OS  OS  OS 


t—  ■»?•  1-H  00  r-  OS 

CD  »C  ^  CO  coo 

00  r-  CO  -^  N  o 

000s  Or-t  NCO 

t-t-  00000000 

OS  OS  OS  OS  OS  OS 


ocorfN 

SCO  LO  »0  CO 
co-t  OiO 
,  NNOCq 
W  O  t-  00 


'h-COOt-         1-H -t*  N  CO  N         M'OOOONOO 
5OSCDCOO         ■^C0cO00'«t«         "     "■  —  '      — 


i-HN05coto      "n'Nr-i-H- 


OSOOi-ii-l 


INNCOCO       co-^-^-^Tp 


t~-  OCOCO  o 

*0  CO  »0  CO  r-H 


»  CD  OS  CO  CO         OS  N  "^  t- OS         »-H  CO  »0  t 


00000000        OOOSOSOSOS        ososososos        OSOSOSOSOS 


10  iC  lO  lO  lO 
OS  OS  OS  OS  OS 


OsoOOSiOi-t  *-<00i0U5O  COCOC 

COLOt—COCO  t- lO  OS  OO  CO  CO  OS  c 

t-- CO  CO  CO  t—  O  CO  "^  t^  OS  O  O  »■ 

ONCOlOCO  OOOSO1-HN  -^vOC 

CO  CO  ^  CO  o  CO  CO  t-- t— t—  t— r^  I 


1-H  00  lO  N  i-#  CO 

00  CO  N^  10  M 

OS  00  t- »0  CO  1-H 
QO  OS  O  1-H  d  CO 

t-  t*  000000  00 


ososososos        ososososos        ososososos        OS  OS  OS  OS  OS  OS 


OOTf  (N 

8t--  coco  -n* 
-Tj^lO-HCO 
,   (NC^OlM 

I  Nor-oo 

06060606 


'^  »— COOl^ 

co  N  CO  CD  r— 

<M  O  CO  CS  t- 

OSOOl-Hi-H 


T-^'J'NCON 
C^  COO  Tfi  CO 


'^QOOONOO 
00  1-H  t—  00  "*!* 
_   .      _     _  »0  CO  CON  *0 

NCDOCOCO       OSN'^l—OS 
NCSCOCOCO        CO'^'^'^-t* 


00  OS  OS  OS  OS       ososososos       ososososos 


OS  t-  NNiC 

CO  I-H  Tt^  r-  .-H 
CO  t—  CO  "-J*  N 
^H  CO  lO  h-  OS 
»0  »0  iO  lO  lO 

OS  OS  OS  OS  OS 


OS  00  OS  lO  1-H 

b-  CO  00  -^  ■«»< 

00  -t*  OS  -T  00 
C3NCOIOCD 
CO  CO  CD  CD  CO 

OS  OS  O)  OS  OS 


,-H  OOuOiO  o 

GO  CO  O  OS  -^ 

t-H    -r^H   t-    GC  O 

00  OS  O  1-H  CO 

CO  cor-  r*  t>. 

OS  OS  OS  OS  OS 


coco  O  00  1-H 
rf  O  CO  '-'  f^ 
1-H  C^  N  N^H 

'^r  lioco  t-  00 


1-H  OOiON^cO 
OS  t—  CO  CD  CO  CO 
O^oOco-T-N 
OS  OS  O  .-H  N  CO 

t-t-  00000000 


OS  OS  OS  OS  OS  OS 


I   N*0  t-00 


1-H  '^ot-'n* 

N  t-H  00  *f  <N 
M*  CO  OS  t—  00 
^  O  CO  N  t- 
OsOOi-H»-i 

000s  OS  OS  OS 


OOi-HOsOOS        ^lOiOOSiQ         0"^OSOS 


uO  »0  t—  O  O 

"^  TT  .-H  CD  r— 


OS  N  06  CO  10 
CO  ■'t  OS  CO  CD 
ojCOtJCOCD        o  N  ■^  t— OS 
NNCOCOCO         CO  TJ* -^J* -rp  -rjf 

OS  OS  OS  OS  OS        ososososos 


OSOSN 

F-  66  r-  10  CO 

1-H  CO  »0  t—  0> 
lO  »0  lO  »C  W3 

OS  OS  OS  OS  OS 


cp»iO  CON  00 
00  t-  OS  10  Tp 
OS  10  o  »0  OS 
ON  -1-  IC  CO 

O  CO  CD  CO  O 

OS  OS  OS  O  OS 


OOlONNr- 


OS  OS  OS  OS  OS 


Oco  r— »«  CO 

lO  »-t  CO  N  t- 

-  —    )e^ 


N  CO  CO  CO  < 

■^  o  CO  r-  ou 

OS  OS  OS  0>  OS 


OOiQNOSOOO 
OS  00  T*  CO  CO  -^ 

»-H  ocb  t—  10  CO 

OS  O  Q—*  N  CO 
t-  00  00  kjO  X  00 

OS  OS  OS  o)  OS  o:> 


OCD-^N 
Y  NNON 

06060606 


■»*(—  COOb- 
N  1-H  00  U-?  N 

iQ  ^  OCCOS 

Nor-  Nt- 

OSOOi-Hi-H 

00  OS  OS  OS  OS 


1-H-^NCON        '^OOOONOO       Ost-NN 


S  to  CO  OCO 
■-j<  lO  N  t—  00 

NcO  OcO  CO 

NNCOCOCO 
OS  OS  OS  OS  OS 


OS  N  cO  OS  lO 

r-  tQ  o  -^  t— 

OSN  10  t-  OS 
CO  ^  "^  '':J'  ^ 


CfS  N  *0  CON 
000s  coco  'Tf' 
1-H  CO  u5  I— 01 
lO  >0  to  lO^O 


d  OS  OS  OS  OS       ososososos 


OS  coos  liO  1-H 
00  t-  OS  lO  10 
OcDi-H  O  O 
1-H  N'T  »0  t- 
CO  CD  O  CO  CO 

OS  OS  OS  OS  Os 


th  ooio»r;o 

OS  t-1-H  0»0 
MO^i-H  N 


coco  t- t- t- 

OS  d  OS  OS  O) 


eOcDOOOi-H  1-H  CO  »C  N  1-H  CO 

iO  1-H  TT  N  00  O  QO  "»?' r- r- -^ 

CO'q"*'^CO  COi-HOCOCp'^ 

■Tj<  10  CO  t—  00  OS  O  -H   1-H  N  CO 

t-t-t-t-l—  t-0000000000 

O  OS  O)  d  CS  OS  OS  OS  OS  OS  o> 


OCD-^N 
00  t^  t-iO 

8r-  co'fos 
NNON 

I  Nior-  GO 


ON 

r-  GO 

06060606 


•^  t— coot- 

N  — (  00  to  N 
CO  to  1-H  01  o 
NO  t-NoO 
OSOOi-Hr-H 

00  OS  OS  OS  OS 


^H-^NCON        -^COOONOO        Ost-NNtO 
cOtOcOOcO       OS  N  00  OS  to        OS  C^  to  CO  N 


OS  O  01 1—  »0 

,,^^_,,    _-.,       .-        _-  i-H-7<lOt—   OS 

NC^COCOCO        CO"^-^'^'rf<        lOtOtOiOtO 


S  CO  CO  GO  OS         00  CO  I-H  to  C- 
"    ->OCOCD       <7SNtOt-Os 


OS00OS»O»-l 
CO  t-CSVOiO 
1-H  t-NI—i-H 
r-tN"^tOr- 

CO  CD  CD  CO  CO 


ososososos     Ososososos      Ososososos     Ososososos 


1-H  OOiO^OO 
OS  t—  1-H  OiO 

■rr  r-  ONco 

00  OS  1-H  NCO 

CD  CD  t—  r- 1— 

OS  OS  OS  OS  OS 


O  CO  ■^  t—  t—  "^ 
-5"  N^H  OS  r-io 

OSQi-Hi-HNcO 

t— 0000000006 


OS  P)  OS  O)  O^       OS  OS  0>  OS  OS  OS 


<ONO00 

^_  t-l-  ^ 
Q  00  gs  »c  o 

0  NN  O  CO 

1  N  to  t-  CO 


O^  OS  CO  CO 
NCO  r—  -^  N 

r— CO  N  O1-1 

NO  t- CO  CO 
OsSo^i-H 

000s  OS  OS  OS 


I—  OCO  OS  00 

to  »0  t—  OS  to 


O-^  -^  00  -^ 

OS  N  00  00  to 

O  r-  N  CD  OS 
_      _     _       .  .  ON  tor-OS 

NNCOCOCO        CO  ^ '^  rr*  f 

OS  OS  OS  OS  OS   OS  OS  OS  OS  OS   OS  OS  OS  OS  OS 


lOCO0000'"H  »0-^lO»HI-. 

OS  N -^  r- N  oor-osio-^ 

O1-HO0OCD  NCOCOOON 

N  Tj<  CO  r— OS  1-H  N  ■^  to  t— 

lOtOto^OtO  cOcOcDcOCO 


r*  --ji  ,-1  F-(  CO 


OsNco  -^  r 
■^i-<coNr 
10  CO  CO  CO  L 


ososososos        O  OS  OS  OS  OS 


t—  -"I? -H  CO  r-  OS 

OS  00  -^  CO  cC  CO 
n'CONO  OP  CO 
Os  0*-H  C^  N  CO 

r— 00  00  00  CO  CO 

O  OS  O^  OS  OS  OS 


S  t»  CO  r-4 

)  coco  Tt« 

lOcO^ 


;   N  to  t-  00 

06060606 


coco  NOICO 

CO  t>  CO  -4  N 
N  O  t—  CO  CO 
OSOO--Hr-4 

00  OS  OS  OS  OS 


OCOi-HN»-4 

»o  -f  t-  OS  to 


INCOCOCO 


OS  OS  OS  OS  OS 


CDN  tOt—  o 

rr  '^^  'tj*'^  lO 

OS  OS  OS  OS  o> 


00  co^^  -^ 

GO  »-H  If*  t-  1-H 

i-hN^hosI- 
N  '^CO  t—  OS 

iO  to  to  to  to 

OS  OS  OS  OS  OS 


00  t—  00  M*  o 
t-  CD  CO  TT'  'ft* 
CO  OS  -^  OS  CO 
I-H  N  -^  to  t— 
CO  CO  CO  CO  CO 
OS  OS  OS  OS  OS 


.  Tt* -f  O)        NiOOSt-O 


CO  OS  N  CO  to 

COOS  ^  c5  CO 

CO  CO  t-  t-  I— 


OS  OS  O  OS  OS 


Ot--^^  ON 
OS  t—  CO  CD  «©  CO 
to  '^  CO1-H  ^  t- 
OSQ^H<MN  CO 

t-  00  00  00  00  00 

OS  OS  OS  OS  OS  OS 


OO-rfNO 
iO  to  to  CO 

o— « t-  ci 

cocooco 

Nto  t-  06 


N  to  ^  00  «0 


OsNOi-h  O 

CO  CO  CO  00 1* 
06  OS  CD  O  N 

Ncoo-^r- 

NNCO  coco 

OS  OS  OS  OS  OS 


N  CO  CO  O  CO 
t-  OcO  I-  CO 

T^  OS -n  CO  1-H 
O  N  lO  t-  O 

•^Tf  -r  to 

OS  OS  OS  OS  OS 


t^  lO  O  O  CO 
r—  o  coco  o 

C«CO  N  000 
N'^cOOCOi 
lO  to  to  to  to 


CO  CD  CD  CO  CO 
OS  OS  O  Ob  Oi 


OS  CO  CO  C^  00 
CO  to  CI  CO  N 

r-  ON-Po 

OOOi-HNcO 


OS  OS  OS  OS  OS 


1-H  --^  00  CD  OS 

coos^O"^ 
t-  t-  oooor- 
-^  toco  t-  00 
t- 1- t-r-r- 

OS  OS  OS  OS  OS 


OS  CO  COOOS1-H 
t—  CO  N  *o  ^r  N 
CO  tO'V  N  O  CO 


OS  OS  OS  OS  OS  OS 


Oi-HNCO-^        lOcDt-OOCS        Oi-HNCO-*»«        lO  cO  t- CO  OS        O  — *  N 


»OcDt-00OS         Oi-hNcO"^        lOCOt— 0001         Oi-HNCOTTtO 


NNNNN        NNNNN         CO  00  CO  CO  CO        CO  CO  CO  CO  CO 


O-^CONCD         O^t^OONc 


O"^00NC0 


<O0NcD        O^OONCO        O--t<00Nc0 


NNNCOCO         TjiTPTjtiOtO        OOOi-ti-H         NNNCOCO         ■<r'^'^iOtooOO>-Hi-H 


l^^ 


Nto        O-'I'OOMcOO 


TABLE  V. 

The  Finding  of  the  Azimuth. 


[Page  161 


s^ 


O  M*  OQ  C^  CO        O  f  OO  C^  CO        0^*00  0^(0         O  "f  00  C^  eO 


C^  C^WCOCC 


OOO^-i^ 


cscsc^coeo 


"^OOC^tO         O-^OOM^D         O-*00C^tD         0"^QOC<«DO 
f-«riOiO        000»-«i-t        C^C^CSCOCO         Tf'^'«ri0«30 


»0  <D  t>- OO  Oi        O  »-<  W  CO  ^J' 


jcpr-ooo     or-*c:?M:T     "255!::?e55     Pr^?'?^;*'     ''^fot~£?«'     S:^S25S:7;     ^JS^SS^S 


to  LQ  to  O  us        lO^^O^        CO  CO  O  CO  to       <OcOcOcOco 


t^  t- 1*  c>-  r- 


-1-- 1^  t^t^ 


OQCCQOWCC        00  00  00  00  00  O:) 


oocSttjJ^h  tC)OOoor»M 

CO^OOlOC^  OO^OtCtN 

c5coc*?'*«io  up  CD r- 1— oo 

OOOOOOCOOO  0000000000 

Od  03  03  03  C^  Od  Od  Od  O)  Od 


00  00  00  OdO> 


»-i  to  O  ^  00 

T-i  ^  cs  04  05 
o^  o>  o>  a  o> 

Od  O  O)  o  o^ 


0>  Od  O)  o  o% 


03  0)0)0^ 


■^C^COiOCS 
CO  OiO  Oi  •-< 


O  iO  t^  »0  O 
C4  C-*  O  t  -  CO 

Oi  ^H  CO  ^J*  ^ 

lO  CO  '^  '£i  CO 
O  03  O  Oi  o> 

0>  03  0>  Od  09 


ot^oo  to 

t-  05  ^  .-H  CT> 
l-oOOi-H.-t 
CO  CO  r-  I-  r>- 
0>  03  Ob  O)  O^ 

Od  O^  Od  O)  Od 


O^O^iO  ^00  u? 
CO  C^  t^  O  04  CO 

^COCO  -T  ^  *^ 

r—  r-  t—  t-  r-  l- 
0  o  O  o  o  o 

O)  9d  O  O)  O^  O 


COOO'^iO        C4r^OP4CO 
»-icocCr*"^        Oi»-»CSO:0 


0006060006 

Od  0&  Od  O^  03 


O^  0%  03  O)  O) 


C.  *9*  05  "^  00 
00  O  Oi  o  o 
00  00  00  o>o> 

Cd  0>  O)  O)  o 


OOiOuo  CO 
CS  --r  cc  ^  CO 

CO  i^  — <  »c  oi 

.-H  --«  CS  O*  ?4 

Oi  C^  OS  03  o^ 


U3pO^C4 

Qi  *  r-  CT'  00 

CJCC  OS  CSlO 

CO  CO  CO  ■^  ■^ 
0>  Od  03  OS  OS 


OS  OS  OS  OS  OS        OS  OS  OS  cs  Os 


^OS04  04  00 
00?  -^  '^  (N 


3COCOCOCO       cDr*»t^f^r 


OS  Cs  OS  cs  OS       OsOSCsCsOs       cscsOsCsOs       Cs  CS  A  OS  Os 


cs  OS  ^  OS  cs 

ObO>cs  OS  cs 


,-(,-( r^  .-•  o  t— 

O  too  -^  CD  CD 
•rr  ^T*  lO  lO  lO  to 

cs  OS  OS  OS  cs  OS 

Cs  cs  cs  Cs  cs  OS 


-  00  o  o  t^ 


M-  00  o  <  _ 

coco  f-H  00  ' 
(MCO  -^  '?"  "^ 
00  00  00  00  00 

OS  OS  cs  cs  cs 


i-HcOCS'-'C^ 
c*«  -^  -^  CO  '— 
^H  r~-co  OS 
CO  CO  t^  r-  ut^ 

00  00000000 

OS  cs  OS  OS  cs 


C4cO"ti  OOCO         OS  C 


CO  cs         CO  »0  »0  CO  o 
-  OtoOtOO 

OS  cs  O  O  -— I 


OS  cs  Cs  OS  OS 


"^  00  cs  CO  O 
.-H-^  C4  CSCO 

O  OS  OS  OS  cs 

cs  cs  OS  OS  cs 


■^ososccn-'  10  CO  r-- CO  o  ocooocO'-t 

C4  CO  OS  *-<  •— <  OS  CO '—"O  00  OS  00  CD  CO  cs 

-^r^O-^t^  0S04»OI-0S  i-HCO»OI--CO 

COCO-n"-^-^  "^tOiOtOiO  CDCOCOOCO 

OS  OS  OS  OS  OS  cs  cs  OS  OS  OS  OS  ^  ^  OS  OS 

cs  cs  OS  cs  ^  OS  cs  OS  cs  Cs  cs  cs  OS  cs  ^ 


i-(oo»-H-H  r* 

CO  wi)  I^  t-  us 
0'-<C^CO"<J^ 

t-  t^  i>- 1--  r- 

OS  OS  OS  cs  cs 

cs  OS  cs  cs  Cs 


O  OCOOCSCD 
CO  OS  CO  I-  00  OS 

to  uo  CD  ^  CD  CO 

t--  t^  t—  r-  t^  t— 

OS  cs  cs  cs  CS  cs 

cs  Cs  OS  cs  OS  Cs 


o-*"^oacs 
r*^H  CO  (Ncs 
r^  to  04  OS  us 


cs  OS  cs  Cs  cs 


r--ooOco  00 

to  I-^  CO  CO  C4 

__, ^HCO-HCDi-t 

O  r^  cC  cc   OS  OS  O  O  •— « 
""""-'"   oooocscscs 

OS  cs  cs  cs  OS 


-m  i^-  t-  us  1-1 

C^  00  '^  OCO 
)  00  00  00 
OS  Cs  Cs  cs  ^ 


t^O  --H  000 
to  O  TP  00  1-H 

1-H  C^  (M  C»  CO 

cs  cs  OS  OS  OS 

cs  cs  OS  Cs  cs 


- O00C41-HUS  us-^eOr-tco 

CSC4COCO         (MOO-^COO  i-l  ^  OS  CO  »-< 

--'      »-ieocooo.-<  couscoooo 

lOtOUStOCD  COCOCOCOI^ 

Cs  OS  OS  OS  OS  cs  cs  cs  OS  ^ 

cs  OS  OS  OS  OS  cs  cs  cs  OS  Oi 


I  ^  00  CO 
.     _>C4CO  "" 
to  00  C4  to 
CO  CO  -^  "^  T' 
cs  OS  cs  OS  OS 

OS  OS  Cs  cs  OS 


5  cs  OS  00       to  <-!  CO  OS  i-t  <N 


OS  OS  OS  o  cs 
cs  OS  OS  cs  cs 


to  us  i-*  us  "^  1-t 
to  <-!  CO  Csi-t  <N 

CO  r*  t-*  i^  00  CO 
t^  r^  i^  r-  r^  r^ 

cs  OS  OS  OS  OS  OS 
cs  OS  ^  OS  OS  Cs 


•-H  to  lO  OS  o 
OS  CO  to  "^  o* 

oocoeoor^ 

cs  CO  rp  to  us 

0000000000 

OS  OS  Cs  OS  OS 


t^CStOt-^OO        QOOS^"^CS        us 


cocscsr-co 

Sosusf-tr*  c^ t-- CO r^  04 

CO  r- 00  00  OS  OS  O  O  1— ( 

0000000600  oocccscsos 


_    .  usooo 
OS  c^  CO  coo 

CO  ^H  to  OS  CO 
^  04  C4  cs  CO 
OS  cs  Cs  OS  OS 


CSCsCSOSCs        OsCsCSCsCS        OSCSOSOsCS 


o  us  us  OS  t>« 

t^  i-H  -^Ji  us  to 

coococoos 

CO  -^  -^  TT  -^ 
OS  Cs  OS  OS  OS 

O  CSCS  OS  OS 


i-40SCOC»lcO  cOC^-^Nh- 

rrOcOOC*4  COCOi-HOOcO 

csusr-ocs  -^f  CO  cc  OS  1— I 

»0'0»OCOCO  cpcpcOcDt 
Cs  ^  OS  OS  OS 

Cs  OS  OS  Cs  OS 


cs  Cs  OS  OS  OS 


Cs  cs  ^  OS  Cs 


t^-*  t^t^  CO 

r*Oi-ti-to 

C4  rj'  to  CO  t- 

t^  t^  t^  t^  t^ 

OS  OS  cs  O  OS 

OS  c;  cscs  OS 


coco  C4  CO  us  04 
t*  CO  00  1-1  CO  ^ 
t^OOC 


)ooosos  cs 
OS  OS  OS  OS  OS  cs 

OS  OS  cs  Cs  OS  o 


scocot^oo  us  o  CO  us  CO  CO  f- cs  ^  t— 

::ust^cOCO  00  1-H  ,— I  OS  to  OS '-<'—«  O  CO 

3  r- -^  t-H  00  "^  .-H  t^  cs  00  CO  OS 'S^  OS  CO 

^co■'TU5lO  CO  r*  r*  00  00  ososoO'-h 

DCOQCOOOO  0000000000  OCOOCSOSCS 


Cs  cs  OS  OS  OS   OS  cs  Cs  OS  OS   cs  OS  cs  cs  Cs 


CO  cs  CO  00  CO 

1— t  'T  to  'S"  cs 

00  CSCDO  "^ 
— 1  cs  C-1  CO  CO 
OS  cs  OS  OS  Cs 

OS  OS  OS  Cs  Cs 


oococot^us      csr^i-iO'^ 
oococor^r-      tocsoccs-^ 


i-^  ^^  -^  r-  o 


CO  CO  OOr-l  CO 


,.     .  fto        tOtOuscOcO 

OS  OS  OS  C^  cs       OS  OS  Cs  OS  OS 


OS  Cs  O  OS  OS        OS  Cs  OS  OS  OS 


■^O  C^O  to 
tOtOCO  ous 
tOI^OS^  cs 

CO  CO  CO  I—  t^ 
OS  OS  OS  OS  OS 

OS  OS  OS  cs  OS 


us  CSUS  lOr-t 

CSCS  cocoes 

CO  us  CO  t^  CO 

OS  OS  Cs  OS  o^ 
cs  OS  OS  OS  cs 


'<*'  Tf  O '^  CO  o 
OSUS  oco  to  o 
OOOSOOO  CD 

i>.  r^  00  00  00  00 

Cs  OS  OS  OS  cs  cs 


OS  OS  Cs  OS  Cs  cs 


e*s  r- 1>- <-!  cs  Cs-rf*i^a>o 

CSCOOOOOUS  CSC4CSOr- 

»-iOOtoCSCs  us  cs  CO  ^J*  OS 

cocOTTtous  cor~-i>-oooo 

OOOOOOCOOO  0000000000 


OS  OS  Cs  OS  OS        OS  OS  OS  OS  cs 


O^COCOi-l 

1— I  coco*-*  CO 
to  Ous  O  M* 

c:s  o  o  ^  .-H 

00  OS  OS  OS  Cs 
OS  OS  OS  cs  OS 


t^cor^c<»o 

CSUS  coco  TP 
OS  CO  t^  '—t  us 
^CS  CSCOCO 

OS  OS  Cs  OS  OS 


cs  I-^l^.-i  OS 

O  -^  t^  OS  00 
OS  C^  us  CO  1-1 

CO  -^  -^  "^  us 

OS  cs  OS  OS  OS 
OS  OS  OS  cs  OS 


CO  •-»  us  -!j'  00 


to  to  to  CO  CO 
OS  cs  Cs  OS  OS 


OS  Cs  OS  OS  cs 


00  Tf  o  -^os 

COCCOCSCO 
COCDt^  t-  I^ 

OS  OS  OS  OS  ^ 

cs  Cs  OS  cs  Cs 


OS  cO  csos  us 

oco '«r  3*  CO 

to  CO r^ coos 


OS  OS  cs  OS  OS 


CO  00-^  00  r-  V 

CO  00  00  CO  00  CO 


OS  cs  OS  Cs  cs 


OS  OS  OS  <^  OS  OS 
OS  cs  cs  OS  OS  OS 


coi^r^^cs 

cor-  OS  OS  CO 

C4CSCO  CO  O 
00  06  00  00  00 


oco  ro^  CO 

i^  CO  cs  to  o 
CO  r-  t^  00  OS 

00  00  00  00  CO 


OS  cs  ^  cs  cs   OS  cs  cs  OS  OS 


O—iCOcO— I 
cs  -rj"^  cs  OS 

OsO  O^  «-H 

00  cs  OS  c:s  OS 
OS  ^  OS  OS  Cs 


t-cOI^CSO 

CO  CO  r-  r-  to 
O  "TT  CO  C4  CO 
cs  CSCS  CO  CO 
Cs  OS  OS  OS  Cs 

OS  OS  OS  Cs  OS 


cs  t^r^  1-H  cs 

1-4  to  CO  O  OS 

ococo  o  cs 

^  OS  OS  OS  cS 
OS  OS  cs  OS  cs 


to  to  CO  CO  CD 
OS  OS  OS  cs  OS 


OS  OS  OS  OS  OS 


00  -^  CO  -^  cs 
t^  r^  to  CI  t^ 
r^  OS  .-I  CO  ■n' 
cc  CO  1^  r^  I-- 

cs  OS  OS  cs  ^ 

OS  Cs  cs  OS  A 


OS  CO  OS  OS  us 
rH  -r  to  us  "^ 
CO  r-  00  cs  O 
r^  r^  r- 1^  00 

cs  OS  OS  OS  o 
Cs  OS  Cs  cs  Cs 


00  00  -^  00  b-  -rr 

^H  i>- cs  to  r*  CO 
1-H  rH  cs  cs  cs  cs 

00  00  00  00  00  00 
OS  cs  OS  ^  OS  Cs 


OS  cs  cs  cs  Cs  Cs 


>■*  -^00  o 
"  000  OS  CO 
?O00-^i-t 

Sotootooo 


03  cs  OS  OS  OS 


CO  i-t  '^^  to  I-- 

.-I  Tf<  Tf  CSOO 

COtTOcD  ^ 

CO  r^  00  00  OS 

CO  00  CO  CO  00 
cs  OS  OS  OS  OS 


r-*  000  CO  00 

cs  M*  to  CO  OS 

r~  cs  r^  oi  CD 

OsOOi-t  i-( 
CO  OS  OS  cs  OS 

cs  OS  OS  OS  OS 


^^  to  OS  CO  r^ 

cs  cs  04C0C0 
OS  OS  OS  OS  OS 


cs -^  ■-1' CO  CD         O  CO  cs  .— I  to 


.    ._, OSUSi— iiOt^         — 

i-t-^t-^i-tTj*        cOOSCStPCO        OOOC4"^US 


^  COOSOO 

■    —    ^-    ,-t    TJ» 

,      _      ^  tous 
OS  OS  OS  OS  OS 

OS  OS  Cs  OS  Oi 


to  us  o  CO  CO      CO  t^  r- (^  r-      t^r-r^cooo      coco 

O  O  OS  OS  OS         CS  OS  OS  OS  OS 


OS  Cs  Cs  OS  OS       cs  OS  ^  ^  ^ 


coco  COCO  cs 
cs  to  CO  CD  to 
^  oooso  »-^ 
■^r^r^co  00 
cs  OS  cs  cs  Cs 

OS  OS  OS  OS  OS 


^Sc 


1 1—110  "*  1-t 

)COCOOOOS 

I  CO  CO  CO  CO 

J  0600  CO  CO 

OS  OS  OS  OS  OS  cs 


OS  OS  OS  OS  Cs  OS 


cor-r^— *C4 
M"  oooot^ 

■^  .-H  OS  CO  cs 

S'^  TP  US  ^ 
OC'  00  00  00 

Cs  ^  cs  OS  Cs 


cs  Tj«  t^  OS  O 

^  -^^csos 
OS  us  i-H  h-  cs 

cor-  00  00  OS 

00  CO  00  00  00 
cs  ^  OS  OS  OS 


O  i-t  CO  CO  ^ 
CO  us  »0  CO  O 
00  CO  00  CO  00 
OSOO  ^  .— I 


'CO  00 
06  OS  OS  OS  OS 

cs  OS  A  cs  OS 


r-  :0  r-  cs  O 

■^  r-  CO  00  CD 

C^cOO'^  CO 
cs  CSCOCO  CO 


cs  OS  OS  cs  Cs 


cst-r-^C5 

CSCDOS'-H  O 

cs  us  CO  cs  us 

-^  rji  ^  to  to 

OS  OS  cs  OS  o 
OS  cs  cs  cs  Cs 


CO  -— t  us  -^  00 
OS  CO  —» to  I— 


to  CD  CD  O  CD 
OS  OS  OS  OS  OS 


OS  OS  OS  OS  OS 


CO  Tf  CO  -^  cs 
CO  00  yD  CO  00 
OS  >-(  CO  us  to 
o  r--  t—  r-  t-- 
OS  Cs  OS  Cs  O 

o  ^  A  cs  ^ 


00  cso-H  cs 
r--  t—  CO  00  00 
OS  cs  OS  cs  cs 

cs  cs  OS  cs  ^ 


00  00'*  00  r-  ■ 


Cs  O  OS  OS  OS  ^ 
cs  cs  Cs  Cs  Cs  cs 


cor-r-^cs 

-^oooor- 

tOCSOt-CO 


OS  OS  OS  OS  Cs 


OS  Tt*  t^  OS  o 

^^  ^escs 

oco  C4  00  CO 

t-  r-  00  00  OS 

CO  GO  coco  CO 
cs  ^  OS  OS  Cs 


Or-4CO  CO  ^ 
CO  us  to  CO  O 

OS  o  o  ^  .-< 
OC  Cs  cs  OS  OS 

OS  OS  OS  OS  OS 


r*  CO  r-  cs  o 


-  ^  OS         CO  ^  to  '*  00 


■rrr— oococo      cscoosi-ho      oscOi-itot—       -_    -, 

CO  t^  1— <  us  OS   CO  CO  OS  CO  CO   cc  i-H  ■TP  :o  00   O  CS  ■- 

-^  "" ^-  —  —  10  to   to  CO  to  CO  CO   1—  I—  r 


OS  OS  ^  OS  OS   OS  cs  cs  OS  OS   OS  cs  OS  cs  OS 


^  OS  OS  OS  cs    OSCSOSOSCS    OS  cs  O  cs  OS 


OS  OS  OS  O  Cs 
OS  Cs  cs  O  Od 


cs  CO  OS  OS  to 
cs  to  CD  CO  us 

osc5^  csco 

I>  00  00  00  CO 
cs  OS  OS  cs  OS 


^  ^  Oi  Oi  Oi 


00  00  Tf  00  I--  -^ 
cs  00  CO  CO  00  OS 

"^  -■»'  to  to  to  us 
00  00  CO  00  CO  00 

c^  OS  cs  OS  cs  Cs 

OS  cs  OS  OS  OS  OS 


cD  CO  1— '  t^  ^f   ^H 


OS  OS  OS  cs  cs 


to  Oco  us  CD 
1-t '*?•'*  cs  00 
COS-* 
r-r-oO^CS 

0000000000 

OS  OS  OS  OS  OS 


'^  I--  OS  cs  t- 

cs  rr  ■*  COCS 
O  us  O  10  OS 

O  O  «—<•-<  -H 

OS  cs  Oi  cs  Cs 


OS  OS  OS  OS  ^ 


CO  cs  ^?  00  -^ 
■*  t-  cor-  to 

-f  OOCSCO  o 
cs  cs  CO  CO  -* 
Cs  Cs  cs  OS  Cs 

OS  OS  CS  cs  OS 


CO  CO  CO  r-  us 


csr-^O'*'  -^ocsous  »ocsu:>usi-i  -^-^om-coo 

00tO«-itoI--  COOOCOCOCO  04totOcOtO  CSCOCOCDOOOS 

CSCStoi—  OS  •— tCOUSr—CO  Oi-hCSCO-*  tOtOtOCDcDcO 

lOcococDco  r-r-r-r-r--  oooooooooo  oooooocococo 

OS  Cs  Cs  OS  OS  OS  cs  OS  OS  Oi  OS  cscs  OS  OS  cs  OS  OS  OS  OS  cs 


OSCSOSOSCS        OSOSl^OSCS        cs  ^  OS  OS  OS        OSOSOSOSCSOS 


04  CO  CO  O  ^H 
cor-cs©-* 

I^  ^  ^  CO     _ 

oooooooooo 

05  OS  OS  OS  OS 


_    _  00  CO  -X)  00  OS 

CsOscO        Ococo^t- 

cs  00  '^  o  us 

r-  r-  CO  OS  OS 
oooooooooo 

cs  OS  cs  OS  Cd 


OS  O  Ol  to  O 
i-<  -^  <*  cs  O 
— <cO  ^  CO  O 

00  ^  -^  cs 

OS  Cs  cs  cs  OS 
OS  OS  cs  OS  OS 


CO  »0  CO  -H  OS 


Cs  OS  Cs  cs  0> 
OS  Cs  Cs  A  Cs 


•H  CO  toooo 

^H  lOODO  cs 
us  00  1-1 1-  - 


Cs  cs  OS  Cs  c& 
OS  O  OS  OS  OS 


CO  to  O  rr  CO 

Oco  tooc  o 

■'usioto        cOcOCOcOI— 


OS  OS  OS  OS  OS 


"- to  cs  r-       i-i-vusus-*       .-H  r 


OS  OS  cs  cs  OS 


I-  CO  <0  CO  00 

'    -  ■  to  csr- 

'CD  00  OS 
r^  r-  r-  t-  t^ 

OS  cs  OS  OS  OS 

OS  cs  OS  O  OS 


00  us  00  CO" 
^H  CSC 

OS  OS  ^  ^  cs 
OS  OS  cs  ^  OS 


t^  r-co  t^coc 


OS  C&  OS  O  OS  OS 
OS  cs  cs  OS  OS  OS 


wususOSO 
CSCOOQt^tO 
oous  cs  OSCO 
CO  TT  us  to  to 
0600000000 

cs  OS  OS  Cs  OS 


r>-csusr-oo 
oscscsoco 

64  0StO^CO 


oooooooooo 


00  cs^^  -»■  cs 
Ocsco  ^  r- 
csr-c^r-r-i 
00^  ^cs 

OS  OS  OS  OS  Cs 


to  **  us  O  CO 
cs  to  CO  CO  CO 

CO  CD-*  00  cs 
csco  coco  •* 


O  US  us  OS  r— 
O  -#r-oo  cr> 
CO  OS  c^  us  c 


OS  OS  OS  cs  OS 
OS  OS  Cs  OS  Cs 


»-l  CSCOCS  CO 
t-  CO  OS  CO  to 


«  10  us  to   CD  CO  CO  to  t 


OS  OS  OS  OS  OS 


CO  cS'^c*  ro- 
coco Tj"  ^H  CD 
CO  us  r—  OS  o 
i^  r- 1-  r-  00 
OS  OS  OS  OS  cs 

OS  Cs  OS  OS  Cs 


r-  ■*  t- 1-  CO 

oco  ^r  rr"  CO 
cs  CO  ■*  to  CO 
CO  00  00  CO  CO 

^  o  9  cs  ^ 

cs  9  OS  Cs  OS 


8  CO  C4  CO  uses 
CO  •— I  "*  cor- 
^- t-cocooo  00 

00  00  00  CO  CO  00 
OS  OS  Oi  OS  0>  OS 

Cs  OS  OS  OS  OS  OS 


OSCSOSOSCS      csoscscsos      oscscscs^ 


OS  Cs  OS  Cs  OS 


I! 


to  cor-  00 


00  OS  O  rH  < 


uscOt— 000s        Oi-tCSCO- 


lOustOUSto        loustousto        (©cocOCOcO        '^cOcOcOcO 


us  CO  r— 00  OS      o -^  cs  CO -^      uscor— ooos      o»-*csco-* 


i-r-(^r-t- 


r-t-r-r-t- 


>COt-OOCSO 


OOOOOOCOOO       cooooocooooa 


ecf  oocsto 

«=000'-t»-i 

•«ico 


O'^OOC^cp       O"<r00CSc0       o-^oocsco       o-*oocsco 
csc*c»coM      "ni-^-vtoio      ooO'-'^      cscsc^eoco 


O  O  O  i-t  •— I         CSCSCSCOCO         •*M»M«totOC 


55901°— IS 


Page  162] 


TABLE  V. 

The  Finding  of  the  Azimuth. 


gM 
W^ 


=  S3§2S    85i§ 


)  ^opc 


SSS2S    SSSSS    ?^^SS    S3S2S    8SSSS    §5^S 


O^^C^CO-^         OCDt^OOOi        Oi-«C*JCO-i«         lOcDb-OOO 


jc^c3c5c5      c3^65<mS 


CO  CO  CO  CO  CO        OO  CO  CO  CO  CO 


^  '^ 


N  CO  '^'O 


^ioo<>>^-      coot  Oit^t^ 

OlOlt— 0»        0>t--COC)'»« 

06000606     o6o6o^o^ai 


CO  ■*  >-<  lOt- 
CJi  CO  t^  O  CO 
i-H  W(NCOCO 


CO  O  X-  O  CO 
O  n*  OCO  CD 

O   01  >-H    T*<   O 

CO  CO  -^  -^  •?« 


^  Oi  0>  Oi  O) 


r^  01  c^  »o  05 

OOOfN  '^  CO 

*r  »o  »o  »o  "O 

O)  O)  0>  O)  Oi 


01  »o  o  »o  o> 

t-CJ>i-i<NcO 

»0  to  CO  CD  CO 


0>  0>  0>  Od  O) 


too  r^  CM 
1 1--  01  ■-* 

ir^coo 
icoco  t-- 

0>  03  Od  0>  O) 


»o  CO  r^  CO  o 


i-o  00  N  o  CO 
cmoo^mO"5 
cm  <n  co  co  cm 

wCMCO- 


t^  ^  <-»  TT 

-.       co^-t^oo 

t^  r*  t^  b»  t^      r-  r>- 1^  t-  !•-  00 


O)  A  O)  0>  Ok 


OaO 
I--00 

0>0i  O)  Oi  0>  O) 


.  cOeoSo 
^  r-  qO  -f  ^ 

»-<  ■^  CO  t-       00  O) 


i^r^coooo 
»o  rr  r-i  o  a> 
9?  tr  zrS?'^ 


I^  O  CO       CO  01 


00000000      oocoaia>ai 


O  CO 

CJJCO 

i-HOJ  CM  coco 


05  CO  CO  t^  CO 


^  ^- 


500»0       00— (lOCOO 


CO  CO  O  CO  *^ 


gr^OOSog        ^^OCMCMO> 
'      t--  t^  (^        C^  t^  t^  (^  t^  CO 


O)  O^  O)  o>  o 


0)0^03  0)0        O)  OS  0>  O  0>        0)0)0103  0)01 


"**<oooco      00 »-i r^ 't*  <-<      lOOQOt^c 


1-H  10  COOO 

06060006 


00  »-i  r^  't*  <-< 

»0  IQ  f-H  00  CO 
t^  COCOO  >-i 

O)  t--  ^  o  »n 


.-H  (M  CM  CO  CO 

O)  Oi  O)  o^  o^ 


CONOCO  o> 

CO  CO«  rHlO 

■^010  StO 
O)  O)  O)  O)  o> 


COC^COOiiO        irjCMOlOS"^ 


0)0^0^0)  0>        0)0)0)0)0) 


»0  W  0>cpiO  b- 

cocM  r^oo  t 

»0  -^CM  f-<  ^C 

CO  t^  00  oiox 
^- 1*  t^  r-  t^  c 

^0)0)0^0)0) 


00000000        00000)0)0)        0)0)0)0)0) 


CM  CO  OQcO 
— '>0>OC0 
.  .  _)^0)W 

r^  o>^  ^  1^ 

CO  CO  ^  ^  ^ 


r^ioooco 

COCO^OOO 
0)-H  CO  10  CO 


<  lO  »0  lO  I 
O)  O)  O)  O)  O) 


t'-  CO  b*  CO  O)        O)  c 
0)00  O  Cp  iC         0)C 


§COO' 
•-I  CO  ' 


coCM-i«cooo  oo5»ooi5t 
r-oooQooi^  t^iOTftcSc 
^HCMco-^io      ot^ooox: 


cocococot*      t-r-t-^t^t^      t^t^t^ 


0)0)0)0)0        0)0)0)0)0)        0)0)0)0^0)0) 


j  CM  CO  O)  -^         »-l  C 


00000000         00000)0)0) 


OCOrHCMrH 

)^O0C^^ 

CM  ^  CM  CO  CO 

O)  O  ^  O)  O) 


COt^t*^r^ 

t^Ocot-co 
co^ooco 


S2j 


-^  lOiO  ic  10 


O)  O)  O)  O)  O)        0)0)0  0)  o 


coo*  t>.  CM  CO 

So  ^CO  -^ 
CO  CO  CO  CO 

O  0)0  0  o 


CO  CO  CO  CO  t^ 


CM»0Ot*O       Ob*"^«-HC 


o)  000  o 

^CM  rJ*i5io 


jcOCMiOiOCM 

5  t^CO  ■*  CM  o 

>t-.oooo»-< 
-t>-t^t^oooo 


o  o  o  00      o  o  000      o  000  O  O) 


rjCMCM 
I   CM»0 


oeoococo 
t^CO^  o  t^ 


cooo     <jiOi<: 


t-  o  00  o  go 
c5coO'*cp 

O-t  OQ>-H'S 
CM  CM  05  CO  CO 

o  o  o  o  o 


O-^-^OQ^ 

*0  CM  00  CM  35 
t^OCM  lO  h- 


gCO»0  TjJ  i-H 
^H  CO  10  t-- 

^  lO  »o  »o  o 
o  0000 


5r+<  W5  ^  t* 
iCM  ^00 

3  3*  d)  -^  t^ 


)CO00t^CM 
CM  CO  ^tO  CO 

00000 


t^'^  "-too  t^o 

SCO  O  <-H  .-t  00 
O  t^  Cp  ^  r-H 


t^  t^  t^  |s- 00  CO 

o  000  o  o 


00000000       ooooooo> 


o  o  o  o  o 


8  00  00  00  CO 
*ococMr- 
,  00000 

1    CM  10  cooo 


COCOCMOCO 
CO  C^  0*0  CO 

^coor^oo 


3«-H    Tt*  t^< 


lOOcD 
^o-^co 


o  o  o  o  o 


OOcO'-t'-l'^ 
OCO  COOCO 

oooo^*^oco 
0)«-<coior^ 

0  0)0)00 


OOt^QO-^  O 

000  CO  CO  CO 
O  »0  rH  10  O) 

SO  CM  CO  -^ 
^  CO  CO  CO 


00000 


8t-*T*  Tt"  O 
CO  CM  ^  10 
COiOOOO  »-t 
CD  t^OOO  1-1 
OCO  CO  t^b- 

o  o  o  o  o 


CM  CO  ■<»<  *0  CO 


0(^-^»-)OCM 
-H  o»o  00  00»O 
CMOO  t^  ffSco 
b-  0000  O  O  «-< 
t»  t^  |>.  0.  00  00 


00000   000000 


oOT4-cqo 

i^-^J*  TfCM 
t'-oo  -^  o 
00000 

CM  io  CO  00 


CMiOr-iOOO  OCMQt-*0 

OOOOi-'O  CNCM»Ot^CO 

lO'^^OO  tococoi>o 

OOO'-'t-i  c5cMc5coco 

0000000  Oi  0>  f^  Oi  Oi 


o  o  o  o  o 


r*  ift  o  Q  CO 

.   „D  O  1-^  Ti* 
_^  -^  CO  »c  t- 


o  000  o 


I  CO  CO  CO  CO 

o  o  o  o  o 


O  OCO  CO  00 
»0  "*J«  00  t^  1-H 

St^Of-tCO 
t>-c ■ 

coco  c 

00000 


riiSJOS*^^     ocococ 


CM  OPOO  "^ 


r*ooo>oQ  ^^ 


o  o  o  o  o     o  o  o  o  o  o 


^sss:2 


_(«5^Hi-*oo 

oi^co  r^o 


o^ 


)iO*0 

o  o  o  o  o 


10  r^      00  CMco*o 


toco  CO  CO  CO 
O  O  O  A  0 


-^^-^  00  00  CO 
1-HOCOC^  t- 

SO)  »-«CO  Tj< 
r»oo^H 

CO  COCOt^b* 


ooco*-"^  ^i-Horno^co 

r*cocp»co  rMi->a?oocD 

lococp^o  »o-<j*«oqoco 

c5co^»oo  r--ooooo^H 

t>b.t>.t^l:^  t*  t^  t^  00  00  00 

o  o  o  o  o  o  o  0000 


00000)00     00000     00000 


o  o  o  o  o 


S-i^  Q  ooco 
iAiO-<^  CM 
OrHt^?^ 
^^OO-H 
CM  »0  CO  00 


00^t>.-f  .-H         ICC 


00000000      0000000 


o  000  o 


S«3*0»0  «5 

OO)  o  o  o 


coc<ico 

CO  lO  " 

-^  o 


CO  lO  N-CM 

■^  o  »oo 


»0        *0  CM  OO" 


iris  CO  CO  CO  CO 
O  O  0)0  o 


_>  to  00 1^  cS 

t^OCM  ^-CO 

coooooi-t 


f'.OTjtC^iO  iOCMOcO»Ot* 

t-r--00O0t^  cO»OTt*CMOOO 

CqcO-^^OCO  b- 00  O  O  "-H  »-i 

t>-t^t*t*r*  c- 1- 1>- 00  00  00 

00000  000000 


w  t-iOCO 

SM^OOCO 
I  CM  10  CD  00 

06060606 


•o  00  -+>  ' 

3  coo  t 
ococ 


I  00        CM  lOCO  -^CO 


0000000       00000 


•o  00 coo 

coo  COOCM 

00  -H  CO  cooo 

CO  ^  ■^  ^  ^ 


S  00  CO  CO 
^ '^COCM 
iO»OtOtO 


fOOOCOCM  CM  O  50  0  ^ 

»-H001t^l>.  «-»OCONt^ 

CO  «-H   h»  .-*  10  O)  ^H   ^  (p  t>- 

t^        O^CM-^iO  CPOOOO-^ 

w>      10  CO  o  CO  CO  ooor-t>- 

Ok  o  o  o  o     00000  00000 


'^  t----«OCM 

t^  CO  CO  ^  O 


CMCO-^iOO        t^OOOO^r-i 


00  o 
>  ,     . 

o  o  o  o  o 


SOCO  CM  Tt< 
O  O)  O  CO 

00  t^  t?5  CO  — 10 


CM  10  CO  00 

06060606 


O  CM  00  »0  CM 
00  00  -^  ^  o 

»-HOi£2'-*cO 

000  ^i-* 

0606  0)0)0 


00000 


coco  O  h-  CO  00 
^  *0  <-t  CO  CO  O 
000  t^»0  CO  i-« 
t>.Q0OO  r-lCM 

t^  t^t^oooooo 

000000 


W5 


SCOO  b-COOO 

1-1000  CO  -^  CM 
OOQOOO  «-H  CM 
t^t^t^OOOOOO 


o<-HCMcO'*      *oot^ooo      o^c^eo-^      >ocot^ooo 


Sc 


3  Tji        lOcQI^QOO)        O'-'CMCO^         lO  CD  t>- 00  O        O  ^  CM  CO -^  t 
iCM        CMCMCMCMW         CO  CO  CO  CO  CO         CO  CO  CO  CO  CO         -^  tJ«  rt* 'tt* -^ - 


S' 'S  Zt  92  ^ '^        O'iJOOCMco        O'^OOCMcO        O^00C*J*0       Q-^OOCMcO        O^OOCMcD        O^OOCMcO        O'tOONcO        Q'^OOCMCOO 
OOOi^r-H        ^CMCMCOCO         1«'*-**0«0         OOOr-t?-*        S^CMCMCOCO         ^■^-<t<iO>0        000»-lr-l        C^OIC^COCO        ^•^■<*"OtOO 


TABLE  V. 

The  Finding  of  the  Azimuth. 


[Page  163 


SO3<00C<ltP       Qt«<CQNcO        O'J'oqC^cp 


O-^OOM  CO 
OOO'-'rt 


JS8S 


(?^<D        OM'OOC^-^        O-^rqOC^CO        O'^OOC^O        O-^COWCDO 
*-—       -T-^-^OO       000<-H»-(       WC^cicOCO       -n*  "f -^  »o  »o  o 


lO^Ot^OOO 


^  lO  O  ^       u)  40  ^  ^ 


lO        CO  CDcD  CD  CO 


ss 


CO  «3  -x>      (■- 1^  r*  t- 1-^ 


lOOt^OOO       o^^c^c 


iO  O  t^  00  CI  C 


t^        OOGOOOOOQO        OOOOCOC 


^05  05  00  ■* 

I— I  »o  t-  r^  '^r 

CO  o  r-  -^  i-^ 

O'-H  --<  C^  CO 
OO  00  CO  00  CO 


•-<  CO  a>  --<  CI 

t--  -^  O  io  1-H 
CO  -^  lO  lO  CO 
OOOOOOOOOO 


03  03  C>  O)  C^       C:  G)  O  O)  G> 


M  COOOOCO 
0<M(MO  t^ 
t^(N  I>-<N  CO 

CO  r^  t— oooo 

OOOOOOOOOO 

O  O  O)  O)  o^ 


OiOOOl-*  (N 
rH  ^  lO  lOCO 
i-H  lO  Oi  CO  t-- 

00  OOOO  O^  C) 


Oi  0>  O  OiO) 


•^  OlOCO-H 
O  CO  -O  ^  OO 
O  "<f  i-^  oco 
i-«  -^  ^  (M  fM 

Oi  O  0>  03  o 


lO  CO  r-  CO  O 

coco  OOCS  irt 
CO  a>  rH  -^  CO 
C^  C^  CO  CO  CO 

O)  O^  0>  O)  o^ 


1-H  CO  <-H  .-«  1^        O  Q  CO  O  CT)  CO 


o>  O)  o>  o>  o>  o 


O  O  0>  Oi  o  o> 


ooMC^cor-      '*^05C^'«fir5      locooo^co      c^r-ic»r*»o      r-(N(Mco^ 
oj  ■«»»  o  »o  (N      r^osooo-^      cooO':7>o      Oco-^coi-i      ■    "■ 


r<C40icDC0  CT>iC'Mt--CO 
Oi-Hi-HMCQ  CO'^iOiOCO 
OOOOOOOOOO       oo 


00  "^  O  CO  OO         CO  t-^  «-!  O  05 


00000000        OOOOOOOOC 


050100Q         T-*  r-t  1-1  (N  C^ 
OOOOOlO^        OOSOiOiO 


00  CO  O  OJ  CO 
-^JWI'-OCO 

Cl  CO  CO  CO  CO 

C3  03  o>  O^  O) 


CO  Ol  •— '  <?i  *f 


0>  O)  O)  Oi  O)       03  O^O^O^O)        G^OO^O^  O)       Od  Cs  O)  O)  Od       O  0>  O)  G>  O)        O  O^  O^  O^  O) 


CO  CD  -— «  C-»  CO 
■>rr  lO  lO  o  o 
Oi  Oi  CI  O  Oi 

O  O  03  O  Ci 


CO  CO  CI  CO  M  CI 

w  TP  CO  c^  --t*  -t' 

S-^  Tp  lO  lO  *o 
lO  lO  O  lO  »o 
O^  o  o  o  o  o 

Ci  C)  03  O^  Ol  o 


t^cvi  ■*  CO  CD 
CO  ■^  »-(  CO  io 

o  <-<  c^  (^^  CO 

00  00  OG  00  00 
C3  C)  C3  C)  O 


CO  00  rH  CO -^  -^lor^o^ 

wSr-oocow  cococor-co 

rHr-eociiO  0*0000 

TT -rP  lO  W5  CO  t— r-cOCOCi 

OOOOOOOOOO  OOOOOOOOOO 


O  O  G3  O^  O       03  O)  0>  O  O 


1— I  o*-<  cO-^ 

OOi-H  CS  ^  Oi 

Tt<  C5  CO  r--o 

OlClOOi-4 
OOOO  OS  CI  Oi 


CO  f-t  i-H  lOCO 

lOOCO  -^  -^ 

'^CO^^  "^  !>• 
T-H  rH(N(NCS| 

030^00 


r^in  ciooc^ 

CJ  C7>  -"J*  DO  >-l 
O  CI  lO  t'  o 

CO  CO  CO  CO  '* 

o  CI  d  o  c^ 
0>  C)  O)  OS  o 


CJOOO  OOCO 

CI  <-"  oo  CI 
CI  ^  CO  i-^  o 


coococoo  cqwcoci^oo 

COCTiOOCO  OCtCOOCICI 

O'-'CO'*^''^  lOcOOt-l-t- 

lOOiOifSiO  iOiO»0'OiO»0 

O  O  O  O  CS  OS  OS  Cs  O  CS  Cs 


Cs  OS  CS  CS  Cs       C3  CS  Cs  Cs  OS  OS 


t-Hiomcso  t^cnot^oo  oocs^^-^cs  ift'^j^ioooo 

ujOSr-^OOO  diOOCOCs  COUOCOM'O  »OC005C:.cO 

ooiocooco  cocsiQi-Hco  cir*c»r-c»  coo-^coc) 

o--<C5coco  -^-(j^iocoo  i>-r^cococs  osooO'-« 

OOOOCOCOOO  OOOOOOOOOO  OOOOOOOOOO  oocsososos 


O  lO  IOCS  t^ 

St^Ol-H  1-1 
OS  CO  CO  cs 
1-t  .-iC)  dd 
Cs  cs  cs  Cs  Cs 


-     •MOicOClcO         _..,.. 

t^OF-Hi-i  OcOCJCOCO  cscst^-^ 
C4"^l-OS.-l         — — 

CO  CO  r.-D  CO  -5* 

C)  cs  cs  OS  OS 


OS  cs  OS  cs  cs   Cs  cs  cs  Cs  cs   cs  cs  cs  cs  OS   Cs  OS  cs  Cs  cs   Cs  Cs  OS  cs  Cs   cs  cs  OS  Cs  ^ 


CO  CI  "^  CI  t^ 

cscs  t^-^  O 

CO  O  t—  OS  O 

■«tj<  -^  -r  -^  to 
cs  Cs  OS  cs  cs 

cs  OS  Cs  cs  cs 


t^«^t^r^co      ococicoiocj 


OS  Cs  cs  cs  cs   cs  Cs  OS  cs  cs  cs 


cs  Cs  Cs  cs  OS      Cs  cs  cs  Cs  A  cs 


dcOcDO'-'        OOcOCOcOCi 

cjcocooo^o      csc5c<oco 


OOOOOOOOOO        OOOOOOOOOO 


cs  cs  9  Cs  Cs       cs  cs  cs  cs  Cs 


CSOCIiOO 
OCO  COi-f  CO 
^<  OS  Tft  cs  CO 
t^  t^oooocs 

OOOOOOOOOO 


«DiOcO^H  cs 
Ci  ocococo 

00  CI  CO  O  "^ 
CSOO— <.-l        i-(<M 

00  cs  cs  OS  cs 


OS  cs  cs  cs  Cs 


.-iOcDOOO 
O'^  t^CSOO 

OO^-^t^O 
i-(<MMClCO 

cs  cs  o  cs  cs 
cs  cs  OS  Cs  cs 


t'-"^  cs  CO  lO 
CO  CD  OO  1—"  CO 
CO  coco  M*  "^ 
Cs  cs  cs  cs  cs 


cs  cs  Cs  cs  Cs 


t^co»ococo 

coco  '^  <-HO 

■*P -^  -<f  ir:no 

cs  Cs  Cs  cs  Cs 
cs  cs  cs  cs  Cs 


ooiooooo-^r  t^  r- CO  t>- CO  CO 

O  CO -^  ■«<  CO  o  co  i-<  "^  CO  tr 

'«)<»OCDr^CO  CSCSOQQO 

lO  "0  O  lO  lO  lOiOCDCOCDCp 

Cs  cs  OS  cs  cs  OS  cs  cs  OS  Cs  OS 


cs  cs  cs  cs  cs        Cs  OS  OS  OS  OS  cs 


®  2  P  2  2^1 


OS  CO  cot- 00 
coco  lO-^'-^ 
»-(  OS  CD  CO  o 
»-«  •— I  CI  CO  -^ 
OOOOOOOOOO 

Cs  OS  Cs  cs  OS 


»OOCO  lOcO 
CD  C)  OS  !>•  CO 


00  00  00  00  00 
Cs  OS  cs  OS  Cs 


CDt^OsMt^        CONCOQOCO 


•  cs  cs  CO  "^         CSC 


100*00^0         _-     - 

t--»ooo6osos      CsOO»Hi-< 
OOOOOOOOOO        


cs  OS  OS  OS  Cs 


CI  CD 

00  o  OS  Cs  cs 
cs  d  cs  cs  OS 


OS  CO  CO  OS  CI 
rHC^WCICO 

0>  Cs  C>  Cs  09 


CSt^i-t  O'*!* 

SOcDOCl 
OOOCO^O 
CO  CO '«»<  -^  ■»»< 
OS  CsCS  Cs  cs 


o  OS  cs  cs  OS  cs  cs  cs  o  cs 


COCO^H^CO 
t—  cs  r-(  d  -«J< 

OS  cs  OS  cs  OS 
cs  cs  OS  Cs  o 


r^o»-<  <-<  o 


lO  lO  lO  lO  c 


OS  OS  cs  cs  OS       cs  Cs  OS  OS  OS  OS 


CI  CDCOO--* 
lO  CS.-t  I-)  QO 
COOOOiO.-" 
i-HdCICQ'^ 
OOOOOOOOOO 
OS  Cs  Oi  cs  Cs 


00  CO  CD  00  OS 

d  w5  lo  CO  cs 

CO  Tf  QcO»M 
■^  to  coco  r- 
OOOOOOOOOO 


CsQCIiOO 
CO  CD  CO -^1—1 
t>-C4  t^CI  t^ 

t^OO  00  cs  OS 


cs  cs  Cs  OS  cs 


OOOOOOOOOO 

OS  Cs  cs  OS  o 


epiOCO^HCS       ^HcOcOOOO       C*©'^ 


kOCOCSOSCD 

»-*  lo  OS  CO  r~-  t-t-^cO'-''" 

OOO^i-t  ^  ^. 

OS  cs  cs  OS  cs 


•-*       Ot>»dc 


OS  cs  cs  OS  cs 

OS  o  OS  o^  cs 


OS  OS  Oi  cs  Oi 


00*00000'*  r-t^cor*coco 

cocDt^r— CD  CO  cs ««3' r- OS Q 

t^COCSO'-'  C^CICOCOCO^ 

lO  to  to  CD  CO  O  CD  CD  CD  CO  CO 

OS  cs  cs  cs  OS  OS  OS  cs  O  cs  OS 


cs  cs  cs  cs  OS   OS  cs  Cs  OS  OS   OS  OS  Cs  Cs  cs   OS  cs  cs  OS  cs  Cs 


,-tioiocso  r-c^tor^oo  cocsi-«'^cs 

1-t  to  t^  CO  **  CO  i-<  1— I  cs  >0  cs —*  CI  O  CD 

to  CJ  OS  CD  CO  cs  CO  d  t- CO  00  ■*  OS  "*  00 

r-tddCO'*  -^tOcDOt--  t~-oooooscs 

OOOOOOOOOO  OOOOOOOOOO  OOOOOOOOOO 


to  ■*  tOOOO 
»M  TT  lOtOC* 
CO  t--  1-t  to  cs 

QO*-*  — *i-( 


0&  A  OS  OS  c^  cs  cs  cs  cs  cs  cs  cs  cs  cs  Cs 


o  cs  cs  d  cs 
OS  cs  OS  Cs  cs 


o  toto  c>  r^ 

OCOCOt^t^ 
d  CD  OS  CI  to 


o  OS  cs  cs  o 


i-iOPOCICO 
COCi  coci  ■* 

OOi-HCOcDOO 
CO '«r 'rr  "<5"* 

cs  OS  OS  cs  OS 

OS  OS  OS  OS  cs 


to»ocooto  csdcocod  cs 

o  CI  TT  CO  r*  cooi-(dco  co 

to  tO  to  tO  lO  tO  CD  CO  CD  cp  CO 

cs  cs  cs  cs  cs  OS  cs  OS  cs  OS  OS 


COCJCOiOCJ 
tOOCO  »o  o 
TT  to  to  to  to 

cs  cs  OS  OS  Cs 


OS  cs  cs  cs  cs         cs  cs  OS  OS  OS         OS  Cs  OS  cs  cs  OS 


COO  O"*  to 
CDi-H  fOCJ  O 

CO  Tt<  ^H  CO  '•r 

»-l  d  coco-^ 
OOOOOOOOOO 
cs  OS  cs  Cs  OS 


c^r-OCJco  co-*cocsTj» 

^  CD r*  to .— I  tor-»t^tod 

f-H  r- CO  cs  to  otootoo 

lO  tO  O  CO  t~-  ^  CO  cs  cs  o 

OOOOOOOOOO  ooooooooos 


cs  OS  cs  OS  OS      OS  OS  cs  cs  Cs 


OCsO  tOCO 
1-^  Csi-t  OOO 

•^oocor-O 
oo^<-«ci 

cs  cs  OS  cs  OS 
OS  OS  Cs  cs  OS 


»ooO'<fl«d      OTpoot^'-'      rHt^oir-ci      dosddoo      r-* -h  b»  .-*  o  t^ 


d  c^  CO  CO  CO 
OS  OS  cs  cs  cs 


Cs  cs  cs  OS  Cs 


sr-o 

C3  c^  to  r-  o 

Tf  ■^g*"»f  to 

cs  OS  C)  OS  Cs 
cs  ^  OS  OS  Cs 


1-H  oco  to«-< 
d  -^-^  to  !•-  OS 

to  tO  to  tO  tO 
OS  OS  cs  cs  OS 


to  »— I  to  Cl  >-<  1-H 

tOcDcocD  r-r^ 
cD  CD  CD  CO  CO  CD 
OS  Cs  cs  OS  OS  Cs 


OS  Cs  cs  OS  Cs 


o  OS  Cs  cs  Cs  Cs 


t^  .-*  i-<  to  CD 
— *COOO  t^'*'* 

OO^Od  CiCO 
^  CJCO  CO  ■'3' 

00  oooo  oooo 

cs  OS  Cs  cs  Cs 


COOC'-'CO'*         -^tOt^OtO 

csi-tdOcD      odd^^r* 


OS  Cs  OS  cs  Cs        cs  cs  cs  cs  Cs 


d  toco  toco 

COO"*  OOd 
OS  cs  OS  OS  OS 
cs  OS  cs  OS  Cs 


o^^»-^ioco      i>.tooood      doooooc 

cs  ■^  t^  00  oo        CO  CO  CO  d  to       CD  to  ■*  o  c 
iOOSCJiOOO        f-4-*CDCS'-t        cotor^csc 


cs  cs  Cs  cs  OS 


COOCOCOCS  ddOOdi-HC 

oco«*«-rd  o  o  o  ■*  CD  c 

C^  CO  ■*  to  O  t-t-tfSfyicrif 

cOcOcDcOcD  cOcOc 


cs  Cs  OS  cs  OS        OS  cs  cs  OS  Cs        OS  cs  OS  OS  OS  OS 
OS  OS  Cs  cs  Cs       cs  cs  cs  OS  Cs        Cs  OS  Cs  Cs  OS  Cs 


-*  CO  cod  CO 
cOOd  d  cs 

OS  r--  ■*  --H  t-- 
i-idco^;^ 

00  00  CO  00  00 

OS  cs  OS  OS  cs 


otoc^o-^      1-td-* 


OOOOOOOOOO 

OS  cs  OS  cs  Cs 


to  t^  t^  tOCi        

COCOCOCOCO         t— f-H 


ooooo  oc 


h>.00CO-H 
_  CsO  O  00 
t^,-HOOCO 

cs  cs  c&  Cs  cs 


COCQoOdO 


cs  OS  OS  OS  cs 


cs  cs  cs  cs  Cs      cs  cs  Cs  OS  cs      cs  cs  Cs  cs  OS 


Tj«  d  CO  toes 
»-«  CO  CO  r-  OS 

CO  to  00  O  d 
TT  ■'J^  "*  lO  tO 
OS  OS  cs  OS  cs 

OS  OS  cs  Cs  OS 


C5tOr>.tOO        QI>-OOCO         CsCliOCSOOtO 
..-£     .        -rc^ TjtOtOoOO^ 

c>  d  o  o  O 


I-  c6  Q  d    CO  - 
lO  to  CO  CO   CO  Ci 


OS  C>  OS  Cs  OS 
cs  OS  cs  OS  OS 


_5cococor^t^ 

OS  cs  OS  Cs  Cs   cs  OS  oo  Cs  OS  O 

Cs  OS  cs  OS  Cs   cs  OS  Cs  OS  Cs  Cs 


OOddcOr*  ■^OSd-^tO  tOcOOOc*^  d^ndr^-to  t^ddcO*  GOcOOCscO 
OtOr-cDCO  OOO^CStO  CS—^-hOcO  .-i -«*»  lO  *  d  CO  CO  cD  t>-.  I>-  lO  d  CO  <-"  * 
^COtOdCS         tQdOOCOCS         -^OtOO-*         CSCOt^^iO         5<3dtOCOr-t         '^t^CsCI-* 


•*  o  to  o  ■*  cs  CO  r- ■— <  to 

^>,^-.  »  -   ^     --  —  —  -     -  CO  OS  CSO  O  O*-?  F-fd  d  -  - -. 

OOOOOOOOOO      COOOOOCOOO       cooooocsos  oscscscscs  oscscscscs      oscsoscscs 

OsCsososo^       OS  OS  OS  d  OS      oscscscscs  OS  cs  cs  d  OS  oscscscscs      oscscscscs 


CO  cs  ^-1  Cs  I" 
to  f  CO  cs  to 

CO  «?0^  CO 
to  tO  CD  CO  cD 
OS  OS  cs  Cs  cs 

oscscscscs      oscscscscs 


■^14  i-<   ■**«  -^  O 

OSd  COCOCJ 
■*  cD  r-  CO  OS 

cs  cs  OS  OS  OS 


coddco  t- 

■f  osi-(  o  r^ 

d  cs  t^-***  O 
ddCO*  tO 

OOOOOOOOOO 

OS  cs  Oi  cs  OS 


Tfcsd^to      lococo-^co      di-idr-»o 
gSggSS 

rHi-(,-ldd 


SiOtO"*C 
^  CO'^C 


oscscscscs   cs  cs  cs  OS  d 


cs  OS  Cs  OS  a 

cs  cs  OS  d  Cs 


t^-ddco* 
d  r»0'-'  --H 

OcOlwOcO 
CO  CO  CO  ^T'  "<J* 

OS  OS  OS  cs  OS 
O)  Cs  OS  cs  OS 


CO  Oi  ^^  Oi  ^* 


cs  OS  OS  Cs  OS       oscscscscs 
Oscscscscs        oscscscscs 


rt*  ^  -*-*Q 

CO  CD  t—  r- CO 

Sr-cooso 
CD  O  CD  r^ 


COCOClCONCS 
CO  Cs  CO  t^  cs  cs 

^^c5ddd 
r*  t- 1--  r-  r- 1^ 

OS  OS  cs  OS  OS  Cs 

Cs  ^  OS  OS  OS  Cs 


■^OOOOd  CO 

coc5-^'<r  ^ 
CO— <ootod 
d  coco  ■^  tO 

OOOOOOOOOO 
OS  OS  O  OS  Cs 


CO  coco  t-  CO 
CO*  OcDd 
to  CO  t^  t-  00 
OOOOOOOOOO 


cs  Cs  cs  cs  cs 


i-td^t^C5 
r-cs  OS  r--* 
t-d  t^d  r^- 

OO  OS  OsO  O 

00  00  00  OS  cs 
OS  OS  cs  cs  OS 


r-«  CD  O  "^  00 

^  ^ddd 
OS  cs  cs  OS  OS 

OS  OS  cs  OS  OS 


SCOCOdO 
OcO  to    - 

»-<  tOOO  ^H  TP 

CO  CO  CO*  ■* 

Cs  OS  cs  cs  cs 
OS  OS  OS  cs  cs 


_ .  _       ■*dcD toos 

to  to       CO  o  to  cs  1-* 

r-  o  d  ^r  r^ 

■^  to  to  tOtO 

cs  OS  OS  O  OS 

OS  OS  OS  dOS 


cs  lO  i^  *o  o 

d  c5  o  t-  CO 

Csi-<CO  *CD 
kO  CD  CD  CD  CD 


OS  OS  OS  OS  OS 


Ot^OOcO 

t--  cs  1-1  t-H  OS 
r-COO-Hr-t 

CO  cD  t-  r-  r- 

OS  cs  OS  cs  Os 

OS  cs  cs  OS  OS 


OS  c>  toes  00  »o 
CD  ca  t--  o  d  CO 

d  CO  CO  *  *  * 

r*  t-- 1^  r-  r- 1>- 


OsCS  OS  cs  OS  OS 


S-" 


tocDr^coos      o  .-<  d  CO  * 


Oi-tdco*      to'or^cocs      0-HC1CO*      tocor— oocs 


tocDr>-coos      Oi-tdco*      to'or^cocs 

tOtOtOtOtO        zO  'X>iO  ^  '^        cDcOcOcDcO 


J  CO  ■*        »OcO  t 


t^t^t^t--t^       OOCOOOCOOO       OOOOOOOOOOOS 


■O'*00dc0        O-*00dCD        O- 

gooO'-t'-^      dddcoco      ■*■ 


'codcD      o*oodco      0"*codO      O'*oocico      O'*aodco 


ooO"-**-"      dC«C4coco      ■^  ■««<  ■*r  to  to      oooi-ii-t      dddcoco 


^OOCICD        O^iCOdcDO 


Page  164] 


TABLE  V. 

The  Finding  of  the  Azimuth. 


'ooc^--o      o-^ooe^co 


8SS22    S; 


5C^  O        O-^OOMCO 


300»-«^       cswc<icoco 


C^CD         O-^OCC^CO  < 


io^r-ooci      Oi-tMcO" 


)COI~»00O>        0-^0* 


CO  CC  CO  CO  CO 


J  cor^QO  oi      o^hc 


I  CC  -V  LO 


?  t-  00  -*  c 


00  GO  00  OO 


CO  CO  C?  OS  CD 

coc^  catoco 

O  lO  »-•  C30 
00C5OO«-« 


i-t  CM  CV»  C^  CO 


CO  030CO 
OlO  1-HOOO 
coo  0>-HCO 
CO  CO  CO  ^'  '^ 


00  CO^^- 

§CO  CD  0>C 
00OS'-<« 


00  r^  00  ■'?<  O 

OOOOCDCD 
r-lt^COt-»-H 

lOCDOO  C3>i-H 
0*0  »0  "3  CD 


Ot^'»*<  Tt<   Oi 


CD  OOCD  O 


J  "-fs  o>  r*  o 

5  65  -*<  CO  o> 

■<iO40  lO  -^ 


•-I  OiiO  CO  OO  o 

■^  CM  •-•  05  i^  ic 


oooooosoi      ocsasoios      csososoios 


C)  C3  O  O)  o       o  o>  o  o^  o^ 


Oi  Oi  Oi  Oi  Oi  a 


^C^<NCMp 


I    ^-^CDt* 


00  00  00  00        00  00  d  Ci  OS        OiOiOi  aOi 


C^CDcDOCp 
-qH  r*  CO '»'  o 

i-HOOtT  OOi-l 

TJ<  'O  OS  •■      , 

O)  OS  OS  OS  OS 


t^oooco 

-^  t*OC0t^ 
CN»CM(NOt- 

O  CO  OC^  CO 


i^  CD  r*  CO  OS 

CO  CM  -^  O  Ol 
"f  0»0  O  CO 
UT)  t-  00  O  --I 
O  O  »0  CD  CD 

OS  OS  03  O^  OS 


OS  CO  CO  CO  00 
CO  CM  CD  lO  OS 

r^  OCM  M*  40 

<>»  -^  i?5  CD  t-- 

CD  CD  OOCD 


OS  0>  OS  OS  OS 


»-H  -»»^  00  CD  OS 

ocDoor-c^ 
t-^  r^  r—  t-  ^» 
OC  OsOtMCM 
CD  CD  t^  t>.  t^ 

OS  OS  OS  OS  OS 


OSCO  COOOS<-' 
■V  CO  OS  CM  <— I  OS 

o  lO  CO  CM  o  r^ 
CO'T  OcDt^  t- 

r^  r*  t^  !>.  t^  r^ 

OS  OS  OS  OS  OS  o^ 


Sosr*  >o 
"2  LOCO 


r-.  o  o  CO  o 

O  CD  CD  CO  -H 
00  OSOO»-1 

00060606      06000SOSOS 


-^r  t^  10  "^-  >o 

■^  CO  CD  00 -^f 
O'-iOOCM'V 

r--.  1-t  TT  00 -— I 
i-iNC<c5co 

OS  OS  OS  OS  OS 


r>. .-( .-H 10  r-* 
r-»  T-H  t>-  i^  -Tfi 

CO'-I  CD  OCO 
-rj<  r- OS  C^ 'J' 
CO  CO  CO  ^  ^^^ 
OS  OS  OS  OS  OS 


C<l  OiCO  c 

00  -H  CO  O  C 
■^  10  ■n'  C^  c 
CDOO  OCS  " 


I--  CD  00  CO  CO 
CD  CS  I^CM  CD 
liO  I'-  00  o  <-« 
lOu^  lO  CD  CD 

OS  OS  OS  OS  cs 


I--  CD  O  QC  CO 
OS  CM  -rr  CD  00 
C<» -T-  U5  CD  t>. 

CD  cD  cD  CD  O 

OS  OS  OS  OS  OS 


5  OlCOi-H  ■<»<  ■rj'  •-«  C 


00  OS  <-<  CM  C^         CO -^  10  CD  t 


CD  CD  l>  l^  !>. 

OS  O^  OS  OS  C3S 


CO  OS  r^  10 

8  OS  00  CO  CD 
-(j'lO'-tO 

I   i-C^CDt^ 

06060606 


r^  OcDcoO 

CO  CO  OS  CD -^ 
CO  CM  00  CD  r^ 
I--  10  •—  t^  CM 

OOOSOO'-t 

o6o6os^os 


■^  r*  yj  CD  U3 


i-HC<ICMCMCO 
OS  OS  OS  OS  OS 


CM  OiOlO  CO 

^-<-^r  o  csco 

t^  t^  O  -f  CS| 

O  GO  OCM  -rti 

TJI   Tt*  10  »0  *0 

OS  OS  OS  OS  OS 


CM^CMOO-rJ*  -^1-HQOOOcO 

O  OS  1—1  CD  CD  OOSCM'-'CD 

os'^O-T'oo  CM  •'S' r- C3S  o 

ior*oso>-<  CO  "^  »o  CD  00 

iOtO*OCDO  O  CD  CO  CD  CD 

OS  OS  OS  OS  OS  OS  OS  OS  OS  OS 


CO  OSCOi-HTf* 
CD  5i  IQ  '^  CJS 
^CMCMCM  ^ 
C:sO>-i  CM  CO 
CD  t*  t^  l^  t^ 

OS  OS  OS  OS  OS 


r^  r^  r^  r*  t^  t^ 

OS  OS  OS  O  OS  OS 


00-^C^O 

8r-(i-li— I  OS 
1^00  "^00 

I  ^-vcDt^ 

06060606 


10  -^  '-'  00  ps 
t-tOCMt-Cvj 

000s  oo»-< 


OsC^ 

OS  OS 

TTilO _- 

t^  1-1  10  OOi-t 


OsOi^TT  O 
TT 10  CO  r--  C7S 


00  00  OS  OS  OS 


1-1  0^04  CM  CO 

OS  OS  OS  Cs  OS 


C^COCDOCD 
CO  CD  C^  CO  OS 

-'     -,r-tlQt 
■OC<^' 


CO  CO  ■^  "^  "^ 
OS  OS  OS  OS  OS 


t*  U5  O  O  CO  t^cOt^COOS 

COCDC3SCMCO  CMi-iCOOSOO 

OsOsOOr-TP  .-H  t— CM  CD  o 

cDOOOCM^  Or^CSOCM 

TfTTiiOOlO  tOOiOCDCD 


OS  OS  OS  OS  OS         OS  OS  OS  OS  OS 


OS  CO  CO  CO  CO 
W  .-*  10  "^  CO 

'*'  r^  Oil— I  CM 

CO  -^  10  t-  00 
CO  cD  CO  CD  cD 

OS  OS  OS  OS  OS 


i-H'-r  OOOOS 

CO  -rf  Tji  "^  ■-»' 

OSO^  CM  CO 

CD  r*  i>- 1^  r^ 

O  OS  OS  OS  OS 


OSCOCO  OOS'- 
CO  C^  06  ^  O  OC' 

CO  CM  o  cs  r^  --r- 

■^  lO  '-D  C^  1--  OC' 

r*  i>-  r^  r*  t^  t^ 

O  A  OS  d  d  c^ 


os»oeoi-i  cococ^^co 
.cococOf-H  ooi-^-^oco 
^        -    -  rococo--' i-i 

i^  10  CM  coco 
00OsOO<-l 


V  t^  00 10  00 

I    .-H  Tji  CD  t^ 


00000000        OOOOOSOSOS 


oco^c^r* 

(Mi-f-V  CDCM 

O.  OOlO  CSi-H 

r*  fh  lo  coCM 

^CM  CM  CM  CO 

OS  OS  OS  cs  OS 


CO  t^r^  -H  t^ 

to  00"^»O  J^ 
tQ  I^  OCM  »0 

OS  OS  OS  Cs  OS 


00  CD  »W  r-H  <<»< 

10  00 1-t ''9'  00 

^H  ^  ^  OSCD 
t^  Os^  CM  tt< 

"^  -^  ic  10  lO 


X  t^OO  M*  o 
■^  coo— '  .-I 
oj  CS  ""CT"  cs  CO 


OS  cs  OS  OS  OS 


lO  CO  r*  CD  & 
O  0  1-1  CO  O 

3-^  coI--  CO 
CD  CD  CD  CO 

cs  OS  OS  OS  OS 


c<»  o  est-*  o 

— ^  r^  csoc  -^ 
CD  CD  CO  CO  cD 
OsOt-i  CM  CO 
O  !>.  t^  l>-  l^ 

OS  c:  d  OS  OS 


CD  "V  OCO  CO  O 
UO  "^  CO  ^H  cs  1^ 

TP  to  o  r^  t—  00 
t-*  r- 1*  t^  r*  r^ 

OS  d  OS  OS  OS  cs 


CDC^OOO 
'^  cri  m  i^r\  on 


O  00  lO  CO  ■■ 


0000*000       ooocMogco 


OOOSOO»H         T-HCSIC^CMCO 


t^OCDOCO 
CM  OOCSCM 
lOOO  OCMiO 


00000000    00  00  OS  cs  OS    cs  cs  OS  cs  cs    cs  cs  cs  Cs  OS 


O  CO  CO  00  I-" 
t-OCMOO 
CO  -^  CO  •-*  OS 

r^  OS  1— <  CO  -^ 

^3<  -^lOOlO 

cs  OS  OS  OS  OS 


STf  10  »-<  t^ 
Of^COCM 

S<-»  CD  •-<  to 
00  OSi-iC^ 
1000  CD  O 

OS  OS  OS  OS  cs 


t^TP»-l»-(  CO 

CO  lO  cs  OOCM 
00  1—1  CO  O  f^ 

CO  O  CD  r-  00 

CD  CD  CD  CD  CD 


OSW  CO^JT* 
M  OS— fOlO 

OOOOCSOiQO 
C3SO«- 


cs  cs  cs  OS  OS 


coc>-t^t^r- 

CS  OS  OS  Cs  Cs 


»-H  -^  cor* 
06060606 


C«  O  1-r  00  10 

— ^or^co—t 
CM  1-1  r^  - 

00  CD  CM 

OOCSOO^ 

06  06  OS  OS  OS 


OSC«Ot-<0 


OOCO        OOCMiO  C^C 


1-tC^CMCMCO 


Cs  OS  OS  OS  OS 


CO  •-«  t^  00  -^ 
TT  c<ir-— c^r 

10  COOCOiO 
CO  CO-'T'  -V  TT 

OS  Cs  Cs  OS  OS 


^-  10  OOCO 
00  i-<  rj«  t- 1-1 
10  CD  10  COr-H 

r-  Oil— <  CO  o 

■^ji  ■^  o  o  o 

OS  OS  OS  OS  OS 


r-  CO  CO  CO  r* 

CD  00  CSi-H  CM 
10  O  to  CD  CO 


OS  CD  CO  CO  CO 
t^  CO  OCSCO 

O  CO  O  t^  cs 
"^lO  CDI>-  GO 

CO  CD  CD  CD  CD 


OS  cs  cs  OS  OS      OS  d  OS  cs  cs 


— c-^r  oocDos 

'^  OC^r-H  CD 

o--*^^  o 

0—1  CM  CO '<I' 

t>-  r*  i>-  £>- 1^ 

OS  OS  OS  OS  cs 


^o  cor^oc  OS 


r^ooo^c 

.»^^^w-«         -^^,,_w.-        OOCMCDOSC,         — -      _-      --  --, -, -™, 

|^'<t'Ot*      ooosoO'-t      T-iCMCMC^co      coco-v^rrp      TT-n'ooo      lOtOcococD      cocococDO      i>.r*t^t^r*      i>.  i>  t^  r*  r>.  t 

06060606         COOO^OSCS        CSOdOSOSOs 


CDC»000  OfOOSCDCO 

t^r^t^'iji  c^i-tt^'^rCM 

''OcDCMt^  Tr*coost^on 

SOOOOO  OOCOCIGOC 


»  OSCO  C 

.,  .:)OcoL, 

OS  OS  Os  OS  OS 


OS  to  OiO  OS 
COOOO^N 


to  to  CO  CD  CD 
OS  OS  OS  OS  OS 


OOt^— t  OtJ< 
CM  10  00  O^ 
■^  to  CD  00  C3S 
CO  CO  CO  CD  O 

OS  OS  OS  OS  cs 


oswco-^r^       t^rt<^QOt>-oa 


ScO*^         to  CD  O  f- 06  OS 


cs  OS  cs  Cs  Cs 


OS  Cs  OS  Cs  OS  OS 


— (-^  CD  ro- 


coco ff?  OS  CD 
CM-HOOtTCJ 
<DlO  ^  CSO 
00  CD  CO  00 -^ 
OOOSO  Oi-H 

0606  os^cs 


ocoi-te^i-H 

COiOOOOCD 

uo  ci5  CO  00  cs 


»-iCMCMC*«CO 

OS  cs  CSOS  OS 


tOOO— <  COO- 
CO  CO  "^  "^  Tf» 

OS  OS  OS  cs  cs 


CSCN)  lOOOCM         00  t* 

OS  O  csi^  o 


tT  o  >o  o  »o 


cs  Cs  Cs  cs  cs 


00t*00Tj«O 
00 1*  OSOO 

^Hr-wr* «-( 

r^  coOf-^  CO 

to  to  CD  CD  CD 
OS  cs  OS  OS  Cs 


O  I>- TJ<  •**' OS  O^OOSt^O 

est-— tO-^  tO—fCOCMOO 

Tj«r-ocMco  M' 10  o  o '^ 

"^  O  ^*  CO  OS  ~        ^ 

CD  CD  O  CO  CD 


i>- 1>  t- 1^  r- 


81— Tt*^  OCM 
ootp  I—  r—  -^ 

TT  CM  1-t  est— to 
O  CD  t—  I—  OC  OS 


CO  COC^  CSCO 
CM»-t00-?'CS 
00  t-  CO  1-1  CM 
00  CD  CO  CS'^ 
OOOSOO^ 

0606  ^00 


Sco^^^ 
OOOOCO 

OOCMOOCO 
r-t  C^CMCOCO 

OS  cs  cs  OS  OS 


cot— r— — (  r- 

C3SCM  CO  CstO 
000  CO  I—  o 

CD  C30  1-1  CO  CD 

OS  Oi  cs  OS  cs 


00  CD^^^H  Tj* 
CSCMOOOCM 

— iCM  -^  est—         , 

OOOCMCOto        t— 000 
TP  o  trs  o  O        


Cs  Cs  Cs  OS  OS 


00  t— OOM*  o 
00  t—  OS  O  O 
CO  OS  TT  01  CO 
t—  00  O  1— 1  CO 
O  to  CO  O  CO 


Ob»Tj<  -^  OS 

Ost— — «  O-^ 
CO  OS  CM  -^  O 
Tp  O  t^  00  OS 
CO  CD  CD  CD  CD 

OS  OS  OS  OS  OS 


CM  o  csr—  o 


t—  t- 1- 1- 1- 

OS  OS  A  OS  OS 


■V  000  CO 
t—  t—  CDtP 

)  1-tCSOOCO 


00— tt-'TPi-i  OOOOt— CD 

T-li-Ht--rj«CM  tO-^ft-  OSO 

ocsoco-^  oor— — *co 

Os*X)COCS'»9<  oocoooco 

OOCSOO— I  i-<CMCMCOCO 

06  06  cs  OS  c»  o  OS  OS  OS  cs 


OOCMC^  CO  CM 

go  CM  00  00  to 

CM  QiO  CTsCM 

CD  OS— <  CO  CD 
CO  CO  ^  "C  "^ 


OS  cs  cs  cs  cs 


CO^  CO  CO  OS 
OsCM-rft-— I 

CO  -^  CO  — I  cs 

00  O  CM  TT  10 
•V  o  to  o  o 


CO  C*^  CO  OS  to 


OS  OS  OS  OS  OS 


ogt— OCSJ^ 

■"5'  CD  t— S  OS 

CD  CD  CD  CD  CD 

OS  OS  OS  OS  OS 


t—  O-^  CM  O 


O  CM  OSCO 
OS  00  CO    * 

t—  coo 


(^oOco  cdSco 


I— t— t— t— t- 1- 

Oi  OS  OS  Cs  cs  OS 


a  CM  00  to  CM 
OOCOCO^ 
^  »-( t—  to  CD 

OSt—  CO  CS-Tp 
00  OsOO— < 

06  06  C5C»  cs 


cDoat-oot 
-vcocooo- 
— tCM  crseot. 
osco^Doeo 

-4  CMC 


SCMCOCO 
OS  OS  cs  OS  OS 


OS  CO  CO  t—  CO 

t—  r-H  t— t—  '^ 

-^CMt-— irp 

0  cs  — <  ■'^  O 
C-O  CO  "^  '*r  TP 

OS  cs  cs  OS  Cs 


00— t  COCO— ( 
to  CDOCO  — < 
00  OCM  M<  CO 
TT  0000 


■<  COM*  OCO 
-CD  00^  CO 

-  CO  00  CO  t— 

-  OSQCMCO 


OS  cs  cs  cs  OS      cs  OS  OS  OS  cs 


COCOQOO 
t—  CD  O  C3SCO 

S3J2S5§ 

CD  O  CO  cO  CD 
OS  OS  cs  Cs  OS 


00— 4OC0CD        COCOOI— cooo 
COOCMi— ICD        OOt-COOOC^ 


— «  CM  CO  "^  O 


-t-r— t— t— 00 


OS  ^  OS  OS  OS      cs  Cs  cs  OS  cs  cs 


C^OOCD^ 
tO'^  -^  CM 

8  to  CD  CM  t— 
OS  OS  t—  OS 
I    i-HTT  cot— 

06060606 


toosoc^os 

est—  CO  ^^< 

ooosoo— t 
06  06  OS  OS  cs 


CO  CO'^OM*    CD  C 


OS  cot—  CD  CO 
—(CM  CM  CO  CO 

OS  OS  OS  cs  Cs 


OOCDCDCO  t— CJsCMtoOS 
CD-^OSCOCD  I—  t— I— ON 
COGS— t-^CD         OOOCMtTCD 


cDOt^NCM 

OS  to  00  CS 
t—  OS— 'CM  CO 
O  OCO  CD  CD 


CMiQ  t—  CSi-i 


CM  CM  coco  C^ 

— I  CM  CO  -^  O 


CO  Qt--^  coo 
t— CD  — I -«J»  -V  — « 
— «  OCSl—  to  CO 
CO  t-  t-  00  C^  Q 


Os  OS  OS  cs  OS 


OS  OS  cs  cs  cs   cs  ^  OS  OS  OS   CS  OS  OS  OS  CS 


ll 


O^-tWCO'^        OCDt— OOOS        O-^CMCO-'J'        O  CD  I— 00  OS        O  — (  N 


sS 


TfOOCMCD        O^OOCMCD 


00— ^—t      MCMCMCoco      -^r^'-^'too      000— <—< 


COTf        O  cot— 00  OS 
CMCM        CMCMCMCMN 


)CMCD         O'^OOCMCD         O'*'0pC 


O"^  00  CM  CO 


CO  CO  CO  CO  CO        CO  CO  CO  CO  CO 


OCOt— OOOS        O— iCMCO-^i 


'OOCMCO        0"*J'OOCM*0< 


CM  CM  CM  CO  CO 


TABLE  V. 

The  Findino-  of  tlie  Azimuth. 


[Page  166 


8SS22 


Q  *t*  00  C^  CD        O'^OOC^CO 
C5C1<MCQC0         --r  TP  TT  lO  lO 


8SS53S 


o-*ooc«co 


5S8 


iooi^ooo>      O'-hcim'^      uocor-ooo      o— iwcom*      w5cDt*ooo>      Ot-HMco'*!*      »ocor»»ooo> 


■^r  "*■<**"«*• -^ 


<— '  "-*  c^  n  -T"         «--3  ^o  r^  uu  u*        s,^  ^-^  t^  c^j  t-         uj  <4_i  »^  wu  as 
iOO*OW5^        iOiO»OiO»0        0«0«O^CO         CO<OO^CO 


t^  t-  I-  t- 


Soooooo  w 


locor-oocftC 

OOOOOOQOOOC 


ifj  cr>  «-H  rH  cc 
io  <>»  o  r*  CO 

t— 00  O  Ci  O 

03  0>  OS  O)  o 


CO  CO  CO  00  a> 


O  Oi  o^  o>  o^ 


3  CO  00  00 
Oi  O  0>  O)  Ci 


JOOOOOOC 
O  O  O  O)  O) 


COiOOOCO''*' 
CO  O  t^  I '  CO 

Ci  O  .-H  C»  CO 

Oi  C2  O  O)  o 


O  Oi  0>  Oi  o>  o 
O  Oi  Od  O^  0>  O) 


'-H  lO  1^  Ci  O 
Oi  CO  »0  -n*  <N 
t^  lO  C>l  CD  cp 

r^QO  OS  Ci  Q 

t>-r^r^t^oo 


b-  C^  »C  1^  CO 

CO  oi  or^  CO 

(M  00-^  OCO 
t-H  --I  (>)  COCO 
00  00  CO  00  00 

O  O  Od  Oi  o 


COOS^-^  OS 
I--  OiOOO  -^ 
i-(COC50rH 

^  GO  00  06  CO 


C5C^  COCOO 


OS  O  03  O)  O) 


"ifiooo 

~  "3COO 

<O0C^ 

^tj,^r— r^  00 

00  00  00  CO  00 
O)  0>  Oi  03  o^ 


000000  coco 


— (^COMCO        COCS-^iMt--.        t^r*4t^t^co 


J)  cooes 

»-H  TT  CD  Q>i-* 
OOQO^ 

01  05  oi  0>  OS 


03  OS  O)  OS  O 


io      ^Mt*. 


CD  r*  t--  00  00  CO 

C^C^CS(MCS(N 

OS  Oi  Oi  OS  OS  Oj 


O)  O)  03  Cs  OS        O)  OS  O)  OS  O^        O^  OS  Os  Os  Os 


OS  03  0>  O)  OS  Cs 


t^t^r^oodo 

O  Od  OS  OS  OS 


00  xcocooo 
03  OS  0>  O)  OS 


COTt^cOCl-^ 
^H  COCOf-tCO 

■<**  OS  Ti*  01  CO 


OS  OS  O)  OS  OS 


OOiOiCcO 
CO  10  r^  CO  ■*»« 

OOCS  COQ  Tp 

CD  r^  1^  00  00 

00000000  CO 
O^  OS  OS  0>  OS 


>  10  00 


•^cs      co-^oot^i-t      rHr>-osr^cs      csoscsc^co 


r^-^  01  CO  CO 

CO  CD  CO  f-H  CO 


OS  OS  Od  02  OS 


r^  CO  "'J'  .-Hi 
»o  t^  01 1-1  C-l 

»-H   t-4  .-H  <M  C^l 

OS  OS  OS  OS  O) 
OS  OS  OS  O^  O) 


,— I  CO  uo  »D  C 


1-1 1^  1-H  10  r-  t- 

- --      oicysoooo 

ClCJC^itMCS        <NCSCOCOCOCO 
OS  OS  OS  OS  OS        OS  OS  OS  OS  OS  OS 


OS  O  OS  OS  OS         OS  OS  OS  OS  OS  OS 


100^  1-fCO 
CVIOt^-*f  o 
OOCSOSO^^ 


-  t>*  t^  CO  00 
OS  OS  OS  OS  OS 


e*i  t^Qc<»co 

COiOCO"*  O 

t—  CO  CS  »0  i-H 
^  CSC3  CO  '^ 

00  00  00  0000 

OS  OS  OS  OS  OS 


CO  -^  CD  OSM« 

rft  CD  CO  T?<  .-* 

CO  r-<  CD  .-H  CD 

"^  O  ^O  CD  CD 

00  00  00  00  0(5 


CD  CO  O  OS  I-*         CO  00 


OS  OS  OS  OS  OS 


O  OS  Q  »C  CO 
CDCOO  C~  ■ 
O-V  OSC 

r-  r^  t^  &j  uu 

00  00  00  00  00 
OS  OS  OS  OS  OS 


^  c^  w 


00  CO  00  OS  OS 


OS  OS  OS  OS  OS 


CD  -'J'oor^-H 

St^<McO  OS 
CO  r-*  CO  lO 

OS  OS  OS  OS  OS 
OS  OS  OS  OS  OS 


i-<  t^OSI^M 
Q  OS  t-  -^  O 

00  OS  1-H  CO  lO 
^H  i-<  C^  (MCnJ 
OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 


C^l  CS  <M  C-l  CO 

OS  OS  OS  OS  OS 


»  01  CS  CO  CO 


OS  OS  OS  OS  OS 


1-1  ?5c 

CO  CO  CO  CO  CO  CO 
OS  OS  OS  OS  OS  OS 

0>  OS  OS  OS  OS  OS 


i-(icw3oso      t^(N"5t^oo      000s— <-*ros 

00CStJ«CO.-I         iOOOOOCDfM         COOOOSt^CO 
-iCSOScOCO        OSkOi-4l-^CO        oocooocoqp 


OOOsOSO<-H         1-HC^ICOCO-^ 

t^r»i^cooo      Qooocoooco 


^o6(»Sc 


^  OS  OS  OS  OS    OS  OS  OS  OS  OS    OS  OS  OS  OS  OS 


lO-^iOOCO 
OO^C^CNCTS 

t^  r—  00  00  GO 

CO  00  00  CO  CO 
OS  OS  OS  OS  OS 


0  io»o  OS  r- 

CO  Qco  -^  -^ 
(N  CO  0)<M  »0 

01  OS  Oi  O  O 
00  0000  OS  OS 


OS  OS  OS  OS  OS 


1-t  ^COCS  CD 
CO^»OOSrH 

CO  o  CO  >o  00 
o*-*— *  — *  ^ 

OS  OS  OS  OS  OS 
OS  OS  OS  OS  OS 


(M  C^Ot^CS 
O  CS  TP  10  t— 
0*4  (N  C^  CI  (N 


cp  OSOO  OS 

oB  OS  F-*  CI  ?» 

(MCSCO  coco 


CO  CD  Cfl  CD  O  N 
COC*4  t— OCS  CO 


CO  CO  coco  CO  CO 


OS  OS  OS  OS  OS   OSOsososos   Os  OS  os  Os  os  Os 


OS  OS  OS  OS  OS   OS  OS  OS  OS  OS  OS 


SCOCDOrH 
■^  CD  CD  00 

r-  -ff  .— 1  00  10 
000s  00^^ 
t^  t^oocooo 

OS  OS  OS  OS  OS 


CO  CO  CD  00  OS 
t-QOGO-^ 
1-1  00-^  OS  10 

CS<M  CO  CO'^ 
00  00  00  00  CO 

Os  OS  OS  OS  OS 


OsOCfliOO 

COr-ll-lOsS 

QcD^iOO 
VQUJCD  CD  t- 

0000000000 

OS  OS  OS  OS  OS 


CO»flCO^OS  1-lCDCOOOO 

SCO  TT  Tfi  ft  OOO^iOt^CO 

OSCOt^.-<  TTCO'-iTfil"^ 

t-*r»-ooooos  OS  OS  o  o  o 

QOOOOOOOOO  OOOOOSCSOS 


OS  OS  OS  OS  OS         OS  OS  OS  OS  OS 


csO'«*«cor>- 

lOCSI  t^i-i  CO 

Oeo»Oooo 

,-,  i-H  1-1  ,-1  C<I 

OS  OS  Os  Os  OS 
OS  OS  OS  OS  OS 


t^COlCcOOO         COuOOOOO" 


r^  t>-  CO  i^  CD  CO 


."CSOS-^  OOi-tCNJCS'-t  OO'^OSW-^iO 

(rrcor-os  ocqco-**»o  locotot^r-i-- 

1  W  CS  CS  (N  CO  CO  CO  CO  CO  CO  CO  CO  CO  CO  Tf 

S  OS  OS  OS  OS  OSOSOSOSOS  OS  OS  OS  OS  OS  OS 


Os  Os  OS  Os  OS        Os  Os  OS  OS  OS        Os  OS  Os  Os  Os  Os 


OS  CO  CO  r^  00 
t-(  CD  CO  r—  -Tj* 
oscD  coor^ 

COOSO  <-i  ^H 

r*r>-oooooo 

OS  Os  OS  OS  OS 


10  oco^oco      coi^ 


OS  (M  CS  O  CO 


3S      0606 


OsNr>- 

CO  00  CO  CO  cs 


eoc^cooocD       00COC0t--t 
C<»»Ocp»OCO         OS-^ft^OOG 


-i-H  lAqsco       CDC 


OSOSOSOSOS    OS  OS  OS  OS  OS    OS  OS  OS  OS  OS    OSOSOSOSOS 


OS  t^.-H  O  -^ 
CD  CO  OS  CO  10 

Os  Os  OS  OS  Os 
Os  Os  OS  OS  OS 


''J'QC^OiO 
CO  CO -n*  ^  CO 
■^  COCrf>Oi-i 

csc^cscoco 

OS  OS  OS  OS  OS 

OS  OS  OS  Os  OS 


OCOtP  ■»r  CO 
CO  -^J*  10  CO  t^ 


OS  OS  OS  OS  Os 


OS  OS  OS  Os  Os 


■3*  -^  o-^  coo 
g  CD  f-<  •**'  CD  r^ 

00  00  OS  Ob  OS  OS 
CO  CO  CO  CO  CO  CO 
Os  Os  OS  OS  Os  Os 

OS  OS  OS  OS  OS  OS 


i-tiouioso 

CO  t^  OS  00  CD 
»-l  CO  t  O  CS  OS 
OSOS  Q  .-t  i-( 
t^t^OOCOCO 

OS  9  OS  OS  OS 


Ococo^r^ 

CO  CS  00-^  OS 

CJ  coco-^  -f 
00  00  00  00  CO 

OS  OS  OS  OS  OS 


OOOS^M^^ 
1-1  CO -^CS  00 
lOCDiOO"^ 

10  CD  CD  r--  r^ 

QOOOOOOOOO 
OS  OS  OS  OS  OS 


cocDr-t-^-^       .-41000010s 
OS  CO  r^  »-( 10       OS  cs  lO  CO  i-( 


1-H  OlCONCO 

GO  '<a*o  "«r  © 


cDC^  M*  cs  r- 


COOOOCSCO  lOCOt^OOOS 
C^CNCOCOCO  cococococo 
OS  OS  OS  Os  OS         OS  OS  OS  OS  OS 


COcOOlcDiOC^ 
FHr-cs  10 1^  CO 


OSOSOSOSOS        OS  OS  OS  OS  Os        OSOSOSOSOS        OSOSOSOSOS        OSOSOSOSOS 


s  OS  OS  OS  OS  OS 
OS  OS  OS  Os  Os  Os 


OS  CO  CO  r^  c_^ 

COCOO  OS  CD         1-i 


OS  OS  Os  OS  OS 


iCOcOiOcD 

■     "     "  O*  00 
CO  1-1 

CM  C^  ■'T  "^  iO 

CO  00  CO  00  00 
OS  OS  OS  OS  OS 


cDt^OsNr- 

CS  -^  -^CO  OS 

^-  c^  r--  c^  CO 

lOcDCDt^t^ 
00  00  00  00  00 

OS  ^  OS  OS  OS 


COCSCOOOCD  00COCOh-»rt  Osr>-»-(0'^ 

■^t^OOt— »0  1-ICOOSOO  OOW5r-l»Or— 

•— <  «0  OS  CO  t^  .— t  TT  r^  1— «  Tj*  CDC3SCS*^CD 

9559^'^'=^  000^^  i-tr-*e^CM(N 

OOCOOOOOCO  OSOSOSOSOS  OSOSOSOSOS 


000!M-«J^iO        -      

cococococo      cococo-* 


OS  OS  OS  OS  OS 


OS  OS  OS  Os  Os 


C7S  OS  OS  OS  OS   OSOSOSOSOS 


OS  OS  OS  OS  Os 
OS  OS  OS  OS  OS 


M«  '^O'rt"  coo 
(NOOCOCOOOOfc 
C^  C^  CO  CO  CO  CO 

OS  OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS  OS 


10  <M  O  t-  CO 

r*OToooooo 

^  Os  OS  OS  O) 


00  CO  CD  00  OS 
»-i  -^  -rfi  CS  CO 
OcDC^GOCO 
CO  CO  -^  -^  16 
000000  00  00 

OS  OS  OS  OS  OS 


OsOCS  W50 

W  iJSvD  COO 

os-rr  Os-^  OS 
*0  CO  CD  t-^  r- 

00  00000000 

OS  OS  Os  Os  OS 


cDiocp»-<os 

-^t-- 00  CO  10 

cor^i-t  »oos 


OS  OS  OS  OS  OS 


1-H  CDCOOCO 
CS  COOSi-tO 
COCO  OS  CO  CO 
OOOi-t—t 
Os  Os  OS  OS  OS 

OS  OS  OS  OS  OS 


<NO-^eot^      t^co^ocooo      CO  lO  00  00 "- 


COOOCOCOOO         (NiOCOCDlO         CO  GO  CO  CO  00  OS 


OOi-t^J'COOO  oc^-^cot^        .-.-, 

<-«COCOCOCO  cococococo  CO'Tfi^i^r*^ 

OSOSOSOSOS  OSOSOSOSOS  OS  OS  OS  Os  OS 

OSOSOSOSOS  OSOSOSOSOS  OSOSOSOSOS 


"  10  "O  lO  lO 

-^  "^  ■>«»<  Tf  TT  ^J» 

OS  Os  OS  OS  OS  OS 
OS  OS  OS  OS  OS  OS 


W^cOO-H 
-«j«00OOt^ 
I>-  -^  CO  OS  lO 
OSO-^^CM 


1-1  -T*  rpCS  00 

CO  00  ^o  »o 

CO  CO  Tfi  IQ  up 
QOOOOOOOOO 


>C^iftO        CDiCcDi-iCS 
S  lO  CO  o      -^  t^  00  00  o 

S  1— I  CD  r-4         »o  CJS  CO  r- 1— I 

oocoososo 
00  00  00  00  25 

OS  OS  OS  OS  OS 


0000000006 

OS  Os  Os  OS  OS 


— (COCOOCO 
CO  cOOS,-t  o 

ggi-iiooo 

OS  OS  OS  OS  OS 


I^COlOCOCO 


OCOcOOOO        CS  "^  CD 
cococococo        COCOCOCOCO         -5* 
OS  OS  Os  OS  OS        Os  OS  Os  Os  Os 


i-HC^  co-^  10 

'^p  -rj*  ^  -r  Tf< 

OS  OS  Os  Os  OS 
OS  OS  OS  OS  OS 


t— r^  cor^  CD  CO 

CS  00  CO  CD  CO  OS 
CO  CD  r-  r-  r- 1^ 

OS  OS  OS  OS  OS  OS 

OS  OS  OS  Os  OS  Os 


OS  OS  Os  OS  OS   Os  OS  OS  Os  Os 


OSOSOSOSOS         OSOSOSOSOS 


r^ ,-H  .-(lO  CO 

COOOO^CD 


OsQ  ^  CO  CO 


OS  OS  OS  Os  OS 


CO  TP  Tji  in  iO 

CO  00  CO  00  00 
OS  OS  Os  OS  Os 


'^lOh-OiO 

c^  -v^ 

CO  00  CO 

CD  CD  r^  r^  og 

QOOOOOOOOO 

Os  OS  Os  OS  OS 


_      .        1-1  Oi-t"©-* 
coos        rpt— OOt-iO 

" —       5;  i-H  10  OS  CO 


OS  Os  OS  OS  Os 


CDi-Hi-tiDCO 
^HCpOsOO 

rrOcor^O 

O  •-«  '-H  .-4  c^ 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 


C<IUtiOGOC^ 

OS  lO  Q  "^  r- 
OiOOO  ocs 
CO  CS  O  CO  CO 


COOOQOOCO 

00  rococo  00 

TT  CD  00  O  1-1 
CO  CO  CO  ■^  ■^ 
O  OS  OS  Os  OS 

OS  OS  OS  OS  OS 


COOCOCOOS 


Os  OS  OS  OS  OS 


CO  CO  00  CO  r-l  00 
Ca  00  CO  CD  00  00 
CO  cO  OS  OS  OS  OS 

'rp  ■^^  -^p  ^  TJ*  -^T* 

OS  OS  OS  OS  OS  OS 
OS  A  OS  OS  OS  OS 


00  CO  CO  CD  r- 
co  t^osooio 

rH  CO  10  CO  OS 
W  woo  00  00 
03  OS  OS  Os  OS 


»0  CO  00—  CD 
—  CO  coco  00 
iQ  o  »o  Q  -r 

0000  00  00  00 

OS  OS  OS  C3S  Os 


CO  cot 


icor^^o 

OS  CO  r-  --no 

COGOOoSS 
OS  OS  OS  OS  OS 


t^csco^o  -^ 

O  lO  00  01  C7S 

§C0  1Oft)r-l 
OS  OS  OS  OS 
OS  OS  OS  OS  OS 


OOCDO  OSCO 


CO  CJS— t  OS'^f 
t^  CD  'O  — '  t^ 
CO  00  O  CI  CO 
CO  CO  -^  Tp  rp 
OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 


iDO  t^OOCJS 
"^  '^  -^  TT  ^ 

OS  OS  OS  Os  Os 
OS  OS  OS  OS  OS 


CO  CO  OS  CO  CO  OS 

40  »0  »0  lO  lO  lO 
OS  ^  OS  OS  OS  OS 

OS  OS  OS  OS  OS  OS 


»D  OS  OS  CO  -^ 

.-I  o  t~^  t^  -^ 

CO  o  r*"^  1-t 

Q'-JrHCOCO 
00  00  CO  CO  00 

OS  OS  OS  OS  OS 


1-1  CD  OS  ^H  CO 
Osi-t— tOcD 


OS  OS  OS  OS  OS 


CO  CO  »0  CO  CO 

oco  ■ 

CD  I^  1—  ou  uu 
QOOOOOOOOO 
OS  OS  Os  OS  OS 


OS  00  01  '»*'  CI         -^  OS  OS 


01-         i-<  Tt«  »0  t.O  CO 


^CO  CD  00  CO 

o-^  r*o  CO 


CD  CO  00  cs  to 
^  OS  ■— '  "^  ^ 
CO C)  CO  coco 


>cDOOCp.-« 

3COOCO 
CO  "***  »D 


^00^  —  t^ 


5  O  CD  O  01  CD 
^CDO-V  10  CO 
CVI  CO  CO  CO  CO  CO 


510        iO"0iO»O>Ofc 
SOS         OS  OS  OS  OS  OS  OS 


OS  OS  ^  OS  OS 


OS  OS  Os  OS  Os   OS  OS  OS  Os  Os 


OS  ^  OS  OS  OS  OS 


5- 


lOcDt-^OOOS        O'-iClCO'^        iO:Dh-GOOS 


■^■^"^        iO»OiO*00        I0*0»0i0t0        ScDcOCDcD        COCO^COCO 


CO  CDC 


OCOI^OOOS       o—^coco-^       »ocot^ooos 


l,t,.l^t-»t^ 


I- 1'  t^  l^  t- 


SS! 


g-*  COCA'S) 
00.-^—. 


c<  w  c^  CO  sc      -^r -^ -^  »«  o 


Page  166] 


TABLE  V. 

The  Finding  of  the  Azimuth. 


•OTOOMCO        O-^OOC^tO        O^»<00C^CO        0**CCC^«0        O'-»«00CSCO        O^-OOC^^O        O-g-COC'^O        o-^ooc^«o  o-^ccc^cco 

gOOOi-Hi-i        CSC^CMCOrO        •>9"^'*»00        OOO^^        C^CSCSCOCO        -^-^-^iC^O        OOOi— rH        MCSWCOCO  -^t^-^tCiOO 

•  O                                                                                                              ^                                                                                                              W  CO 

»0(Ot^ooa>  o  1-H  cs  cc  "*  w:i 


0*-tWCOM<        IC«DI>»00Oi       0«-<WCO'*J*        lOcOt^oOOs        O^^C 


is 


C*<  M      cscsicscsc^      cccccQccro      cocccccoco 


,  CO  CO  coo 

i  C^CO  ^       ' 

^coco 


(ONOoo      ocoos«>co      r^ocoooo      q-^'^oO'**" 
cococoo       oor^cooco      .— i,— «coiOi-i       low-^'^'-< 

C^COQi-^         OQ?«0"^"^         0'-*CCCS-^         ^Oi^QfO 

-    -^--      coot^fooo      cor-Q-^r^      ocoioooo 

OOcSOiOO        »-<^^C^CS         COCOCOCO'iJ* 
O^  ^  O)  o>  ^ 


sOiOO 

ccodod  03oi 


O^  O^  O)  O)  Od 


lOcOQOoo-^  ic^ic^r^  t^-<j«w^^cC' 

»Oooocooo  -TroiOf— O  -(f  CO  t--.  CO  O 

•^Tf'fl<C9as  tOCNl-^CNIO  a^CS"^O00 

C4 -rj-  O  CO  CD  1-lCO-^Ot^  QO  Q '-' CM  CO 

■^  Tf  Tf  •^3' ■^«  I0if5i0»0>0  lO^cOOcD 


OS  03  0%  0>  O)        0)0)0^0)0        Ob  0>  O)  0%  Oi 


0>  Oi  Q?  Oi  i 

O  ^  Oi  O)  O)       O^  O  Oi  O  OS  o> 


00.-H  CN  CO  CO 


St"  COCOi-H 
.    COCO«-<  CO 


00  CO  CO  00 


-»r  r*  CO  or* 

OOt^-^— iCO 
COC^  Oi  '     " 

So  OiCiOO 

00  00  00  03  Cs 


.-H  t^  CO  00        CO  t  •- 


M'OOOOe^OO  Osr-NNU?  OSOQOSlrt^H  i-iOO»0'0  0  COOQOO^H  i-tOOU5C«t-iCO 

»O00'riC»-i  lOOO-HTpOO  T}«COO>— <i— <  iOCOt^«5— «  .-ct— OOO-^  CO'3'OCOCOO 

OCOCDCOtp  t— t-t^iOM  ClOOiCO'-  C^icr^O^^  MC^COC^C^  i-HOOit^iOCO 

oco^ooo  c^Tj^coooo  ^coiocor--  osO"-'CN'«}*  ujcor^oCCT)  o-H^--- 


CO  CO  CO  CO"* 
O  A  OS  OS  OS 


-. bQ 

•^  -^  -rr  -^  i^ 

OS  OS  OS  OS  OS 


lO  »o  ^  "O  »o 


Se  -    
CO  CO  CO  CO 

OS  OS  OS  OS  OS 


OS  OS  OS  OS  OS  OS 


OSl^CO.-) 
.  CO  CO  CO  «-H 
{oOCsiCO 
'  coco^  ■* 

00  00  00  00 


COCON  OIC 

C30  r^"^  Qc 
cO  LO  C<l  O  C 
CO-H  OO  "*  c 


Oco^c^— I      cot^r-i-Ht"- 

C^^'^rCpM  UOOOTPlOrH 


OS  OS  OS  OS  ^ 


OOOOOiO 

CO  »o  c^  oo  o 


OS  OS  OS  OS  OS         OS  OS  OS  OS  OS 


00  h-OO"*  O 
'tji  COiO«-<  ^ 

(N  OOCOCO(N 
C^  CO  >0  O  OO 
lO  LO  "t  to  o 

OS  OS  OS  OS  OS 


Sr^'«j«Tj<^  c^ioost^o  ot^'S' 

cor-coo  1— it-c3soo-^  S -^  O  CO  CO 

»O00OO4'rr  ii0iOiOiQ»O  -^COOIOCC 

OsOC-^CO-T;"  lOcQt^OO—  — 


iCCO 

OS  OS  OS  OS  OS 


■^  coc 

-  o  ^  c 

cococo   t*t^i^t^r^t>. 

OS  OS  OS  OS  OS   OS  OS  OS  OS  OS  OS 


.CO(NCNO       r^i^coooo 


t>-OcOfOO 

r-t--  CO  ooo 
OS  CO  lO  coco 

CO  I—"  OO  ^  ^ 
00  OS  OS  O  O 
CO  00  00  OS  OS 


Tj«  t>-  lO  to  lO 
i-hOCOiO^-h 

osor^.-^  CO 

COOO^  UOQO 


■^  00  "*  't?'  >— « 
C^  CS  »-0  OS  c^ 

1— I  CO  CO  00  .-H 


OS  OSOSOSOs        OsOSOsOsOS        OsCSOSOSOs        OS  OS  OS  OS  OS 


-^-HOOOOCO  CO  OS  CO  1-t  ■«?• 

■n*  CO  O  O  o  QcOosooco 

oOi-Hco'Ct--  oooooboQoo 

OS'-^CJCO-T'  lOcOt^OOOi 

lO  CO  CO  CO  CO  CO  CO  CO  CO  cO 


5  -q;  CsC4  C4  ® 
-  CO  "*  CO  «-•  00 
?-^M  co-^  -* 
- 1—  r-  r*  !-■  r>- 


OS  OS  OS  OS  OS  OS 


i-^t^iOco  U5c0'*»-^oo  c^i-Oco-^co 

8C*«  .-H  ^  OS  COO<MOSCD  QOSC^J'^Q 

'mo^^iO  C^rHOOiCco  ^C^O'^O 

|^"«fcOr^  OOOSOSOO  1-i^CSCSC^ 

06060606  0606060SOS  ososososos 


iC  OS  OS  CO  OS 
cocoes  CO  OS 
lOCSGOClM' 
^  -^CO  Oi*-i 
CO  coco  CO-* 


OS  OS  OS  OS  OS 


000  CO  CO  CO 

SCO  OS  CS  CO 
CO»Ctj*^ 
CO  10  I--  OS  ^ 

■V  TT  rr  •<r  »o 

OS  OS  OS  OS  OS 


CO -^ -V  OS  OS        CO  •-"  iC  "^ 


O  OsO^OCS 
CO  -^  TT  OS  OS 

00  **  cs  CO  r* 

CQ  ■*  »0  t^  00 

to  10  ic  »o  >o 

OS  OS  OS  OS  OS 


Tj«  h-»HOsc 


C^OscOcO.-( 
CO  •-"  iC  "^  OS 
^  TT  cooo  Os 
Qr-CSCO-*  _  

^  CO  ^  CO  CO         CO  CO  CO  CO  t* 

OS  OS  OS  OS  OS         OS  OS  OS  OS  OS 


stood  CON 

-00  OsO 


i-H  ^cs  co- 


•  CO-V  1-t 
-  I  CO -rr  10 

OS  OS  OS  OS  OS  OS 


^fQooco  00 -H  r*  *»*«  iM 

BOQOsr-  TT-^j'Or^io 

t— OOCOOO  lO-^^OOOS 

I    rH -tj*  CO  l~*  OOOSCSOO 

06060606  oocooocso 


sr^cD 

?csioo 

5cs  10  oo      ^ 


.-i^hCSCS  cs 
OS  OS  OS  OS  OS 


05^ 
CO  CO  CO  CO  ^' 

Oi  OS  OS  OS  OS 


CO  lO  r^-  OS  1-t 

-rr  rp  -(T  -^  U3 
O  OS  OS  OS  OS 


CON  CO  OS  10 
»-t  OCS  i^  t^ 
^^  1^  C^  CO  O 

CO  ^^  cor-  OS 
lO  o  to  to  10 


Cs  OS  OS  OS  OS 


lONOsosTf*  t^o-^rNto  iON05coi/^r>- 

f-HOCONt*  t^-^cOuOO  <N— «^OSC5icO 

-^t^OS.-iN  CO -*  -*  •'3' ■«5'  CO  CS  O  00  CO  '«*' 

<Z>^C^-*iO  COt^COOSO  ^  CS  CO  CO  ■'J' »o 

cococococo  cocococot^  t*i-»t>-r»i^r>- 

OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS 


CO  00  00  OS  OS 


COOO^O 
-SCO  OS  OS  CO 
SC/)  COt^Q 

CS  TT  t--  <3S  N 
CO  CO  CO  CO  ^ 

OS  OS  OS  OS  OS 


»-t  01 M*  'I'  t>- 

ON  10  OON 

?5ci^osi- 

-<S^  CO  00  OS^H 


'-^O'-ir-co 

OsOOQw:)  uo 

OSI-^    CO  OS  10  OS  CO 


"to   to  to  to  to  to 


OS  OS  OS  OS  OS   OS  OS  OS  OS  OS 


coOr-t^N 

OS  00  .-H  O  to 
O  OS(M  rr  to 

O  OS  OS  OS  o 


10  00  N  O  CO 

to  rH  •*  CO  00 

o  r-  r^  r-  CO 

CO  r^  00  OSO 
CO  CO  CO  CO  r* 

OS  OS  OS  OS  OS 


CO  O  t*  Tf  CO  to 

SOS  ■f  i^  r-  ■* 
■*  CO  1-H  OS  r* 

^H  CV)  CO  •*  ■*  to 

r- 1*  c^  t^  r^  t* 

^  OS  OS  ^  OS  OS 


to-H  osr* 

81-0  to  -v  CS 
C^  CO  OS-* 
.  10  ION  to 
I  1-H  -fTCO^- 
OOOOCOCO 


OsN  oOiON 

O  OscO  -^  "5 
locq  CTi too 


CO  OS  h- 00  r- 

CON  to  1^  CO 

Q '-<  00  CS 'tj* 
to  O-  N  CO  C7S 
,-Hi-i(MNN 


oscofot^co      -*«Nr»t 

COOCOCOCO       t'-OtMt 


COt-HCOOcO 


CO  to  r^  CO  CI 
-  .  _       coc^  r-(N  CO 

)OCS         COLO  cDGC  OS 
■<tOtO        lOtOtOtOtO 


5  10  OS  00  N 


OO^tOCOCO 
CM  ^  <-H  Q»0 
OS  OS  O  O  OS 

S^-  OS  00 
CO  CO  r*  t* 


OS  OS  OS  OS  OS         OS  OS  OS  OS  OS 


OS  OSOsOSOS        OSOSOsOsOS        OS  OS  OS  OS  OS 


COCOOt>-cOOO 
t^  CO  C^  -v  -^  <—• 

i-H  CM  CO -"MO  ® 

r*  t^  r>.  t^  r*  t^ 

OS  OS  OS  OS  O'  OS 


,. -  COOS»ON»S         COcO'^tO-*' 

N'-««-'OS        COtONOSCO         OOSN-      ~ 


NOOCO'^t* 

8<N  i-t— '  OS 
to  ON  CO 
10  to  CO  to 
^^COt^ 


CON 

to  CO 

OOOsOsOi-H 


CO  CO  •— I  to  r* 

too         to  OS  CO  CO  OS 
—  ,-t^N  NN 


cooo-*  <: 
CO  r-"  CO  CO  c 

CO  CO  OS  cot 
NioF-OC 


r-*  OS  ^  "*  r^ 

^t*  COOSN  CO 

t-^I^cOtON  t^jiiji— »' 

-<**  CO  CO  O  N  CO  to  1^  C 


^O^r^eo 

CON  -S*  OS  01 


OOOOOOGO         OOOOQOOSOS         OSOSOSOSOS 


ososososos        OS  OS  OS  OS  OS 


coo  t^r-N 

CON  to**  OS 

N  tor^criQ 
cococococo 

Cs  O  OS  ^  OS 


10  OON  OCO 
OS  to  CO  t-~  N 
^NNNN  

t^OOOSO^    NCOCO^ 


OS  OS  OS  OS  OS 


CO  O  r* 'itt  CO  ti5 

'tr  CO  00  ^  1-f  00 

»-i  O  00  r--  to  N 

"1  coco^  tOcO 

-  r^  r*  !>.  r- 1>- 

OS  Od  OS  O  OS  O) 


'  lO  to  CO  to 


06060606 


OS  CO  cot- CO 


CO  CO  CO  "^t*  '^ 


00  00  OS  OS  OS 


OS  OS  OS  OS  OS 


'T'N  t^t^O 

§COiO  00  CO 
o  01 1^  to 
t^OOON 
Tt«  -^  Tj«  to  to 

OS  OS  OS  Oi  OS 


-«*«  c0"*O  CO 
CS  00  O  CO  to 
i-(  r*  CO  r*  <-• 
'^  >o  r^  CO  o 
10  to  tO  tO  CO 

OS  OS  ^  OS  OS 


CO  CO  O  O  to 
CJi  GO  N  1-H  to 
■*  I-^  O  N  CO 
^H  N  '^  tOCO 
CO  coco  coco 

OS  A  OS  OS  OS 


OOr-iOCOcO 
to  C*  TT  CO  00 
'(T  lO  to  lO  ■* 

r-oo  CSO1-1 
CO  CO  cot- r* 


CO  coor-  CO  CO 
o  OS  to  r— 1-.  ■»»■ 

■rr  N  >-H  OS  r—  lO 
N  CO-* -^  toco 

t—  r>- 1-  r- 1—  t- 

O  OS  OS  ^  OS  CS 


§COCO^ 
CO  CO  CO 
I   ^  **  CO  l^ 


t-Q  CO  coo 
CO  ^  TT  ^H  OS 
00  1^  r-i  C^3  N 
tOcOOcO— « 

oocsoo»-« 

06  06  OS  OS  OS 


■*  r>-  to  CO  t 


to  OS  CO  r— o 

— <-^NNCO 


OS  OS  OS  OS  OS 


r-,-H^io  w 

to  OS  to  t^N 

»-(  00  -^  00  .-* 
CO  to  CO  O  00 
CO  CO  CO"*"* 
OS  OS  OS  OS  OS 


N  OiOiOoO 

CO  OS  <-<  -g*  00 

NNNOt--      _ 

tot— OS«-tN   Tf  CO 


OS  OS  OS  OS  OS 


N  <-HN  00"* 

trt"*CO^  ^ 

to  O  "* 

,  _  t—  OSQ 

to  lO  to  to  "io 

OS  OS  OS  OS  OS 


"*^ooooco  CO  01  CO  w '* 

tO'*I-=C"-'  .-Ht-OOs-* 

t— o  N  "*  CO  r— t— 00  r- 1-- 

«— <  CO  "*  to  CO  t— QO  OS  O  •— t 

cCcOcocOcO  cOcOcOt— t— 


OOSOSOSOS   OSOSOSOSOS 


t-COi-tOS 
OS  OS  <^  CO 

8  N  COOS'* 
CO  CO  CO  CO 
I  1-1  "*  cot— 
o6o6o6Q6 


»H  ■*  o  r--* 

"*cOOcO'* 

^H   Ot~^  ■*  O 


00  »— t  OS  O  OS 

r—  r—  OS  N  t— 

O  rH  00  CO  ■* 

o  O  CO  r-  o 
-^NNN  CO 

OS  OS  OS  OS  OS 


—*  to  to  o  to 

■-r  .-H  t-^  .-<  CO 
COcO00r-<  CO 


CO"*  OsOsN 

,-H  ■*  CO  OS"* 
10  to  ■*  N  O 

to  r-  OS  1-H  CO 


OS  OS  OS  OS  OS 


f— N  OON  CO 

•*  -^  1^  C:  O 
lO  tO  to  to  cO 

OS  OS  OSO  Cs 


So  CON  CO 
N  to  r—  00 

CM  CO  ■*  to  CO 
CO  CO  CO  coco 


OCO  r-  to  00 

f-  CO  'O  ^  OS 
OS  qQOcs 
t—  ?:  O  .-( ,— ( 
CO  o  t—  t—  r— 


00  to  N  O  00  O 

»-i  QCDOC  X3  3 

OS  00  o  "<r  N  o 
N  ro-*  tO  CO  r- 
t- 1  - 1— t- 1— t- 


OS  O  OS  OS  O        ^  O  O  OS  o         OS  OS  OS  OS  OS  OS 


OSNOO  tON 
00  00-*^^  OS 
CON  est— t- 

CO"*  Q  to  1-H 
OOOOOi-H 

06  06  OS  OS  OS 


CO  OS  r-  00  t- 

N-HTT  CO   -- 

CO-*'-t  to 
CO  Q  ■*  t—  *— ' 

rHC^NNCO 

OS  OS  OS  OS  OS 


_  _   -  oeocor-co  -*Nt-t-o 

N—HTTCON         "OOStOtON  cOOs«-<-*OS 

^     — .         .^jvjj^^^  r-r— r-ioN 

COCOCO.-HC0  tot— OS^CO 

COCOCO'V*  ■*'*'*tOtO 


■*fO'*«OcO    OCO 


OS  OS  O  O  O   O  OS  OS  OS  o 


to  to  to  too 

OS  OS  O  00s 


OtO 

N  loi^o^ 
CM  CO*  tor* 

OS  O  Oi  OS  OS 


00  ^  ift  CO  o 
i-H  CO  O  OS  ■* 
N  N  CON  N 
OOOSO'-*N 


OS  OS  OS  OS  OS 


cocoor-co  CO 

CO  to  1-H  CO  CO  o 
•-H  O  OS  r-  »o  CO 

CO  "*  •*  to  cor— 
^- 1- 1— r- t-t- 

OS  OS  O  OS  OS  OS 


CO  CON  OS  CO 
CO  CM  O  to  CO 

CO  ^o»-t  crso 

00000-H 


00  00  OSO  OS 


OCO^N  i-H 
to  O  CO  00  cs 

CD  o-*r— <z> 

^HNNN  CO 

O  o  O  OS  OS 


cor-  t— ^  t 


00  CO —4  r-^"* 


,-(  r-  CO  I-  .-< 

kOCOC^O'-« 
10  to  to  to  CO 


OS  o  o  o  o 


8r-  -*  ■*  o 
OON— (to 
to  t-  C5  N  CO 
N  CO  io  O  t— 
to  O  CO  CO  CO 

OS  O  O  OS  o 


N  to  O  t-O 
O  N  ■*  CO  OS 
-gjiOtOtO"* 
<»  OC5  — (N 


O  OS  OS  OS  o 


Ot-"*,— ON 

i-»  OS  to  00  00  "0 

"*  N  i-H  est- to 

CO  "f  to  to  CO  r— 
t— t— t— t-t— r- 

OS  Oid  OS  o  o 


tOOr-000        O^hNCO"*        iOcOt-000        O^HC 


3-f.         tOcOI^OOO        O— ICMCO"*        lOcOr^OOOS        O— lNCO"*tO 
)N         CMNNNN         COCOCOCOCO        COCOCOCOCO        ^ -^ -^^ -i^ -^  "* 


•Q-*0ONCO         O'VOONCO         O^OONCO        Q" 
gOOOi-H^        NNNCOCO        "*"*'*iOtO        OC 


lOONCO        0"*CONCO         O-^OON 


CMNCMOOCO 


5SS    g 


"(fgoMco     o^ooNco 

OOf-Hi-l        CMCSC4C0C0 


0"*ooeM  CO  o 
<v«<*  to^o 


TABLE  V. 

The  Finding  of  the  Azimuth. 


[Page  167 


«^ 


6SS§2S    SSSf^JS    55^S?35    8SSSS 


JS?S??S§    55?S?ig    8SSSS    SSS?3SS    §5^SS8 


03        OiMC^^CO  -^ 
'O        CO  CO  O  CO  ^ 


^5S??;JSJ5    ^r:*£?£?:?     »cspi^ooai    o^-tc^co^     »o'^r^ooo50 

cococococD     t>-r*t^t-t-      i^t^tN.t«Fw     Sbccoooooo      ooo5aooocio25 


*  ^  QO 
>CD<0 


O  O)  ^  Oi  o 


03  0^05  03  o> 


CO  "^  CO —I 
65cOO"^ 


S9S5?!2'^"^  osr-wo-<**  -rfowoio  w5C^io>Ct-i 

i^c^jocoyp  -^  »-^  h*  i-H  (vj  -T^-TiM^fcrr  «5^<nc4i-h 

»f»o*0»0?5  'O^^t^'^^  i^r^r^oooo  oooo35cnQn 

0000000600  OOOOOOOOOO  0000000000  OOOOOOOOOO 

0300^00)        0003030  050SCS0SCS  oi  Oi  OS  05  ^  oi  Oi  0>  OS  O^ 


5  t^-^-i-H 

OS  Qi  OS  9  0 


OS  OS  OS  OS  Cs   OS  OS  OS  OS  OS   OS  OS  OS  OS  OS 


<^»  t>- IN- .-I  OS    CO^^lO'TfOO    00 

00  M  »o  t^  —  "^  — 

»0  iQ  <X> 


SSK^:^  2?4:ss?  g:28ss 

-'"OS'-H-t'O  OOOC^COIO  'OOOOSOi— < 

toi^t^r-  i^ogoooDog  ooSOoooscs 

00000000  OOOOO0C«OO  OOOOOOOOOO 


00  00 

OS  OS  O  OS  OS         OS  OS  OS  OS  Cs         OS  OS  OS  OS  OS         OS  OS  OS  OS  OS 


OS  Cs       OS  OS  cs  cs  OS  OS 


oooocacnc 


00  ^  ^  OJ  t.- 

00  00  00  00  00 


OS  OS  OS  OS  cs       OS  Cs  o  cs  OS 


cs  cs  ^t<  t^  ^ 
oo  0000  00  00 

Cs  cs  OS  Oi  Cs 


t>- r^  M  t*  cp  ec 
'^  lib  10  o  ^  'C 

OS  CS  CS  Cs  Cs  CT 


cpQO'^ic  CSr^QWcO  co-^'£OSM! 

OS^cpiOC^  r^-CSOOO-**  OOQQOO"? 

ooco^o^-  c2®SPr5t;  oioocot^cs 

'<*<w5cDr^t^  ooooosoo  i-t^^csNco 

t^r*t^t-»t~*  t>-r-t-»oooo  0000000000 

OS  OS  OS  OS  OS  OS  OS  OS  OS  cs  cs  cs  OS  cs  OS 


t-  .-H  Ub  cs  CO 

CO -rj*  -^  -^  o 
00  00  00  00  00 
OS  OS  cs  OS  OS 


000000c 

OS  OS  OS  O^  Cs 


cs     cictocscsoo     »-i^t^^ot>- 


5£S     3^  =5  r::^  99  "^     oqoc^cso     00  •**  00  cs -n* -^ 
scs       -Tfcooocsr- 1      cSTf<io:or^      t^ooooososcs 

500        OOOOOOOPOS        CSOSOSCSCS        cs  OS  OS  OS  OS  cfc 


OOOOOOOOOO        OOOOOOC 
OOSOSCSCs       OsOSOSCSCS        CSOSCSCSCSO) 


■^foooocsco 

CO  C<l  -^  -<ti  <-' 
^H  cs^COO 
>o  »o  CD  r—  CO 


oioooo»-i      1-icS'^r^cs 

cooQ®  r    —       ' — 

25?5oo-« 

00  OS  CSC 


QC-HCSCSO 
CS"^  oocs  o 
CO -^-^  10  to 
00  0000  00  00 


300  0QCSQ 

lO  3  -O  CO  t^ 
00  00000000 


cs  CO lO cs       CSiOl^uOO 
QwSps.-*      cscsor>-co 


cocD  w5  OS 
»ooooci 
r^r--. 

00  00 


Cs  OS  OS  cs  cs        OS  OS  OS  OS  OS        CS  OS  OS  OS  OS 


OOOOOOOOOO 
OS  OS  OS  OS  c^ 


iCSt^OCSCO 

^^i-(?5cscs 
OS  cs  %  OS  OS  en 

OS  OS  OS  Cs  OS  OS 


co^  cocs  ^ 
^c^csco^ 

»0  CO  CO  l>-  00 
OS  A  OS  OS  OS 


COOO'-tCOTt*  '^U^b-O'O 

'^Sr^io^H  icr«.r*cDCs 

CsiOi— ir^CO  OOCOOQCOOO 

OOOSOO1-I  i-tCSCSCOCO 

i>.r^oooooo  OOOOOOOOOO 

OS  CS  OS  O  OS  Cs  OS  OS  OS  OS        cs  OS  cs  Cs  OS 


O  OS  03  OS  OS 


CSOOQCOCO 

o  cs  CO  »f5  t^ 

OS  Cs  o>  o  cs 

OOOOOOOOOO 
O^  OS  cs  O^  OS 


COOCOCOCS        C^CSOOCS— 100 

»ooooosr^   lO  "M  10  OS  .-H  ^H 


OS  Cs  OS  cs  OS   cs  cs  cs  cs  OS  0 


'O  0>  O^  CO  "^ 

r--  ■^  ^  osio 

OCO  t^t^  00 
O  O)  OS  OS  Cs 


-h-XjOS^hCS  CSCOiOOOCO 

CS'^'-tCOCs  CO»OiOCOO 

csoo4!Oto  T-H  CO  1-H CO »-< 

CSOSQ^H^  cs  M  CO  CO '^J* 

r»r>-ODsooo  0000000000 

CS  OS  OS  Cs  OS  OSOSOSCSCS 


»6CSCOb-.»-t  lOOO^iOOO 
-gj-^iCiOcO  cocot^txt^ 
OOOOOOOOOO         OOOOOOOOOO 


*CCOt-C 

-i-Oi-ii 

scoc  - 
:)ooc 
ooooc 


Cs  cs  OS  cs  cs   cs  cs  OS  OS  OS    Cs  OS  OS  OS  OS 


soDcpcrS^  co^b»r^io 

dscsososos  OOQOO 

OOOOOOOOOO  oScfccKos 

cs^csosos  cscscscsos     cs  OS  OS  OS  OS  a£ 


OOcOOCScp 
CO  cs  CO  r*"  00  OS 

S'X"  t^  r>-  r^  t^ 
OOQOO 
CS  OS  OS  Os  OS  Od 


"^CSCfl-^iO  »OcO0Qi-4cO 

OSiifsOtO  OC<lMi-Ht— 

^  ^H  !>■  CO  CO  "^  OS  ^  CS  CO 

csoOi-^^H  csc^coeo-^ 

r^oooooooo  OOOOOOOOOO 

OS  OS  Cs  cs  Cs        OSOSOSCSCS  cs  Cs  OS  A  OS 


oo«cscot>- 

^H  CO  OOt^  -9* 

CO  r^  00  00 


cs*-<csuo»c 

cs  »0  CO  »C  CO 
OOCS  CO  o  -^ 
^  w?  10  O  CO 
OOOOOOOOOO 

OS  OS  OS  OS  OS 


I^CSC^CO-^ 
OS -^  h*  00  00 

cor^r>*  1^06 

OOOOOOOOOO 

OS  cs  o  cs  OS 


oocoogseo      coas^^a)'' 
cococsc^io      CO  »o  Tt<  o  c 

CO"OOOi-HCO         L??I^CS»-tC 


00  CO  05 

'^  -~  '^  'ytuo        cc_,, 
M^CSf 

uy  oy  uu  03  03        oSOSCSC 
OOOOOOOOOO         OOOOOOC 

OSOSOSCSCS        cs  OS  cs  Cs  OS 


OS  Cs  cs  OS  OS 


cocoococso^ 

~"    188 

S  CS  Os  CS  Cs 

CS  OS  cs  Cs  Os  cs 


in  OS  OS  CO  '^ 
oOcs  -^ -f  ^ 
csor--^'-' 
CO  t^  1^  00  OS 

cs  cs  cs  OS  Os 


»-*'XJOS^HCS        CSCOIOOO 
-^ —     —        I^OSOSt^ 

>  w  cs       -=^  —  —    ■■ 


00  t--co  t^  OS  c 
■  ---^c_ 

_    _  -   -  CO  CO  ^  '^ 

00000000  OOOOOOOOOO 

OS  OS  OS  OS  cs  cs  OS  OS  O)  cs 


OSOOCsC^CS        M*OCSfO>-* 


©CO  161 


00— iCSCSO 

o  »o  osco  r^ 

oooooiSoo      0000000606 

Os  OS  OS  OS  Cs        cs  OS  OS  OS  OS 


^co^-coo      Ocpoocoi-t      -^ 
^Oiocscs      co^or^co      r>. 

iOS^^COcp        OOOC^COiO        CO 


00  cs  Cs  O  OS 
OS  OS  cs  OS  OS 


.oo>— 1>— tr-  oocoocsco 

r>»os<-<i— la  t^  CO  r*  >— <  6)  CO 

"Op-C&OO  r-tCSCSCOCOCO 

scsoscscs  csosososcscs 

scsCsosos  csosososcscs 


oocscscpi^ 

'^CSi-HOI^ 

io?^0  r-  CO 

CO  I^  00  QO  OS 


-^CSCS-^iO  »J5:O00'-*cp  cs^cs»o»c 

CSTftiOCOOS  CO>OiOrttO  »OOOOSOOcO 

Q'OlCSOOCO  c6rj4CS^OS  COI^'-<»OOS 

SO'-H'-tCS  ^coco-^n?  ioiocococo 

OOOOOOOOOO  OOOOOOOOOO  OOOOOOOOOO 

OS  OS  O  A  OS  OS  OS  OS  Cs  OS  OS  OS  OS  OS  cs 


^>.cscscoM* 

CO  CO  O  CO  CO 

00  00c 


cs  OS  Cs  OS  OS 


S  OS  OS  OS  OS 
OS  OS  OS  OS  OS 


coco  csco  cs  ^ 

CO  O^  CO  t^  cs  OS 
"^  Tt*  10  iC  »0  lO 


3u5r*  coco 
5»ocs  cscp 


Cs  OS  cs  OS  OS 


csr^p^fo      co'^coca^ 
S  J^  ^  o  i-t 


csOiOOco  1— it^CS: 

Qp— <cs55  coe2:!t'-     - 

OOOOOOOOOD  OOOOOOOOOO 

O  cs  OS  OS  O)  OS  OS  O)  OS  OS 


OCSQCOCO 
^HCOiQ'*  cs 
COO"^OOCS 


'OOP'»J*CS 

00  CO  CO  ^»  r^ 


OS  OS  OS  cs  cs 


o  S  OS  cs  OS 

^  0%  OS  OS  Cs 


OS  cs  Os  OS  Cs 
OS  OS  OS  ;..  OS 


O-^^OOOS 


Cb  Os  cs  Cs  Os   OS  Cs  OS  Os  Os   OS  Os  cs  OS  cs 


00  001 

OS  cs  Os  Os  OS 


OOOCS— iiO  «0'— iCO'-icO 

T-it^COt— OS  OOOOiOO 

Tt<cpO^HCO  cpOOCS^CO 

cspospo  poo^^ 


COCOcOpCS  »0»Ci-tm'*— I 

-^t^oooor^  '9*piocoo<-t 

-4*iocor^oo  osppO'-t^H 

^^^^^  ^^^cscsc^ 

OS  cs  ^  OS  OS  o  OS  OS  OS  cs  OS 

OS^AOsCS  CSCSOSOSOSOS 


cs  wCSiO»Q 

»-*  ■-*i  iO  ^  cs 

T-i  "O  cscor-* 


b*  C3  C*J  CO  '^  00  CO  O  OS  CO 

ooro-X)r>.r^  •ocsoO'-t'^ 

O  tJ*  h- O  CO  CD  cs  •-•  Tt' to 

oooboocscs  oosopo 

OOOOOOOOOO  O000CS^C3S 

O  cs  Oft  OS  Cs  OS  OS  OS  OS  OS 


O^^-HrH 


^  ^H  ^  ^  O  CO  CO 

CSCSCOCOCS  CiiO0SC0»O»O 

CO  00  cs  O -— «  I— I  CS  C^  CO  CO  CO 

^^^e<ics  cs^cscscScs 


cs  Os  cs  OS  Os 
OS  OS  OS  OS  OS 


OS  cs  OS  OS  cs  OS 
OS  OS  OS  cs  OS  cs 


CScpcOO-H 
»0  cs  pi^CO 

t^  000  oso 
r-t>-t>-t^oo 

a  Ob  OS  OS  Os 


00  CO  to  00  p  O:  P  C^  »C  O 

CSifSiQCOOS  McOcP'**'-" 

OcoCSooco  o-^ro^cs 

i-H^CSCSCO  ^'^'^^»^ 

OOOOOOOOOO  OOOOOOOOOO 

Od  OS  OS  OS  OS  OS  cs  Cs  OS  o 


CD  »0  -O  i-t  OS 
■-poo  OS  OS  CO 

5 r-  ^  toes 
_5  -o  t^  1^  r>- 

0000000000 

OS  OS  OS  OS  Cs 


OS  OS  OS  Os  Os 


r-cs»ocooo 


OS  Os  OS  OS  OS 

OS  OS  OS  cs  cs 


^lOoocc^  i^r^cot^coco 

i2iS?^fcS  cocs-*<f^oso 

OSO'-HCSCO  '^'^«0»OtOCO 

rJSa^^^  cs  cs  cs  <si  c5  oi 

cs  OS  cs  OS  OS  csososososcs 

CSOSOSCSCS  cs  OS  OS  OS  OS  o> 


gbO 


UO  tOt^QOOs 


■^  ■^ -^^ -^  Tfi        iO»OW3u^»0 


C^CO-^        lOcOt^OOCn       O'-tCScO;*'       »OCDh-.OOOS       Oi-tCSCO"^       »OcOt^00CS       Oi-tCS 


ss 


r^ootra       *_?•— n,^c^j"^       "j'ijr-uuoa       tJ*-»cNCT*T'        ujcor>-ooos       ^i-^CScO'^        *ftcD»»*Of)a5tf5 

tOioo      ocDcococo      ococococo      r»t^r*t^t^      t^r>.t>-t>.t>-      oooooooow      oooooooooocB 


S8SS2S    SSSSS?    S5!^S8    SSSas    SSSfSSg    S;3:$S3§    SSS2S    SSI?S?3^    S?S£?3i8 


Page  168] 

TABLE  V. 

The  Finding  of  the  Azimuth. 

9-2 

C  O  ^  00  (M  CO 
SOOOrt-H 

.sjo 

O  -rOO(MCO 
iMIMNCOeo 

O  -"K  00  M  CO 

.-r^-^-io-o 

O  O  O  •-*  f-* 

O  't'OOOlcD 
NC^C<»COCO 

O  M"  00  (MCO 

"9"  ..r  -.I*  lo  to 

o  -j«ao  CM  CO 

OOOrHrH 
CM 

o-^ooo»m 

C^MiMCOra 

O  -"TOOIMCOO 
CO 

O     Ort  C>«CO-1< 

locpr^ooos 

Oj-tcsco-j* 

lOCOt^OOOS 

O-^CMCO-O' 
C^«<M<M(M 

iocor>.coos 

(MC^C^OJM 

OrHCMCO-^ 

COCO  CO  CO  CO 

«0  CO  1^00  OS 
CO  OO  CO  CO  CO 

0^(MCO  -n-o 

a 
o 

Q 

b 

—00 

08752 
38848 
56446 
68924 

78596 
86489 
93155 
98922 
03999 

08533 
12626 
16354 
19775 
22934 

25866 
28600 
31160 
33564 
35830 

37971 

39999 
41924 
43754 
45497 

47161 
48750 
50271 
51727 
53123 

54463 
55750 
56987 
58177 
69322 

60425 
61488 
62612 
63500 
64453 

65373 
66260 
67117 
67944 
68743 
69516 

00  00  00  00 

00  00  00  00  OS 

OS  OS  OS  0>^ 

OS  Os  Oft  OS  Os 

Oi  OS  OS  ^  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  0>  OS  OS 

OSOSOSOSOSOS       I 

b 

o 

—00 

09135 
39231 
56829 
69307 

78979 
86872 
93538 
99305 
04382 

08916 
13009 
16737 
20158 
23317 

26249 
28983 
31543 
33947 
36213 

38354 
40382 
42307 
44137 
45880 

47544 
49133 
50654 
52110 
63506 

64846 
56133 
57370 
58560 
59706 

60808 
61871 
62895 
63883 
64836 

65756 
66643 
67500 
68327 
69126 
69898 

00  00  00  00 

00  00  00  00  OS 

OS  OS  Os  Os  Os 

OS  OS  OS  OS  OS 

OS  Os  Os  OS  Os 

OS  OS  Os  OS  Os 

OS  OS  OS  OS  OS 

OS  OS  Os  OS  Os 

oso>*sososo>     1 

© 

M 

—CO 
8.09510 
8.39606 
8.57204 
8.69682 

8.79354 
8. 87247 
8.93913 
8.99680 
9.04757 

9.09291 
9. 13384 
9. 17112 
9.20533 
9.23692 

9.26624 
9.29358 
9.31918 
9.34322 
9.36588 

9.38729 
9. 40757 
9.42682 
9.44612 
9.46255 

9.47919 
9.49508 
9.51029 
9.52485 
9.53881 

9.55221 
9.56508 
9.57746 
9. 58935 
9.60080 

9.61183 
9.62246 
9.63270 
9.64258 
9.65211 

9.66131 
9.67018 
9.67876 
9.68702 
9.69501 
9.70273 

-co 

09879 

39975 

57573 

70051 

79723 
87616 
94282 
00049 
05126 

09660 
13753 
17481 
20902 
24061 

26993 
29727 
32287 
34691 
36957 

39098 
41126 
43051 

44881 
46624 

48288 
49877 
51398 
52854 
54250 

55590 
56877 
68114 
59304 
60449 

61652 
62616 
63639 
64627 
65580 

66500 
67387 
68244 
69071 
69870 
70642 

00  00  00  00 

00  00  00  OS  OS 

OS  Os  Os  OS  OS 

OS  OS  OS  9  Os 

OS  OS  OS  OS  OS 

Os  OS  Os  OS  Os 

OS  OS  Oi  Os  Os 

Os  Os  Os  Os  Os 

OS  OS  OS  OS  0>  OS       1 

b 

M 
OS 

—00 

10242 
40338 
57936 
70414 

80086 
87979 
94645 
00412 
05489 

10023 
14116 
17844 
21265 
24424 

27356 
30090 
32650 
35064 
37320 

39461 
41489 
43414 
46244 
46987 

48661 
50240 
51761 
63217 
64613 

55953 
57240 
58477 
59667 
60812 

61915 
62978 
64002 
64990 
65943 

66863 
67750 
68607 
69434 
70233 
71005 

00  00  00  00 

OO  00  00  OS  OS 

0>  OS  OS  Os  OS 

OS  OS  O)  Os  Os 

OS  ^  Os  Os  OS 

OS  ^  OS  Os  o^ 

O  OS  OS  OS  OS 

Os  OS  OS  OS  OS 

OSOSOSOSOSOS       1 

—00 

10599 
40696 
68293 
70771 

80443 
88336 
95002 
00769 
05846 

10380 
14473 
18201 
21622 
24781 

27713 
30447 
33007 
36411 
37677 

39818 
41846 
43771 
45601 
47344 

49008 
60597 
62118 
53574 
54970 

66310 
57597 
58834 
60024 
61169 

62272 
63335 
64359 
65347 
66300 

67220 
68107 
68964 
69791 
70590 
71362 

CO  00  00  00 

00  00  00  OS  OS 

OS  OS  OS  OS  o> 

OS  OS  OS  Os  Os 

Os  Os  Os  OS  Os 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

Os  Os  OS  Os  OS 

Os  Os  OS  Os  Os  OS       1 

b 

« 

N 

—CO 

10949 
41046 
58643 
71121 

80793 
88686 
95352 
01119 
06196 

10730 
14823 
18551 
21972 
25131 

28063 
30797 
33357 
36761 
38027 

40168 
42196 
44121 
45951 
47694 

49358 
50947 
62468 
53924 
56320 

56660 
57947 
69184 
60374 
61519 

62622 
63685 
64709 
65697 
66650 

67570 
68457 
69314 
70141 
70940 
71712 

00  00  00  00 

00  OO  00  OS  OS 

Os  OS  Os  OS  Os 

OS  OS  OS  OS  OS 

OS  OS  Os  OS  OS 

Os  OS  OS  Os  Os 

OS  OS  OS  OS  OS 

OS  OS  OS  Os  Os 

OSOSOSOSOSOS     1 

—00 

11293 
41389 
68987 
71465 

81137 
89030 
96696 
01463 
06540 

11074 
15167 
18895 
22316 
25475 

28407 
31141 
33701 
36105 
38371 

40512 
42540 
44465 
46295 
48038 

49702 
51291 
52812 
54268 
56664 

57004 
58291 
59528 
60718 
61863 

62966 
64029 
65053 
66041 
66994 

67914 
68801 
69658 
70485 
71284 
72056 

oooooooo 

00  00  CO  OS  OS 

OS  OS  OS  OS  OS 

^  OS  OS  OS  OS 

Os  OS  OS  Os  OS 

OS  Ofc  OS  OS  OS 

OS  ^  Os  Os  Os 

OS  Os  ^  Os  Os 

OS  OS  Os  Os  Os  Os       1 

b 

w 

—00 

8.11632 
8. 41728 
8.69326 
8.71804 

8.81476 
8.89369 
8.96035 
9.01802 
9.06879 

9.11413 
9. 15606 
9. 19234 
9.22655 
9.25814 

9.28746 
9. 31480 
9. 34040 
9.36444 
9.38710 

9.408.51 
9.42879 
9.44804 
9.46634 
9. 48377 

9.50041 
9.51630 
9.53151 
9. 54607 
9.66003 

9.57343 
9.68630 
9.59867 
9.61057 
9.62202 

9.63305 
9. 64368 
9.65392 
9.66380 
9.67333 

9.68253 
9.69140 
9.69997 
9.70824 
9. 71623 
9. 72395 

1 

— OO 

11964 
42060 
69658 
72136 

81808 
89701 
96367 
02134 
07211 

11746 
15838 
19566 
22987 
26146 

29078 
31812 
34372 
36776 
39042 

41183 
43211 
45136 
46966 
48709 

50373 
61962 
53483 
54939 
56336 

57675 
58962 
60199 
61389 
62534 

63637 
64700 
65724 
66712 
67666 

68585 
69472 
70329 
71156 
71955 
72727 

oooooooo 

00  00  00  OS  OS 

OS  OS  OS  ^  Os 

OOS  OsOSOS 

Os  OS  OS  OS  OS 

OS  OS  Os  Os  OS 

OS  0>  OS  OS  OS 

OSOS^^OS 

OSOSOSOSOSOS       1 

§ 
1 

—CO 

12291 
42387 
59985 
72463 

82135 
90028 
96694 
02461 
07538 

12072 
16166 
19893 
23314 
26473 

29405 
32139 
34699 
37103 
39369 

41510 
43538 
45463 
47293 
49036 

50700 
52289 
53810 
55266 
66662 

68002 
59289 
60526 
61716 
62861 

63964 
65027 
66051 
67039 
67992 

68912 
69799 
70656 
71483 
72282 
73054 

oooooooo 

00  00  00  OS  OS 

OS  Os  ^  Os  Os 

Os  OS  Os  Os  A 

OS  Os  OS  Os  Os 

OS  Os  Os  OS  Os 

OS  OS  OS  OS  OS 

OS  OS  OS  Os  Os 

OS  OS  Os  OS  Os  OS        1 

© 

—00 

8.12611 
8.42707 
8.60305 
8.72783 

8.82455 
8.90348 
8.97014 
9.02781 
9.07858 

9. 12392 
9.16485 
9.20213 
9.23634 
9.26793 

9.29726 
9.32459 
9. 35019 
9.37423 
9.39689 

9.41830 
9.43858 
9.45783 
9. 47613 
9.49.356 

9.51020 
9.52609 
9.54130 
9. 55586 
9.56982 

9.68322 
9. 59609 
9.60846 
9.62036 
9.63181 

9.64284 
9.65347 
9.66371 
9.67359 
9.68312 

9.69232 
9.70119 
9.70976 
9.71803 
9.72602 
9. 73374 

05 
M 

—00 

12927 
43023 
60621 
73099 

82771 
90664 
97330 
03097 
08174 

12708 
16801 
20529 
23950 
27109 

30041 
32775 
35335 
37739 
40005 

42146 
44174 
46099 
47929 
49672 

51336 
52926 
54446 
55902 
57298 

58638 
59926 
61162 
62352 
63497 

64600 
65663 
66687 
67675 
68628 

69548 
70435 
71292 
72119 
72918 
73690 

00  00  00  00 

OO  00  00  05  0> 

OS  Oi  o>  Os  Os 

0>0)  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  Os  OS 

OS  OS  OS  OS  OS 

Os  OS  Os  Os  OS 

OSOSOSOSOSOS       1 

b 

o 

05 

M 

80*£Z 
08609 
2888* 
98281 

oo- 

83080 
90973 
97639 
03406 
08483 

13017 
17110 
20838 
24259 
27418 

30350 
33084 
36644 
38048 
40314 

42455 
44483 
46408 
48238 
49981 

61646 
53234 
54756 
56211 
57607 

58947 
60234 
61471 
62G61 
63806 

64909 
65972 
66996 
67984 
68937 

69857 
70744 
71601 
72428 
73227 
73999 

oooooo  00 

00  00  00  OS  OS 

OS  OS  ^  OS  Oi 

OS  OS  OS  OS  OS 

OS  OS  0>  OS  OS 

OS  OS  os^  Os 

OiOiOiOiOi 

OS  OS  OS  OS  OS 

OS  OS  OS  0>  O^  Ok 

1' 

ill 

3 

•   Oi-icMco-r 

•O  CO  t>-  00  OS 

OrHNCO-S- 

to  CD  t^  00  OS 

SSS?5S 

to  CO  I^OOOS 
o5  CM  CM  CM  CM 

OrHCMCO-^ 
CO  CO  CO  CO  CO 

lO  CO  t*  00  OS 

O  rH  CM  00  ■*»*  to 

TT  -^ --f -* -"J"^ 

r-t  rHrH  rH  rH 

K  O  -K  00  IM  CO 
«=000-H-^ 

O-^-OOlMCO 

(MMCMeoco 

O->J<00<MCO 

8SSJ2S 

o->i<oocqco 

IMCTNCOCO 

O**  00  CM  CO 

^  -^r  -^to  to 

§S§J2S 

IM 

©•"fOOIMCO 
<M(MC^COCO 

O^OOCMCDO 

'^  Tj«  -vto  too 

CO 

TABLE  V. 

The  Finding  of  the  Azimuth. 


[Page  169 


^2 


ess§2s 


S^  QO c^  1:0       o^aoNcj 


iCCWcO       O-y'OOC^O        Q"^0QC^cO        OMiOOC^-XJO 
H'-tiiOiO       ooo«-<»-«       CIC^ChcOcO        ■^■^■^lOiOO 


lOCOt^OOOs        0'-*MCO-^        lOOt^OOa*        O'-^WCOM*        lOCOb-OOOj       o»-<c^co-^        »OCOt--00Ol 


lO^OiOOtO        u3tO»0»0»0        cDcDcOO^        tocOCOCOflO        t-t--t-l—  t-        t^t^t^t* 


01      Q --« N  CO  ^      »o  to  r- 00  01  O 

l^        OOOOCOOOCO        OOOOOOCOOOOi 


»0  OS  OS  CO  -^ 

ioo5  ^  CO  CO 
coi^i>- t^r* 

03  OsO^OdO^ 


ScO  CV) 
<N  CO  ^r    - 
l^  t^  t*  t-*  t^ 

OS  03  OS  Od  OS 


cO'^'^rio      kococot^t^ 


0>  ^  OS  ^ 
-  coco  t 

03  01  O)  OS  OS 


CSQOOS-'KN 


Os  ^  O  ^  0> 


^^'^^^^  *^Wf^^O  OtOCO'-Of-H  ^HOQ*-^»-tt>  OOCOOOSCD 

OSCrStOGCOO  COCOCOC^.O  CDiOWOO  OC<Srr-»rC^  OCOO-VOCO 

§ooS;2  22c^c3S^  oc^-^oF-  c5o-Hc5?o  ^-^^loloio 

«S§oooo  oooOGOccoo  o8S3S3o85?  o3SSSS  S^cSS»S 

OOSOS^OS  OsOSOSOSOs  OSOSOSOSOS  OSOSOSOSOS  OSOsOsOs^Os 


00  CM  N  O  t- 

OS  ■^  (O  lO  04 
00  -XJ  CO  Q  t- 
OSO  -^  C5  C^ 


O  CO  "^  CO  f-t   r- C*1  lO  CD  :0 


_  _.  t^»-Hi0  01CO 

CO  CO  Tj"  LO  10  CO  CO  ^- t^  00  00  OS  OS  OS  Q 

t--t>-t-^t^r^  t^t>-t--'t^t^  r-t^t^t^^ 

OS  OS  OS  OS  OS  OS  OS  ^  OS  OS  OS  OS  OS  OS  OS 


t-ONCOt* 

r-  c*l  lo  CO  :0 

CO  O  CO  -^  OS 

SoO  OOQO  00 

OS  OS  OS  OS  OS 


OOCOO<^  M 
-t"  f-t  t^  O  CO 

(M  4C  r-  O  (>» 

(N  cs  c^  .-o  ro 

000000  0000 

OS  OS  OS  OS  OS 


^SJr^j?"^  -w;  1-t -t; -rr  o  oocooscowos 

■n-coc^O^rr  a)w(N«.-i  cySTCCCM-w-^ 

fCOGOCD.-*  (N-^iOCOt--  t-CCOOOldsOS 

0000000000  ooooooSoo  coSS^oSoB 

OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  OSOSOSOSOSOS 


cc^*^*1^^^^  os-^t^os 


j;:-^  CO  coo 

C^  O  t^  TP  1— I 

o^^c^co 
OS  OS  O^  OS  OS 


b*  CO  OS  "0  1-t 
CO  Tj«  ''J'  to  CD 

OS  OS  OS  OS  OS 


O-^  eocO  «-t 


t-CDt^C^Q 

_- r^o-^^OT 

cDi-hcD'-hO  OUOQSCO--D 
COr^b-OOOO  OS  OS  OS  Q  o 
b-b-b-t^t--         b-t^t^OOOO 

OS  OS  OS  O)  OS        OS  OS  OS  OS  OS 


(Nt^t-r^CS 


_,  r-<  ^  C^  <M 

000000  00  00 
OS  OS  OS  OS  O) 


CM  OS  ^f  00  O        T-»  1-1  OS  "^  i-H 


OS  OS  OS  OS  OS 


OS  :DOi<: 


00  00 -^  00 1- ■*r 
in  i-H  CO  OS  i-<  c^ 

CM  CM  C^  CO  CO 


00  ^  to  •t*  OS 

'1— lOscO^H  irauucnosou 

o^couo  cor^oooso      .     -._ 

00  00  00  00  GO  QOOOOOOOcSs         00  OO  OO  S  W  00 

OS  OS  OS  OS  Oi  OsOSOSOSOS        OSOSOSOSOSOS 


CM  cOcDO^^ 
SrHCSCM  CO 

r- 1^  t^  t^i^- 
os  OS  OS  OS  OS 


OOCOCOOOOS  OSOCMiOO 

f-H  ^J<  Tf  CM  OO  N  tO  »0  CO  O 

i-HI^COOS-T-  OiOQ'QO 

t^  b-  b-  t-^  t—  t-  r-  t-  t^  r- 

OSOSOSOSOS  OSOSOSOSOS 


CO  *«  CO  "tJ  OS       *-HcO«0000 


TT  t^  00  00  O  CM  CO  OS  *-<  O        OSCD'-HLOt'- 

-lOOCMcOO  TT'l^O'^l--         -'      ~ 

.OSQQ^  •-'■-'CMCMCM 

•  t^OOOOOO  0000000000 


-  b*  CO  t'^  CO 


CMO-**<cob-  ^■-colOcooQ  oomooooTt^  h-i-    . 

^CD'-HiOt'-  OOOOCDCOOQ  CMiOCDcDiO  MOOCOOC^,^ 

CMiOt^OS  '— 'COtOb-OO  O'— 'C^ICO'^  lOtOCOCOCOCO 

00  SSSooob  ooSSSS  000008SSS 

OSOSOSOSOs        OSOSOSOSOS        OSOsOSOlOS  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  OSOSOSOSOSOS 


UO  OS  OS  CO  Tf*  ^^COOS^CM 

S-fj»COCOCO  OOOOOStO 

t-. -tr  »— t  00  ■Tp  .— t  b- c^  QO 

*-l  fH  CM  CO  CO  ■^  lO  "O  CO  CO 

i^t^r-t^t^  t- b- t^  t- 1'- 

OSOsOSOsOS  OSOSOSOSOS 


CM  com  00  CO 


»00OS-<J'O3  ■«*«  OS  OS  CO --<  iOt«?l>-!00  OCOOQCO>-H  FH00i-H^Ht>.  O  O  CD  O  OS  CO 

QCOn'^rCM  00CMiOt~^t>-  iJOCMr^r-i-^  iOttCMOSi-O  OSi— icOCO'— •  osioosco-^o 

^^coo^  f^rirct^o  cocooo»-Hco  ior-a>ocM  co»ocDb-oo  ooososooo 

OSQO'— '•— •  i-^CMCMCMCO  COCOCO-^"^  "^^r-^Ln'^^  iOiQt.'SiOiO  inioocococo 

b-00  00  0000  0000000000  ooooooobyj  0000000600  ooooooo6g«5  OOCCOOOOCCOO 

OSOSOSOSOS  OSOSOSOSOs  OS  OS  OS  OS  OS  OS  OS  Os  OS  OS  OSOSO^OSOS  OSOSOSOSOSOS 


C^COCOO^        OOcO^OOOOS       OiOCMtOp 

CO'-iOOiO'-'        00Tt«O«0?5         t^CMt^CMb-. 
^CMCMCO-^  -----  . 

t^  b-  b*  t>- 1^ 

OS  OS  OS  OS  OS 


JCD«D'^< 
Tt«0«OC  . 

"TP  lo  CO  CO  r— 

t^  b- t^  t-^b- 
OS  OS  OS  OS  OS 


b*AO  < 

.     t^CMl 
00  00  OS  OS 

OS  OS  OS  OS  OS 


CDiO«O^HOs        1-(CDCOOOO 
COOSOC^  -  


CMQ*t<  cot* 
t-*  00  CO  t^  OS 

r-  OS  CM  ■^  CO 
CO  CO  ■*»<  "»r  ■^ 
oiSoooooOo) 


OS  OS  OS  OS  OS   OS  03  OS  OS  OS   OS  OS  OS  OS  OS 


b*  CO  "5  CO  CO 


TOOoSoD  06 
OS  OS  OS  OS  OS 


00  10  00  00 -"J* 

-^  t—00  00  b- 
t^QOOSO  ^ 

io>o  »o  coco 

CO  00  00  00  00 
OS  OS  OS  OS  OS 


t^  b- CO  t^  <D  CO 

TPOira  00  o^^ 

CM  CO  CO  CO  rr  •«3' 
CD  ^  CO  CO  CD  CO 

000000000000 

OS  OS  OS  OS  OS  OS 


WCOCOO^       oococoooos 


OOf-H  1-1  OS  lO 

1-100  -^  OS  10 

CO  CO  ■V         10  »0  CO  ^  b- 

'    ~    '        b- 1^  b^b-  b^ 


<  10  t^  b-  ^ 

b-  -^  ^^  00  trs 

i-<  CM  CO  CO  ■V 

b-b-b^  b- 1^ 

OS  OSOsOSOs        OsOSOSOsOs        OsOsosOSOs 


CD  »0  CO'-'  OS 
■  — <  tOiOCM 

>    COb-    F- 1 

>.-trHCM 
500  00  00 

OS  OS  OS  OS  OS 


»-<  cOOO  00 


CM  O  -^  COb- 

CO  COOOCM  TP 
O  COiOOOO 
^  Tp  Tf«  tP  lO 
00  00  00  00  00 


b>.COiO  COCO 
O  10  CO  Q  »0 
CM  -^  CD  00  OS 
u5  10  iO  »0  10 
OOOOCOOOCO 


00  00  *r      b"b-cob-cDco 


OS  S  coco C^ 

O  CM  CO  Tt<  lO 

CD  CO  CO  CO  CO 
CO  00  00  00  00 


OS  uo  o  CO  10  CO 
»0  CO  b-  b-  b^  t'- 

CD  cO  CD  CO  CO  CO 
00  00  00  00  00  00 


OSOSOSOSOS       OSOSOSOSOS        OS  OS  OS  OS  O       OSOSOSOSOs        OSOSOSOSOSOS 


000  lO  CM  OC 
CMCM  CO-^'^ 


CM  b-OCM  CO 
CO  lO  CO  ■<»"  o 
10  1-1  r^  coos 
*0  O  CO  I^  b- 
b-b-t^b-t-. 

OS  OS  OS  OS  OS 


rcOosTP       OOsOioeo 


Tf  CD  CO  ^ji  ^H 
*r  0»  ■^  OS  f 

COOOOSOSQ 
b^b-b~  b-« 


CDM'OO  b-^H 
Ob^  CM  CD  OS 
Tj-  CO  OS  .— f  CO 

Tj<  tp  ■-r  40  lO 

OOOOCOOOCO 


^b-Ost^CM        CMOSC^CMCO        ^wb,r-i<: 
OOsb-'J'O       ^rcoooooco       ■^Otooc 


CD  b- OS  i-H  CO        ■•?•  «0  C 


sss 


OOCO         00  00  OOOCQO 
OSOSOSOSOs       OSOSOSOSOS        OS  OS  OS  ^  OS        OS  OS  OS  OS  OS       OSOSOSOSOs       OSOSOSOSOs 


O  CO       CD ':D  CO  CO  CD       cO  b- b- b- b- b- 
—  -^  00  00  00  CO  GO  00 

OS  OS  OS  OS  OS  OS 


OSCOUJiJ^  J4 

CO  ^H  00  10  CM 
CM  CO  CO  •9'  lO 


i-<  CD  Oi  ^  CM 
b^  OS  ^  00  tP 
00  ■^  O  CD  CM 

»o  CD  b-  r      ~ 


CM  CO  in  00  CO 

COOQOQiO 
b- CO  00  CM  t^ 


OS  00  01 -^  CM 
OS  C^  CO  CO"-! 

00  00  00  00  00 


ooooooSS 


■^  1-f  cooco 
b-OCM  10  b- 

otSooSoo 


b-I>-t^b-b-.       b^b-b-C 

OS  ^  OS  OS  OS   OS  OS  OS  ^  OS   O^  OS  OS  OS  OS   OSOSOSOSOS   OS  OS  OS  OS  OS 


OOOOCO*-H 

•r  CO  1-H  30  ■'^ 

OS  — <  CO  T  CO 

SCO  CO  CD  CD 
00  00  00  00 

OS  OS  OS  OS  OS 


^oOTMwb- 

OOOCMCMO 
t^OSOi-iCM 
CDcD  b-  b-  r* 

00  00  00  00  00 

OS  OS  ^  OS  OS 


O  O  coo  OS  CD 

00  -r  cco5  eoTj< 

CM  CO  CO  -^  rp  "«^ 
b- ir^  b-  b-  b- b^ 

OOOOCOOOCO  00 

OS  OS  OS  OS  OS  OS 


CM  b-  OS  S  in 

b^Tp-^OOu^ 
CM  CO  -^  TT  O 

b-r^b-b*b- 


00  00  --ICO  ■^ 

SCMco-^r- 
00  -^  o  in 
coco  b-C 


OS  OS  OS  OS  OS 


I  00  -t**  c 
_)CO  b-C 

b»b-.b-b-b>- 

OS  OS  OS  OS  OS 


tt  uD  b»0  in 

■i-i  COCOM  00 


t^b-w  00  00 
OS  OS  OS  O^  OS 


*H  O  1-"  CO  Tf 

CO  CO  b- CO  ■^ 

0000000000 


OS  OS  OS  OS  OS 


COi-t  ^4lOCO  b-in 
0"5000SOs  b^  Tj< 
in  00  1-*  TP  t-      

CO  CO  ^  '^  ^ 

CO  00  00  00  00 

OS  OS  OS  OS  OS 


Sin  in  lO  CD      OCD 
0000  0600      0000 


CM  00000  CO 

b-coin  -^  b- 
cm-^  CO  00  OS 

-     -  coco  CD 
00  00  00 


COOCOCOOS  CM  CM  00  CM  T-(  00 

t-H  TT  in  in  CO  »-i  b^  i-(  in  t— t- 

»-<  CM  CO -^  in  CD  CO  b- b^  b- b- 

b- b- b- b- b^  b- b- b- b- b»  b- 

0000000000  000000000000 


OSOSOSOSOs        OSOSOSOSOS        OSOSOSOSOs        OSOSOSOSOSOS 


o  b-  in  CM  00 

CO  CO  "^  in  in 

b-  b-  b-  b*  t^ 


OSOSOSOSOS        OSOSOSOSOs 


OOOOO-^         rHCfl'frt-.CM 

CO  in  in  ■^  o      tp  CD  CO  ■^  <— ' 


CO  b' CO  CO' 


oCcmo 
00  00  00 


S3 


!S    3 


1-1  in  GO  <— <      i*«  CO  OS  •— •  CO 


coco       CO  ^ -n;  ■^  lO       in  in  in  c 
0000      oooooboooo      000000c 


OSOSOSOSOS         OS  OS  OS  OS  OS         OSOSOSOSOs 


OS  in  b»  in  o 

OS  Cs  t^  Tp  O 
lO  t-  OS  1— t  CO 
CO  CO  CO  b-  b- 

000000  00  00 

OS  OS  OS  OS  OS 


?  CD       OSi^iOOSOOiD 


Tp  in  CO  b-  00 


5  CO         CO  ^  -TP  b-  C 


.  b-  b-         b-  b*  C 


OS  OS  OS  OS  OS 


000000060666 

OS  OS  (^  ^  OS  OS 


,-.      __._ -J-ft^CM         GOb-OOCO*--         

b*»-^cocoQ      int^b-coc^      cooooococo      b-o^-^os      inc;scM-r 

CO^OOiDCM        OO-VQCOCM         b-CMb-CMI-^         r-fcDO'^t*        ^htj<00^ 


OS  OS  in  OS  00  in 


in  ^  00s  ^  CM 


CO  ■v  ■*?<  in  CD 

b-b-b-.b^b» 

OS  OS  OS  o  ^ 


o  mcoo^ 

OO-rr  QCOCM 

cot^ooooos       -    ,™^       „ 

b*t^t"-b^b-       i-o5oooooo 

OSOSOs^OS        OSOSOSOSOs        ^OSOSOsOs       OSOSOSOSOS       OSOSOSOSOS       OSOSOSOSOs       OSOSOSOSOs       OSOSOSOSOSOS 


^  osmb-mo  ot-»oo 

n- 00  O  1-t  1— «  OS  CO  C^  CO  GO  o  o 

_,__--  ,,-  ,  -^.  CM-rb-  OSi— iW-^CO  b-OOOi-'.         ,.., 

CMCMcococo       Tp'W''^intn       intncococo  cob-t>-b-t^  r-b-cccooo       0000 

OOOCOOOOCO         0000000600         0606000000  00000000 'GO  OOOOOCOOOO         COOO 


eo'tf'inino      b*b-    _    __ 

t^b-b-t^b-        l^b*b-b-t^ 


CO^^-^*  CD  t 
CO  OS  OS  b-  S 


t-  00  O  CO  00 


OSOSOSOSOs        OSOSOSOSOs 


00  00  00  00  00 
OS  OS  OS  OS  OS 


■V  CO  -^  35  t^ 
OSCM  COCiO 

^  (N  coco  -»* 

0000000000 


OS  OS  OS  OS  OS 


OS  ■^  '»J»00  CO 
CO  *-*•»»«  10  in 

■^  CO  1-H  -itf  b- 
M?  t  lO  lO  lO 

00  00  00  06  od 

OS  OS  OS  OS  OS 


oooCM^m      in-^cO'-^co 


ocoi^ooo 

CO  CO  coco  b- 
00  00  00  00  00 


OS  OS  OS  OS  OS 


coco^ooco 

CM  ^r  CD  b*  OS 
b^b-  b-i^r^ 

00  00  00  00  GO 
OS  OS  OS  OS  OS 


owococM  io»0'-'in'«j"-< 

b^OrH^O  b-COOO^CO-Tfi 

SCM  CO -n* "?  in  CO  CO  b- b»  b« 

OOCOOOQQ  CQOOCOOOOOOO 

0000060000  060000000000 

OSOSOSOSOS  OSOSOSOSOSOS 


CO  "^  in  CO  CD 
b-b-t^b-r- 

O  OS  OS  OS  OS 


^  9  OS  OS  OS       OSOSOSOSOS        OSOSOSOSOS       OSOSOSOSOs 


OS  b-^o  f 

f  ^r--i-i  CO 
COCO  00--^  CO 
CDCDCD  b^b^: 
00  00  QO  00  GO 

OS  OS  OS  OS  OS 


■^  O  CM  O  »0 
in  b-CSOCM 

t^r^b-ooGO 

OOOOCOOOCO 
OS  A  OS  OS  OS 


ooi-hw^.-^  ooM'S^s'in 

co»ncDb-co  ooososooo 

QQCdOOOOOO  06000Q^030> 

06CO000600  55  00  00  CO  00  38 

OSOSOSOSOS  OSOSOSOSOSOS 


a- 


lOCOb-OOOs        Oi-lCMCO'i*        lOCDb^OOOS         O'-'CMCO'^         'ncDb-OOOs         O-HCMC0*t<         ifSCOt—  coos        O'-HCM 


So  -V  00  CM  CO 
OOO--^^ 

*ctco 


---  ._-     --_         _  -.-  ._-     --,.         ., , ^.  ..,,„,-       mcDt^ooosc 

ininioioin      loiooioin      cococococo      cdcocdcox;      t*b-b-t^t^      t^b-i^i'-b^      oooooooooc      ooooooooooc 


s^ 


OOCMc©        0"*'»CMcD        O-^OOCMcO        O'<^Q0CMe0        O'a»00CMc0 
CMCOCO        ^r^ViOiO        000«^«-i        CMO*CICQCO        ■^'«»^>0»0 


ScM 


QOCMcO        O-^OOCMcOC 


Page  170] 


TABLE  V. 

The  Finding  of  the  Azimuth. 


N<D      o-*ooe»«5      o-^ooc»<o 


•  iO"^       ooo 


22    SSS 


'OCjC*'£i         O^OOWCO         O-^OOW^O        O'^COWtpO 


Oi^WCO"^        iOcOt*0COi        O'-hMCO'^        iCtor^QOOi        O-HCS?0'*t'       iO<Dh*Q0O5        O'-tCSCO'^        lOcOr^OOOi        Oi-^CSC*5'<r»0 
w        ^.iv--^  >*^  ^^^^^        ^^^^^        CSCSC4C4C1        C^C^WCiCN        CO  CO  CO  CO «        CO  CO  CO  CO  CO        -^f  TP -^ -<r -^ -v 


Oioo»oc^eo      cic>i--'-ieo 

t^OOCOirfO        OO'-H'-Hi-t 
odoOOOOO        0606060606        OsOsOiOiOi 


:  COCOQCO 

I  oco«oco 


'^OOQOC^OO 
CO  CD  M  CO  05 
CJI  Oi  »0  Oi  g 

S  S  (N  C5  CO 

Od  C>  O^  O  Ci 


coo$5C^sP 
CO  CO c^^  00 

CJ  ■^  CO  QC  Oi 
CO  CO  CO  CO  CO 

O)  03  Od  03  o^ 


COCOOOO.M        ,-lC 


<  CO  "0  CO       r- cc  00  00  00      ^-cp■^eo'— ic 
>  r-«  cn  CO      -^  lo  CO  r- og      oio»-hcscoc 

.._.^.j'         .i._.Te._.Ti         IOCOCOCO<OC 


gr-«  cn  CO       -^  lO  CO  r- c 
UO  lO  10        10  10  »0  iC  1 

0  C)  O  C)  O        O  0  03  ^  O^        OS  03  C)  Oi  O^  0% 


»-<t^»(0CO  Uti00"^^00 

»OOs6st—  '^coOi^'T' 

icococ^t^  -^coor^oo 

:cocot^co  COi-HOOCOCO 

I    OCO»OcD  l-^OOOOOOi 

06060606  0606060606       OsoioOsCi 


Mioco-^eo 
oot^oc^oo 

CO -5"  W  CD  !>• 

St^  ,-t  Tf  r^ 


iCOiOiCOOS  OOOCOCOCO 

rH  ■<**  o  *-i  r-  c^-^r-orp 

1--. -<i<  o -^  CO  oooor^coco 

Q?^«pobo  W-^CDCOO 

^c5^o5co  cocococo-^ 

O^  O)  Oi  03  Ci  O  O)  Ci  o^  c^ 


OOSQCDC^ 
O'Oi— I  iC  OS 

c^co»Cico  r* 


C^©COCOi-t 
«— I  OS  cocs  t^ 

C0»0  OOOi-f 
01  O^  CO  't* 

■rp  uo  lO  »0  »0 

OS  OS  OS  OS  OS 


5^  CO  CO -^o 

C^  CO  CO  CO  CO 

w:)  CO  i^  00  OS 

LC  iC  iC  »-o  uo 

OS  OS  OS  0%  OS 


C4  0SCDCOCN>'^ 

C*  Ocp  C6  OS  CD 

w  *-i  ^  r^  lO  CO 

O  w  ,-.  CS  CO -^t" 
CD  O  CD  CO  CO  CO 

OS  OS  OS  OS  OS  OS 


COOSh*»C        b-OCOCOO 
.b-COCO"^         ,-H^t^-w-C' 

io»-tr^N       OsocpfNC 


■n"i>uOCOiO  t>- iM  ^-t  10  1-H  C^OiO»000  C^-^C^lOO'^  't'^HOOOOCO  co^eoi-t-^  3* -h  00  iC  "r  co 

O^Pt-*CSu5  00W0000»O  OS^-^I^i-i  00t-^OS'*-«P  OOI^OOl'^  ''pQcOCSt--.  OSCCCOCOCDCO 

, 00a»cDC>c5  — tOs'^OOi-t  C^COOIOOO  -^OiOOt  r^oco*rcD  b-OOOOOOt;^  cOiOtCNOOO 

,   ^,  ^  _  ^       co»-<ob*pos      CO  r-^  i-H  ic  00  <-tcocpo6»-H  coor-oso  (N -rj-' ic  r- 00  os.-icJicon"  lOcot-ooos  o^c^ico-^-v 

lOCOiOcO        KoOOOOsOS        OO'-"-!'-'  C^C^5565cO  COCOCOCO-V  '<i4-Tt"'»T'-^'^  -^lOiOuOiO  iOiC»Cu0»O  COCOCDCDCCCO 

06060606      0606060606      osos-ososos  ososososoi 


CO  CO  coco  -v 

OS  OS  OS  OS  OS 


O^OsO^OsOs       OSO-'CSOSOS 


lOcDt-C 

lO  10  »C  1- 

OS  OS  OS  OS  OS 


OS  OS  OS  O.  O".  OS 


OO'-hOsOOS        f-HlOlOOS"^        cp-^OiOsC^ 
^^        iftOOOCOOO 

CO  CO      i^  t^  r^  »o  c 


COt^'I'OCC         •^.-HCOCO'-'         "OOO^ 


t~-CO^HOS  i-lTt*0»^ 

8COCOCOO  OOt^'I'O 

iCcoc^i-*  cociosr-- 

.  ■^  •p  cs  -n"  -r  c^  oC'  -T'  OS       -n*  —  , ,  _  _    .  . 

loco^oco  t^oooooios      oO'-Hr-ti-t      c^CTC^e^co      cocococo'* 

06060606  0606060606       OsOsOSOiOs        OSOsOsOsOs        OsCsOsOsOs        Cs  Os  OS  OS  OS 


ioooc 
_ .  t^  r^i 

CO"^b-OSi-t 


OCOt^l 


OOUON  W-  

"^cot"*coo       1— tr^os 

Si-t  c^  CO  »o  CD  r- 00  OS  o 

OS  OS  OS  OS  OS 


_^__       i-H?5c^cO"^»/t> 

lO^iO^CD        COCDCDCOCDCO 


OSOSOSOSOS        OSOSOSOSO-O: 


coost^ws 

8  0000c  CO 
0>OcD»-i 

I   OCOiOCD 

06060606 


t^OcDCOO 

SKS2S 


-00  00  CiO 

odoioooco 


■«1-  t^  IC  <c  10 
t^  ooib  0»-H 


dC^WC^CO        CC  CC  CO  CO  •<?' 


^  Oi  »C  Oi  CO 

co5:<ot^o3 


•«»•-- 00  00  CO 


ss 


I  ir5  '^  OS 
_  -    t-r-co 

CD  I'-  00  OS  O 


'«r  ^H  covC"^  CD 

*-iOiOOOOOiO 

CD  »C  CO  »-<  OS  t-- 


iCiOO        iC*^'^>OcD       cOCOcDcOcDcD 
OSOsOSOSOS       OSOSOSOSOS        OSOSOS^OS       CSOSOSOsOS        OsO^OSOsOS        OSOsOSOSOS        OSOSOSOsOsOS 


8-«*cocO'-i  oor^-^i-iQO 

lOiOCOiO  kCCOOSUOO 

locooco  t^oooooso 

06060606  060606060s 


CQ^  '«t*cpC^ 
O>C0O-*cD 
^  OS  CO  CD  OS 

OS  OS  oT  cs  ci 


-^00  00  eg  00 

CI  lOb-  oc^ 
C^  (N  wcoco 

OS  OS  OS  OS  OS 


CO  CO  CO  ■^'-1 

Ti  CD  OOOC< 
CO  CO  CO  Tp  "^ 

OS  OS  OS  OS  OS 


ttiOOOSiO*-* 

^CO^i— f  t-H 

00  -n*  OS  -n*  00 

CO  "0  CD  00  OS 


10  CO  »^  cot::; 

»-<  -n"  CD  00  O 
1— '  C»  CO  ■^  CD 

»o  ^  »o  o  10 

OS  OS  OS  OS  OS        OS  OS  OS  OS  OS 


CO  CD  O  00  .-( 

T-H  r-  o  00  -v 

r^  0001  O^^ 
lO  W5  O  CO  CO 

OS  OS  OS  OS  OS 


1-H  OOW^C^i-iCO 
CD  "***  O  CO  CO  O 

ocsooco^  ^ 

C5  M  CO  '^  i--^  CD 
CD  CO  CO  CD  CO  CD 

OS  9  C^  OS  OS  OS 


S5i! 


8QO»— I— 10        CS'-'OQiOC^ 
00OS»«Q        t^cOC^Oi-t 
,LO»OCOCO         OCOO«>-^ 


OCOiO  CD 

06060606 


i:^  ooosc 
060606060s 


CDICOOOCO 
10  OS  CO  CD  O 

OS  OS  OS  OS  OS 


"^00002300 
OS  cs  000s  10 
osr^  CJcoos 

c<ic5c5coco 

OS  OS  O  OS  OS 


osci»oooc< 

O^-lOOOcp 
»Ot^OsO<N 

CO  CO  CO  ^  '^ 

OS  O  OS  OS  OS 


OSOOOlO^ 

cScocooocvi 
Tp  10  r-  ooQ 


i->  OOiCO  o 

osr--i-i  oio 

irti  00  1-H  CO  'S' 

.-I  cs  -^  lOcp 

»0  iC  >Jt  UD  10 


OSOSOSOSOS         OSOSOSOSOS 


?^P25ri      ^OQiocs^co 

JO(»Cp 


iC  ic  lO  CD  O 
OS  OS  OS  OS  OS 


CO  CD  CD  CC  CD  CO 
OS  OS  OS  OS  OS  OS 


xco-^O"^ 

V  CO  CO 'i' CD 
I   OCOOCD 

06060606 


COOMOCSOS 
iO  •^»-i  OOiO 

CO  "T"  O  CDi— t 
t^  00  OS  OS  o 

06  06  06  06  OS 


CScOCS  ^Cft 

•<**  .-c  r^  ,-1  CO 


^-tOS^  -^b- 


sts; 


COcD-^iO-^  CDOO 

gOOi-H  cocs 

1— (  OS  CO  ■^  -    -     .     .    . 

CDOCOr^O  COCDOQ^-* 

o  ^  r-t  »-i  cs  CSCSCSCO 

OsOsOSOsos  OsOSOSOsOs   OS  OS  OS  OS  Os 


CO   iOr*o>'-<co   "^  CD  r- 

CO   CO  CO  CO  t*  ^    '(P  TT -^ 


rH  o^  r-  CO 
CS^  CO  00  00 

r^co  00  Mco 

'.  V.  .^ 

OS  OS  OS  OS  OS 


CO  Ob*  t>-  cs 

CS1-1  -^  cooQ 
Qcoior-oo 

^CO-^»Ccp 

OS  OS  Os  Os  Os 


ilOOOCSOCO  CO  O  t-*  "^  CO  »'5 

00"^^*cp'-*  cocst^oOt-- 

OSOOOQ  OsoOcOiOCOO 

t'-ClOT-HC^  c^co-^^coi^ 

lOiCcOcDcO  cDcDcOcOcD^ 

OS  Os  OSOSOS  OSOSOSOSOS  OS 


5  CO  O         00  t—  -^ 


I  OCOU^cO 

06060606 


»-t  -^  o 

00  t—  'Tp 

10  TpT-H    _       _ 

CO  "T*  1-1  CO  i-" 

r^ooososo 

06  06  06  06  OS 


S   2:n 


00»-<OSOOS 
1— I  t-t  CO  CD  I-* 
"^  CD  CO  t-*CS 
coo  'T  t--  O 

o^^^cs 

OS  OS  OS  OS  Cs 


1— I  »0  10  OS  l-O 

10  00  ■'P  'n'  1-1 

CO  i-O  ^H  W5  00 
CO  CO  OS  1-1  CO 
cs  CSC*  CO  CO 

OS  Os  Os  Os  Os 


CD  -"f  ^OS  cs 


OS  OS  OS  OS  Cs 


CO»Ci  CDCS  00 
■n*  CO  iC  i-<  O 
.-n-csr-—! 

UOCO  OOCSi-4 

■<JH    rp    '^p    -«P  »0 

cs  OS  cs  OS  OS 


OO'OCSCSt^ 


10  »<ti  10  »o  >o 

OS  Os  OS  OS  cs 


ocot-»coo 

i-H  t^  OS  00  CO 

000s  Oi-*  ^ 


■  10  10  CO  b- 


I  OS  t^  » 
.  _  ,  JiO  CO  t 
CO  CD  CO  CO  CD  CO 

Os  OS  Os  Os  Os  Os' 


■*OOOCD        00  »-<  b- ''f  1-t        iO0CCPb»CD 

>iO-pcs      ososujcso      cocsi55r^co 
icsooco      crsoooco-^      osot^i-ico 


[oco^co      r^obososo     0'-''-"'-'Cs 

06060606       060606060s'       OSOSOSOSOS 


OOCSCSCDCS 
TP  r-^  OS  »-«  ^ 

CSCSC<)COCO 


^C0«0^ 
3CSIOOS 
-  COi-t  00 
DOCS  CO 


CO  cs  coos  10 

CD  to  t>-  C^  W 

iC  1-t  CD  ^H  »0 
»0  t—  CC-  O  ^H 


OSOSOSOSOS       OOSOSOsO 


TP  Tp  TP  lC*0 

OS  OS  cs  OS  OS 


1.0  cs  OS  OS  -^ 
CD  to  oor^  cs 
OO*-"  co»o  t^ 
cs  f  i-O  CO  t-- 

O  10  lO  »S  W3 


h-  O-'^^CSiO 
cs  Os^^  OiO 


Os  Os  Os  Os  Os   cs  OS  Os  Os  Os 


iC  cs  OS  CO  wt  l~» 
b-  CD  r-l  -"f  M"  1-t 

r^  CO  10  CO  —K  OS 
CO  t*  lO  CD  r^  r- 

CD  CD  CO  CO  CD  CD 

O  OS  OS  Cs  OS  OS 


"^  Ooo  CO 
CD  CO  IQ  CO 
JiOcDCSl— 

I   OcO"J  =D 

06  06  c^  06 


00»-lt--^P^  »O00«Db-CO        OOCSCSCOCS 

OOCDcOtM  '-PCOCDOO'^        *^        .^     ^     ^ 

•^coO5i>.0Q  CO -^p  t-t  to  r^ 

r^u5T-tr*cs  i^i-«kOoOT-i 

I-OOOSOSO  O— i'-<»-<CS 

o6o6c6o6os  OSOSOSOSOS 


CD  •'P  OS  CO  CD 

^r^oscS-^ 
cscicscoco 

OS  OS  OS  OS  OS 


CO»-ICOCDO 
OOi-iCOCOO 

1^  00  r- to  CO 

CDOOOCS  '^ 
COCO-^  "^  ''P 

OS  Os  OS  OS  OS 


CO  cs  CO  OS  lO 
t^  CO  00  CO  CO 

OS  >0  O  >0  OS 
10  t^  OS  O-H 

Os  OS  OS  Cs  Os 


iOCSOsOS*^         t'-O'^CStO 

1-^cOOsooco       ■         "~ 


-.pcsto  locsoscoior^ 

CO  o  cs  f-H  CD  00  I—  cs  i-o  to  cs 

Csc^cocooi  r-<oosr^iOco 

C5  ^  «5  CD  wj        Os  O  ■— •  cs  CO  ^*  tO  to  CD  I—  00 

lOiOtOiOtO        lOcOCCcDcD  cDcOcDcDCDCD 

OS  OS  OS  OS  OS       OS  OS  O  OS  OS  OS  OS  OS  OS  cs  OS 


COCOCDCO         i-t  O  t^  CO  1— < 


b- CO  .-I  OS 
CO  CO  CD  CO 

80SOCD'-; 
I--  00  to  CO 

I    OCO  to  CD 

06060606 


OO1-1  OS  OOS 


-  coos- 


.-t  Ot-C- 

r-ioc^ooco  t^.-iiooocs 

t'-OOOSOSO  O'-'t-i'-tCS 

q6o6o6o6cs  OSOSOSOSOS 


^  10  to  OS  »o 
00  i-tt-  r-  -n* 

Ooocor^  o 
lor^ocsio 
cscscococo 

Os  OS  Os  OS  OS 


CD  -^  OSOSCS 
00^  COCDi-" 

i-<  cs  •-•  OS  r^ 
r^  OS  .-t  c^  "^ 

CO  CO  ^^  "^  ^ 
OS  OS  OS  OS  OS 


CO  VO  CD  cs  00 
t^  CD  00  S*  CO 
CO  OS  -P  OS  CO 
cor-OsOCS 
"Tj"  "^  -v  to  to 

Os  Os  O  Os  Os 


icst^      ®  S2f 


10  to  io  lO  to 
OS  OS  OS  OS  OS 


to  CD  CD  CO  O 
OS  Cs  cs  OS  OS 


5  00        CCiOCSOSOOO 

<  CO  00  r— CO  10  to  CO 
to  -^  CO  1-t  OS  b* 
•V  to  CD  t—  r^  00 

CD  CO  CD  CD  CD  CD 


OS  OS  OS  O  OS  OS 


COOsb-iO  t^OCOcoO  ^t-*tOcOto 
COtOtOcO  OOCOCO'-'  -PCOCDOOtt' 
' ..  — -^        CSf-4  1-^lOCO        t-HCSOSCOtO 


3CS00CO      cccstoosc 


»_'uuuOcDOO        COcDCS00C_ 

lOCOtOCO      t-ooososo 
06060606      060606060S      OSOsCSCSOs 


CSCSCOCOCO 
OS  OS  OS  OS  o 


cs  O  10  10  00 
COi-<  COCD  O 
to  CD  O  CO  »-i 
I--  OS  i-t  CO  uO 
COCO'*  ■»**  -^ 


OS  OS  Os  Os  Cs 


CSi-iCSOO-^ 
i^  CD  00  CO  CO 
b-CO  OOCOb- 
COOOOS.-fCS 
•^  -^  "^  o  to 

Cs  cs  Os  O  OS 


rpi-»  00  00  CO 
b-  CO  OS  00  CO 
O  CO  to  t^  OS 

10  tO  tO  lO  to 


cooscOFH'tp       -n;  i-<  00 10  *f  CD 


COOSCSr-H    _ 

OO'-i'-HO 

o  — csco-*         . 

CO  CD  CD  CO  CD       CO  O  CD  CO  cD  cD 


D  (N-  O*  10  toes 

OS  00  b-  to  CO  "—I 
Tp  10  CD  1^  CO  OS 


OSOSOSOSOS        OSOSOSOSOS        OSOSOSCSOSC' 


S  oooocboo      dot 


CO  CD  -^  »0  -^ 

CO  cs  >o  ^  S? 


IjOsoso       Or-tt-i' 


06060606       060606&60S       OSO>OSOSCS 


CD  OO-*  O 
cpOCDCD  ^ 

CS«COCO  CO 
OS  cs  OS  OS  OS 


t-^cs»oos 

OS  Osos  h»  -^ 
i-^  OS  T-*eo  10 

CO  cO  "*  ^  ^ 

OS  cs  OS  Os  cs 


^o^t-co  coor-*r>.cs  lOoocsoco 

cotor^cscs  to>oooi--cs  csoor-io^ 

»-t  b- cs  r- »-«  -^t— o&.-<co  -rp -r  10  to -^ 

b-OOOi-tCO  ^tOCDOOOS  O^CSCO-^ 

■^■^lOtOtO  lOtOtOtOtO  COCDCDCOCD 

OS  OS  A^cs  OSOSOSOSOS  OsOsoscsOs 


coOb-M'cows 

CO  M^^  OS  b-  10 

w5cDb-r^  ooos 


CO  CD  CD  CD  CD  CO 
OS  O  OS  cs  A  OS 


O'-^cscO'^      wacor^ooos      O'-^csco-*      tocor^ooos      o^^csco^ 


O^^CSCO^        lOcDt^OOOS         O^^CSCO-*        lOcOr^COOS        O^-fWCO-^lO 
CSCSCSCSCS        CSC^CSCSCS        COCOCOCOCO        COCOCOCOCO        "^ -^ -^ -^  ■<}« -^p 


£*O"»P00CScD        Q-^OQC^CO       O^OOCScO        O  ^  OO  CS  CO 
OOOi-trH        CSCSCSCOCO         -^-^-"i^tiOtO        OOO'-''-' 


O"^  opes  CD 
CSC*CSC0CO 


O-^COCSCD        O^OOCSCO         p-^gpCScO        O-^OOCSCDO 

'^'v-vtoto      OOO*-''-'      ^cscscoco      -^ji  ■^ -^r  40  to  o 


TABLE  V. 

The  Finding  of  the  Azimuth. 


[Page  171 


5S    gSSSS    SSS??S 


o-t<ooo<co 
f  ■»*•  "^  »o  lO 


82a<gOC^<£>        O-^QOO*'^        O'^00N<£'O 


uiot^oooi     o^NfO'^      lOcor^coos      o^c^eo'^      »cor^ooo5     o«-ic«i 
iOiOiOiQiO       (DCOO^DO       cotootoo       t^b-r*t^t--      t^t^r*'    '         


0000000000      oooooooooocB 


os'<*|r^<3iO 


ooS-^f-g*--!      ioo5cio«;c 


_  ■  r-  00  Oi  o> 

CO  CO  o  -^  o 


O^fOcO 

f^  oi  Oi  r^  ^ 


^       t^  CO  t^  c^  c 


O  ^  'O  Oi  CO . 


03  0>  O)  Od  ^       O)  C^  O^  O^  Oi        O)  03  0>  O)  O)        (3>  0>  Oi  Oi  Oi 


t^  i^  t^  1^  r- 

03  0>  03  0>  Od 


CO  ^^»0  "*00 

(N  u5  t-  ex  (N 

CD  CO  O  CO  1"^ 


*  CD  -^  0>       Oi  CD  C 
1  O  t^  5i        O  Oi  c 


5  0>  CD  C^  t--  O  CM  CO 
?  CD  t>- CO  OO  ^  a>  Ci 
boo        00  00  CO  CO  OD  CO 

I-  r- 1^- 1^  t'  t^ 


O)  Oi  Oi  Oi  0> 


O)  0>  O^  0%  91 


CO^HOOiO^^        OO'^QcOfN 

■^iciocor-.      b-oba&CBO 

OCDOCDCO        COCDCOCOt^ 


Oi  Oi  o  03  c^  a  o  o>  Od  o^ 


o  •-<  •   .  _ 
r*  t^  r^  r*  t^ 


lO  t- 1—  »o  c^ 


00  r*  00  CO  --I 


en  O)  OS  Oi  o> 


COOO  ooc^  o 

'J*  oo*-"  coco 

iO  ^  "O  CD  cD 

t-^  t- 1^  t*  t^ 

03  O^  OS  O)  o^ 


I>-  O:  CS  -^  CD 
CO  o  r-t^;^ 

b-  t-  t^  £--  t-» 

03  OS  O)  OS  OS 


8tot— LOO  or^oocD 

OS— *CN-<fCD  t-^OQOSO^ 

I—  OOOOOOCO  CCOOX)OTOS 

t^  (^  w  i^  t-  t^  t^  t^  t^  I'- 


Os  OS  OS  OS  OS       OS  OS  OS  OS  o^ 


OS  osic  osoo  »o 
rf  OtOOOO  ^ 
(N  CO  CO  CO  f  rf 
Os  Cs  OS  OS  OS  Oi 

t^  t^  i>.  t^  t^  r^ 

O  OOs  OS  0>  OS 


OOO"^^  C^t^ONCO  Cfi'^^Q>'ri*  OOsO»CCO  lO  O  Q  "^  CS  cD  "^  00  b- i-H  »-<  f^  OS  h*  N  C^  OS  C*4  W  OO  i-t  »-l  r^  t-H  o  r- 

COOCOCSCD  i-HCO-^C^OO  C^'^'^CSIO  -«t*cp00t^»0  i-(CO^OO  OO^OO-rt^t^  OOt^^OC^OO  C^I-^cOCp^  (NQ0<NCO0QQ0 

oo"5eoosco  coosio>-tcp  csi^cst-i-H  cdothooc^  oosoicoct)  1— i-rr^Oi'-'  coior^cso  o<co*ftocp  b^t-cooooooo 

^u5cOcDtr-  OOOOOSOO  «-t.-i(NMcO  CO'^rt^^rfiO  lOOcDcDCD  t^h-t-^I^OO  OOOOOOOOOS  OSOSOSOiCS  OSOSOSOSOOV 

<^  zo^(£:)iO  cocDcot^t^  t^t^t--i--t^  wt^i^t^t*  r-t— t^t>i—  t-t^t^t^t^  r^t^t--t^t>-  i>-i:^t^i>t>.  t^t^i-t^t^-t^ 

O^OsGSO^OS  O^OsOS  OS  OS  OS  OS  Os  OS  OS  OS  OS  OS  OS  OS  OS  O)  Oi  OS  OS  OS  0>  OS  OS  OS  OS  O)  OS  OS  0>  OS  OS  OS  OS  OS  OS  OS  OS  OS  Cs  OS 


Cs  ^  Os  O  d 


CO  -^  CO  1-t 
t-H  CS  <N  CO  CO         -*  Tt<  Tj<  lO  iC 


t^oooeooo 

OOO  -^  OsiO 


0>-^'<t|  ooo 

I^CS  »C  CO  CO 

CO  CO  CO  t^  l:^ 


t-<t^.-iCO 

CD  OS  1-H  -rt*  CD 
t>-  t^  00  oooo 


-t^t^t^      t^t-^t-t^t^ 


rP'^lNOS'^  OOrH^CSr-H 

<X)OC^C0»O        COOOOSQ^H 
oo  OS  OS  OS  Oi       Os  OS  OS  O  O 


00  "^  OS  csi  tJ"  lo 

.-H  CS  C^  CO  CO  CO 

oooc5oo 

00  00  00  00  00  00 


O^  OS  OS  OS  OS         OS  OS  Os  OS  OS         OS  OS  Os  OS  Os         OS  Os  Os  OS  Os         OS  OS  Os  OS  Os         OS  Os  Os  OS  Os         Os  OS  OS  Os  OS  OS 


Soo-^  o 

r^u5c«os  lo 
lO  or^r^oo 


M  GO  ^  O  CD 
OSOiO-^<-i 

CD  CO  t>.t-I^ 


CO"*COOS"^ 

^  CO  CD  "*  ^ 
^^  O  -H  CDi— I 
C^l  C^  CO  CO  "^ 


O  OSQ  »OCO 

CO  ooo  OS  r^ 
lO  os'^  r^i-H 

■^  -J«  lO  lO  CO 


OS  Os  Os  Os  OS        OS  osososos         OSOSOSOS  Os 


»o  o  o  ■«**  N 


CD  ■<**  QO  t>- T-t 
O  t^  CS  O  OS 

1-H  CO  CD  OOO 
00  00  00  GO  OS 


^^i^^c 


■^fO-^OOC 


— it>-Ost^C4  c<iosc^csc 

O  OS  t^ -rt*  O  -^  CD  OD  00  C 

CO-7<COOOQ  t-H  (N  CO -^  I 

OSOSOiOSO  ooooc 

t^t^i^r-*oo  oooooooooo      oooococccooo 

Cs  Os  OS  Os  OS  OS  OS  Os  Os  Os   OS  OS  OS  OS  OS  OS 


J85 

>ooooo 


gssss 

CO  CD  CD  CD  CD       CO  !>•  t-- t-- t* 


Eroso      o-HcocDi-H      h-tor^NC 


cocor^-ooc 


Os^^< 

•O  -H  CO  O  113 

c5  coco  ■*  -^ 


cs  t-r>.i-4  0s 

CO  C^  lO  t^  CD 

OSCO  CO  C3SM 

CD  t^  t^  t^  00  


CO  -^lO-^  00 
»0  C^l  t>-  i-i  CO 
-5*0 


IlO  OOOCO*  , 
OO  00  OS  OS  OS 


OS^OOO 


GOOOOOOOOO       oooooooooooo 


O  OS  OS  OS  OS   OS  O^  OS  OS  OS 


OsOsOSOsOs   OS  Os  OS  OS  Os 


Os  Os  Os  Oi  O^   Os  Os  Os  OS  OS  Os 


-^^^Z  to-*. 


OO-H-HC^ 


Of-HCOCD^ 
COiOiOCO  O 
OiOOiOO 
CO  CO  'T  ^3*  "O 
t^t— t^t^t- 


^  b*  00  00  CD 

4!ooc^  coo 
iO  "O  CD  CO  r^ 


c*<  fN.  h* ,-(  gs  cO'-*iO'*oo 

(NCOOSi-hO  OSCOr-tlOt^ 

'^t-OTt*!^  os<Nior^gs 

t-- r-- CO  GO  00  ooosososos 


Os  OS  OS  OS  Os        Oi  Os  OS  Os  Os        Os  OS  OS  Os  Os        OS  OS  OS  Os  Os 


QO-^ffO-^Os  OSCOOSOSiO  OOOO'^OO^-'* 

OOOOCDCOOO  CS»OCDcOlO  CS  CO  CO  CD  00  Os 

i-(  CO  uo  b*  OO  O  <— I  CS)  CO 'I*  iO  u5  CO  CD  CO  CO 

OOOOO  T-«  1-H  — «  .— I  1-H  ^H  i-H  1-H  i-H  i-H  r-l 

GOOOOOOOOO  OOOOGOOOOO  OOOOOOOOOOOO 

cs  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  Cs  OS  OS  OS  OS 


lOOSOSCO-^  ^-ICDO>i-«CS 

t^»-te0C0O  »Ot^l:^cDCS 

i>.r^o6o>os  c>.-«^c^6» 

CDCDOCOCO  t^t^t-t^t^ 


I  ^  Tf<  lO 


OS  00  OS"***  cs 

h-0^i-t0> 


-t^t^r*      t^t^r^t^t^ 


^  OS  Os  CO  ^^ 
lO  OSCS  Tj"  -^ 
OO  — I  lO  GC  1-1 

l^OOOOOO  OS 


lOCOt^tOO 

csos-^oo—i 

■^  CD  OS  wl* 

Os  OS  OS  o  o 


OCDOOCD^H  i-H  CO  i-l  1-1  b-  OOCOOOSO 

CSWOCDCS  CDOOOOOQ  cpwSoX^CS 

CO00g5»-ICO  '^LOt^OOOO  OSOO— "•-<<-( 

ooo.-«^H  1-H  ^  1-H  ^  1-H  •-t  CS  c5  cs  CS  cs 

OCOOCOOOOO  GOOOOOOOOO  OOOOOOOOOOOO 


Os  Os  OS  ^  0>   Os  OS  OS  OS  OS   Cs  OS  OS  0>  Os   Cs  OS  Os  OS  Os 


O  OS  OS  OS  OS   cs  OS  Cs  OS  OS   OS  OS  OS  OS  OS  o 


S'Tj'-^coCs 
■^  CD  IOCS 
lO  cs  ^  CD  CO 

i^coooroo 


cDi-t^cDt^ 

r-QOoo-^ 

ScDCS  I>.CO 
1-HC 


iN-i>t^t--r- 


I*- OOO  CO  00 

QQO<-Hasio 

CC-^CSCOOQ 


O  CO  ^co  ^^ 

St^i-H  lO  OS 


Osrf-*OOCD         OQOCSwiO        »0  ^  CO  w  O 


SiOi-tlO  ^T-4 


OOOOOOCSOs        OsOOC 


t^  00  00  00  00 


cs  OS  OS  ^  OS       o  OS  ^  OS  od       OS  OS  OS  OS  cs       cs  CS  OS  OS  OS 


'^-fCSCS'*  d5i-icsc5-^  00"^OSCS>,-_ 

O  cs  ■^  lO  t>-  00  O  1-H  cs  CO  CO  M<  "^  lO  to  lO 

^^^^^  T-HCSC^CSCS  CSCS«CSCSCS 

OOOOGOOOOO  0O0CX)00OO  OOOOOOOOOOOO 

O^  Os  OS  Cs  Cs  Cs  cs  O  Os  OS  OS  OS  OS  Cs  OS  OS 


t^i-Hi-*  lOcO 

-H  cDoo  r--^ 
OS  ^  CO  o  f-* 
r^oooso  o 

COCOCO  b*  t^ 
O  OS  OS  OS  OS 


COOO'-'CO'^ 


-HCSC^COCO 


■^  lO  t^O  lO 

o  CS  cs  1-H  t^ 
)  cocoes 


3i-(i-HiOfO        tN.iOOS00CS 

_S'*^r^ooco      cDcoooc^'O 

COOCOCOOs        C»»Oi>.OCS 


^lOuocD      cor^r^r>.oo      oooscsdsos      ooo^^i-t      ,-h^i-h^cs 


)0>CO 

.     _  __        ___.r>.oo 

r^t^t^i^t^      r-t^i--t— t^      t*  t-"  !>•  t- t-"      i->- 1^  t^  r- 1-      oooooooooo 


3000CO  COOCOCOCS  cs  cs  OO  cs  r-^  00 
_  S-^OCO  OCOTHTt^CS  C^  zn  C^  ^^  a-i  CC-. 
rJ<cDOOQ»-t        COt^uOC 


co-^iOcDr--      oooOoic 
,.-.      cscscs^cs      cscscsd 

oooooooooo        OOOOOOOOOO        OOOOOOOOOOOO 


Cs  Cs  Cs  cs  OS 


Cs  Cs  OS  OS  OS        cs  OS  OS  OS  Cs        Cs  CS  OS  OS  OS        OS  OS  CS  OS  OS        OS  OS  CS  OS  OS  Cs 


t^,-(-^»0  0        COOOi-tCO'*'         Tt«iOt>-OiO 


-csoo»o 
3*CSC)-H 

5cD<Ot^t- 


OCSCO<-"t^         ^HCOC,,._, 
00-^OcO^        t^CSt-CScO 


•  t-^-t^t-     t--t^t--t 


Os  OS  OS  o>  Cs       OS  cs  OS  OS  Os        OS  OS  OS  OS  OS 


»-tO^CO"* 

»-|iOOSCOt 

"     "     "  -ooc. 


O  »w  1-H  lO  CO 
O  »0  000  cs 


■!*' »o  »o  CD  CO      t— b^r>.oooo      OS  cs  cs  c 


r-  t^t^ooco 

Os  Cs  OS  Os  Os 


I^iOCSOOCS 

t^-^OSCO  O 

OOOOOOOOOO 
Cs  OS  Cs  OS  Cs 


CSOOOOOCO  COOCOCOOS  CSCSOON^CO 

I^COiOi-Ht^  ^-^UtiiOCO  i-Ht^^iOl^t^ 

ooocs-^io  t>-oooso^  cscscocococo 

^cscscscs  cscs^coeo  eococococ»co 

oooooooooo  oooooooooo  OOOOOOOOOOOO 

Os  Os  cs  OS  Cs  Cs  Os  Cs  C7s  OS  OS  OS  OS  OS  OS  Cs 


-S^-c 


o-^-^coc:  CD— <Tpcor--  t^-ooocooo  '■^eo 

COt^dsoOtO  QCOCOi-ir-  ^ncO-fCSCO  COCDt^cD'^ 

t^'3«i-HQ0"O  C^OO'^O'O  i-HCP'-<COO  lOCSCOt^i-H 

CCOSOO'-H  CSCSCO-^rt*  lO  iO  CD  CD  t~^  t-- r^  00  CO  OS 

cocor^r^t'-  ^-^-t*^*^*  i>-i-*r>-r»t^  t--.t>.t'-i>i>- 


'^Ot-'        OS '■*<'<**  OO  CD       OOOCS-HiO 


csosososos       osososcsos      ososcscsos      cs  OS  OS  OS  OS 


r^ooooos      oscso 


_       .      . ,  CO^HCO  OCOCOCDCS  lOiOi-fuO-^-H 

o»oooosas  opt^o-^co  r-t>-»ocsr^  r~t  -rf*  io  lo  -^  «-Ht^csiot-.oo 

lOOOi-H-^t-  OCOCDOOQ  CS-^cDOOOs  .-t  CS  CO -f  lO  O  cD  t^  t^  t^  r- 

OO  ^H  i-<  1-H  1-H  o5  CSCSCSCSCS  cococococo  cocococococo 

OOCO  OOOOOOOOOO  oooooooooo  OOOOOOOOOO  OOOOOOOOOOOO 

OS  OS  CSOSOSOSOS  OS  Cs  OS  ^  OS  OS  OS  OS  OS  OS  OS  cs  OS  OS  OS  OS 


CDOQ-*  lO 
Oil  b-  OS  OO  u-r> 

»-HQOiO 

OSOSO 
COcDt^t^t^ 

Os  cs  OS  Cs  Os 


CSt^OCSCO        CO'^CDOS'** 

OCS  CO  »-<  t^  


-  ,  .  _  COCSOO  -^  Ci 

O  1-H  1-H  cs  CO  CO  Tf  Tt< 


Ci  cs  Cs  OS  cs         OS  Os  OS  OS  OS 


O  OSO  »oco 

CO  »0  t^  CD  -^ 
cs  CO  t^«-<  »0 
t—  00  00  OS  OS 

cs  OS  Os  OS  Cs 


CD  ''fOOt^-H 
t^  -^t  OS  CO  CO 

'f  r-cscs  -^ 


i-Hh*c>r*cs  cscscscsoo 

t^  CD  -J<  i-t  (^  1-H  CO  'O  lO  CO 

COCOOCSCO  iOCDl^COCS 

cscscococo  cococococo 

oooooooooo  oooooooooo 

osososcsos         csosososos         csosososos  OS  Cs  OS  OS  OS 


lOOO-^CS 
O  tOGO  CS04 
CSCSiooO  i-H 
C3sOOO.-t 
Ir^  00  00  00  OO 


,-H^t^^or^ 
1-H  r-  1-H  lo  i^  t^ 

OOOOOOOOOOOO 
cs  OS  Cs  OS  OS  OS 


osooos'*  cs 

i-H  rt"  lO  O  CO 

St^-H  lo  d 
00  OS  OS  OS 


lO  CO  t^  CD  O 

o  CO  00  cs  »o 

OO  ^CO  COGO 
*-tCSCSCSCS 
OOOOOOOOOO 


OSOsOsOSOs       OSOSOSCSOS       OSCSCSOSOS       OSOSOSCSOS 


OS  OS  OS  OS  Cs  OS 


locoh-oocs      o^csco 


O^HCSCO-^        lOcp 
lO^^U^iO       to  iO 


:S3§2S     8 


h»ooos      o^^csM-^      lOcoh-ooos      o-^cseo-*      lOcor-^ooos      o^hcsco;^      lOcor^ooos 


lO  iO  lO   CD  CD  CO  CO  CD   CD  CD  CD  CD  CO 


-*OOCSCO        OfOOCS 

cscscoco      -^ -^  ■^ lO 


g    S3S22 


CSC^(NcOCO 


N  -JS       O  -»>  00  N  !0 


-t^t^r^     oooooooooo      oooooooooo 


g 


o-^otc 
?5cscsc 


O  -^  00  cs  CPQ 
^  -4*  1^  i0»00 


Page  172] 


TABLE  V. 

The  Finding  of  the  Azimuth. 


w5 


S  o  -i>  00  e^  -^ 


g'S'OONCD 
OO-H-l 


)MC4C0CO 


o-^oocqo      o-j-ooNo      Q-*ooc^to      oi>ooe<>co< 


52S    § 


OfHCsec^      «3cDt^Q0Oi      o.-HNe^'f      W5cot'-ooa>      Oi-<c^eO"»f      lP^t"9PS      o*-'Nco 


C^C«04C*C^       CSC^C^WC*       cococococo       cococococo 


jot^oooi     o  ^^  c^  eo  ■<*•  lo 


iC-HOit^        OiC^OOt 


-^o  oir^coi^ 


OiOiOO^ 


Of  OOt^  i-H  rr  O  Oi 


QOOOOiOiOi 


8  Meet:  CO 
^  oor- 

.-H  OO  'T  CO  O 

co»coooco 
O)  o>  o>  o>  o> 


C^(MC^  coco 
0>  O)  0>  O)  G3 


O  CT>  1-1  t^  CD 


SCOOOiO  OOi-iiOCOcO 
JOiCOC^CD  COCOiO-^CTi 
.  05  CS  -^  IQ         CO  I"-  I"-  1-^  CO 


2S 


coooco>o 


OiOiOiOiOi        OiOiOi  aOi 


•  coco 

*.-<  TO  -^  lO  lO  CO 
»0  lO  lO  O  lO  ^ 
O)  O)  O)  O  Od  o^ 


r^co*-<  o> 

V  coo  rr*  CO 

r>^  00  CO  00 


lO  TT  •-«  t'-  WJ 

SCO  or*  CO 
■n"  I-"  CO  ■— I 
O  I^  00  00  c» 

0600060606 


OiOOO<-> 
00  G3  O  O)  O) 


1— I  U51O  <3i»^ 

C^lCilHr-JCO 

r-.-^  o-^  CO 

Oi  O)  0>  O)  O) 


co-Tf  as  iff-c 

ooooi^  coc 
trj  i^  05 1— I  c 
c5cs 


ICJC^OOCO 

0>  CS  0>  O  O) 


0»0  cp  W  00 

1— I  oc^oo^- 
ira  O  00  C5  O 
CO  CO  CO  CO '^ 

O)  O^  O  0  Oi 


C^  CO  -^  CO  t-- 

O  O)  C3  O  O 


cioa>o«-HC^ 

Tj<  -^  iO  W3  1/5 

0%  O  OS  o  o^ 


oo»oc^giooo 

CS  »-«  Oit>-  U5  CO 


00-^  (NO 

800000 
(N  CO  01  CO 
.  t-  ^-  -r  r— 
I  ocs-^io 

l>^  06  06  06 


C^iC— 'OOiO 

IQ  Tt<  1-H  t^  10 

<©  OICO  CO  -^ 

r^  rr  --H  t^  cq 

Ot^  00  00  OS 

0606060606 


OiC^Oi-H  Q 
00  CO  ^H  CO  03 
OSOCOC^CO 

01000^ 


00  OS  O)  OS  OS 


C«coco0!:0 
eqwj  »-<  ojoo 

CO  oco  ocs 

■^  t^  OiC^  -^ 
OS  OS  OS  OS  OS 


»--  10  O  O  CO 


cocoO(Nco      *or--ooO'-< 


f  -r  coiM 

coco  0(N  -  , 
C^  CM  CO  CO  CO 
OS  OS  OS  OS  OS 


co(Nr-' 
ut.  r--  r-  ■ 
coco  < 

O  OS  OS  OS  ^ 


oscocococo       »-t*^00OO 
Tjt  -^  »0  lO  to 


^H  O-fCO  t 
OIC^  Tf  CD  t^ 

CI  TT  io  CO  r- 


OSCO  CO  QOS-H 

00  r^  fcO  ■n'  "-H  OS 
CO  "^  10  CO  r^  r^ 

kO  to  IQ  to  «0  lO 


^  OS  OS  OS  OS    OS  OS  OS  OS  OS    OS  O)  OS  OS  OS  OS 


t^  CO  -^  OS   .-I  '^  O  t^  ' 


r-»oc^r^  CO 

CO  r-  CO  00  OS 


00  --<  OS  001 


)  CO  -^   t^  r^  OS  <M  t 


0000000000       OOOSOSOIOS 


-rj*  t^  OC^  -r" 
OS  OS  OS  OS  OS 


CD****  OsOSW 
1-H  •»*'  CO  OS  ■^ 
O  O  OS  t-^  10 
t—  OS  oc^  -n" 
C^l  cs  cococo 

OS  OS  OS  OS  OS 


COt^  OSOW 
coco  CO'^  Tti 

OS  OS  OS  OS  OS 


ootoMCir-  oeor^iooo 

OOlCOCflcO  t^COtO'VOS 

lOt^OC^^CO  -^  »0  »0  to  rr 

C0"^COr-QO  050'-H<NCO 

■^    -^   "*J1   Ttt    T}«  -^   10  to   to  10 

OS  OS  OS  OS  OS  OS  OS  OS  OS  OS 


1-H  C5  to  CO  06  CO 

M<  CO  r^  <^r*  j5 


OOtQCfl  osc 
1-H  O:ococ 
M<  CO  "-l  ost 
■^  lO  CO  cot 


10  to  to  to  to  to 

OS  OS  OS  OS  OS  Oi 


OS  C^  00  10  c^ 

OOCOCJOCCO 
CO  t^  CO  000s 

0606060606 


CO  OS  r^  00  r* 


OS  CO  CO  ^- CO 
CO  M  00  00  to 
-^  Cq  I -;  ^  -^ 

to  CO  oco  to 

r-l  .-H  W  C<»  C5 


■^i^C^t^h-O 
asc^TH  t-c^ 

to  CO  to  CO  t-H 
r*  OS  rH  CO  to 

m6jcocoo5 


00  OS  OS  OS  OS 


OS  OS  OS  OS  OS         OS  OS  OS  OS  OS 


CDCOOOtO  OO^-itOCOcO 

oor^^^o-v  -^f-icocsr* 

OCOCOOOO>  O-Hi-t^-HO 

rfiOCOr-OO  0*->C^COTt< 

■■^■^■Tf'-f"^  tOtOtOtO^O 

OS  O)  OS  OS  CS  OS  OS  a  OS  OS 


«OCO  ot^coco 

OS  00 -V  CD  CO  CO 

OS  00  r^  to  CO  <-< 
-ji  io  cor^  coos 
lO  to  to  to  to  to 

OS  OS  OS  OS  OS  Oi 


SOSOCO^ 
.    00  OS  CO  OS 

I  oawrto 


CO  OS  to  C^  OS 
00  t^  ^T*  i-<  00 
I'-  CD  CO  1-1  i-< 
00  CD  CO  OS  -^ 

ot^  00000s 
0606060606 


CO  CO  M' 10  ■*** 

Cvq^Tl«COC^ 

t^OOto  OS--« 
OOC^OOSCO 
OSOOO— 4 


CO  00-^  o 

CO  00 -H  CO  CO 


CO  OS  OS  OS  OS        OS  OS  OS  OS  OS 


^^  OS  ^  ^  t^ 

CO  OOi-H  -n*  00 
i-<  — t  ^  OS  CO 

cooe^coto 

(N  CO  CO  CO  CO 
OS  OS  OS  OS  OS 


t-(  o^t^co 

iQ  -^  CO— <  i-< 

CO  OS  "g*  OS  CO 
t-^CO  0—<CO 


coot^b-ci  ioooe»»oco 

iO  ■*!' t^  CD  »-H  1— <  t>»  O  OS  -^ 

CO  OS  •-(  CO  10  CO  :d  r^  CO  CO 

'^tor^cocS  o»-«c^co'3' 

•^ -v  ■^  "^  ^f  to  to  to  to  to 


s  Ot^-^  CO  to 
5  to  Oco  coo 
>-^#o^H  os^- 
>cp^-  0000  OS 


OS  OS  OS  OS  O^    OS  OS  OS  OS  OS   OS  OS  OS  OS  o^ 


Sgstoco  <-H 
Os  Os  0>t^ 
TJ*  tO—l  O 
.    OSOTt^  OS 

os(MTrto 


cocodosco 

-n^cOOCD-^ 

cocq  oscot^ 
St^oOooos 

0606060606 


00  t--  o  c^i  00 

C<ICO  --IIOCO 

osco  t^  oco 

OSOO»-t»-( 


CO  OS  OS  OS  OS 


1-1  'Tj*  O --t  t^ 
CDCO  'TSCOtO 

CO  OSfH  -rr  CD 

THl-tC^(NC^ 

Os  OS  Os  Os  Os 


00  h- 00 -^  O        Ot— 'iJ^'^OS 


t^t^CDiO  C<l 

OOOC^-^  CO 

csjcoco  coco 


c^ioosr-  0 
r^  coio  'V  o 

1-ICfl  CO'^  to 

10  to  to  to  to 


CO  t—  r—  00  OS  o 

10  to  to  to  to  CO 


OS  OS  OS  OS  OS         OS  OS  OS  OS  OS         OS  OS  OS  OS  OS         OS  OS  OS  OS  OS         OS  OS  OS  OS  OS  OS 


PI 


to  1— I  OSt^ 

'  Qor-cD 

oco  "^  CO 

06060606 


OS  C^  00  to  c^ 

0000  Tp  »-H  OS 
001^  rj'  CS  5i 

i:5t^:3;oto 

CO  I^  00  CS  OS 

0606060606 


CD  OS  r^  00 1— 

(M*-!  T"  Cp(M 

00  osco  ocq 

00  OS  OS  OS  OS 


Os  CO  CO  t^  CO 


Os  OS  Os  OS  OS 


'^eqr^i^  o 


'^  CO"*  oco 

»0  -^  CD  C*^  1— < 
■V  O  to  O  f 
00  Or-l  CO  '^ 


to  "^  cot--  r 

t^  OC^rP  t 

to  t^ooos< 


oc-Htoeoco 

«-t  00  O  OSTT 

r-  r^  00 1-^  r^ 


OS  OS  OS  OS  OS         OS  OS  OS  OS  OS         OS  OS  OS  OS  OS 


10  to  to  to  to 

OS  OS  OS  OS  OS 


CD  to  'WCfl  O^ 
CO  t^OO  OS  O  o 
10  to  lO  to  CO  CO 

OS  OS  OS  OS  OS  OS 


i-<t>- to  CO 

8oot^  t^  to 
»o  cocs  r^ 
.  00000 

I  oco '^r  CO 


tQco-<fi-<oo  cmoeoTj«co 

<N  i-<  00  to  <N  CO  to  00  O  CO 

■^coosi^oo  co'^i-icor— 

oootroto  03>qo»-<'>3* 

t^t-»00C?SOS  OOO^Ht-( 

0606060606  OSOSOJOSOS 


01  5*  00  OS  to 
CD  ■3'  OSCO  CO 

t^oc^tot^ 


OS  OS  Od  OS  OS 


OSi-<  COtO  t^ 
W  CO  CO  CO  CO 

OS  OS  OS  OS  OS 


SOSOcOW 
t^  O  to  to 
OS  to  •— t  to  OS 
OOOfNCO^ 


W  OS  CO  CD —I 

OS r-  — I  Oto 
^J«  -V  •*  lO  to 


OS  Os  OS  Os  OS   OS  OS  Os  Os  Os 


tO«-<"*  ^  00 

c^  CO  coco  c* 

CSCO  n*  to  CO 
10  to  to  to  to 
Od  OS  Os  Os  OS 


C^^  OS  cocoes  ■»}' 


10  to  to  to  CO  CO 


OS  OS  OS  OS  OS  OS 


oo^c^o 
«  00000 

I   OCO"*  CD 

00  00  00  00 


W  to  •-<  CO  to 

000  1— I  CO 
t^  t>»  00  OS  Os 

0606060606 


cscs  o-^  o 

00  00  ■-<  CO  OS 


OS  OS  Os  Os  OS 


C^COCOOCD 
C^tOi-i^CO 
M  OTtO  OSi-H 
COOCOtf?  00 

OS  O  OS  OS  o> 


CO  CO  CO  CO  CO 
Os  OS  OS  OS  OS 


r^  CO  t^  CO  OS 
1-1  o<No6r- 

tO  ^CDO-* 
OS— (CS"*tO 


OS  CD  CO  CO  00 
— •O"*C0t-- 

S1— 1  CO  to  CO 
OOOSO—t 

■^  ■*  ^  to  to 


OS  CO  CO  00s  ^H 


•-<  -^  000  OS 

OOfCDtoO  tM— II—  (j^r- 

t^  CO  00  00  00  t- CD  ■*  CO  O  00 

<NCO"*tOCD  t-^OOOSO—"^ 

lOiOtOtOtO  iOtotocOcOcD 


OS  OS  OS  OS  OS    OS  OS  OS  OS  OS    OS  OS  OS  OS  OS  OS 


C^  W-<  OS 

8CO  t-co^- 
— ( 1-1  OS— I 

I   OCO"*  CD 

06060606 


OsC^OOtOC^        CDOst-OOt-- 
OCD<NOSt--         O0S'M'*O 


— <togsc^io      co^-*cooo 

O  O  O  — <  — •        -■"  —  --  — 


0000000000        OSOSOSOSOS 


OS  CO  cot- CO 
cot— COCO  o 

t—  *f  o  ■*  t^ 
CO  ^  -^cooo 
— "(NC^CMCS 

OS  OS  OS  Os  Os 


^Cflt-t-  o 

"*t— OSC^t- 


CO  CO  CO  CO  C 


"*  CO  **  oco 

Oco— tSos 
O^  CO"<J»  to 


CDCOOOW5  00— ftOCOCO 

COC^IOtOOS  OSCDOOt-CS 

cocoooo— •  cococococo 

t— CO  OS —I  CO  CO  ^J*  to  CO  r- 

^  ■*  "*  to  to  »ototototo 


OS  OS  OS  OS  OS    OS  OS  OS  OS  OS    OS  OS  OS  OS  OS    A  OS  OS  OS  OS 


CD  CO  or-  CD  00 
^'  CO  OS  1—4  ?-H  00 
C^  — (  OS  00  CD  CO 
CO  OS  OSQ— 'C* 
kO  to  to  CDOCO 

OS  OS  OS  OS  OS  OS 


CO  00  CD  TT 
CO  CI  CO  o 

Jcoc^osc^ 


00000000        0000000000 


CD  OO"*  O 

"*  CO  *7«  "*  — I 
C4  OS  to  OS  CO 

OS— '  "*  CO  OS 

— <coc*c*c^ 

Os  Os  Os^  Os 


— <  OS-*  ■*  t— 
to  t-  oco  t— 

CO  CO  CO  ^  00 

—I  CO  to  t-  CO 
CO  CO  CO  CO  CO 


^O-Ht-CO 
f  COtQ  o  o 
10  —<  CO  —I  to 
OC^  CO  to  CD 


COOt-t^CO        tOQOC^OCO 


OCD  OS  C,      _ 
00000006  00 

CO-*  to  CD  t- 

■*totOtO       to  to  to  to  to 


1  CO  CO  to  O 

00 —I  CO  to  r- 
-     -)  O  ^  " 


OS  OS  OS  OS  OS 


OSOdOSAOS        OS  OS  OS  O  Os 


CO  Ot—  ij<  CO  to 
to  ■*  OSC4C0  OS 

t—  CD  •*  CO  — <  00 

OOOSO— (C4C0 

to  to  CO  CD  coco 

^  OS  OS  OS  OS  OS 


—It— toco,      to  00-* —100 


OCOtOX!        t— OOOOOSOS 


CO  to  CO  "*  CO 

— 4  COCOiQ  ^ 


00000000         00X000000 


00^— <^ 

Os  Os  Os  OS  OS 


to  OS  OSCO  OS 
■CO"rT<  O 

- 1  o  -*  »— 
OsC^i-  - 


rr  t-  CO  ■ 

»^oiciciS 

OS  Os  Os  Os  OS 


000  CO  CO  CO 

tj-*  1-0  cot' 

DOOCOCO 


oO  CO  00  CO  CO 

—I  CO  "5 1—  OS 

CO  CO  CO  CO  CO 


O  OS  O  CD  CI 


OSOSOSOSOS       OS  OS  OS  OS  OS       OS  ^  9  OS  OS 


-  —I  OSCO 
_    J)  01  r—  CO 

•*  »o  S  t-  oc 
10  *o  to  to  to 

OS  OS  OS  OS  Os 


C^  OS  CD  COCi  ■* 

Ocooir— CO       tocooscocooi 

CO-nHCiOOCOCO 

OsOQi-^C^CO 


OS  OS  OS  OS  OS  OS 


oco  •*  CI 
CO—i^Os 
)  1-H  CO  CO  CO 
S  COCOOCO 
Oco  to  CO 

06060606 


■*  t—  CO  o  t- 

cO  to  CI  OS  CO 

t^  00  00  OS  OS 


— I'rJ'COCOCO 
OCT»C0-*O 
OOst-— "CO 

d^O'*' t— 
O  O  — «  — <  — t 


■*  00  00  0»  CO        OS  t-  c 
CO  CO  CO  CO  OS       ^  o  c 


W*  CO  00  OS 
CO  CO  CO  CO  CO 


0000000000        OSOSOSOSOS        OSOSOSOSOS       OSOSOSOSOS 


5  OS  OS 


OS  CO  OS  to  » 

d  — 1  c 

to  — •  c_  _  . 
—4  CO*  c5t- 

OS  OS  OS  OS  o> 


— iOO*OtOO  COOOCC— 4  — (COiOC^— ICO 

CO  — ( to  "*  OS  OS  10  00  CO  CO  •*  CO  00 —I  — <  00 

00— (COtOCO  t— OOOOCOOO  t— CP-*C0— 100 

000— iCqcO  "*tOCDt— 00  OSO— IC3COCO 

■*?' lO  to  »0  to  to  to  *0  to  to  loiwCDcDcDcD 

OS  OS  ^  OS  OS  OSOSOSOSOS  OS  OS  A  OS  OS  OS 


9* 


Of-IC^lM-n'        »O5Dt^00Oi        O^C^M-- 


)2;ociMo      o-weodco      ottoocn 


ir3«ot^00O5      o-^N«'*      1P;S~2S 


NNwe^cq      M«c<>c^c>i      cococococo 


s  «D  i^  00  o>      O^HC^eo-^iO 


_, _^ ^^OOWO        O-'J'OOWO        O-^OOCSO        O-^00.C<lcD        O'S'OOC^CO        O-^OOC^COO 

e«e*C«coco      ■<r'^T'0>o      000-H.-1      nnc^coco      -^t-^ttioio      ooo^-h      ojs<ie-jcoco      ■v>r'>r<oirao 


TABLE  V. 

The  Finding  of  the  Azimuth. 

[Page  173 

Hour 
Angle. 

S8SS22 

o-a-ooMco 

CSNCMCOCO 

O  "*QOCM  CO 

Soo22 

O"*  OOCM  CO 
CM  CM  CM  CO  CO 

O"*  00  CM  CO 

"*■*"-?•  to  t75 

8SSS2S 

O-^OOC^  CO 

S5^gS8 

CO 

o    Ti< -Qi -«  rr -f 

toco  t^  00  OS 

to  »o  to  to  to 

CO  CO  CO  CO  CO 

toco  t^  00  OS 

CO  CO  CD  CO  CO 

SKSSJt 

»o  COt^OOCS 

Soooooo  S 

06000088SS 

§ 

C 

o 
a> 

So 

9.66758 
9.67502 
9.58222 
9.68916 
9.59587 

9.60234 
9.60859 
9.61462 
9. 62044 
9.62605 

9.63145 
9.63666 
9.64168 
9.64651 
9.65118 

9.  65562 
9. G5991 
9. 66402 
9. 66797 
9.67175 

9.87537 
9. 67882 
9. 68212 
9.68526 
9.88824 

,9.69108 
9.69376 
9. 69630 
9.69869 
9.70093 

9. 70303 
9. 70499 
9.70681 
9. 70849 
9. 71004 

9.71144 
9. 71271 
9. 71384 
9. 71484 
9.  71570 

9.71643 
9.71703 
9.71749 
9.71783 
9. 71802 
9.71809 

1 
00 

57370 
58114 
58834 
59528 
60199 

60846 
61471 
62074 
62656 
63217 

83757 
84278 
64780 
65263 
65728 

66174 
66603 
87014 
67409 
67787 

68149 
68494 
68824 
69138 
69436 

69720 
69988 
70242 
70481 
70705 

70915 
71111 
71293 
71461 
71618 

71756 

71883 
71996 
72096 
72182 

72255 
72315 
72361 
72395 
72414 
72421 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OiCROCnOi 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

osososososos      1 

05 
•0 

57971 
58715 
59436 
60129 
60800 

61447 
62072 
62675 
63257 
63818 

64358 
64879 
65381 
65864 
66329 

66775 
67204 
67615 
68010 
68388 

68750 
69095 
69425 
69739 
70037 

70321 
70589 
70843 
71082 
71308 

71516 
71712 
71894 
72062 
72217 

72357 
72484 
72597 
72697 
72783 

72856 
72916 
72982 
72996 
73015 
73022 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  <3i  OS 

OS  OS  OS  Os  Os 

OS  OS  OS  OS  OS 

OSOSOSOSOSOS       1 

b 

o 

^• 

"5 

58560 
59304 
60024 
60718 
81389 

62036 
62861 
83264 
63846 
64407 

64947 
66468 
66970 
66463 
66918 

67364 
67793 
68204 
68699 
68977 

69339 
69884 
70014 
70328 
70626 

70910 
71178 
71432 
71671 
71895 

72105 
72301 
72483 
72651 
72806 

72946 
73073 
73186 
73286 
73372 

73445 
73505 
73551 
73585 
73604 
73811 

o>o.oo» 

OS  OS  OS  OS  OS 

OS  OS  O  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OstOs  Os  Os  OS 

OS  OS  Os  Os  Os 

OS  OS  C3S  O*.!  Os 

OSOSOSOSOSOS         1 

O 
CO 

>0 

59138 
59882 
60602 
61298 
61967 

62614 
83239 
63842 
64424 
64985 

65525 
68046 
66548 
67031 
87496 

67942 
68371 
68782 
69177 
69555 

69917 
70262 
70592 
70906 
71204 

71488 
71756 
72010 
72249 
72473 

72683 
72879 
73061 
73229 
73384 

73524 
73851 
73764 
73864 
73950 

74023 
74083 
74129 
74163 
74182 
74189 

OOJOiCRO 

OS  OS  ^  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  ^ 

OS  OS  OS  OS  OS 

Os  Os  OS  OS  OS 

OS  OS  OS  OS  OS 

Os  OS  OS  Os  OS 

OSOSOSOSOSOS       1 

59705 
60449 
61189 
61863 
62534 

63181 
63806 
64409 
64991 
65552 

68092 
68613 
67115 
87698 
68063 

68509 
68938 
69349 
69744 
70122 

70484 
70829 
71159 
71473 
71771 

72065 
72323 
72577 
72816 
73040 

73250 
73446 
73628 
73796 
73951 

74091 
74218 
74331 
74431 
74517 

74590 
74650 
74698 
74730 
74749 
74756 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

Oj  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  Os  OS  OS  Os 

OS  OS  OS  OS  OS 

OSOSOSOSOSOS         1 

b 

M 
»0 

60262 
61006 
61726 
82420 
63091 

63738 
64363 
64966 
65548 
66109 

66649 
67170 
67672 
68156 
68620 

69066 
69495 
69908 
70301 
70679 

71041 
71386 
71716 
72030 
72328 

72812 
72880 
73134 
73373 
73697 

73807 
74003 
74185 
74363 
74508 

74648 
74775 
74888 
74988 
76074 

75147 
75207 
75253 
75287 
75308 
75313 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

Os  OS  OS  Os  OS 

OS  Os  Os  Os  Os 

OS  OS  OS  OS  OS 

OS  Os  OS  OS  OS  Os       1 

b 

o 

lb 

60808 
61552 
62272 
62966 
63637 

64284 
64909 
65512 
66094 
66655 

67195 
67716 
68218 
68701 
89166 

69612 
70041 
70452 
70847 
71226 

71587 
71932 
72262 

72676 
72874 

73158 
73426 
73680 
73919 
74143 

74363 
74549 
74731 
74899 
75054 

75194 
75321 
76434 
75534 
75620 

75693 
75753 
75799 
75833 
75862 
75859 

OS  OS  OS  CS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

Os  OS  Os  Os  OS 

(SOioioao 

OS  ^  A  Os  OS 

Os  ^  Os  Os  OS  OS       1 

>0 

61344 
62088 
62808 
83502 
64173 

64820 
65446 
66048 
66630 
67191 

67731 
68252 
68754 
69237 
69702 

70148 
70677 
70988 
71383 
71761 

72123 
72468 
72798 
73112 
73410 

73694 
73962 
74216 
74455 
74879 

74889 
76085 
76267 
75435 
76590 

75730 
75857 
75970 
76070 
76156 

76229 

76289 
76335 
76369 
76388 
76395 

OS  ^  OS  OS  OS 

^  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

O  OS  OS  OS  OS 

OS  ^  OS  OS  OS 

Os  OS  Os  OS  Os 

Cs  OS  OS  OS  OS 

O^  OS  OS  OS  OS 

OJ  OJ  O)  0-.  0  C-.      1 

15 

61871 
62815 
63335 
64029 
64700 

85347 
65972 
66575 
67167 
67718 

68258 
68779 
69281 
69764 
70229 

70675 
71104 
71615 
71910 

72288 

72650 
72996 
73325 
73639 
73937 

74221 
74489 
74743 
74982 
75206 

75418 
75612 
76794 
76962 
78117 

76257 
76384 
76497 
78697 
76683 

78768 
67818 
76862 
76896 
76915 
76922 

Cl  OS  m  Ol  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  Os  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

Os  O  OS  Os  Os 

OS  OS  OS  OS  Os 

OS  OS  Os  OS  OS  Os        1 

>0 

62388 
63132 
63852 
64546 
05217 

65864 
66489 
67092 
67674 
68235 

68775 
89296 
69798 
70281 
70746 

71192 
71621 
72032 
72427 
72805 

73187 
73612 
73842 
74166 
74454 

74738 
75008 
75260 
76499 
75723 

75933 
78129 
76311 
76479 
76634 

76774 
76901 
77014 
77114 
77200 

77273 
77333 
77379 
77413 
77432 
77439 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

Os  OS  Os  OS  OS 

OS  OS  Os  OS  OS 

OS  OS  O  Os  Os 

...... 

b 

o 

10 

62895 
63639 
64359 
65063 
66724 

66371 
68996 
67699 
68181 
68742 

69282 
69803 
70305 
70788 
71263 

71699 
72128 
72539 
72934 
73312 

73674 
74019 
74349 
74663 
74961 

75245 
75513 
75767 
76006 
76230 

76440 
76638 
76818 
76988 
77141 

77281 
77408 
77621 
77621 
77707 

77780 
77840 
77886 
77920 
77939 
77946 

CSOOIOOJ 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

Oi  OS  OS  OS  Os 

OS  OS  Os  Os  OS 

C?S  Os  OS  Os  OS 

..,».,  1 

63394 
64138 
64858 
65652 
66223 

66870 
87495 
88098 
68680 
69241 

69781 
70302 
70804 
71287 
71752 

72198 
72827 
7303S 
73433 
73811 

74173 
74518 
74848 
76162 
75460 

75744 
76012 
78266 
76505 
76729 

76939 
77136 
77317 
77485 
77640 

77780 
77907 
78020 
78120 
78206 

78279 
78339 
78385 
78419 
78438 
78445 

OS  OS  (^  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  OS  OS  OS 

OS  OS  ^  OS  OS 

OS  OS  OS  OS  OS 

OOOOlOi 

Os  OS  OS  OS  OS 

OS  Oi  OS  OS  OS 

.......  1 

1 

»0 

63883 
64627 
65347 
66041 
68712 

67369 
67984 
68587 
69169 
69730 

70270 
70791 
71293 
71776 
72241 

72687 
73118 
73527 
73922 
74300 

74662 
75007 
75337 
76651 
75949 

76233 
78501 
76756 
76994 
77218 

77428 
77624 
77808 
77974 
78129 

78269 
78396 
78509 
78609 
78895 

78788 
78828 
78874 
78908 
78927 
78934 

OS  A  O  OS  OS 

OS  OS  ^  OS  OS 

OS  OS  C7s  OS  OS 

OS  OS  OS  OS  Od 

OS  OS  OS  OS  OS 

Oi    a    Oi  Si    03 

OS  Os  Os  OS  o> 

OS  Os  OS  OS  Os 

Os  OS  Oi  OS  OS  Os 

IHour 

i 
a 

[ 

-    toco  t-QO  OS 
-*•*"*"*"* 

to  to  tO  up  to 

tOcO  t-00  OS 
up  tO  to  to  to 

O^CMCO"* 
CO  CO  CO  CO  CO 

toco  t^  00  OS 

cococoSco 

SSE^Sg 

woo  00  00  CO 

tocor-00  oso 
ocoococooocB 

gSSSSS 

0-*  OOCM  CO 
CM  CM  CM  CO  CO 

O^OOCMCO 
■V*  "*  to  to 

8SS22 

O"*  00  CM  CO 
CM  CM  CM  CO  CO 

O-S-OOCSCO 

-^ -r -n*  ta  iTi 

8S§2S 

O^OOCMCO 
CM  CM  CM  CO  CO 

O"*  00  CM  coo 

•i«»  "*  ■*  to  to  0 

CO 

3S-E"- 


Page  174] 


TABLE  V. 

The  Finding  of  the  Azimuth. 


O-^igW  o 


>'»ooeoo 


ssss 


o-^  or)e<»o c 


u^:Ot^C>0ai       O^dcO"*?*       lOOr-OOCi       o^Mco-^ 
^^^^^         ^^^^^        C4CSC4C4C4 


CO  CO  CO  CO  CO 


I'^t^COOi        O  1^  C^  CO  ■«>«  lO 


CO  O  -^  CO 


»0  00  -^  ^  00 
C5rH00lO23 

o  -t;  ^  -^  c^ 

WD  O  t-  t^  00 


Cfl  u:>  rt -*  CO 

<0  M5  OO  O  CD 

in  ^cooo^ 


00  Oi  C35  OO 

oooocoodo 


gOl  05C0  OS  QCOC 

C^  00  01W5  OC^L 

00  o  ^  lo  00  o  o  <: 

CO  --O  ^  1-*  CO  O  00  c 


O)  Oi  0>  0>  0>       0>  03  OS  o>  o 


0  OS  Q  CO  N 

01  1^  O  lO  lO 
r-l  !-•  CO  I  -  1-H 

c5c^csc^  CO 

OS  0&  OS  OS  OS 


(N  OS  O  CO  -H 
Ci  1^  *-<  O  lO 

T*  r-  o  c^  CO 

C^  CO  iO  CO  t^ 
CO  CO  CO  CO  CO 

OS  OS  OS  OS  OS 


TPt^i-HOSN  ■  C^  OS  O  CO  C*^  "* 

iO'-<"^M00  OOO-^r^  [-"«»• 

oooso-— ic^  cO"^»0'0<or— 

cocOf-n"-^  •n'-^Ti''^'^'^ 

0>  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS 


lO  00      ococscoco 


.  OOQOOOiO 
<  »0  cO<Ni^ 

00  »-l  CO  ■n' 

t-^  00  00  00 


C0<NC0»O( 
•^  CO  Ost--  OU 
t^  iiO  —<  t^  c^ 
lO  CO  t^  r-  oo 

00  00  00  00  00 


f-C^OOC 
OcOoO  c 
COM"  ^  ! 

OOOs  OS  OSO 

060606060s 


OCOOO  OS  CD 


OS  OS  OS  OS  OS 


lOCOOOOOi-t 


»-<  f-4CSC<IM 

OS  OS  OS  OS  OS 


ic  -^  »o  »-*  t* 

OSGO  OCD  lO 
OS  lO  •— <  lO  OS 
10  I^  OS  O  ^H 

c<i  w  cs  coco 


!>, -^  ,-t  ^-«  CO 
OSOOC^  1-fijO 

cmooooi-i 

CO  -V  lO  t--  CO 

CO  CO  CO  CO  CO 


oscvio-'fr-  r- '^  i-H  00 1^  OS 

lOC^-^COCO  OOStOt^t^TT" 

(NCOCOCOC^  C^OOSt--iOCO 

oso*-ie^co  -^loiocoi-cc 

CO -n*  Tp  TT -er  -.(r -^ -^  rr -n- -^ 

OS  OS  OS  OS  O  O^  OS  OS  OS  OS  OS 


C^OOCO-'*' 
t>-  ID  O  M* 

'  OD  00  CO  00 


CO  ^10  N  OS 
00  CO  (N  00 


COOO'^O'^        COO'< 


^        lO  '^  I-^  OS  10 

—         i-(  C<)  OSCOiO 

CO  <N  0  OS  (N 


CO  C^  t^  00  fcO 

-•S' c^  r-  ^  rr 

8oooco»o 
O  <— <  i-H  rH 


3  00        000000000s        OSOSOSOSOS 


»-*  OS  ■**'  "^  I^ 

01  -H  Tf  f-  t-H 
lO  CO  »0  CO  r-< 

r>-  C3S 1— (  CO  lo 

f-4  -H  CS  CS  CS| 

OS  OS  OS  OS  OS 


t-^  o^t^co 
00  t^  OS  tt  -^ 
i^  CO  00  CO  r^ 

000  gs^  c^ 

WCS  W  CO  CO 


CO  ot^t— N 

00  t^  O  OSTj« 
OCO  CD  !>■  OS 
-^  lO  CD  t--  CO 
CO  CO  CO  CO  CO 

OS  OS  OS  OS  OS 


lOQOCqOcO  coot^-vcoo 

"^ococm^  osoocococoro 

S^  i-<  ^  O  osoor^ioco— • 

1— I  c-1  CO  -v  ■^  10  CO  r^-  GO  OS 


OS  OS  0%  OS  OS   OS  OS  OS  OS  OS  OS 


i-tr-irt  CO 


OS  OS  CO  OS 


I  oo^co 


iO  00-*  i-H  00 

OS  00  iQ  CO  CO 
00  CO  CO  OS  ■'^ 
toco  t^  t^  00 

0606060606 


CVJt^CO'^CO        lOOSCOCOOS  OQOCOCOCD  O  OS  Q  CO  C^ 

C^i-t-^COC^         lOOOTfiO'-*  COOOrHTjiQO  iO  CO  CD  ^->  i-H 

—  —  ~     -.—         C^OSiOCSC^  COCOCOi— 100  lOi-icO'-Hio 

cooO'-HcocD  oooc<i-^io  r^osoc^co 


ft^i-tOSC^        C^OSCOCOC 


osor^  i-t  CO 


THt^OOO-^         CO'*J*OCOCOO 


OOt^^.-H 


»-H  C^  CN  CV)  M       c^«cococo 


"  cOt^  06  OS        O^C 


coooosoooo      r^  CO  lo  CO  1-H  OS 


10  cor-  CO  OS  OS 


0009C0OSOS         OSOSOSOSOS         OSOSOSOSOS         OSOSOSOSOS 


OSOSOSOSOS        OS  OS  OS  O  OS  03 


CO  OS  r- 10 

.  OS  00  CO  CO 

!  00  01 100 

J  OSCSI--  O 


r^ococoo 

coco  OS  CD  -'T 
t-C£5<NO^ 
OS  t*  rr  Oio 

10  CO  t^  0000 


■  OOOOCO       oooocooooo 


■^  OSUO  CO  »o 
t^  CO  OS  ^-^  t^ 

o  r-  "T  ^  o 

OS  CO  (~-  O  TT 

0005  OS  00 

06  0606  OS  OS 


8'<j«  oor- 
t^COt^  OS 

r>.  OS  wv  CD 


OS  03  OS  OS  OS 


Cfl  0»C  >0  00 

1— I  -H  OCO  CD 
OS— «  CO  T*  CO 

OS  OS  OS  OS  OS 


oosi-icoco      ooscq 

CO  00  '<r  ooc^       


<Me<)cococo 


-*  ^  CO  ooco 
ooscq  ^  o 

CDOOfHCO-^ 
J2  '^^'O  OS  O 


--  C^  CO  -^  to 

OS  OS  OS  OS  OS 


I-*  OiO  CO  00  «5 

S-T  C*^  O  00  CO 
r-  CO  OS  OSO 


OS  OS  OS  OS  ^  OS 


,ss 


CO— <      cocoes  osco 

-      Ost^ 

_  r-  00 
iO  o»o 


8e^(Nc^  o     rococo 
cor-cooo       -^coo 
,    00000        QCOiO 


r-oooooo      0000000000 


OS  OS  OS  O  O 
060606  OS  OS 


cor^r*^  t^ 

rr»  r-  CO  -^  O 
t-- "^  O'^  r-* 
r-  OCO  10 1^ 
o»-<  — <  •-"  *-< 

OS  OS  OS  OS  OS 


00  CO  »-H  T-t  "^ 

-vr^ocot^ 

00  CO  CO  CD  CO 

OS  1-1  CO  10  i>- 


OCO— 4  coo 
OSONCOIO 
01  CO  CO  CO  CO 


)CO00Q— < 


C3  to  cs  r^  o 

O  CO  00  1-^  CO 
CO  CO  CO  CO  CO 
CS  CO  -^  »0  CO 


o»— -^  ^OC^ 

lOCO  OSCSJ  C^J  OS 


I^  COCO  OSO—f 


O  OS  OS  OS  OS         OSOSOSOSOS         OS  OS  CS  OS  OS         OS  OS  OS  OS  OS  OS 


OSIQ  CO  — H 

-.  -rf  ^r  -^  C^ 

g  CO'^J'  0*0 

I   OSC*lC0*O 

t*  00  W  00 


COCDC^OCO        OC0^«— 4 


CO  t^r^  — <  t- 

CO  OSiO  CD  C^ 

00-4 CO  coco 


00  00  00  OS  OS 


O-H-4-4— I 


COOSWIO  OS 


C^C^C^<NC^ 


oor^  co"^  o 

iO  -^  cO  C^)  C^ 

r- CO  coco  t^ 

K  CO  CO  CO  CO 


CO  -v  00 1-  — < 
OCO  10  r-  OS 

r^  00  oso—t 


<  -^  OS        C*^  10  OS  t^  O 


OS  OsOSOSOS         OSOSOSOSOS 


Ot^Tj«-<OC<J 

OS  00  ^-  *o  CO  '-H 

t^OO  OSO'-'CS 

•«r  M"  -^  10  10  lO 

Oi  OS  OS  OS  CS  OS 


TTOOOCO  OO'-Ht^'^i-t  lOOOCDI^O  OOC^C^CON 

aioio-^w  OSOSioC^O  coc^iot--co  coocooco 

O^r-Cq  COt~-'*J'C^CO  COOiCOOCq  i-.OS'VOO— < 

.(NCqoscs  ^oscoc^r-  ^hooscoo  os— ^'^cooi 

OsCN»COiO  OOt^OOOO  OsOlOSOO  O  — < —I  — < —< 


t'OOOOOO        0000000000        OOOOOOOSOS        OSOSOSOSOS 


CO  ^  CO  CO  OS 
t-  O  CA  10  OS 
C^COC^i  ot^ 

—4  CO  10  l^  00 
OS  OS  OS  OS  OS 


coc<ico^io      ^c^SP^s:      trQ'^^V? 

OCq  CO  >. 


IC^         COiOCpl^N        C^OSi-HOiO 


(COCO  CO 
OS  OS  OS  OS  OS 


t^  ON  ■*»•  CO 

CO      r^  crso—tcs 


OS  OS  OS  OS  OS        OS  OS  OS  OS  OS 


uo  W  OS  cOiO  I 
•^     -*■       I  TT  TT  » 

'NOOO 

I  »o  *o  10 

OS  OS  OS  OS  OS  OS 


r^  CO  — 1  ■rr  TT  — I 
coio  -^N  000 

00  OS  O  -^  C<  C^l 


I   OS<N  '^J'iO 

I>^  06  06  06 


©M  000  w 

0000  TT  — •  OS 
10  "^  ^  OS  OS 

C^ot-C^r- 

co  t^r^  00  00 

0606060606 


coost^oot^      oscocor>.co      -^c^t^r^-o 

C^i-H-^COC^         lOOSiOiOC^         COOSi-H-roS 
»OCOCOt>-OS       00*0—14000        —  —  — .     — 


N  CO  OCO  CD 
OSOSOOO 


Soiio  t-  c:s 


OOOOOSOSOS         OSOsOSOsOS         OS  OS  OS  OS  OS 


•^  CO  ■**•  O  CO 
»0  -^  CD  C^  — t 
— I  t-  C^  t-  — I 
— (  (N  Tf  10  t^ 
CO  CO  CO  COCO 

0>0i  OS  OS  OS 


COCO  OOiO 


00  ^»o  coo 

— (  00  O  OS  M* 


•CO        OsO^  — «  C^  CO 


Oi  OS  OS  OS  OS 


^     _      <  —<  C^  CO 
■^  lO  *0  lO  10 10 

^  0>  OS  Oi  OS  OS 


OCO'^C^  '^I^eOOT'- 

JN— *— <OS  OiOClOJCO 

"^'O— 110  C4— iCOiOCO 

CO  CO —•  CO  CO— ii-roco 

OSC^'^IO  COt-»t'-0OO0 


t-000000        0000000000 


'-<-^<MC0C^ 
O  OSCVJ  ''T  O 
C*i«  OT-  CO 

COt^  -^  "T  t^ 

OSOSOOO 
06  06  OS  OS  OS 


CO  CO  <N  CO  OS 


SCO  OS  C^  CD 
CDiO  ■^  — < 
C^  -^  CO  00  o 
C^C^C^C<ICO 


SOOOSiO  — < 
— <  CO  OSC7S 
00^  OSMt 
i-<CO'«J*  CO  t 


OS  OS  OS  OS  OS        OS  OS  OS  OS  OS 


CO  CO  CO  CO  CO 

OS  OS  OS  a  o> 


OSO^C^CO 


COCOOOO— 4 

S  10  00  CD  C^ 
•^  •■*  r5  *"* 
10  cor- 00  OS 


i-<  00  "2  c^  — <  CO 

-^  c^oO^  -^00 

8^1-,  COT'  —4 
O  i-HOiroT 
lO  10 10 10  »o  »o 


O)  OS  OS  OS  OS    OS  OS  OS  A  OS    OS  OS  OS  OS  OS  OS 


CO  osr-»o 

8  CO  I—  r-  10 
o^  r-c*^ 
^  ^  ^  y^ 

I   OsC^  -^  10 


r-  OCO  COO 

CSCN»OOiOCO 

CD  r- 1—  00  00 


t-oooooo      oooooooooo 


cor-  '^  10  00 

OSOSOOO 
06  06  OS  oi  OS 


t-  ^  — ( 10  «-" 

OS  CO  OS  01  o 

—t  CO  CD  00  —I 

OS  OS  OS  OS  OS 


Cv»  O  lO  »0  00 
OCOiOQCCS 

cocoes  000 

N^CS^CO 

OS  OS  OS  OS  OS 


W  ^  «  00  -^ 

OS  00  QiO  10 
■V  O  CO  O  Tf" 

c^  "^  »o  r—  00 

CO  CO  CO  CO  CO 
OS  OS  OS  OS  OS 


•  O  CO  lO  c 
S  — lOJ  CO" 


OS  OS  OS  OS  OS 


10  CO  r-  00  OS 

OS  OS  OS  OS  OS 


•^  —I  00  10  ^  CO 

O  OS  "^  r—  t--  -^ 

t-tO'TCMOOO 
O  ^  C^  CO  ■'T  "?• 

40  lO  10  iC  10  ^o 
OS  OS  OS  OS  OS  CS 


CO  est— 10 

COM  Ol  O 

1  t-CCTT  O 

CS  c^  -»■  10 
t^  060606 


r-  Ococo  o 

r- t-co  O  CO 
iO  ■*»*—<  C^  CS 

■^  C^  OS  -r  c7i 
O  t—  t-  CO  00 

0606060606 


-rr  r-  »0  CO  »o 

— t  O  CO  »o  — < 
iO  CD  COt^  CS 
'Tj'  00  C^  »0  GO 
CscsOO  O 

00  00  OS  0>  OS 


CS  OiO  iO  00 

10  CO  O  CO  t- 
--   -,  -.  -.        OS  CS  OS  t~— "^ 

— f-TPt— OS— t         cool—  CS— ( 


r-  — <  — <  lo  — • 

00  10  —<  10  00 
OS  OS  OS  OS  OS 


CS  — I  CS  CO -^  -^j-— looooeo  cooco— "-^ 

•'I'COiOOO  -TCOcOiOO  OCOCSQOCO 

— ir-cst—  — (  -n't— CS— tco  -"T-^rTf-^Tj' 

CO -^  CO  t— CS  o  — <  CS -^  lO  CO  r- 00  CS  o 

OS  OS  OS  OS  OS   OS  OSOSOSOS  OSOSOSOSOS  OS  OS  OS  OS  OS 


rr  — 4  00  lo  '^r  CO 
10  "<r  Ci  CS  CS  O 

CO  CS  o  OS  r-  'fT' 

— «  CS  CO  CO  M"  10 

10  »o  *o  O  lO  lO 

OS  OS  OS  OS  OS  OS 


OCO-^CS 
r-  CO  CD  -^ 

!CO  '^  OiO 
»0»0  CO  10 

cscs  ■^  10 

t-  060606 


■^  I-  CO  o  r- 

CS  ^  t-  lO  CO 

SCO  OilO  o 
t—  I—  CO  OS 

0606060606 


— i'*fCSCOCS 
»0  "^  1—  OS  iO 
— 'CS  CiCOiO 
10  OSCS  CO  CS 
OsOsOOO 


OOOOOSOSOS 


Tf  OOOOCS  00 

CO  — I  t—  CO  -n* 

-r  c^  r-  ^  rr 
CS  »o  t-  OCS 

-<—«>-.  CI  CS 

OS  OS  OS  OS  OS 


est— CSCSUO 

00  — I  '^  r-  ^H 

10  CD  10  CO —I 

"(T  coco  OC^ 

CSCSCSCOCO 

OS  OS  OS  OS  OS 


OS  Cs  OS  OS  O 


i  CO  -^  »o 

'«7'  -«i'  -^r  "^  ^r 


r-oocso-H 

OS  OS  OS  OS  OS 


•-fOOuoCS  ^  CO 
OS  t-  CO  CO  CO  CO 

osoor-*o  CO  — I 

— <  CS  CO  "^  10  CO 

lO  10  *o  10  »o  10 

OS  OS  OS  OS  OS  OS 


CJSCSCOiOCS 

SCO  CS  CO  -^ 
t-CO  — 'CS 
10  CO  OCO  —t 
cot—  00  OC  OS 

0606060606 


>r-.cot 

-         .  JL 

10  CSC 

oosc 

00  CO  OS  OS  OS 


t-  O  CS  ^      - 

-     —J  too— J 
)Cor-  o 

OOSOO— < 


01  CO  cor-  CO 

O'?'  OOt- 
^  0O"T  00  O 
CO  lO  00  O  CO 

—1 -lueses 


SCOOOiO  OC— HiOCOC 

_  _SCSCOCSCO         CDCOiO-^C 

TTOsiOOiCO       t— OCS-rio        '     "     " 


OS  OS  OS  OS  OS 


O  CS  — I  t-  CD 
— '  CTSiO  OiCO 
«  1^  t—  00  O 
CO  CO  CO  CO  "V         ^^  ^^  -^  -^T  "^3* 

OSOSOSOSOS       OS^OSOSOS 


r-  00  CS  o  — < 


-co  00 
D  OC'iO 

1  cir- 

SiOCO 
SiOiO 
OS  OS  O  OS  OS  OS 


— '  O  CO  c 

o  10  CO— '  cir- 
cs CO  -^  »o  10  CO 

to  lO  10  fcO  lO  10 


»OCOt-00OS         O— ICSC 


loor-cocs      o^csco- 


iocot-oo<3*      o^csco-^ 


C*CSCSCSCS         CSCSCSCSCS        COCOCOCOCO        COCOCOCOCO         -<?"* -* -'T  ^P 


cor-ooos      o^cscO'*»'io 


So-*  00  CS  CO 
ooo-*-» 

rfSO 


O-^OOCScO         0"*OOCSCO 

CSCSCSCOCO      Tr'H"«a'»oio 


SM"  OOCS  CO 
OOt-t-i 


Orj«00CScD         OtJ^oOCSCO 
CSCSCSCOCO        -^^-^iOiO 


g'^j'oocsco      O'^ooe^o 
OOi-H— t        CSCSCSCOCO 


O-'J'OOCSCOO 
^T*  ■^  ^r  10  10  O 


TABLE  V. 

The  Finding  of  the  Azimuth. 


[Page  176 


us 

^  set 


ooOr^'H      a5<N55coco      -t.-^f^^o^      ooo^^      cs(NG-^eOM      ^-^r-^ic^      S5o2S      §Sc5S?c§      S^SSSo 


O^^Nro^r       imot-QOOi       Ot-HC*COM*       lOOt^oooi       0»-toico-^       U50t~*o0o>       OT-(e^(ro-^       u-icor^(«^-isf-» 
fc0»O4OiO4o      ioioou^o      ocococcco      C00050CO      tit-i>:t^i^      tiStCt-^      SooSSS      3Sooo?S§ 


-<*«  oe  00  c*!  CO 
■<r  56  O  O  t^ 
lO  c^  Or^  CO 

t^  00  o>  Ol  o 


■^  C^  OS         CO  »0  lO  CO  O 


O  C^  00  00  ^^ 
CM  -^  -^  C^  OS 

O  :0  (N  GO  CO 
i-*^O»(MC0 
lO  O  lO  »o  »o 

OS  C^  9  O)  O^ 


.-iC^Tft^^        OOt-OOCO^H 


lO  lO  lO  »0  lO 
0%  OS  0>  OS  OS 


mo  lo       CD  CO  r- r- t^ 

^  OS  OS  OS  OS 


coooooc^^o 

C^co  OS  ^  — « 

SCO  OS  CO  CO 
00  00  OS  OS 
lOiO  lO  to  "O 
^  OS  ^  O)  o> 


-J^OiOOS        OiOt-iOO 


OS  CO  i-H  iCI  - 

OOi-l  TTCOOO 

osoo  o  o 

O  CD  CO  O  O 
0>  OS  OS  OS  Os 


O  CM  -rf  CD  l^ 


O  t-  O  O  CD 
CO  to  I-  i^  lO 

OSO  ^  CMCO 

i-H  CM  CM  c^  cs 
CO  CO  CO  CD  CO 

OS  OS  OS  O)  OS 


OS  OS  lO  O  00  to 


nl  Tl  "^  ""^  ■""         i-H  CM  CM  CM  C^         CMCM 


CM  00  CO  CO  C/J  OS 
CD  CD  CO  CO  CO  CO 


OS  OiOs  OS  OS  oi 


CO  O  00  to  -H 
OOOSOSO  ^ 
-^  Tf  -^  to  to 

O  Od  OS  OS  OS 


tp  O  CO  to  CO 

Cm  to  to  CO  OS 
oo  -^OcD  ^ 
rH  C^COCO  -^ 

»o  to  to  to  to 


CO  t^  OS  c*^  r^ 

CO»Q  to  M-O 

^<  O  to  CO  CO 


CO  0<  CO  CO  CO 
to  00  0>  OO  CO 

i-H  to  oa  CO  t^ 


lO  o  to  »o  to   to  to  to  to  to 

OS  0>  Oa  OS  OS   OS  OS  OS  OS  OS 


OOCOCOt'-lO  0St»i-(O' 

C<r^Oi-<^H  OScOCMcDC 

^2-GO':H2«  cDosc^'-T'c 

OSOSOSOO  OO— <-H, 

to  to  to  CD  CO  CO  CO  O  CO  c 

OS  OS  03  OS  OS  osososo^c 


■^OC^OtO 
OS  OS  r^  TT  OS 
OO  O  CM  *r  »o 
— <  CM  c^i  o  c<i 

CO  CO  CO  CO  CD 
OS  OS  OS  OS  OS 


CMCM  CM  CO  CO 

CO  CO  CO  CO  CO 


CO  OS  TP  t^  OS  o 
CM  CM  CO  CO  CO  -^ 
CO  CO  CO  CO  CO  CO 
CD  CO  CD  CO  CD  CO 

OS  OS  ^  OS  OS  OS 


to  05  OS  CO '^  .-*  CO  OS  f-i  CM 

COI^OSOSCD  i-HCOCOCMOO 

-H  00  to  CM  OS  CO  CM  00 -^  OS 

ososo^i-'  ^coco-^-^ 

■^^lOtOiO  tOiOiOtOiO 

OS  O^OSOsOs  OsOsOsOS'Os 


c^co  to  coco 

(M  '«f  -W  CMOS 
to  O  to  O  'J' 
to  CD  CO  t^  t-- 
to  to  tO  to  to 

0>  OS  OS  OS  OS 


OS  00  OS  -^  W 

CO  CD  r- 1-  to 

^00  OS  OS 


»o  to  to  to  to 

OS  0>  OS  OS  OS 


^*«  Oi  OS  CJ  » 

OS  C^  I 
OSOc 


^H  to  cc  c5o 


to  CO  '-D  '^  CO 
OS  OS  OS  OS  OS 


»o  cot*  coo 
OO  toO-^  r^ 
■^r-ocM-v 

— t  ^  C^l  CM  C^ 
CO  CD  CDO  CO 

OS  0>  OS  OS  OS 


O  CDOOCO  F-i 
00  t-*  to  CI  00 

CO  ooooico 

CM  CM  CO  CO  CO 
qO  CO  CO  CO  CO 

OS  OS  OS  O^  OS 


_(  00 —*  *-M  l^ 
C^I"^cDco  ^ 
to  CO  t-  00  OS 
coco  coco  CO 

cO  CO  CO  CO  CD 

OS  OS  OS  OS  (Sb 


O  Oco  O  OS  CO 
CM  CO  CM  CO  t^  00 
OQ  1-1  ^  ,-1  ^ 

CD  CO  CD  CO  CD  CO 

OS  OS  OS  OS  OS  OS 


2*  xooc^co 

O  "^  CO  CO  CO 
OS  CD  CO  OI^ 
OsO^  C^ICM 
■^  to  tO  to  to 

OS  OS  OS  OS  OS 


OiO  OOO  ^^ 
00  O  O  Ol  to 
CO  O  CD  •-*  t'- 
co  ■^  -^  to  lO 
to  to  to  to  to 

OS  OS  OS  OS  OS 


OS  •-<  r-«  OS  CO 
CM  00  CO  1^  CM 

CD  CO  r*  (^  CO 
to  to  *o  to  to 

OS  OS  OS  OS  OS 


cot-  coco  ^ 

oco -^"T  CM 
t-  1-t  to  C?S  CO 

00  OS  OS  OS  o 
lO  to  to  to  CO 

OS  0>  OS  OS  OS 


coooooc^o 

CO  CM  to  t-  t- 

CPOCOCOOS 

CO  CD  CO  CO  CO 
OS  OS  OS  OS  OS 


'^  cacoioos 

to  C^*  !>■  i-<  CO 
CM  >o  r-  O  05 
CM  CM  CM  CO  CO 

CO  CD  CO  CO  CO 

OS  OS  OS  OS  OS 


OSiO  t-^  to 

TP  TP  CMOS 

■«J«cD  M  OS 
COCO  coco  '^ 
CO  O  CD  CO  CO 

OS  OS  OS  OS  OS 


o  r-  o  o  CO 

OS  -— I  CO  CO  1-H 

CM  "^  to  CD  t'- 
CD  CO  CO  CO  CO 
OS  OS  OS  OS  OS 


OS  OS  to  OS  00  to 
GO  -?*  OS  CM  T}.  »o 
I—  00  OO  OS  OS  OS 

Tj<  -^  *t<  -^  -t^  .^ 

CO  CO  CO  CO  CO  CO 
OS  OS  OS  OS  OS  OS 


COOOtPio  C^t-OCQCO 

tOOCS'-HOO  COtOcD-^O 

CO-TPi-HOC-^  t-^t—  COOStO 

O^C^C^CO  ——---  — 

lO  to  to  to  to 

OS  OS  OS  OS  OS 


5  to  to  I 


toco 


CO  TpcDOSTj* 
Tp  coco  TP  .-t 
O  to  O  to  O 

r- t-oo  ooos 
to  to  to  to  *o 


OS  O  OS  OS  OS   OS  OS  OS  OS  OS 


to  to  CO  coco 

OS  OS  OS  OS  OS 


5  o  o  Tj*  M      coTjfoor-— ( 

SOO'-'CMCM        Or-.C^COC3S 

--   ■--    00.3.  - 


r-4  — I  CM  CM  CM         COCOCOCOCO 


CO  CD  CD  CO  CJD 
OS  OS  OS  OS  OS 


CO  CD  CO  CO  CO 
OS  OS  OS  OS  OS 


<-<r^osr^  CM 

O  01  t-  TP  O 

C^  CO  to  t-  OS 
CD  CO  CO  CO  CD 
OS  OS  OS  OS  OS 


CMOSCMCSOO  ^'-Ht-wOt- 

TP  to  00  00  CO  TP  o  TP  00  o  o 

O1— "CMCO*^  lOcDcOCDr— l>- 

lO'OtOtOtO  tOtoiOtOiOto 

CO  CO  CD  CD  CD  CO  CO  CO  CO  CO  CD 

OS  OS  OS  01  OS  OS  OS  OS  OS  OS  OS 


CM  CO  00  ^ 
OS  CO  to  to  CM 

CO  ■— t  OOtO  CM 


to  to  to  to  »o 

OS  OS  OS  OS  OS 


CO  coo  OC  OS 
cDOs^  r-co 
00  -VOCO  CS 

TpiocDCO  t- 

lOtO  to  to  to 
OS  OS  OS  OS  OS 


OS  O  C^  to  O 
I:--  O  O  00  to 
t-"  CO  00  CM  t— 
I--.  CO  00  OS  OS 
to  to  to  to  to 

OS  OS  OS  OS  OS 


CD  10  CD  »-'  O 

OS  C^  CO  COO 
1-c  cp  O  M*  00 

O  O  — <  <— <  i-H 


t-«cO  CD  O  00 
t—  I— <  Tp  o  to 
i-t4O00  — (TJ« 
C<1  C^  CMCOCO 
CO  CO  CO  O  CO 

OS  OS  OS  OS  OS 


Tp  r-<  CD  O  CM    CO  CO  1— •  00  CO 


C^  O  T3<  CO  t-- 
TP  r-<  CD  O  CM 
t-  O  CM  to  t- 

CO  Tp  TP  Tp  T?. 

CO  CD  CO  CO  O 
OS  OS  OS  OS  OS 


t-COiOCOCO        COtOOOCO- 


I—  CO  t—  CO  CO 


O  rH  i-(  O       t— CO  00  1-H  CO  TP 


OS^COtpO        I—  OSOf-HCM        CMCOCO-     -     .^ 
■^lOtOtOiO        tOtOcOCOcD        COCDCOCOCDCD 


OS  OS  OS  OS  OS 


CD  CD  CO  CO  CD 
OS  OS  OS  OS  OS 


CO  CO  CO  CO  CO  CO 
OS  OS  OS  OS  OS  OS 


e^cDCDO'-' 

^-(00  to  CMOS 
N  C^CO  T?«  TP 


COCOCOOOOS  OSOC^tOO 

00<-Hr-iOStO  OSCMCMOI- 

lOCMOOCOOS  -^OtOO^ 

to  O  CO  t— t-  00  OS  OS  o  o 

lOtOtOtOtO  tOtOtOCOCO 

OS  OS  OS  OS  OS  OS  OS  OS  OS  OS         OS  OS  OS  OS  OS         OS  OS  OS  OS  OS         OS  OS  OS  OS  OS         OS  OS  OS  OS  Os 


CO  to  CO  <-<  OS 
T-t  "*  to  to  M 

SCO  1—  •-<  to 
-H^CMCM 


t-icOcOOoO 

C^COCOCO  TP  .      .      -     -,  -, 

CD  O  CO  O  CO        CO  CD  O  CO  CO 


TJ1   "^   Tp  10    to 


t— CO  to  CO  00 
to  to  CO  o  to 
CD  000  CM  CO 
to  to  CD  CO  CO 
CO  CO  CO  CD  CD 


-  .  __    CO  to  00  00  T»< 
P  to   OS  CMCO  CO  CM 


^cocococo   cor-h- ^-t'•^-. 


cO  CD  CO  CO  CO 
O  0>  OS  O)  OS 


CO  CO  CO  CO  CD  CD 
OS  OS  OS  OS  OS  OS 


t-  i-H  -^  10  O 
1-H  coco  t-  TP 
CO  to  C^  OS  CO 

lO  to  to  to  to 


CO  OC  <-<  CO  Tj« 
OS^CMOO 
C^Os  to  <-•  CD 
CD  CO  t- 00  00 
lO  to  to  to  to 


Tf<40t-*0t0  P-lO'-HCOTp 

oc5c^^t^  c^tootoco 

CMt-C^t-f-H  COOtTOOCM 

OSOsOO-^  ^HC^CMCMCO 

lOtOcOCOcO  CO  CD  CD  CO  CO 

OS  OS  OS  OS  OS  OS  OS  OS  OS  OS 


CD^-HiOCO 
OS  TP  t-  00  00 
to  OS  CM  to  00 

CO  CO   '?'  TT'   T}< 

CD  CD  CO  CD  CO 
OS  OS  O  OS  OS 


t-ioosccc^  c^oooooco 

CD  CO  00  CM  to  CO  to  TP  O  CO 

— (  Tjl  o  OS  r-l  COtOI--OSO 

tOtOtotOCO  CDCOCOCOI-^ 

CO  CD  O  CD  CO  CDCOCO^CO 

OS  OS  ^  OS  OS  OS  OS  OS  OS  OS 


2 Oco  CO  OS 
CO  -V  TP  C^ 

C*  CO  '^  to  CD 

CO  CO  CO  CD  CD 
OS  OS  OS  OS  OS 


C^  C^  CO  C^  1-*  00 

O  CD  O  Tp  CD  CO 
t^  r-  CO  00  CO  00 
t—  t—  r-  I-  t^  t>- 

CO  CD  CO  CO  CO  CD 

OS  OS  OS  OS  OS  OS 


ooc^c^cor- 

O  to  r-cD  -- 

to  C^OSCD  -  . 

--     -     --toco 


coco         GO  O  »-<  OS  to 

OS  CO  CM  r--  CO 

CO  t--  00  CO  OS 
lOtOtOtOtO         lOtOtOtOtO 

OB  OS  OS  OS  OS        OS  OS  Oi  OS  OS 


to  coco  r-l  CO 
OS-^r-iOcD 

00    TP   OS   TPOO 

OSOO—t  i-< 
to  CD  CD  CO  CO 

OS  OS  OS  OS  OS 


C<i-tC<Jt-iO        I— C^CMcOtp 


COI^T-ttO  OS 
CSC^COCO  CO 
CD  CD  CD  CD  CO 


OS  OS  OS  OS  O) 


00  CO  CO  t^  t- 
CMCO  OS  CM  to 
rP  TP  Tji  lO  to 
CO  CO  CD  CD  CD 

OS  0&  OS  OS  OS 


CO  O  O  OS  CO 
to  CMOO  t-«  TP 

00^  CO  CO  00 
to  CD  CO  CO  CO 
cO  CD  CD  CD  O 

OS  OS  OS  OS  OS 


CO  OS  »— *  OS  tP 
to  Tj»cO  OS  to 
O  CM  -^  to  t- 

CO  CO  CO  CO  CO 

OS  OS  OS  OS  OS 


^^2;2!S      cocooscocsos 


CO  CO  CO  CO  CO 
OS  OS  OS  OS  OS 


CO  CD  CD  O  CO  CO 
OS  ^  OS  OS  OS  OS 


St— r- ^c^ 
C^  *r  TP  ^H 

1-t  C7SCOCO  O 

T?"  -^  10  CO  r- 


O— tCOcO^ 
t—  OS  OS  t"-  Tj« 

iisii 

OS  OS  OS  OS  OS        OS  OS  OS  OS  OS 


OS  TP  t,  OS  o 

to  CO  00  O  CO 


to  to  to  lO  CO 


{--cor-c^o  c^t^t'-— (OS  co^toTPoc  ootpcc 

CO  ■— I  d  CM  O  CD  O  CO  to  Tj*  CO  O  to  OS --<  CM  CM  C 

OS  TP  CC  cm  CD  OS  CO  CD  OS  CM  tO  OO  O  CM  to  t- e3s  ^ 

^coco-^Tp  TPtototoco  cocot-.t-t—  t-r-GO. .       •^^^■^^■^^.^ 

CO  CD  CO  CD  CD  CD  CD  CO  CD  CO  cO  cD  CO  CO  CD  cO  CO  cD  CD  CD   cO  cO  cO  cO  ^ 

OSOSOSOSOS  ^  OS  OS  OS  OS  OSOSOSOSOS  OSOSOSOSOS   ^OSOSOSOS 


OS  CO  ^  ^  to        CO  00  TP  00  (— tP 

OOSOOOS        COCMt-~OCMCO 

to  CD  CO  OS  OS    O  "-H  ■—<  CM  CM  CM 

CO  CO  CO  CO   OS  OS  OS  OS  OS  OS 

'       *   O  CO  CD  CO  CO  CO 

OS  9  OS  OS  OS  OS 


CD  O  O  -P  to 
TP  OS  •— <  O  r- 
00  to  CO  O  CD 
TPiO  CO  t~  t^ 
to  to  to  to  o 

OS  OS  OS  Oi  OS 


CMt-OCMCO  COtpcoOstp 

CM  Tf  to  CO  OS  CO  to  to  CO  O 

cOOsiO^^O  CMlr^C^t'CM 

CO  CO  OS  O  O  tM  »-<  C^  CM  CO 

tOtOtoOCO  COCOCDCDCD 

OSOSOSOSOS  OsOsOSOSOS 


O  OSO  to  CO 

to  tr  OS  CO  CD 
CO  O  M"  CO  CM 

CO   Tp   -f   TP  lO 

CO  CO  CO  CO  CD 
OS  OS  OS  OS  OS 


to  O  O  Tp  csi 

c^r-o^  ^ 

CO  OS  CO  CO  OS 

to  to  CO  CO  CO 
CD  CO  CO  CO  CO 

OS  OS  OS  OS  OS 


CO  Tt<  COt-^H 

OS  CO  '-"to  00 

t-r-r-h-00 

CD  CO  CO  CO  CD 

OS  OS  OS  OS  OS 


e^osc^cQoo 


.-<t-OSI>-C^ 

OS  00  CD  CO  ~ 

CO  tor-  OS 

00  CO  00  00  _. 

CD  CD  CO  CO  O 

OS  OS  OS  OS  OS        OSOSOSOSOS 


CO  00  CO  OS        OSOSOSOSOS 
"^  -^  "^  ■"        CD  CO  CD  O  CO 


CO  OS  CO  t—  OS  OS 

I-  t-^  CO  CO  00  00 
OS  OS  OS  OS  01  OS 
CD  CO  CD  CO  CO  CO 

OS  OS  OS  OS  OS  OS 


COOOtPiO  C^Jt-OC^CO 

OSTPcOtOCM  t'-OSOOOTT 

TPC<10SOCO  OSiOC^t-cO 

tocDcor-00  ooosoo^ 

tOtOtOtOtO  lOtocOcDO 


CO  ■^  CO  OS  Tp 

00  O  O  c^  to 
00  -T-  01  CO  00 
f-H  CM  C^CO  CO 
CD  CD  CO  CO  CO 

OS  OS  OSOSOS        OSOSOSOSOS        OSOSOsOsOS 


§  OS  o  toco 
C^  Tf  CO  ^ 

CO  r—  — *  to  OS 

T?<  -p  lO  to  to 

CO  CD  CD  CD  CO 

OS  OS  OS  OS  OS 


tOOOTpCM 
t—  CM  to  CD  CO 
CMCO  OS  CM  to 

CD  CO  CD  I-  r- 

CD  CD  CO  CO  CO 


GO  '— '  CO  CO  00 

t>- ^y:)  00  (Xi  00 

CO  CO  CO  CO  CO 


wr-OSt^CS        CMOSCMCMOO       — i^t— .-<ot— 


-    CO  ^  GO  -^         OOOCMCMO         OOtPOO 

ocM-Ttor-      ooO'--'C>ico      coTPM' 

OSOSOSOSOS        OS  O  O  O  O       OOO 


CO  CD  O  CD  CO 


CD  t-  t-  t-  t- 


ss< 


^OSOSOSOS        OSOSOSOSOS        OSOSOSOSOS        OSOSOSOSOS       OS  OS  OS  OS  Os  OS 


O  — *  CO  CD  ^ 
CM  TP  -r  CI  OS 
to  O  to  O  -r 
Cl  CO  CO  -r  Tj. 
CO  CO  CD  CO  O 
OS  OS  OsOSOs        OSOSOSOSOS        OSOsOsOsOs 


COt-t-^^C^  OSTPt-OsO 

COr-OSCTSCD  O  CO  CO  —  CO 

»-t00toCMOS  CD  CM  00  TP  C?S 

CO  CO  t- CC  00  OsOO^^ 


r-  X)  t-  c^  o 

CO  CD  I-  t-  to 

OS  CO  t-  -H  10 
-P  to  to  CO  CD 

CO  CO  coco  CO 

^  OS  OS  OS  OS 


00  00  OS  OS  OS 


00  TpcO  TP  OS 

r-  r-  to  CM  t- 

CD  X)  O  CJ  CO 

ososooo 


OS  CO  OS  OS  to 


CO  CO  CO  CO  CO       CO  CD  t- 

OSOSOsOsOS        OSOSOSOSOS        OSOSOSOSOS 


00  CO  Tt<  00  t~*  TP 
JH  I;  CM  to  t- GO 

O  O  t-H  1-H  — I   .-( 

r-  r- 1-*  t>- 1- 1— 

OS  OS  OS  OS  OS  OS 


00  CM  C^  CO  t- 

tOOCM-HOO 

r-  to  c<»os  to 

CO  t— 00  00  OS 

to  to  to  to  to 

OSOSOSOSOS         OSOSOSOSOS 


Tp  OS  C^  •*  to 
COOCD  -^O 
CMGO  TP  O  CD 

o  o  i->  ci  ?5 

CD  CD  CO  oco 


»0  CD  00  1-H  O 
-P  CO  CO  to  •— ' 
^  O^cO  ^ 
CO  CO  "^  TP  lO 

OS  OS  OS  OS  OS 


CM  -H  CM  t'  to 

CD  OS  O  OS  t-- 

to  to  CD  CD  r- 
OS  OS  O)  OS  OS 


>  TP        CO  CD  OOSCO 
I  CM        O  t-  CO  CO  ^ 


O  CD  CO  CD  CD 
0>  OS  OS  OS  OS 


CO        OS  OS  OS  OS  C 


O  OS  GO  '^  O 
CO  "^  CO  00  o 


X)  00  r-      Tjt  o 


—I  CMCO  'P  10 


cDcococot-      t-t-t-t-t—      i>.t-»t-t-r- 

OSOSOSOSOS        OSOSOSOSOS        OSOSOSOSOS 


CO  CO  OS  CO  CM^ 

0000 
t-  r- 1- 1—  t— 1>- 

OS  OS  OSOS  OS  ^ 


w5 


locor-ooos      O'-HC^co^      tocot 


JOS        O— <CSCO-P        lOCOt-OOOS        O  i-<  CM  CO - 


to  to  to  to  to        to  to  to  to  to        CO  CO  O  CO  CO        CDCDCOCJDCO 


tOCOt— 000s        Oi-<CMCOTft       lOeOr^COOsO 

t— c*t—  t-t^      0000000000      ccooooooooos 


lO'POOCMO         OtPOOOIcO         OtPCOC 
:000^^         C^C^CMCOCO  -pTT-^L 


O  Tp  00  CM  --0 

000^  ^ 


O'PCOCICD        OtpOOC^JCO        0"^COC^cO        OtPOOCMcDO 
-PTP^tOto        OOOf-<i-i        C^C^CSCOCO        ^^^loSo 


Page  176] 


TABLE  V. 

The  Finding  of  the  Azimuth. 


ciO-^OOClO         O'^OON:©        O-n'OOe^CD        0-fOOC^«0         OM'C* 

sooO"-!-^     MNNcom     ■^■v»"5>S     ooc-"-!— <     e^weS 


:ooo 


c^  re       O  •^  00  w  < 
CO  CO       'T  -^  ^  >o  t 


CSCOCO        ■n«'^'^»0»0  0 


Oi-HC^co*r      iotrr>-ooOi      o^^c^co*^      woeot^ooos      o-^wco-^      ^<Qt-oo^      o^^csco-^r      io<ot^ooo      o^hwco 
.-I  >-i  rt  T-<  i-H      ^.-ii-ii-i«      e^MCscic^      p5e5e<>e^N      cooocomeo      eococococs      ■»< -ir -?•  ■«• 


M*  O0Q«O 
t^  00  CO  00 


00  1-t  t--  -f  1-t 
t>-  t^  CO  o  oo 
i->  Q  I--  lO  »0 
"V  C<  00  ■«T  Oi 

0606000606 


10  00  to  b-  <o 

t-«  O  CO  ^  »-< 
.-t  C^Ci  CO^ 
't*  CO  ■-<  »^  00 

t^t^  0000  00 
0606060606 


O0«  WCDM 


Oi  O  Cl  C-  O 

OOCOOOOCCl 


CO  1-H  cocoes 

10  COOCO  t^ 
10  »0  10  CO  o 
CO  »0  r*  o  «-• 
0000^ 


COC<»COClUD 
■-f  CO  >0  O  O 

t'-  CO  coco  t^ 
c^  -^  lo  r-  00 


"fCOO^O        Or^-OiCO 


-f  CO  O  ^  O 

O  CO  "^  r^  Ci 

S  C^  CI  CS  c5 


OiOi  Oi  Oi  0>        C^  0>  Oi  d  Oi        Oi  Oi  0>  Oi  o^ 


~5  r>.  Oi  CO  CO  »0 -^  C5  01  C4  0> 

Soooo  cnoocoocoo 

r-cocio  O-^c^co-riO 

C^C^JCSC^CO  cocococococo 

OS  O  O^  O)  O  OS  OS  OS  Cs  O  OS 


-t"C'-^  CO 

t^ocsi  CO 


"«**b-  coor>- 


^  -^  C?  CO  04 

coMOr^  CO 
c4  CO  o  -r  «o 


iC  CO  OS  lO  O        »0^i  CO  to  OS 


CO  toe 

coco  c 


I^OOOOOO        OOOOOOOCOO        0000000000 


s??gs?s 

»o  O  CO  W  ^'^ 
OSCSO  00 

0606060s  Ci 


OClC^iOO 


C<»iOO 

to  cs  o  -n-  <— < 
'*  CO  c/-^  o  ci 

OS  OS  ^  OS  O 


OSOOOSiC^H  ^-(COiCUSO 

»c^toc^e<i  co-^oob'C^ 

00 -T  CS  n- 00  1-1 -^  CO  CO  O 

CO  O  to  CO  OS  f-H  W  CO -n"  CD 

^^^^^  dcscsic^cs 

OsOsOSOSCs  OsOS^OsOS 


000^       ^COiCC^— «CO 

■'-*--         x^  10  «-t  "^ -"T  ^H 

QCS  OOCO  "T  C^ 

CiC*C0  -r  *OcD 

CO  CO  CO  CO  CO  CO 

OS  OS  OS  OS  ^  03 


CO  CO  O  --     - 
CioOrHOiiO 

t^  000s  Oi-< 

OS  OS  OS  OS  OS 


COC^OOO 


OCOOSCOCO 

00 1-  CO  000 
CO  c^  C5  b-  r* 

tOf  O  tO^H 

|r»(^gv»co      ■^'Ocotor^ 
r^oooooo      0606060606 


835' 


^-  0000s  00 

1-t  *-^  CO  o  »-* 


10  CO  00  00 1-t 
10  OOOCO  00 

r^  t^  t^  10  cs 


O'^"*  OOf 
O  OO-^  "^  •-* 

CO  CO  OS  CO  to  ,  -.     .         

CO  to  CO  i-*  CO  »or^osi— ICO 

OS  OS  OS  O  O  OOO'-''-' 

06060OOSOS  OSOSOSOSOS 


lO  "^  iC  ^-«  t^ 

*r  co»Oi-H  Q 

OS  iO  O  »0  OS 
"^f  to  00  OS  O 

OS  OS  03  OS  OS 


t-  '*  ^H  ,-t  CO 

"t  CO  r^  CO  o 
oi  »o  r-  OS  »-t 

<M  CO  -^  iC  r^ 


C^  C^  CO  CO  CO 


OSOSOS^Os        OSOSOsOSOS 


r»  -^  T-t  00  r^  OS 
10  'TOc5c^ca 

1-H  o  OS  r^  iC  cs 
CO  '^  -r  u:>  CO  t^ 

CO  CO  CO  CO  COCO 
OS  OS  OS  03  O  OS 


»-tr*»cc5 

8  OS  CO  00  CO 
,  r>.  r*  uO  t^ 
I  r-  o  Wco 

rococo  :o 


iOQ-^^CO 
3MOSCOCO 
■*  coos  t^  00 


NiOCO'rf  CO 
t^  COOSr-l  t^ 

CO  -^  •-<  cor-» 

t-  1-1  »0  CO  *-« 

r*  00  CO  00  OS 

0606  060606 


u^  OS  OS  CO  OS 
OCOC7SOCO 
t^  -^  OS  -^  CO 
■^  r^  OS  C*  -n* 
OS  OS  OS  o  O 

CO  CO  06  cs'  OS 


OCsOcOC* 
O  00^^  CD  CO 


000  CO  CO  CO 
i-H  CO  tOOSCO 

ooogt— lOco  _    --      — 

CO  CO  O  C4  •*»«  CO^-OSO»-< 

OO-H^-t^  rH<-Hi-lC4C4 

OS  ^  OS  OS  0>  OS  OS  OS  OS  OS 


C^OSCOCOi-l 

OCO<Ni-t  1:0 

coic  000  .-H 
CO  -r  o  r-  CO 

OS  OS  OS  OS  OS 


C<)  »ocoos 
c^^cocococ^ 

SO^^  csco 
CO  CO  CO  CO 

OS  OS  OS  OS  OS 


CJ^<OC0CI-«< 
1-1  OS  10  CO  00  10 
C^  002  t^  10  CO 
"^  »0  "0  cot—  00 
CO  CO  CO  CO  CO  CO 

OS  O^  C3  OS  03  Od 


cai-oco^ 

».-«  rH  rH  O 
cor-  CO  t— 
,    QOOOCOOO 
I   t^OC^ICO 

i>ro6o6o6 


CO  cocoes  to 


CO  lO  C^  OC  to        OOSC^*^0        COCDC^COOS 


;3;  CO  or-  00 


QOOOCOOO       obcococ 


oco::HC<i^ 

00s c^ -^  O  -  _  .  . 

Tf-^CMCOOQ  »~--9<0 

^«coose^  i£500— ^t^^-i^ 

■  Q0CO0DO5  OSCiOOO 


^H  t^       00tO^-i.-«'^       oot^oo-^o 


JCDOSC^CO  C^^^COOSOS 
aOOOt-cOCO  O  to  •-«  "5  OS 
t-OSi-icOiO        t-OOO^HC* 


000000X00         OOCOCOCOOO         OOCOOSOSOS         OSOSOSOSOS         OSOSOSOSOS 


01--  ■n'  -^  OS 

CO  »-<  10  *f  00 

CO  Cp  00Oi-< 

Tf  10  CO  QC  OS 

OS  OS  OS  OS  OS 


<N  lO  OS  I^  O 

cs  irr  t-  CO  W 
^  CO  CO  CO  CO 

CO  CO  CO  CO  CO 


OS  OS  OS  OS  OS 


TT  C^  00  1-4  1-1  CO 
C«  «-l  OS  CO  CO  CO 
»0  CO  O  t^  00  Oi 
CO  CO  CC  CO  CO  CO 

OS  OS  OS  OS  OS  OS 


OSICCO-H 

Scor-cot- 
,   osCib-Os 

I  r-ocico 

t^  06  06  06 


CO  CO  WOi  CO 
COiOCS  ooco 
•^  CO  O  I—  00 

osr-  '^cs-t* 
•^  uo  CO  cot— 

0606060606 


OcO'-hCS—i 

o  cr-  N  "^  o 

TT  "^  C^  to  CO 


CO  CD  C*  CO  OS 


OS  CO  t— O  CO   CO  cs  cs  "rr  CO 

t— oocoosos      ososooo 


cot—  00  "^O 

c5  --fcoosra. 

OtO  »-<  iC  OS 
CMttco  coc3s^Cseo 
^^^      i-ti-icsc4i^ 


0000000000        OOCOOSOSOS 


00  CO^^ 
COCOOs  W    - 
00  cot- CO  CO 

00  o "  ■* 

Oi-< 

OS  OS  O  OS  O^ 


O  OS  Cs  OS  OS 


ot--^-^cs 

CO  '-f  lO  -^  GO 
CO  CD  CO  O  ■— « 

u'5  CO  r-  d  o 

CSCMCSCS  CO 

OS  OS  OS  OS  O) 


C«»/5  0St-0 
OS  iC  t-  CO  <M 
C<  CO  CO  CO  CO 

^05  00-^10 

CO  CO  CO  CO  CO 


OS  OS  OS  OS  o 


Ot-'^^OC4 

■^c^ioo^^oc 

cs  ^  Oscoco  ^ 
cot—  t—  coos  O 

CO  CO  CO  CO  CO -^ 

O^  ^  OS  OS  OS  OS 


I    COr 


CO-^t-Tj-^ 
CO  CO  OS  CO  "^ 
'T  COOt^  00 

000 M-  o»o 

lO  lO  cot-  t^ 

0606060606 


lOOOCDt-cO  OOCSCJeOCS  COi-*CDcDOS  COCSCOOS^O  lOCSOSOS'-t*  t-O'^'CSiO 

t— cOOS»-<t—  O'^'OOt-  1-i-^COCiCO  OCS^HCDcp  OCiCSi-mcd  cOco^O-^Os 

CO-^«-tCOt—  t— -^Oti'CO  OOCOt-OcO  O^^i-flOOS  CO^COO'-*  cscocococ^ 

Ot<00»-t-<»«  t— OcOiOt—  OSi-iCOiOt—  OSOCSCO'^  cot— OOO*-'  CSCO'^iOtO 

oocoooosos  osoooo  o '-'»-''-' "-H  1-1  cs  cs  e^  cs  CSCSCScO^  COCOCOCOCO 

0606060606  06OSOSOSOS  OsOSOSOSOs  ^OSOSOSOS  CSOS^OSOS  OsOsOSOsOS 


iC  cs  OS  CO  I'S  t- 
i-<  c  10  OOCOiC 
cs  — <  OS  t—  10  CO 
t-  00  00 OS  Oi-( 
CO  CO  CO  CO  ^^  ^f 

OS  OS  OS  OS  OS  OS 


-^000  CO 

r^  0606  06 


COi-4t-'»t^ 
CO  00  ■^  •-<  03 

CO  csos  t—  t- 
1-t  OS  lO  •-(  CO 
lO  lO  CO  t—  t— 

06  06  060600 


.-<        lOOOcOt-cO        OOCSCStOCS 


cs— 1  ■H'COCS 
CO  -"T  1-1  »0  t— 

i-l»OOSCSiO 


CO -"T  1-1  »0  t—         CO  CO  C^  CO  CO 


cooooocsos      osoooo 
0606060606      ooosososcs 


CO^<:OcDCS  COC^COOSiC 

CDOS^-("^00  i-O-^tOf-fi— I 

t— t— t— >OCS  OS  O  O  lO  OS 

O  cs -^  CO  00  OS  ■-' CO -^  in 

^^^^^  1-iCSCSCSCS 

OsOSOSOSOs  0SOSO3OSCS 


iCCS  OscDiC  t- 


S    25 


lO  C^  OS  OS  •**«  t— O  1^  cs  uo 

>o-rt-cD-^  ^^cooos 

CS^Ot— OS--4  cscscocs 

t-COCSOCS  CO'T^tO 

cscscscoco  COCOCOCOCO      CO  CO  CO  "^ -rr -^ 

OS  ^  OS  OS  O  OSOSOSOSOS        CSCSOdOsOSCs 


OCO"^CS 

8r-cDCO^ 
,  ^Socs 
I  oo^eo-r 

t^  CO  06  CO 


^  Ot-*r  ^ 

CO  cs  00  CO  t^ 

cs  o  CO  c-1  ^* 

10  CD  CO  t—  t^ 


IQ  ■*»*  t—  OS  »0 

cSeoOT  CO 

cs  CD  O  CO  CO 
CO  CO  OS  OS  OS 


ooooooooco      oococooooo 


OS  cs  -r  t-Os 
OSOOOO 

CO  OS  OS  OS  o 


CSt-CSCSiO  OS0GOSiCi-( 

CO»-H-^t-i— I  t—  tOOOTj-T 

cot-co-n'cs  ootos'n'co 

T-«COO^-OS  OCSCOIOCD 


OS  OS  OS  OS  Od 


cscscscscs 

OS  ^  OS  OS  OS 


i-H  00  10  IC  O 
00  CO  OOS  "T 

1-t  -ri-  00  O 

00  OS  Oi-»  CO 
CSCSCOCOCO 
cs  OS  OS  O  OS 


CO  CO  O  OOr-l 
'^  OCO  i-«  t- 
1-t  CSCS  CS-H 
'If  lOcO  t-OO 
CO  CO  CO  CO  CO 

OS  OS  0%  OS  OS 


^  OOi^CS^CO 

OS  t—  coco  coco 

OCSCOcO-^CS 
OS  OS  O^^CS  CO 
CO  CO  't*  '^  M*  "^ 

OS  O  O  Od  O^  OS 


■^"  (_J  V^J  5i^ 

81— t-  CO  'V 
CO -^  010 
,  coco  rH  CO 
OOf-iCO'^ 


co^  r-M^T-i 
1-!  — 4  r-  -^  CS 

C4  ^  t-  10  CO 

CO  ^H  r^  CO  00 

lOcOcO  t— t— 

0606060606 


looocot:  ^ 

iO  Tf  t—  OS  lO 
.-» csos  CO  10 
CO  t-oij;t; 

OOCOOSOSOS 

0606060606 


OOCSCStOCS 

CC  CS  GO  CO  »0 

*r  cs  r-  ^  2: 
OC0  40C0O 
OOOO*-" 
OS  OS  OS  o  o> 


CO'-'COCOOS  COCSCOOSiO        L^iCSOSOS-** 

OSCS-^t-t-l  001—  OS'*?''^  Ont— CSf-ft-r*. 

iO  CO  lO  CO  »-<  t— COOOCOt— 

CS-rcDOOQ  ^^cO'TcOt- 

^^^^C5  CSCSCSCSCS 


OSO— •  csco 
cs  CO  CO  CO  CO 


OS  0%  0&  0&  OS   ^  OS  OS  OS  OS   Oi  Cs  OS  OS  OS 


t-  O't'CS  WD 

'rf  ,-^  CO  C^  t- 

0^T-<1-«0 

iC  cot—  00  OS 
CO  CO  CO  CO  CO 
OS  ^  OS  O  Oft 


iC  C^  cs  to  LO  t- 

OS  00  CO  CO  CD  CO 
OS  00  t—  10  CO  1-1 

OS  0—4  cs  co-^ 


^  OS  OS  ^  OS  O^ 


cocsoco  Ococscoco 

irjutH-tCS  OOSIOCSO 

>cscocs-rfi  1— I  01  CO -tr  >£? 

5^^^^  '^^cotcs 

I  oO'-tcO'-r  »o  to  CO  t— t— 

r^ocoooo  0606060006      0606060606 


r-ocoo^oo 

COcoiOj^-CO 

<Z>  ^rM   (JO  C^  -rr 

•<--  cci-«  i^cp 

CO  CC  OS  Oi  OS 


O  -^  ^r  CO-Tf 
t—  O  to  tD  CO 

CO  ^  -^OOCO 

T-<  -r  00  i-« 

OOOOi-t 
OS  OS  OS  OS  OS 


10  CO  00  00^ 
t-  OCS  uo  O 

•«T  lO  "^  cs  O 

CO  lO  r-  OS  i-< 

l-«  W  WrHCS 

OS  Cs  ^  OS  OS 


i0"*10t-<  t 


cscscscscs 

OS  ^  OS  0&  OS 


..^,-(^^ep       OsCSCO"^t 


Si-«  CScO  "^ 
CO  CO  CO  CO 

Cs  OS  OS  OS  OS 


cs  01  i-«  O  iO 
OS  OS  OOCS 

m  to  00  OS  OS 
CO  CO  CO  CO  CO 


OS  OS  OS  OS  OS 


t-  -^  1— t  00  t-  OS 

r-  to  cs  '^  ■*?- 1— I 

CO  I—  CO  -^  cs  o 
o  1-t  cs  CO  ■-?•  »o 
■^  ■^  -^  ■f  "«r  ■^ 

OS  OS  O^  OS  OS  OS 


t-co«-<^ 

J^NOOCS 

3  »o IOCS  10 

I    OOi-ICO-^ 

t^  060606 


CO  «o  cs  OC  tO 

OS  oo^c5  CO 
'^r  csos  10  O 

10  to  tot- 00 

0606060606 


OOi-hOsOCS 
OS  CS»-H  '•r  OS 

coci  t— 1-1  cs 

Soocs  coos 
00  OS  OS  o 

0606060606 


i-iiOiOCs»0 

cocoes  csos 

cs  OnOOr-i 
cs  •*  t-ClCS 

OOOOi-t 
OS  OS  OS  OS  OS 


to-^ososcs 

coco  00  1—"  CO 

coco  cs  ':^  00 

-^cOOOOi-i 
^^  i-4C<lCS 

03  OS  03  OS  OS 


co^tocsoo  coiocscst-  ocot— 1000  OOIOCSOSOOO 

cs— "COCSCO  CS«-»i-OM<00  OSL6r— ^1— I  COCSCOOOQO 

ii^-HCDO-^  QO^^COiOtO  t—  COOCGCCO  t—  tD-rCOi-'OO 

co^coocos  oc^co-^»o  tot-ocoso  »-icsco-^icio 

csc»csc^c^  COCOCOCOCO  cocococo"«r  '^r-^-^^-^-v^r 

OS  Cs  03  Oi  CS  OS  OS  a  03  CS  cs  o^  Oi  cs  os  cs  cs  o  ca  os  os 


COtOCSCStO        OCOi-<CS^^        CO^-t-^^t—         COtOi-li-l'*         cot— 00"*O 


—  O  CO  CD  O        CO  lO 


OSift  CO»H 

io»o»oco  ~— --_  .-_ -  —   —  - 

)Osocoi-t  CO  to  CO  rH  cs  t— co»oos^  OcOcO^C 

5  »0  to  CO  to  lO  CO  O  CO  1-t  uO  Os  CO  o  o  CO»OCOOC 

lOOi-HCO'^  lOtOt-t—  00  OOOOCSOSO  OOO"-*' 

t— 06  06  06  0606060606  COOOOOOCCS  OS  OS  OS  OS  Ci         CSOACSCSOb        OS  9  OS  9  Cs 


CO  Os  t*  OS  CO 
''J'lOt-OQO 

cscscscsco 


O  t—  -"t*  ''f"  OS 

r-  tcos  ooc^ 

2S5SS 

COCOCOCOCO 
OS  O  OS  OS  OS 


cs  10  01 1-  o 

CO  cs  1-1  o  to 
CO  tr>  r—  t—  CO 
t—  CC  CS  o  — » 
CO  CO  CO  -^  -v 

A  OS  OS  OS  Cs 


or--t^i-iocs 

OCcOCSiOuOCS 
»0  *r  CO  1-1  OS  t- 
CSCO-^iOiOcO 

CSOS  CSOS  OS  OS 


cot- t-<o 


moo-^^co 
cs— «oo»oc5 

coo— <  OS  Q 
J  CO  CD -^  CO         CO«!*«— <COC^ 

|CO^HCO"<J<         »CtOt-t-00 

t^o6o6o6     0606060606 


cs  lO  CO  **  CO        lOOSOSCOOS         OOOCOCOCO        OCSOcON 


^--■sco 

CO  "O  CO  1.^  •*,< 
10  -X)  CO  oc  2 


CO  C^  OS  ^  o 
06  06  06  06  OS 


O  CD       OS  cs  00  OS  WD 

OOcO^H  tOOO 

CO  CO  OS  i-<  CO 
OOOi-<— ( 


WDOOCS        OSt— 0»0i0 


^  OS  OS  OS  OS        OS  OS  Cs  OS  OS 


csos  CO  CO —I 
OS  t—  — I  O"^ 

"t*  t-  O  C^  CO 

cs  CO  10  CO  r— 

CO  CO  CO  CO  CO 
Ob  cs  OS  cs  Cs 


OS  Os  OS  Cs  OS 


cs  OSCDCO  CS-^ 

OQO-^  t-  f-  ^r 
-^J"  cs— «  OS  t-io 

CO -^^o  WD  CO  r^ 

OS  Oi  cs  03  Os  Os 


j3  ® 


uoot^ooo    o-2«m;    s2^22    gSSSSS    SS55SS    gS????^? 


liDtOt— 00O>        O— ^CScO'^WD 
COCOCOCOCO         -^^^^fi^j*^* 


iO'^OOCStO        O-^OOCSCO        O"^00CSc0        O^-roOC^cO        O-^OgCScO        O'^OONcO        0"^COCSCO        O'^COCSCO 


p.'O'^OOCStO        o-^ 
feOOO— i-^         CSCi* 


-.fli  ■<*<  "^  *0  WD       OOO^^^H        C*C^CSCOCO 


•"TWDWD         000— **■ 


CSCSCSCOCO 


W5 


TABLE  V. 

The  Finding  of  the  Azimuth. 


[Page  177 


O-^OOWCO        O-VOOC^^cp        O'S'COC^eO        O -^  QO  <N  cO        O -*  OO  C^  cO        Q ''J' CO  (M  CO        O -^  00  W  OD        O"*00C^«>O 
CS<NCSCOCO        -^r -"T -V  lO  uS        OOO^r-.        e5<NCNCOCO        -^-^-^^^oio        000.-H1-I        c5c5o)COM        -^  ^  ■-t«  lO  »o  55 


tOOI^OO  05 


S^^c^rO'^      ^fOt^coOi      Q^fNco-^      iQcor>-oooi      o^wco"**      wjor^oooi      o-hc^mm*      lo '^o  r^  oo  ct)  < 


t^ -H --*  »^  CO         CO  CO  1-H  CO  ^ 


1-H  o  1— I  o  •><»•      coi-H^ioco      r^ioaaoo<N      c^oooc 


Sco-^rco^       i^ojio^co       '•j'r-iooeo       t'coc^c 
cot-*^»0       QOCSiooo.-«       '<rr*^(N-»i"       cpooOr 
CO"^**iOiC         iOtOcOCOt^         t^r-r^QOOO         OOOOOiC 


coOcoco  c 


O^O^OO^O        Oi  Oi  0>  Oi  Oi        0>  Oi  Oi  Oi  Oi 


■f-r-^      ^^^^^      ^^^^^      ^iO"^w^^>o 

iOiOlOiOi        OSOlOiOlOi        O:050S0id        Oi  Oi  0>  Oi  Oi        OiOOiOiOiCi 


CO  r-  r>.  1-H  M 

(N  OicDCOO 
OCO  t^COOi 
CO  CO  CO  CO  CO 

Oi  O)  0>  O)  c^ 


Q0r-<^OlC 


Si-hcocOf-i  r-cot^c^o  c^^^-^-^': 

MC^Ot-*  ,-H  "«5«  "3  »C  CO  ^COCDOOI 

CO-COi-HUO  0-^00(Ncp  OiCOCDOiC 

""  CO  CO  -^  "^  »o  ">*o  CO  ^  CO  r^  ^- 1^  c 


^ 

03  A  O)  O)  o> 


SoQ^COi 


00  ■^  CO  -^  a: 
--jiOCOOi" 
-  -Oi  ^CO  " 


iO»OCOO^ 

^     -i^CO'-- 


Oi  Oi  O'-'  0>  0>         O  O)  03  O)  O^ 


ci  to  oi  oi  lO  on  oQ  tP  00  f^  "^ 

OS  <N  CO  CO  d  CTi  40  O  CO  lO  CD 

OOOOi-<  r-l  i-H  ^  i-H  .-I  ^ 

lO  lO  »0  W5  »0  »0  lO  "0  lO  lO  »0 

0)0^0  03  0  C^  O)  O)  G)  0^  C^ 


PSCOCOt^OO  lO  O  CO  lO  CD 

a>-5«coioc^  t^OQoo-^ 

r-Sooooio  o^csc^co 

CO  CO  CO  CO  'ff  Tf*  "tJ*  ^  ^^  Tj* 


0>  O)  O^  OS  O)        C3  O)  Oi  O)  o^ 


coc^cococD      oococot^io      oar-^HO-Tf 


Oi  OJOOO 

■^  ^  »o  »o  »o 

Oi  Oi  Oi  Oi  Oi 


C^COiO 


C^  lO  »C  •-«  'S' ^  O  "*  CO  o 

•-•  CN»  Ci  .-»  GO  ■*J' Ol  C^ -v  lO 

COOiOw  ,-( <M  6)  CO  CO  CO 

i-H—KMC^  C<1  (N  C^  C^  CS  C^ 

iOiOiOiO»OiO 


coco  OiO 

1-Hl-H   —KM   .   . 

lO  lO  »o  *o  «^ 

Oi  Oi  Oi  Oi  ^ 


Oi  0>  Oi  O^  Oi  o^ 


SQOOOC^CO        OU^QOOi-H        f-l  cq  ■<»' r^  c^ 
C)  1-H  »-(  CO        CO  lO  u?  n*  O        -^  CO  CO -^  i-H 


jcoio^H      oo 

ODO»0&0'— <  »— I  CN  CTJ  C^  TT 

A  03  0>  O)  OS         03  03  O)  0>  Oi 


O)  O)  O  C>  Oi 


aor>.coco-H 

lO  00  C>01 1^ 

i-H  «0  OS  CO  t^ 


COOOGOMO 
CO  t^QCM  C^ 

fH   -^  oo  i-H   ^ 

O  Oi  OS  Q  O 
■^  Tt«  ■fj' to  *0 


l-^CSCOQO       OiQil'-'^O 

r— ajiMTP<u3      QOOCN"^co 

»OiOiO»OiO         iOtO»00»0 


0>  Oi  Oi  Oi  03 


Or^QQ'O  OSOiiOOiXiO 

■^COOOOOcO  COO>'^t--OiO 

r-00^Or-<  C^  C^  CO  CO  CO -'T 

c^cscqcoco  COCOCOCOCOCO 

lOiOtOiOiO  »0»OiOiO*0*0 

Oi  OiOi  OiOi  Oi  Oi  Oi  Oi  Oi  Oi 


SCOCOOi-H  COCOCOOOO 

CO  •-•  00  lO  M  OO-^OCOM 

OlOO«-HCS  (MCO-^-'i'iO 

0>  O  O)  0>  O^  0%  OS  03  0>  G) 


50(MiOO        cOtOcO^Os        *-^c 


t^COiOCOOO 


OQ^C^CSIOi  CO-SCOO-^  COOUOOi^  C^C^Ot 

,-(cOO'3'I>'  »-tiO00<-H-V  h-OCN-^t^  01»-(CO'<T"iJ 

COOO^CiOl  QOQ^'-'  .-«CSC^C^CS|  5lCOCOCOCO 

■^  ■^ -^ -^ -^  i?5  lO  lO  lO  to  to  to  to  >0  to  lO  tO  tC  to  to 


O^  O^  OS  0&  OS        OS  OS  OS  OS  OS        OS  0>  OsOsOs        OsOsOsGSOs        OS  OS  OS  OS  Os 


^^SSSS^"  i^i^cor-coco 

<OgiC^<0  Oi  COiMt^OC^CO 

t^  C30  O  — (  <-H  CS  CO  CO  T  ^I*  -^ 

CO  CO  ■^  rf  ^«J'  T?<  Tjt  ■«* -Tf  ^f  -^ 

to  >0  to  to  »0  to  to  to  to  to  40 

OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS 


OsOC^iOO 


>tOCDi. 


lOS         ^C 


''cor^      r-cotoffoco      ootocooo-- 


CO  OS  Q  O  OS 


t~- 1*  CO  r^  CO  CO 


ooc^-^-^1— <  tocoooSc^  coososr-"^  o6.-«c^mos  coScot^-^t*  co25'^oi«-<  <Noj^r    .,       ^ ,,^ 

CO^OOiOC^  00'-rQO<N  t^(Nt^<N^-  i-HcOO'^r^  .-ttOOO^'^  t^OlM'^t^  OS^COTTCO  r^OO'5— '^  CSCOCO-V-V-^ 

O  1-H  ^  C^  CO  CO'^'tOtOcO  CDr^r'-OOOO  CSOSOQQ  1-1  ^  .-H  (M  C^  04COCOCOCO  60  n* -*f '^  ■<*■  -q<"T'OtOtO  tOtOtOtOtOiO 

■-^•^^■^•^  TT'^'^-^'^  ■^TT'^'^'^  ■^■^lOtOtO  lOtOiOtOtO  »OtO»OtOiO  tOtOtOiOO  tOtOtOiOtO  tOiOtOtOiOtO 

OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  O  Oi  OS  OS  OS  OS  OS  OS  OS  Cs  OS  OS  OS  OS  OS  OS  0>  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS  OS 


r.i-ii-Hio<o  cooOi-Hco"' 

tOOCS'-HCO  COtOOf  < 

CO.-<QOtOi-i  CO-^OCOC 

^M<MC03J  -^ftOCOCOt 


-OOOOCO         "^0-««COOO 


it^Qto  i-*0'-<^'*  coi-ii-Htoco  r^ioosooc^  c^oooc 

>cOio<-i  CO^O^I^  COCOi-hCSCS  Ot~^CSCOOS  O  <^  00 '^      _  __         _  _  

It^rC^t^  .-HtOOCOt^  f-H^OO»-*"^  t^OSOJ-^cO  OsQC»<"^(S  t— COOSO.-H  C^eOCOCOTy^j" 

5  OO  OS  OS  O  Q  *-H  1— ifH  C^  C^  iM  CO  CO  CO  CO  tt  tT  "n"  ■***  to  to  to  to  to  to  to  CO  CO  CO  CO  CD  CD  CO  eo 

■*  ■*<r  ^« -^  tO»OiOtOtO  tOtOtOtOtO  tOtOtOtOtO  to  to  to  to  to  to  to  to  to  to  to  to  lO  to  to  to 


OS  OS  OS  OS  OS   OS  OS  OS  OS  OS   OS  OS  OS  OS  OS   OS  OS  OS  OS  OS   OS  OS  OS  OS  OS   OS  OS  OS  OS  OS   OS  OS  OS  OS  OS   OS  OS  OS  OS  OS   OS  OS  OS  OS  OS  OS 


t^,-I^HlOCO 

Otor>.coco 
eoot^'<*«i-i 

CJCO  CO"V  to 
OS  OS  OS  OS  OS 


OS  OS  OS  OS  OS 


rH  O^CO"^ 

►-• -.J1  to -rr  cs 
i-H  to  o>  cor^ 

rH^^CSCS 

H-*i«iot5        iOtOtOiOtO 

OS  OS  OS  OS  OS         OS  OS  OS  OS  OS 


CO  *-«  ^  tOCO 
^  CO  CD  r^  t^ 
O-^  r^  Oco 

CO  CO  CO '^  '^ 
to  to  to  *0  to 

OS  OS  OS  OS  OS 


r^toosoocs 

coos  1-f  -q"  S 
TP  TT  lO  tQ  to 

to  to  to  tO  to 


CJOOOOOCO 


<COOStO        OSCSCOCO»-i 


to  to  »o  to  to 


Ososososos      ososososos 


COOCOCOOS 
TCOCOr-l 

I  OS  O  ^ 

35  to  to  to  to 

OS  OS  OS  OS  OS 


CSCS  OOCS  ^  CO 
OS  to  OS  CO  to  to 

-H  cs  6)  CO  coco 
to  to  to  to  to  to 

OS  OS  OS  OS  OS  OS 


CO  t^r*^  cs      osi-ii 

CO^-OSOSCD         O  CO  c 


CO  CO -rr  toe 


Oi-HCOO  w 


J^tO  Q'-  --  -  -  _ 
soo^^  CSCSCSCOCO 
■♦tOtOtOtO        tOtOtOtOiO 


•  h- — <  OS      CO '— <  lo -^  00 


Oi  OS  OS  OS  OS   Oi  OS  OS  Oi  OS   OS  OS  OS  OS  OS   OS  OS  OS  OS  OS 


.-H  IOC 

O  CO  CC3  o  cs 

-^  -^  -^  tft  to 
to  to  to  to  to 

OS  OS  OS  OS  OS 


OS  OS  OS  0>  OS 


00  ^  CD  -9«  OS 

t^  t-  to  cs  t-- 
r-*  OS  1-H  CO  "T** 
cDcDr^r^r>- 
tO  to  to  to  to 

OS  OS  OS  OS  OS 


OS  CO  OS  OS  tO 
rH  -V  tfttO  ■a* 
CDt^OO  OSQ 


iO  to  to  to  to 

0>  OS  OS  OS  OS 


00  00  Tt*  00  r^  -rf« 
.-H  t^  cs  to  r-  CO 
.-« ^cs  CS  cs  cs 

00  00  op  CO  00  CO 
lO  tO  tO  tO  to  to 

OS  OS  OS  OS  OS  OS 


r»^i-(toco 

COCOQ  CSCD 


OS  OS  OS  OS  OS 


CO  tOf-ti-c^ 

^  cO'^c^ob 

COCSW-V  OS 

r-  00  CO  OS  oa 

■^  ■^  -^  -^  Tf 

OS  OS  OS  OS  OS 


'^  to  r>- O  to  .-H  O '-' CO  Tp 

cs  ■g* -^  CO  OS  -^  t— 00  r-- to 

SOtOQ-'J'  OscOt~-i-HiO 

^.-|?5CS  CSCOCOM''* 

lOtOtOtOtO  lOtOtOtOiO 

OS  OS  OS  OS  OS  OS  OS  OS  OS  OS 


^':i'-^^'^      ^*^'Si'^'^      c^ioooooco      cooeocoos      escsooM^c 


■^  to  to  to  CO 
to  to  to  to  to 

0>  ^  OS  OS  OS 


oo  to 

3r»  tj  cs  ■T' 

to  »o  to  to  to 


to  to  to  to  to 

OS  OS  OS  OS  OS 


OS  OS  OS  OS  OS 


to  to  lO  to  to  »o 

OS  OS  cs  OS  OS  OS 


OS  CO  CO  t^  00 


5  tOCDt^t-^ 


to  r>-  CO  CO  CO 

OS--ICS  OCD 

'■s'^t^eoco 

CO  OSOSO  o 
TT '^■«r  toto 


sr^osc^t'-      cocscococo 


^  ^c^csco 
to  to  to  to  to 

OS  OS  OS  OS  OS 


iO  to  5  to  to 
0>  OS  OS  OS  OS 


00  CO  CO  r^  to 
OS  '«j'  r^oooo 
r* .-» ^  t^o 
tO':DcDcpr^ 
to  to  to  to  to 

OS  OS  OS  OS  OS 


ost-» .-« o  ■^ 


<OCSO>0        lOCStOtO^ 


CD  CO  ^  CO  to    CO  ^ -^  *-H  CO    O  CO '<*' M*  CO 


CO  CO  Ob  .-H  CO 


00  00  OS  OS   ososososos 


lO  to  tO  tb  to   to  to  to  to  to   to  to  to  to  to 


OS  OS  OS  OS  OS   OS  OS  OS  OS  OS    OS  OS  0>  OS  OS 


to  toe 

OS  OS  OS  OS  OS  OS 


to  CO  t--  do  oo 

OS  OS  OS  OS  OS 


COCO  ■^  "^  t^ 
tOt-  00  CDCS 

CO  OS  to  ^  r^ 
OSOSC?  -H  f-i 
■^  -^  to  tO  to 


OOOCS— <tO         tO^COiMCD 


s  CO -n*  •r       coosto^*-* 


sr-cs 


r--coocooo  ■^co'^j'osr*  os-^'tf'OOco 

coooost^co  c©  r->  cs  ^  OS  tooco-n*-^ 

csr^csr-*cs  co.^tooscs  <oococdos  cs-^t-^^cs  -^cod&ost^  csicot^-  — - 

c^cscoco'^  ■^totOtocD  cpt^r— r-t—  oooococoos  ^osooso  •POQC'C 

tOtOtOtOtO  tOtOtOtOtO  tOtOtOtOtO  to»OiOtOtO  iOtOtOtOcD  CDOCDOC 

ososososos  Ososososos  Ososososos  OS  OS  OS  OS  OS  Os  Os  OS  Os  OS  OS  OS  Os  Os  Os        OS  OS  OS  OS  OS  OS 


OS  OS  OS  OS  OS 


OOOcOcpOs 
OSCS  cs  Q  CD 

^go-^Oto 

So— <  cs  cs 
lO  tO  to  tO 

OS  OS  OS  OS  OS 


SOCStOO        OtOcp—iOS        — <OCOOi:>?              _ 
CO  CO  •-»  CO        cs  to  O  tC  CO         O  M«  t^  OS  CO        f^ -^  OS 
i-HCO—»CDQ        tOOSCOr— — I        tOCOf-HTft—        


OS  OS  OS  Os  Os 


-  coc 

to  to  to  to  to 

OS  OS  OS  OS  OS 


cs  O'^  cor^ 

"  -^  OSC"  " 

CO  toe 

<j>  Osos  <: 

to  to  to  tO  c; 

Os  Os  Os  OS  OS 


t>.COtOCOOO    qOtOOOOO'^  1-*  t^  CO  r*  CD  CO 

„        Oco-^-^co  QcO-HT»«COt-- 

i-tcsco"^to  OOt^r^t^b* 

CO  CO  CO  CO  CO  CD  CO  CO  CD  CO  ^ 

0>  Os  OS  OS  Os  OS  OS  OS  OS  Ol  OS 


OS  OS  OS  OS  OS 


D  to  coo 


0>  OS  Os  Os  OS 


oor^QQco^ 

■«*  t--00  00^ 
-^lO* 
)  r>- 1^  r^ 
)tOtO  to 

Os  OS  OS  Os  C7S        0>  OS  Os  OS  OS 


OS -^  OS -t<  OS  cor* 
CO  "* -^  to  to  cOcO 
lOtOtOtOtO        to  »o 


CScp^i-H^  Oi:D<-HtOr^ 

COgOSCOcp  00  ■-«  ^  CD  00 

GO  TO  00  (^  ^  OS  O  O  Q  Q 

to  tO  tO  to  to  to  CO  CD  CO  CD 

OS  OS  OS  OS  Os  Os  OS  OS  OS  OS 


^tOt^iOO  Qt'-OOcp  OSOStOOSOOtO 

*  00  CD  CO  OS  COtQt*t-tO  cs  00  CO  CD  oo  OS 

OCS^^CDt—  OSQ«-«MCO  TH-^tO'OtotO 

^r^r~t  ^*~i  — t^CSCSCS  CSCSCSCSCSCS 

cDcDcOcDCO  cDCDcOcOcO  cDcDcOcOcDcO 


OS  Os  OS  Os  Os    Os  OS  Os  Os  OS    OS  OS  OS  Os  OS  OS 


tOCDt*COOi        O—iC-ICO"^ 


to  to  to  to  to 


tOcDI^OOOS        O -H  CS  CO 'J'         lO'^t-^CO 
iOLOtOtO>0        ^  CO  CD  CO  CO        COcDcDCO 


<5      o^csco" 


t^t^t^t>-t>-      r-t^t 


toco  t^  00  OS 


OOOOOOOO  0000000000^ 


g8SS2S    g 


55901°— IJ 


CSCSCOCO         '^  ■«!»''*  to  t" 


8'^OOCSCD        O'^QOCSCO        O-^OOCSCp        Q -a*  00  CS  eO        O  ■V  00  CS  CO        O  ■^  00  CS  cD  O 
OOi~«^         CSCSCSCOCO        -^-^-^tOtO        OOOr-1— 1        ^CSCSCOeO         -^'^"'^tOtOO 


T3  ®  C3  $ 
0!  7  »,  S 

saga 


'^  VI 


1 

3 

O 
IS 

c 

O 

a> 

^ 

9 

"A 

9 

■^ 

^   ft 

a 

o 

a 

o 

S 

o 

« 

an 

^ 

2 

H 

.52 

T) 

ft 

■§ 

rl 

a> 

^.n 

n 

t^ 

> 

<D 

g 

a 

a 

Sf 

03 

u. 

c. 

■«  ftMa  S 
°  «  9  fc.  P 

§0^55 


OS'S 
•  o  a> 

"sSa 

®  <a  3 

sB.a 

03  m  3 

2  ^  « 

-  °'" 

a-TaS 
Oh" 
i  5?  «J 

^  -tj  .^ 

3  S  » 


■B  g  S 


B^g 
o  B 

a® 

2  ® 
bB 

.a  OS 


B  «' 

>f '^ 

■^  3 

,2~ 

0)  a) 
Bt; 


is 


03  '^ 
Q  A 

5® 

«il  :§a 

sis, -I  2 

fj      ©  cJ  a)  aj 

W  O  ®  ®  ®  0 

5|£aaa 

S->S  bSS 


Page  178] 


TABLE  V. 

The  Finding  of  the  Azimuth. 


g  M 

a5 


gO-^OONcO        O'^OOC^cD        0"^OON(0        O-^OOCflO        OM'OOC^'CO 
_000'-H»-t        C^C^WeOCO        '^-<j«'V*r3io        OOOi-tt-i        WCSWCOCO 


"OOO 


SM'QOc^cD      o -^  CO  c^»  o      OM«ooeqco 
p'-'TTricio      ooo<-f»-<      csc^cscocc 


iO<Ot^00O5        O^^C^CO-^        lOCDt^CCOJ        O-^CNrt-^        lOCOt^QCCn        O— ^CSrtM*        lOCOt^OOO        o^orc 
^^^^^        ^^^,-1^        040^040^  CS        C^NC^C^CS        COCOCOCOCO        COCOCOCOCO        -^^^r'^-^r 


8r- 1;  o  ^i» 

I   *O00O  •-<        CiCQ 

t^r^odoo      0006060606 


;3SS3 


0000000000         0000000000        0000000000        OOOOOOOOd 


CO  Oi  C^  CO  »0 

00000 

O^  Ci  Od  Ci  c^ 


h-O-^rC^iO 

3 

CO  I-  t^ 

00 

O  O  O  O  O) 


«-<  CO  est  t^       01 00 

_  !>.  t^  t-  CO         U^  -V 


10  c^  Oi  cc  >o  r* 

CO  CO  CO  CO 

CO  r-i  Ci^-- 


o  03  o  Ci  Ci  o^ 


■<  t^  CO  o  r^      »-( " 


CSCOC^         TJ'OOOOC^OO  05t~»C^NiO  OlOOCiiO»-H  i-HCC»0»00  COcOOOOrH  1-tOOt 

ScOCSCOd  COcOOiC^CO  C^^-tCOCi^  CO-— iiO^^OS  OiiOOOCOC^  -^c^c,         -.  

iO'-<"?t^  OiOiOOl—^t"  »-*t—  C^COO  ■^r--.a)'-"C<  co-r^J*'?'-^  coC^OCit—  ^r 

_^.    -*_v_,  oc^M*  ot-*d^c^  c2"^»ot^oo  ^0>-(wco  "^lOcocor-oC' 


'  CNgO^.-«o6 

..-.-•^^i.-        i-iOCSt^M        f-»-HtO00.-H         M^I—  OC^^J*        COOQOC^M'         Ot-^OQC^        COM«tOt^00 

|»oooo»-(      wcO'^'^iO      locococot--      t^t^oooooo      ooooososoj      osoioioo      00000 
t-^r^o6o6      0606060606      0606060606      0606060606      0606060606      o6o6o6oo>      cioiosoioi      oiooJoJoi      oooicioioi 


lO-^'-Hoooi      »o^cot^a>      ooiO'-<"? 

"     -M        f-»-HtO00.-H         M^I—  oc^ 


8c»  03  ou  cc 
CO  -^o»o 
,    CftOi  t^  Oi 

»oooo«-t 


oscqooioM 

CO  CO  0>  CO  '^ 
CS  <-i  1^  *0  CO 
CR  t^  CO  Oi  -^ 

C^  CO  -^  "^  »o 


OS  CO  CO  t^  CO 


Oi  CO  CO  O  CO   CO  O  1-H - 


■<*«c^r^i^O  M'cO'^Oco  cocooo»o  oo^-^uoeoo  cocoor^ccoC' 

f-H -^  CO  03  ^tJ*  O  05  •— '  r^  CO  O  Ci  CO  CN  !0  Cp  CO  lO  ^J*  05  *-«  O  CO  QC  00  lO 

Cp  CO  10  CO  •-•  00  CO  05  CO  t^  i-t  CO  CO  00  01  O  ^H  ,-H  .— I  O  O  O  t— lO  CO  *-• 

ogOiN'^co  t~-oioc^co  iocoi~c»5o>  1— ic^co^rio  cOcOt-^OOOiO 

OOOSCSOIOS  OOiOOO  00000  ^^  r-(  ,-H  ^-(  ^  ,-1  ^  — ( -^  F-i  Cfl 


t^t^OOOO  0000000000  0000000000  OOOOOOOOOC  0000000000  000005050*  050>0i0S0i  OSOl050lO>  03050505050 

8u5'-<05t^  OC^OOioC^  cOOit^OOf^  OiCOcOt--CO  'S'C^t^r^O  '^CO'«1'OCO  cOCOOOiO  00^-iiocOCO  cDCOOt^cOOO 

Q005t>-  ■»J'n'Ot^»Q  OOr-OCSOO  i-H4Oi-(.-iq0  (M^QI^QiO  ^^QC^OOt^  ^O'^T'cOt-^  t^'S'cOiOO  CN'-^t^OOicO 

Ot-<co»-*  oot-TpfHC^  r^oOcoOi-t  i-toOM'ooO  Moqi-nOr^  ^«"0i005co  r^-ocs-^io  co^-^--t--^^  co»oco«— last^ 

,T-t--«OO^H  OOOiOi-HtO  O-^OOC^iO  OOOCOUOOO  OCS-'T'COI^  OSi-lC?COfO  cOCCOiO'-"  CqcOrriOCO  t^OCOOO-^ 

|C0050<N  COCO'^OlO  cOCOCOt*I>'  t-OOOOOOOO  Oi050>Oi05  05  O  O  O  O  O  O  O  r-l  r-t  ^H  i-H  f-I  i-l  ,-t  ,-|  ^  ,-i  C<l  CS  O 

t-^t^o6o6  0606060606  0606060606  0606060606  0606060606  o6o>^^05  O5^05o5o5  o>oso5»oi  c^^oiooioi 


00  .-4  t--  ■^  rH    lO  CO  CO  t^  CO    00  d  C^  CO  C^    CO '-'  CO  CO  05 

Oi05»OCSO        COC^iOt>-CO        cOOcOcOCO        t--ocs»o^ 


CO  c^eo  OiQ 


»0  C^  Oi  05  *^        t^  O  ^r  C^  UO        ic  C^  OS  CO  I 


iOco<Ni—  coc^ot-oo  cO'^'-'^^t^  co-^oscoco  r^oor^iocs  OiQOioo  c^ior-o>'-<  csc^cococs  <— iO05t— loco 

,csc>^oc^  c5oco(Mt^  c5coococo  osc^'^t~-o>  ^^coioo-o.  oc>)-rr>ioco  oooso^co  'fl<40cDt^oo  osoo-^c5co 

|c005i-hC4  CO  •*!*'*  >0  10  COcOt^t^t^  t^OOOOOOOO  05  05  05  05  05  OOOOO  O  O  <-<  <-"-l  ^h  .-t -h  ,-h  ,-1  i-t  cs  c<»  c^  cs  c5 

t>t>o6o6  0606060606  0606060606  0606060606  0606060606  05^050505  050505^05  05^05  03  05  05  05  05  05  0105 


ocgooo  oeoo5coco 

o^t^C4  oor^'S'C^c^ 

.--^"■^T-lTfJ  CO-HOO-^OS 

|c005»-tC^  CO-^"^»OiO 

t>^t>^o6o6  0606060606 


t^  000  05  0Q 
CO  05C0O  C^ 

cor-  ^^lOoo 
cocor^r^r- 

0606060606 


.-HOO 

i-H  CO    _ 

00  00  OC  00  05 

0606060606 


-«*<        lOCOOO  CO  f-* 
C<         CO  051-I  M<  03 

__  1-1   oic^c^ot- 

CO  »-H   CO  10 1--  gs  O 
03  0  0 


O  cs  CO  Tfr 


t^-m-4  0C  I 


■(  00  005 

-r-oot^-    ^-_-,, 

io  CO  r^  00  o   o '-' N  CO  "^  *?■ 


1-4  0C  r^  O 

CO  to  »— •  CO  CO  O 

—  — ^  cs  c  00 


10  ^**  Id »— <  t*  r^ -^  ^^  .— I  CO 

10 'T' CO  e^  >— '  lO'^cot*'-' 

■^OtoO'T*  r^  o  (N -^  CO 

C^-^iCr--O0  Q3— <(MCO'^   -.  „. .. 

00000  O-lfH,-)^  ,-lr-<^rHi-l  C^  CS  (N  CS  C^  W 

O5O5O50505  005030305         05  05  05  05  03         05  03  03  05  03^ 


coc^ooo      ocoococo      t>.ooo«oo     o-^-^oo-^ 

OOOOOOiO  COtNOOiOCO  COCOOOOCO  OCOOOiCD 

'sr  lO  1-H  CO  CO  CS  00  CO  t^  C^COOiOcO  CO  CO  00  C?  lO 

10  O  CO  »Q  10  CO  05  O  O  no  05  CO  CO  Ol  C^  iC  t^  O  CS 

■  '"^ -     -  000000003 

0606060606 


CO  CO  00  O  CO 
_       c^co 

Y  10  O  CO  »Q         10  CO  O  O  O         no  05 
|c005'-HCS        C0'^'<riOcO        cOcO 

t^t^o6o6      0606060606      0006060606 


10  CO 00 00^ 

O  CO  u?  00  CO 


05  OS  OS  O  O 

06  060603  OS 


f-(  t-   b- ^  .-H  1-1  CO   OS  P^  CO  tp  r-- 

CO  10    OS  CO  CNJ  i-<  »0    lO  CS -^  CO  00 

ior--ooo5      »-4C^cO'^co      t'-ooosO'-H 


c5oooo 

OS  O  05  05  O 


03  05  OS  OS  05 


OS  OS  05  OS  O 


t^  -f  -^  00  r^  OS 
O  O  10  r-  t^  ^r 

--t  OS  CC  CO  'TT-  CQ 
CN  C<l  CO  "^  »0  t© 

csc^  csc^CM?5 

O  05  OS  05  OS  OS 


CO<NOOO        OCOOSCOC 

{0003100      r^cocsor 


|coos«-ics      eo-^ioioco 


t--000000        O  Tf -<**  00  ^J* 
»0  10  t-- OS  lO        O  C^  00  00  lO 


CO  -»"  r-t  t-  W  coo 


cot^-^ooo      osr-c^coos 

COO'^r-rH        cocoo.-<co 
COt^t^t'-OO        000000OSO5 


»oeoooooi-< 

§cs  -^  t^  cs 
rococo 
coco  O  ^CO 

ososooo 

06  00  05  05  OS 


'*"'-<  CO  c^r- 

SSS2S 


t^  ^rr -^  cc  t*  Oi 

OS  00  ^I"  CO  CO  CO 


r^^-OOCO      0000000000       oooooocooo      oooooocooo 


O  O  9  OS  05    O  OS  O  OS  05    OS  OS  OS  OS  05    OS  05  OS  05  OS  O 


OcD-^c^  Mfl^COOr- 

!c<ir-ii-ta>  coioc^osco 

C^COOSCO  OOSCOCO"^ 

OOOOiOOO  OOiOC^ODCO 

CO  OS  «-<  c^  CO 'no  ic  CO 


00  00000000 


^-^c^coc? 
ooooc 
oocsi."  ' 

06  06060606 


S^  C^  "^  o 
000  c^-^ 
00  cs  »o  OS  c^» 


*  00  00  C^  00 
SC0CSC0  03 

sOcooc^ 

S  OOOCOiO 
5  00  OS  OS  OS 


CO  CO  OS  CS  CO 


ososooo 


05000510^-1  ^H00<NiCO 

C4  >-•  CO  OS  05  CO  1— <  lO  ■^  OS 

COC^r^rHlO  OSCS"<J"COt^ 

800  OS  »-H  Cq  CO  lO  CO  t^  CO 


COCOOOOi-l  i-(00lOM-HCO 

O51O00COW  ^CSOC'1— — 400 

00  o  OS  OS  OS  00  r*  lO  ■<?*  CI  oa 

osOi-tcsco  -^iocor-ocoo 


0000000000        0000O5OSOS        0S05CS0S0S        05050SOS05        OS05050SO        OOSOOCSOS 


;::;?5 


■(J«t*CO  O  h- 
COlO  CS  OS  CO 

coc5  osco  t^ 
OS  r—  CO  OS  ^' 

CO  "^iO  10  o 


i-t^C^C0<N 
003  04^0 
coco  1-H  10 1^ 
05C0  b-  OCO 

cot^r^oooo 


-^ooooc<»oo 


CO  OS  t~i  TT  CO        00  O  Ol  •'f  c 
OOOOOSOSOS        05000C 


OsCOOStO'-l  ^OCMiCO 

C^  1— <  CO  OS  OS  CO '-' ^  ^J*  Q> 

OS  iO  O  *r  CO  c^  u^  r*  OS  O 

r^gs^^c^co  iocoi>-ooo 


t>-t^oooo      0000000000      0000000000      oooooocooo      ooosooso 


505  OS 

.    _5  -r  CO  ... 

-gs^^c^co  iocoi>-oo( 

O  05  OS  O  05  O  05  05  05  OS 


COCOOOO»-i  1-1  00  IC  Cfl  1— t  CO 

05  10  00  CO  C^  TT"  M  00  >—«.—'  00 

i-<(NC^CSC^  »-iOOOr-iOC^ 

rH  C^  CO  'f  »0  CQ  t^  t^  00  05  O 

csc^c5o«c^  cic^c^csc^ro 

O  OS  OS  O  O  05  O  OS  05  OS  05 


OcD-»**w      ■^t^coor^      i-< ' 


-^00  OOCl  00 
OS  CS  00  OS  lO 
00  CO  1-1  iC  00 

r^ocoior- 

00  05  05  OS  05 


SOOSb-iO        ^H 


OS  00  OS  lO  »-<        T-H00C^>OO 
'*■ i-iOiQ 

O  c^co 


00  I^  05  »0  uo 


5  o  cs  CO  ^o      CO  r- OS  O  i-( 


coco  000 -^ 
10  ^  -^  c^  00 

"(J"  o  »o  *o  "^ 
CSCO  -^IQCO 


<-«  00  iC  C* -H  CO 

O  00  TT  h- r*  --j^ 

T  CS  •-<  OSt^iO 

r-ooosooi-t 

C^M^CSlCOfO 


-000000        0000000000        0000000000        0000000000        00O3O5OSOS        005050S05        OS005050        00500S05        03C5CS0050 


ocO'it'c^      M^t^coor-      i-<  " 


0  c^<N03C^ 

1  r>-Oi-«co 

t^  06  06  06 


3C005lO»-<         T-<  00  e^  IQ  O 


i-<M'MCOC<I  TJ*OOOOC^OO  osi^c^c^w?  QSCOOSiC  --     ^_ 

,.. ,       001—  ocqoo  1— (■^O'-tt—  .-iTTt-o^  oos'-^i^-r-  .— toscowt— 

001- -*^c^      t^-oocoOi-t  ■^oo'^ooo  cqcN»^or—  -^osiooseo  r-osM-^io 

•-<  OS  CO  c^  r-      —<  lo  OS  CO  CO  os'-t^rcoos  i— ico^t-oo  O'-hco-^co  r- go  o  i-h  c^ 

Tj' -'J' iO  CO  CO        t-t— t-OOoO  OOObOSOsO  OOOOO  ,h  ^  1-1  »-t  i-(  t-i  i-<  CS  CS  C^ 


0000000000        0000000000        0000000000        OSOSOSOSO        OSOS060305        oosooos 


cocooeo^  ^H  00 10  c^ --*  CO 

1—000*^0  C^  O  CO  OS  OS  CO 

COI—  t—t-t—  co-oco»-<ot-- 

CO  "^  lO  CO  r-  00  OS  O  *-< »— c^ 

C5C^C5<NC^  CSCSCOCOCOCO 

0005030S  OSOsOSOOsOS 


'^oooco  00  1-1  r- ■»*«  1-1 

oooor-io  c^c^ooioco 

S^cqooco  ooiocon" 

COCOOCO  coot-coco 

It— OC^CO  iJ'iOiOCOCO 


1-000000      oooooocooo 


10  coco  t- CO 
CO  uo  00  O  CO 

05  O  t—  Cq  CO 
CN  t-  O  TT*  t~ 

t—  r—  00  00  00 

06  060606  06 


00  C^C^  CO  c^ 
OS  CO  O  OS  CO 
CjOiO  osc^ 
O  CO  »o  t—  o 

05  OS  05  d  O 

06  06060605 


8WCO  coo 
coo  00  Ol 

(N  "^  OOoS 
OOOOO 
O  OS  O  OS  OS 


CO  (N  cooio 
O  OOOiO  uo 

10  ,-,  r-  1— ( 10 
1— (  CO  -^  CO  r— 


OS  O  05  OS  O 


10  CS  C0  03  M* 

OS  00  f-H  O  0 

00  — (  -^CO  f- 
COO^  (MCO 
1— I  C^»<NCS  C^ 

O  O  OS  OS  o 


I—  0^**C^»0  OC^OscOiOt- 

Sc^Tjicooo  cDosTTt-r-**" 

O3OSOS00  OO'^iOCO'— "OS 

•^  tn  CO  r- 00  o  O  — «  c^  CO  CO 

c^  cq  c 


i«*«ooocp      oo-^r-Tj"i-i      »ogocor-cD      oo  c^  c^  eo  c^      ._ 

^      t-r-eoooo      rHpcoiOi-H       -*»«  oo  "tp -^  ^h      loooScot— 

1-i^oscoio      ■'f^t-i-tTr        - 


)CDO 
uo  »o  O  CO  O 


CO  c^ cot 
Tr<cO"5< 

;=;        <N  • 


s  10        10  C^  OS  O  M< 


h~  O  fNiO 
O  t—  OS  00  CO 

OOOOO 
CO  t-  00  c 


gco-^Oio  i-(Ot-uo»o  1-i^oscoio  ■^1— It— i-«Tr  fcQ»oocoo  t— coooeot-  Ocoio 

^-rfc^-^  M'c^^oo^»'03  '«j«oOi-<iooo  i-i'^coos'-f  eoujt-Oi-i  c^*?"ior— 00  Oi-<cncom«  cot—  oooso 

|t-OC^CO  -Tj^iOOCOCO  t-r-000000  ososooo  OOOOi-H  ,— c  ^  ^  i-<  ^  CSC^<NC^C^  cscscsc^co 

W060606  0606060606  0606060606  0606060605  O505O50505  030505C50  OS  OS  OS  OS  OS  05  03  OS  OS  OS 


10  C^  05ec  ic  t 


CO  CO  CO  ro  CO  CO 


OS  O  OS  O  O  O 


g'g) 


iOcOt-0003        Or-rC^CO' 


locor-ooo      o^csco^ 


jcor-ooo       O^^c^cO" 


lOCOt— coos         O^^C^CO" 


lO-^aOC^CO        O-^OOC^CD        O-'J'OOC^CO        O-^'OOCSCO 
:ooo«-t— I       CSCSC^COCO        -<*"<»<  ■*I' 10  kO        OOO-H.-* 


CJC<C<C^CS       cs  cs  cs  c^  c^      cococococo      cococococo 


o<  c^cscoco 


OOOi-<i-H         NWC^COCO 


TABLE  V. 

The  Finding  of  the  Azimuth . 


[Page  179 


O->f00C^<£>      o-^ooc^tp      Q3;goc^co      0"^COC»CO      o-^ooc^cp      o^qowto      Q'^coe^to      o-vcoc^cpo 

C^C^C^COCC        TJ" -^ -itr  O  »0        OOOi-t»-t        C^C^C^COCO        -V^f^iOnO        OOOi-Hi-t       cSwc^coco        -v^-^ioioo 


ssoco  ^      i>-r^ 


0'-*c*^co-^      »oor^oops 


I- 1>.  r*  I'-  f^ 


tctor^oociO 

OO  CC  00  00  00  o 


C^OSO^OdO        OSOC^OO        OOO^O^C:         O  O  O^  Oi  o 


^tOCiC 

r^r>-  ooc 

Od  Od  O  Ci  Oi 


c»oooooco 

cs-^ooooi      i-tc^co-^^o      <c)tof*r^t^r^ 

_     _  OOOOO 

IWCO        CCOeOCOCO        CCCOCOCCCO        COCOCCCO"VPO 

0  0  0)03  0^         O^  O  A  O  Od        C3  OS  OS  Oi  O^         O  O  OS  OS  OS  o> 


05-^  r*  050 

lO  00  00  CO  CO 

2Spf  " 


03  C3  O^  O)  o^ 


OtMCOCO^ 
CO  CO  00  00  00 


F^t^oooooo 


CO  Q  CO  lO  "^ 
Oi  Oi  Oi  O  O 
C4CS  C^  COCO 


C^  O)  O  Od  O       O  Oi  OS  o  o^ 


COi-HlO-^  00 
COO>OO^H 
OOt-i  co»ooo 

CO  CO  CO  CO  CO 

OS  OS  OS  OS  OS 


c^  «  or^cM 


"** OS  oso^osio  00 oo -n*  00 r^ -^ 

-      --         'OOCS  «3C^C*001CO 

.-      --            J^-HWN  c^S-^-^io^^io 

04C^C^C^C<I  C^<NCOCOCO  CO  CO  CO  CO  CO  CO 

COCOCOCOCO  COCOCOCOCO  COCOCOCOCOCO 


OS  OS  OS  OS  OS        OS  O  OS  03  OS        O  O^  OS  OS  o>  T* 


ooc^McOr* 
^  ^cocoos 


COiO  CO  TT  O 
O(N00-»J«Q 
CO-^  "^  lO  CD 

O  OS  OS  OS  OS 


»OcO  00-H  CD 
-rr  O  CO  iC  "-H 
lO  O^O  Q  "5 

5p  t^  r-oooo 

OS  OS  OS  OS  OS 


ci^c^  t^iO 


00  05  Oi  _  _ 
OICSCS  COCO 
OS  OS  CS  OS  CS 


SS    8 


r^c^c^cD-^ 

-  OOi-'  C^l  C^) 
C5  COOS  CN 

COCO  CO 

OS  OS  OS  OS  OS 


OOCDOOSCO 
Ot^  CO  to  OS 


OS  OS  OS  OS  OS 


CO  OS  1—1  OS  ■■ 

O^oo-'j'*: 
r-  00  o  CS  -- 

CO  CO  •fj'  'SJ  "(J* 


COCOOSCOC^O> 
■^  O'^OO  oo 
OfH  w^<NCS 
lO  lO  lO  »o  lO  »o 

CO  CO  CO  CO  CO  CO 
OS  OS  OS  OS  OS  o 


^^^CO«  CS 
!>.  lO  C^  OS  lO 
»-HC5  coco-^ 


CB  OS  OS  OS  OS 


-^  05«  ■<*•  lO 

■^  CO  r^  lO  •-< 
CSCC-^OcD 
liO  lO  CD  t—  r* 
c<»c5csc^c^ 

OS  OS  OS  OS  OS 


IC  CO  00  ^  -x> 
lO  t>- t^tocs 

— «  cp— *co  ^ 
OOOO  OSOsO 
OICSC^CSCO 

CS  OS  OS  OS  CS 


CS^Nt>iQ 

f^Q-^O«0 
oO*voo^H 


^i*  cscs  coco 

lOOOCSiOOO 

o»c^  cococo 

COCOCOCOCO 


OS  CS  CS  OS  CS 


oocpocsco 
1-1  oo-^r^O 

1-t  COCDOO  .-< 
Tf  -^  "*  '^IQ 
CO  CO  CO  CO  CO 

OS  OS  CS  OS  CS 


i-<  OOS 
CO  lOtO  -- 


0<5> 

iO'  -      -  _ 

CO  CO  CO  CO  CO 

CS  CS  OS  Od  OS 


IQ  00  OSC5  00 
i-iC^CO'^iO 
CO  CO  CO  cP  cO 
COCOCOCOCO 

OS  CS  03  OS  OS 


CO  CO  escort  OS 

S»-l  lO  OS  <-*  --* 
r^r-r-coco 

CO  CO  CO  CD  cO  CO 


OS^CS  QCD 

1— t      r^  -^  o  ^  ■— < 


t>- ^H  ,-*  If5  CO        COOO^HCO" 

1-t^OOt-    -        -        

COOI^'^ 
04CSCSC4cN| 
OS  CS  9  CS  OS 


a  CS  o  OS  CS 


OCS  CS  ^  I^ 

r^  csr^csco 

OSOOf-<^ 
cs  co  co  co  co 

cs  os  os  cs  os 


1-t  O-H  Cprt* 
CS  iO  *X>  "0  CO 

*-^  IOCS  cor- 
es c<ics  CO  CO 

COCOCOCOCO 


OS  OS  OS  OS  OS 


CO  1— 1 1— iirt  CO 
CS  "^  r-  00  00 
o-^j'r^oco 

Tp  -^J*  -*J«  lO   " 

CO  CO  CO  CO 
CS  OS  CS  OS  CS 


r^ij^csoocs 

CO  CO  OOCS  lO 
_  _  CO  CSi— t  -^  CD 
lO  lO  lO  uo  CD  CO  CO 
COCOCOCOCO 


CS  OOOOO  CO 
CO  lO  tp  O  cp 


5r>-r- 1>.  r^ 


OS  OS  OS  CS  CS 


>OCS' 
CO  CO  CO  CO  CO 
CS  OS  OS  OS  OS 


COOCO  COOS 
OCOtT  ^CS 

r- t^r-  Soo 

CO  CO  CO  CO  CO 
OS  OS  OS  CS  CS 


CS  CS  00  C<)  *H  oo 
O  CO  O"^  CO  CO 

CS  CS  coco  coco 

OOOO  00  00  OOOO 
CO  CO  CO  CO  CO  CO 


OS  OS  CS  OS  OS  OS 


OS  CO  cor*  00 
Old  r- CO  CO 

00  lO  CS  CI  CD 

■^  lO  CO  CO  r* 
cscscscscs 


CS  OS  CS  OS  CS 


SOcOiOCO 

CS  osiooy? 
OOCO  OsO  o 
C^CSWCOCO 

OS  OS  A  CS  OS 


coi>»cscs  r* 

OSi-(i-i  OCD 

i-i  r- CS  r*  1-t 

^^  cscsco 

CO  CO  CO  CO  CO 
OS  CS  OS  OS  OS 


CO  CS  CO  00  CO 

.-I  Trie*  CS 

CPOtJ«00CS 
COCOCOCOCO 
OS  OS  OS  OS  OS 


00  coco  r*io 
00  CO  CD  r^  r^ 
lO  Cioi  upoo 


COCOCOCOCO 


OS  r» «— I  o  "* 
IOCS  oocs  ** 
^^  *«a^  CO  c-  ^^ 
i>  r- t^r^oo 

CO  CO  CO  CO  CO 


•QC 
)lOC 

5ior 

3  00  00  00  OS 


lOCSiOUi.-)  ■^'^O'^COO 

Ca  CS  CO  CO  CS  osioQcoioco 

i-iCOTfUOcD  cpt-OOOOOOOO 

_      .    _  OS  CS  CS  CS  OS  OS  CS  OS  CS  CS  OS 

CO  CO  CO  CO  CO         CO  CO  CO  CO  CO  CO  rO  CO  CO  CO  CO 


OS  CS  CS  OS  OS         ^  OS  CS  OS  OS         CS  OS  OS  OS  OS         OS  CS  OS  OS  OS         CS  3S  OS  OS  OS  CS 


06  CO  CO  1^00 


socoiOcD      cor-ocsr* 


t'-COCiiO  c 


CsOO'-cCS        CSCOC 


<0  •-*  CD  1— (  CD 


CSCSCSCSCS        CSCOCOCOCO        COCOCOCOCO 


CO  CS  CO  CO  CD 
lO  00  OS  00  CD 

S-*  COCS  CO 
lO  »0  CO  cp 
CO  CO  CO  CO  CO 


CS  O  OS  OS  CS   OS  CS  OS  Cs  OS   OS  OS  OS  OS  Od   OS  OS  OS  OS  OS 


CO  CO  cor- »o 
CS  r*0 
OfOt^ 

i^  (•*  r- 

CO  CO  CO  CO  CO 
OS  CS  OS  CO  OS 


csr>.^^0'*'      M'OcsolO      iocs»oto^      ■^-^ott'coc 


OS  CO  CS  CO  00 


00        •000c 


CO  CS'»f  t^oso 
rH  .-(  CS  CS  CS  CO 


CO  CO  CO  CO  CO 


CS  CS  Cs  Cs  CS    Cs  Cs  OS  Cs  OS    OS  CS  CS  O  CS 


cor-00      lOOcoiOQ 


OSCO__  -, 
COOOOCSCO 
COCO^  t^  ■S' 
r-ogcscso 
c<»c5cscsco 


r-<  r-  CO  a>  ■•sr 

^.-<CSC4  CO 
COCOCOCOCO 


OS  OS  OS  OS  OS      ^  OS  OS  cs  cs      ososcsoscs 


CO  cs  CO  00  CD 

■V  r—  00  r-  lO 
'■r'oocs  cpo 
CD  cor- r--  00 

CO  CO  CO  CO  CO 

OS  cs  OS  cs  OS 


00  cocor-o 


OS  r-1— I  o  ■* 

00  lO  — 1  lO  I-- 

CT)  cs  lo  r-  ci 

OSOOOO 
OS  cs  OS  Cs  Oi 


'T  O  CJ  O  L 

OOOO  COCOC 
^  CO  "0  t^  c 


iCCS"^»0^        M'TfO-^COO 
CSiOcDcO»0         CSOOCOCOQQOS 

Oi-<csco^r       io»OcocDcoco 


OS  OS  OS  OS  ^   OS  A  cs  cs  OS   cs  cs  OS  cs  OS  OS 


Tor^r-^cs 

OOCS"*  •*  ^ 

OS  r-  "<?♦.-<  00 

00CSO^.-i 

cscs  cococo 
CS  OS  OS  cs  ^ 


osM<r*oso      Oi-icocPi-t      r-cor^csc 


1—1         lO  00  00  CD  CO 


"OCOCSOO       cooocoooco 
cscocott-^      lO^cocor- 

COCOCOCOCO         COCOCOCOCO 


-csosr^-wi       oo^cscsc 


COOCOIO'^ 

cso3o-H 


COi-t  UOTf  CO 

cooyp  o^^ 

cocooo  oco 
^  -^  wcscs 

-r  -Ti  "^  "*  -^ 


cs  ^  cs  OS  OS      cscscscscs 


OSOSOSCsCs        O^CSOsCSC 


00  "*  CD  ■*  cs  0>tO^<^iO 

cscsor-cs  cocsooos 

lor-ciocs  co"*cot--r- 

CS  cs  cs  CO  CO  COCOCOCOCO 

cscsosACs  ososcsoscs 


00  00  ■*  CO  »0  Tf 
cpCS  t^  QCS  CO 
00  cs  OS  o  oo 

CO  CO  CO  M*  -«r  '^ 


OS  cs  OS  OS  OS  OS 


>>_s§ 


00«'^'*i-i 

CSOt-TT  1-H 

O-H  1-iCSCO 
CO  CO  CO  CO  CO 

OS  OS  OS  cs  cs 


CS-«ft^OsO       O^HWcOi-i 

wo  00  00  CO  CO      r-oscsr*'* 

■"-COOSlOi— *         CPi-HCpi-<CP 


CO  ■^  ■*  to  cp       CO  r- r 


r^eOt^CSO 

OOriCSCSO 

o  »0  oscor- 


C^r^t^i-tcs 


CO  CO  COCOCO 


COi-llOTfOO 

CO  0*0  05  1-1 
CD  OS  I-"  CO  CD 
CSC^  CO  CO  CO 


00  ^  CO  ^  cs  OSCDi»«iO  OOOO'^OOiO'^ 

cscsor-c^  cpcjsooos  cocjr-ocsco 

00OCSC0»O  COr-OSOQ  r-t  cs  cs  CO  CO  CO 

CO  ■* -^  ■^  ■^  Tf  f -^  lO  lO  »0  lO  lO  lO  lO  uo 


cs  cs  cs  OS  cs      cs  cs  cs  OS  cs 


CsOsCSO:OS        OSOSCSOSCS        OS  CS  OS  OS  O        CS  OS  CS  CS  Ci        CS  CI  CS  CS  Cs  Oi 


cor-r-*-(CS 

-'J'OOOOI^ 

locsor-  CO 

wCSCOCO'* 
CO  CO  CO  CO  CO 

O:  OS  OS  Cs  o 


OS  ■*  r-  cso 
i-H  -^r  TT  cs  c:s 

O  COCS  00  CO 
iO»OcDCDr- 

CO  CO  CO  CO  CO 

cs  OS  OS  OS  OS 


Oi-ICOCPi-t 
COiOiO  COO 


CO  CO  CO  CO  CO 


Tf  r-oooocp 
cor-i-H  IOCS 
oo^^^ 


csr-r-1-)  OS 

CSCPCSi-iO 
CO  CD  Oa  CO  CD 
CS  cscs  CO  CO 


cc^cp-*  i: 


10  0*0  10  10 


OSCD  OS  C7S  lO 
cs  iO  CO  CDiO 
OSQ^CS  CO 
UO  CO  CD  CD  CO 


Cscscscscs      OS  cs  OS  OS  OS      cscscscscs      CSCSCSCSCS      Cscscscscs      CSCSCSCSCS      OS  cs  cs  cs  cs  Cs 


-^r-r--r-fcs      os'«*'r*cso 


coocscs  cs 
r-u3cscsio 

CSCO-^TT  lO 

CO  CO  CO  coco 


>CO'<J"i-H 

coco  r-  c 


OS  OS  OS  OS  OS 


OiMCOcp^  ?i«or^cqo 

ior-r^iocs  coosoooo 

>— <  CO  i-»  CD  •-«  iOOS-^OOt-^ 

CSOSOO-H  ^wCSCSCO 

coco-*"*-*  ■*  rr  ^ -*  ■v 

OS  o  Cs  o  cs  ososcsoscs 


cqiN-t^^cs 

■<t*  go  i-<  CO  cs 

IC  OOCS  lO  oo 
COCO"*  ^  'rr* 


cscscsoos      ososcsoscs      ososcsoscs      Cscscscscs      cscsososcsos 


lO  00  OS  Ob  CO 


r^»-n-Hiocp  cooOi— tco^tf*  ^ior>-o«- 

^•csi-tOr-  cs"*»ococs  coiQioirC-  

cscO'*'— tr-  TTOcpcsr-  cooocoooco  r-i-iioosco      r- 

co-*iococo  r-oooocsci  oo^^cs  cscococo-t      * 

CO  oo  CO  CO  CO  CO  CO  CO  CO  CO  ^<^'T*»^<^'  ■^Tfi^'*^         ^^ 


CD  1-1 1-1  lO  CO 

o-vr-Q 


t^iOOSOOCS        CSOOOOOCO        COOCOCOCS        CSCSOOCSi-lOO 

cscOf-iioco      csooi^cocs      cocor-r-io      cocscor-osos 
csiocoocs      ■*(OcoQ»-i      cos;'^^^*      ^oocsososcs 


OS  cs  OS  OS  OS   cs  cs  OS  cs  cs   OS  OS  OS  cscs   cscscscscs   OSOSO  OS  cs   OS  o  cs  Cs  OS   OS  A  OS  cs  Cs   OS  OS  OS  OS  OS   cs  OS  cs  cs  cs  cs 


r--H^ioco  coo0i-<co- 

cs'^cpiocs  r^osoco^ 

000»OCSOS  iQi-iOOCOC 

io»ocpr-r-  oo  cs  OS  o  c 

COCOCOCOCO  CO  CO  CO  •*  "■ 


OOQOCsiO 
^r  O  lO  cs  ■* 

^  C4  cs  CI  CO 


CO  w»-llOCO 
£-CSiOtpcP 
00C^iO00i-t 

lO  cp  o  CO  r- 


CSOOOOOCO 
-*  COC^I  00  -^ 
CPOOO  — '  CO 


COOCOCOOS 
oo— <CSCS  O 
"^  cpr-00  cs 


OS  cs  OS  OS  OS 


scscscscs      cscscscscs      oscsoscscs      ososcsoscs      oscsososos      osososcdcs      ososcsoscs 


CS  C^  00  C<  i-<  00 

oo'^co  cs  -*  * 
csooooo 

"^ji  »0  lO  lO  iO  lO 

cs  o  OS  cs  Cs  cs 


lOtPr-occs      O-Hcsc 


•  OOOS       o»-icsco- 


I0>0*0i0i0        lO  lO  *0  lO  O        cp  cp  CO  CD  CO 


5cor-ooo>      o— "CScorr      locot^oocs      o^hcsco-- 
scpcpcocp      i^r-r-i>i-      r-i>.r-r-t>-      ooooooooc 


5  00  00  00  00  c:s 


EQ'-S'OOCSCP 

f«;  CO 


8-*oocscp 
oo— 1^ 


S-^OOCSCP        O-^OOCSCP        O'^OOCSCPO 
OOt-i— I         CSCSCSCOCO         ■-r'*"*iO»00 


Page  180] 


TABLE  V. 

The  Finding  of  the  Azimuth. 


5  hn 


i^s 


C^C^CiCOCQ 


O-^OOtNcO       O'3'OOMO        0"^OOC*«0        O -^  OO  OJ  O        O 'I*  00  C^  O        0^0001(0       O'«»*a0C^'©Q 
«9<'^'*3«iOO       0O0«-H^H       0«0*WMCO       -^^-^tOO       OOOrH^       C^  O*  <N  CO  CO       -^r -^  ■*  *o  »o  O 


©"^c^co^      •o«ot^ooo»     o»-HCSco^      »ocot-»ooo»      o«-HC*^cc^f      »o<or^ao< 


O^C^CO'*' 


c^Mc<i(N04      cmMC^c^w      eococococo      cococococo 


-QOO>       O  i-«  OJ  CO  "f  O 


«  f  -*  -^  'J* 


J.  O  o  CO  o      ■*j«r>»»0':o 


00  00  -^  fH  Oi 
•-H  O  t-  U3  »0 


^  2.COC5 


.^^irj^       C^O»o»o95       (N.-lNOO'** 


lO  0>  »o  lO  <N       CD  o>  •-< '«r  c 


■^fHOOOOCO        CDO>pO.-tTj»         '^r^OOiO'^cp 

S-^j<  i^  (£)  r-<      •rftro^^i      coiaococgo 
_  C0iQt*0>OOrHOO0lQ0t-»0C0«-» 

c<opo>cOcc^      oics-«ri-^oi      i-*c^»ot^05      oc^eo»ocD      ooo>0-H6fl      ^^loot^oo      ooo>o<-<cseo 

C^(N<NCOCO       CO  "^  '^  -^^^       lOiOO^CiO        cDCOOOCO       CDcOt^t^l>-       t^t^t^l—  1^       i>r-oooooooo 


OOOOOOOOOO        0000000000        OOOOOOOOOO        OOCOOOOOOO        OOQOOOOOOO        OOOOOOOOOO         OOGOOOOOOOOO 


,ss? 


COcDOilOiO 
»0  ■^  t-J  I'-  »o 

O>00»Q  CSPO 
lO  COOcO  <-• 


t^  00  00  00  00 


OCO  ^  (N  ^ 

Oioot-Hco  55 
oo<^t-  f-»  iN 
to  Oicor^  o 
c5  wcooo  '^ 

OOOOOOOOOO 


COt^  t^  t-H  I-^ 
<MiOi-HCM00 

COiOOOOCO 


00  00  00  00  00 


OOOOOOOOOO 


)  OJt-  o 


OOt-^-^O  O  (^ -^  M' o> 

.-^OCOOOOO  C^lO'^COl'- 

•O'-HOO^  O0'-*CO»OCO 

"^COt'-OlO  t-«CO^»OCO        ^ 

cOtDcD^Dt^  t>-i>.t>-r^t>-      t^r-t-QOOo 

OOOOOOOOOO  OOOOOOOOOO        OOOOOOOOOO 


(MO  '<rCOl^        OO  ' 

00  <-*  CO  »0  CO        t-  Oy  'JU  w  'JU 

,-«CO"^»OCO        t^00C3iO«-« 


CO  ^t^  OO  t- 

r- CO  T?<  CO  "-I  00 


00  00  00  00  00  00 


!o.cocp  -^       ^^ 
lOCO^  t^         ^  .,  _  . 
qi  oi  i>- o>      o>t^cooi 


_   t*  -^J*  1-H 

'^  CO  05  t--  OO 

O>r-C0  0i  -^ 
OSO<-<'-«  (N 

t^  00  00  00  00 


coco  -^o  •»« 


CDOO 
00  csco 


,-40a<^-^t^       th  o  ^r  t— CO 


_  -OiCOCD  t^OOt^iOCO  OiiOC 
':OOi--H'^cO  OOOCS-^CO  t^Oi- 
^«  ■^  lO  »o  «o      toco^coco       cocot 


OOOOOOOOOO        OOOOOOOOOO        OOOOOOOOOO 


CO  o^- 1^  c^ 

OO  t-  O  1^  -^ 
(MiOOO^  r-j 

lO  CO  l~-  oO  O 

i>  t^t^r-00 

OOOOOOOOOO 


»0  GOfNOCO 
-T  OCOCS  I' 
CNCOCOCO  cs 

1-tC^c -■- 

OOOOC 


Oi  00  CO  CO  coco 

i-<  O  Ol  t;  »0  CO 


3  00  00  00  00  0^ 


OOOOOOOOOO       oooooooooooo 


I    CO  CDOO  O* 


OiC^OOuOC^  CD<3>O>00t^  OiC0C0r«00 

.-Hi-it-TrC^  •OTri--OlU0  OQCSOOOOiO 

—  —       -—iO  »QCDC0l--O>  OO^DfHioOO 

ioo  C^COOCOCD  0>(NtO^-0> 


O  r- <  »-* 


^C<ll^t^O 
04C^  Tf  t^  (M 

Oi  O  Oi  t-  »0 

IC^        COCO'^-^'V         -^»OiOiO»0        CDCOCOCOCO 


■^CO^-  OCD 
00  t*  Oi  lO  TT 

.-H  t-  ?;» t-  1-H 
t^  r- 1^  t^  r>. 


C>.t>-t*t>«        OOOOOOOOOO        OOOOOOOOOO        OOOOOOOOOO        OOOOOOOOOO        OOOOOOOOOO 


CD  fOOO  to 
OO  l^  --H  O  TT 
TT  t-.0(NCO 

oooi-H  (Meo 

t^  I"-  OO  00  00 
OOOOOOOOOO 


00«-H  toco  CD 
■<1«  rHCO  C^  t- 

-»si  to*o  uo  3; 
■^  trt  CD  I-  00 
OOOOOOOOOO 


CD  coot*  CDOO 
0»  OO  "T  CO  CO  CO 

CO  (N  r-f  o>  t*  »n 

0>0  -H  i-i  MCO 

00  d  o>  o>  O)  o> 


OOOOOOOOOO        OOOOOOOOOOOO 


'  »n  lO  CO  t 

COCDOO< 


oco  os^eo 
oc>»o  ^o 
CO  -^  •-<  c>o 


oc>»o  ( 

CO  -^  •-<  <_     _ 
to  CO  O  to  i-H 

Or-ic^c^eo 

OOOOOOOOOO 


r^ooooaoo 

SC0»O  I^CO 
coco  r^Oi 


to  CO  OO  00--^ 
t^OC^tOO 
Oi  O  0>  t^  »0 
—  -     "JO<N 


OOOOOOOOOO 


CO  CO  CO  t-  t* 
OOCOOOOOOO 


»0  -^  00  ^^  t-- 
COiO  t^CO  C>i 

'^lO  t^ooo 
t^  t^  r*  t-  00 

OOOOOOOOOO 


r-*  -*  <-H  F-»  CD 

cDOOiOOC^ 


OOOOOOOOOO 


ac^co  ■«»<  r* 
10>'-»0  to 

pJ  -rj«  to  »0   TT 

-oboo^ 
>ooooa>a> 


t-*  -rs*  y*  00  t~~  0> 
t--  CO  (M  -»<  -^  •-• 
CO  c5  .-H  oa  (^  to 

"ICO  -r  rr  tO  CD 


OOOOOOOOOO         OOOOOOOOOO 


0>  0>  Oi  ^  Oi  ^ 
00  00  00  00  00  00 


cq  oocD  ■«*« 

ft»oS?Mt^ 

Y  oooocpoo 
I  CO  CO  00  o> 


CO  q6 


CO  CO  Tf  to  ^ 

05r-(  -^CDCM 
—  ■<1'  f-H  to  t* 

(NcOOiO* 


COOO-'T  o 
to  05^0  to  C^ 
CO  «  CftCOCO 
to  OO  O  CO  lO 
>0  to  CD  CO  CO 


,— I  0>  rj*  TP  h- 


1^  OS  ^  CO  »o 
CD  CO  t^  (^  t* 


t>.t^t*t^        OOOOOOOOOO        OOOOOOOOOO        OOOOOOOOOO        OOOOOOOOOO 


»-i  O  '^  l>.CO 
to  -^cOi-H  ^ 
O)  u^  O  to  0> 
COOOO  <-*  C^ 

t- t^oooooo 

OOOOOOOOOO 


COO  t- t*  w 

c5io  t^  Ol  «-• 

TT  to  CD  t^  0> 
00  00  00  00  00 

OOOOOOOOOO 


lO  00C4OC0 

•-H   I>.  O  OJ   "^l 

C^CSJCO  C^  (N 

O  -H  cj  CO  "«r 
O)  O  O)  o>  o 

OOQOOOOOOO 


CO  o  t^  ■««•  CO  tn 


to  CO  cOlr^OOOi 
^  0>  G>  0>  0>  0> 


OOOOOOOOOOOO 


8tOtq»0<N 
;:^2os2h 


8  CO  Oi  CO  CO 
O>"0  c*»o 

OOO  toco  TT 

,-IOO^i-HCO 

1-H  ^cqcoco 

OOOOOOOOOO 


r-o  ooojoo 

CO  CO  »0  t*  CO 
i^O  t^^  CO 


i''J'to*0       tocOCOcOCO 


tOCOOOQO  i-< 
I^OCSiOO 

CO  ■^  CO  »-<  OS 
O  C*^  -^CD  t 


OOOOOOOOOO        OOOOOOOOOO 


t-  r- 1^  t*  t* 

OOOOOOOOOO 


to  "^  lO  »-« t- 
CD  to  t^CO  « 

to  1-1  CO --I  to 
Ol  <-H  Cq  TT  to 
|>.00  00  00  00 

OOOOOOOOOO 


Is.  ^  _^  ,^  CO 


OO  00  00  0>0i 
OOOOOOOOOO 


(M  CO  ^f  to  CO 


OOOOOOOOOO 


t^  ^1-1  00  t^  o> 

r^  CO  CS  ^r  ^<  rH 

t^COO  CO  ^o 
^OiSoOO 
00  00  00  Oi  (3>  O) 


0>  tOCOr-^ 

fi  CO  W  CO  t^ 
Y  CO  CO--?  CO 
I   -^  t-  Oi  o 

t^t^t^OO 


COCOC^OCO 
C0»0  C»«OOCD 

''J'COOh-OO 

CO  »-<  oocooo 
1-*  c*<  c^coco 


OC0»-HCSi-* 
OOiCM-'J'O 
-*  -^IMCDOO 
CO  t^  >-<  ■^  t^ 


coc^t*<->r^      oocO'-*^'^ 

COCOSSCOO        COCOOiC^CD 


OO  00  00  00  00 


CO  CD  CD  CO  I^ 

00  00  00  00  c/i 


OOOOOOOOOO 


00t*00-^O 

(M  i-(COO>Oi 
O  CD  I-*  »0  0> 

O^COlQcDt^ 
OOOOOOOOOO 

OOOOOOOOOO 


CiO  ^co  2< 
OO  c>  o>d  O) 


(NtOOSt^O 

Oi  to  t^cocq 

fNCOCOCOCO 

to  CD  r-  OO  oi 
O)  9^0  0  0) 

OOOOOOOOOO 


Ot-"^r-«0  W 

■»f  C^  OO  rl  ^  OO 

C^  1-H  Oi  00  CO  CO 
Ot^  -HCJCO^* 

OOOOOO 

0>  O  d  OS  G>  O) 


•-H  -^  O  t^  ■^ 

OQOto  ,-(0> 
^-  CD  CO  1-1  .1 

tOCOOcD  F^ 
1-H  <N  coco  ■V 

OOOOOOOOOO 


00  »-H  0>  OOi 

ts-00  to  OS'-' 
''<        to  OiCOCDO 


»-*  to»o  os*o 
«D  OSJO  to  C3 

COiOCOOCO 


CO  "<*«0>01C^ 

<-<  -^•i^Sftco 
to  t^  OiO  c^ 
t-t^t^oooo 


CD»OCD<>)00 
to  -^CD  <N»-> 
CO  OS  -^  OS  CO 

■rp  to  r*  00  O 

00  OOOOOO  OS 


OOtOC^C^lt- 

to  ■^  oot*  >-• 

CO  OS  •-"  CO  »o 
^?1  TPtoco 
OS  OS  0>  OS  o> 


t^OO  »Q  •-• 


00  locsoioe  o 

C0*0"-<COCO  ^ 

to  ■^  00  »-*  o>  t^ 

d  c — 


OOOOOOOOOO 


OOOOOOOOOO        OOOOOOOOOO        OOOOOOOOOO         OOOOOOOlO* 


ooc>3oo 

OS  OS  OS  OS  0>  OS 


W  -H  0)00  CO 

Y  OOOOtOOO 
I    TT  t— 0»0 


OS  OS  »0  C^ 
P>  00  to  CO 


00  OO-OO  00  00 


-j^t^tOCDiO  t-- ^H  ,-(  to  «-t 
COC^tOt'-CO  coocococo 
OsOt^'-'CO        C^Ot^gjiM 


^  to  tO  o  «0 

OOOOOOOOOO 


cocD  t^  t-^r* 


W  O  to  to  00 
t^O  c5iO  OS 
CO  ''J"  CO  i-<  OO 


C^f-^CiOO**         -^-HOOOOCO        COOSCO^I* 


CO  to  t^  03  C^ 

to  -^CO  T-t  to 


CD  to  00  t-  C^ 

00  >-<  CO  »o  r- 


JCDI^OO        OSO 


-  .00  wOtO 
OO  OO  OS  OS  OO 


QOOOOOOSOS        OlOSOSOlOS        050000 


OOOOOOOOOO 


OOOOOOOOOO        OOOOOOOOOO        OOOSOSOSO) 


^  >— «  00  to  f  CO 
t^co^  -^  '^—i 
r-COtOCOrnOJ 

■^  O  CD  t*  oOoo 

ocSoooo 

OS  OS  O  0>  OS  Ol 


8§SSS 


CO  <0  C-»  Ol  CO 

Soo»o  ^  oa 
OacD  -^  ^ 
O  t^  ■^  O  UD 
(MIMCO  ■«<  ■» 

OOOOOOOOOO 


CO  C^l  'O  t^  CO 
O^OOIM  ^ 

o  -^  t^  »-<  "^ 

to  *0  lO  CD  O 
OOOOOOOOOO 


CO  t^  t*^  t- 

cos>0  3gcs 

t~  O  <M  "O  t^ 


OOtO-HrH  •«> 
OS.-tCO«3  CD 

r- 00  00  00  00 

OOOOOOOOOO 


o6  o>  9  OS  OS 

OOOOOOOOOO 


•  O   O  f^  ^r  •»**  OS 
I  C^   CD  -"t*  00  t^  ■-» 

OS  C^  'W'CDOO 
to  t-  00  ^  O 
OS  OS  OS  Os  o 


(N  to  ^  t^O 
(NOO  O  OStO 
OS  OS  O  Os  0> 

.-H  ?)  -^  3"  to 

oooocS 


Or^  ■v  <-hO  OJ 

C-  to  t-"  -^  ^  >-" 


ooooooooos     o>o>o>o»a»     o>o>o)0>osos 


t- 1-  r-  00 


POSCDCO       t^OOOOiOO  O- 

^       C3(N3;co(N  co< 

O  rHOO  (M  -^  CO  ( 

<NCOC3SCOCO  OS( 

to  «0  us  CO  CO  CO  > 


SS3S3 

I  TT  t^  OS 


00  00  OOOOOO 


to  CO  00  00  1-H 
CD  OS  ^  -^  OS 
Tfi  ^»i  T?«  (M  OS 

ooooSoooo 

OOOOOOOOOO 


to  ^J*  to  1— «  t- 
lO  -^cOC^fH 
gp  cs  t^  CQ  CD 


t^  -^  ^  ,-lCO 
to  -^  00  I^  1-1 

os^ooo 


r-«00Q^-^ 


OO  00  Oi  OS  OS 


OSWC 

r-«00C 

OSOSC 

ooSSo 

0>  OS  OS  OS  OS 


CO  to  •-<  CO  CO  Q 

0Q(-*^  "^CiO 

^c&0'-He^^co 

O   O  «-H   .-I   F-l    rt 

OS  OS  OS  OS  OS  OS 


lOObO  ^ 

t-^t^o6o6 


CD  Ol  to  04  OS 
OSOQ  tO  (NO> 

Os00*0  CO  CO 

CO  •-<  00  ^r  OS 
C^Ot  CO  ■^  -* 

OOOOOOOOOO 


CO  CP  f  lO  -^ 
CO^tOt-CO 

OsQt^^M 
CO  00^  to  00 
to  »0  CO  CO  CD 


COQO  ■^O 

coOcococo 

(NOiOOiM 

*-H  -^  CO  OO  f-i 
!>•  t>- t^  t- 00 


OOOOOOOOOO        OOOOOOOOOO 


»-(  OS  ■«(}'  ^<  ts- 
t^OS  CSuo  OS 

cococo^^ 

CO  to  t^  OSO 
ooooooooos 

OOOOOOOOOO 


CO  to  t^  OJ  c^ 

to  --«co  1-t  "3 
M  'Tjtto  r-00 

Oi  OS  0>  0>  OS 


coot^t-c« 

CD  »0  00  t-  Ol 
OO  ^COtO  t-- 

OsOOOO 


lOOOCflOCO 

oo^ososoo 


coot*  fCOiO 

t*  CO  •-<  ^  "T  •-! 

ScO»O00-hOS 
rH  c5  CO  Tj»  •*»< 


OOOOOOOOOO       ooosososos       o>osososos       OSOSOSOIOSOS 


Tt<  O  00  CD 
>  OSOcO  1-t 


»qc00<0^ 


to  00  CO  t*  CO 

to  3 1*  ^  »o 
to  OS  CO  coo 


00  5^03  CD  C* 

00  04  00  00  lO 

oooco<>c5 
eotoooOco 
r*t*t*oooo 


*C4^CP5* 

St-OSOOl 
00  00  OS  OS 


t-t-0000        OOOOOOOOOO 


OOOOOOOOOO        OOOOOOOOOO 


COC^COOSfcO 

00 1- 01 2;  2" 

COO&J^^g 

OS  OS  0>  OS  o 
00  00  00  00  OS 


to  c^gsos  -*« 
oot-oos-v 

CD  ^CSCOi 


oocsSS 

OS  OS  OS  0>  OS 


t*0  Tfi(N  to 
0QC4  t* 
t*  t^  CO 

r^QOChOi-H 
ooo^-i 

OS  OS  OS  OS  OS 


_     ....        »OC^O>CDiOt* 
^OQC^t*        OSOOCOCDCOCO 

-       -       *^      —  tOTpCOrHOlI-^ 

c5co^totoco 


OS  OS  OS  OS  OS  OS 


Otmcmcot      tocot»ooas      o— toico-^      tocot^ooos      o^HC^eO'* 


eO"*      iocot^-ooos 


O^C^CO-^       tocOt-OOOS       O'-^MCOfto 
COCOCOCOCO       OOCOOOOOOO        ^^^^r^-v 


KQ'^OOC^CO       O-^OOCICO 
t=OOOi-»"-(        <NC4C^0OCO 


©■^OOOJCO        OrPQOC^CO        O-^OOC^CD 


•  ^ -^  to  *0        O  O  O  ^H  i-( 


C4WCSCO0O 


"00  WCO        O-g'OO 
«  •'T  tO»0        000 


a  CD        O"*" 


_       OOCiCD      o-^oowcoo 
wwwcoco      -^-^-^rtofcoo 


TABLE  V. 

The  Finding  of  tJie  Azimuth. 


[Page  181 


O  O  O  ^H  ^H 


SScSc 


S5J 


?s 


O***  cow  CO 


Se5S? 


*  -V  ^  1/3  lO 


O'tf'OOCItO 


«SSc 


»J5»f5»Ofc 


(O  (O  to  to       to  ^  tj 


.cc<5      Oi-Hoc 


•  »^r*f*h-      i^i>.j 


lotor^coob      Q— 4 


OOOOOOOOOOO 


SQO-fkO  wi^oc^eo  cO'<»":o«'^  o^O"5co  "JOQ-^w  to-^oor-rH  ^t^Ar^c^  c^oac^c^co  i-«i-tt^-HQr- 

uSt^gjcc  000--JCSIO  os^-ifftp  •^coio'^cj  ogC^^tr*^  iONi^.-t-«f  io-vwoiio  o&i-hcoc«3^h  aiioa»co"5»o 

^H06iOC5Oi  u5«OOCCC3  ■3tO»OS"*  "^  K  tt '^  "^  0OCiwb0O«-t  "^'I^^N'*'  (ioOO^HCO  -^tOr^ODOl  Soo»-t^H.-t 

Sa3;i2^  *SE;tx9S9S  SS^SllJ  ^^SSS2SS  S23S3!^  SSiGiSif'Se  $^«^i^t^  f-r^r^r^r^  r- oo  oo  oo  oo  oo 

OOObOOO  OCOOOOOOOO  OO^O^OCd  Ca  Ci  0>  03  O  0>  O  0:>  03  O  0)03i?9^<^  Ob^O^OdO  OaOaC^O^O  ClC)030iO>Oi 

ooooooodoD  ooodoocood  cooooocccc  ocioco<5cioci6  ccoocccooo  ooo6o(5o6o6  0606060600  0606060606  060606060606 

c^totoo--*  ooeotoooc*  OiQC^yjo  <D*0'£>i-<a3  rHtotpooo  (NO-^fOt^  r-coiiocooo  ooupoooor-*  i^t--eoi^toco 

t^^^cQcoo  ""ft^t^^tx-H  iL??ooootoco  t^o^'-tcc  lo^c^'t!??  cgos'^ooo  ^«-4ostpi-H  Lpoooiosoo  in  y~t  v5  a  ■^  d 

ootocoot-*  coaiO^-H>  wr-cst'-cs  to*- itooics  tooscotpoa  c<l^r^^c^  -rtor^o*-*  c^co-^^oco  i--ooooooOiO> 

^r-oooSoi  oo^o»c^  eoco^-^fcc  ocpyStpr^  t^r^oooooo  Q?a'a>$>o  oooo.-t  ^^^rH»=i  ^;^;s;i;iH^ 

0000000000  Oi  ^  0>0i  Oi  Oi  OS  C5  Oi  Oi  05  05  Oi  OS  Os  OS  05  05  Cs  O  eft  05  Cft  c&  o  ooooo  ooooo  oooooo 

0606060606  0606060606  0606060606  GCCO060C06  0606060606  o6o6o6o6c5  oiosoioioi  oJosoiOios  ososoioiosol 


C*3  I'-  cS  Cs  to 

coo  (^  ■n'  '-• 

iK  O^  Od  OS  o 

06060606  06 


1-HO03--4CS 

^H  CO  CO  woo 
O^  OS  03  OS  o> 


weo»oooco      osooos-^w      '»j'oscicoi-t 

w^-^cj"      "    "        

to  r- 1-^  00 

0>  OS  Od  ^ 


i-(  »o^cor^ 


00  00  00  00  00 


00  00  00  05  OS 


1-1  TP  i^  rH  Tp       tpoac5"«rto 
ooooo     ooooo 

OS  OS  OS  OS  OS 


SCOOOCP^H  ^HOO-Hi-lt-. 

50W"<t*kO        r-OOOiO.-* 


OS  O^  ^  OS  OS        OS  OS  OS  OS  OS 


ooooo 

OS  OS  OS  O  OS 


o  o  to  o  01  to 
oj  00  w  tor^  00 
wc5coeoeoco 
lO  »o  o  10 10  »o 
oooooo 


OS  OS  OS  OS  OS  0> 


)wc«tpr^      '^posN'^io      incooo^o 

JCOO^tO        rHCO'^ClOO        c4'f'3«CO^ 
?<NOtOCO       OtOWcOCO       ffl^^-^00 


00  00  00  00  00 


Otoe 

OS  OS  OS  OS  OS 

06060606  06 


OSOOOO 
000s  OS  OS  OS 


l^  w  w  to-^ 


_,  _    o§S 

OW"«»cOb- 

OOOOO 


^_l  —  ^  o 
c<iu:)tOt-   - 

OSOi-^  C-  . 
1^  00  00  00  0  , 
OOOOO 


500000 


OsOSOSOSOS        OSOSOSOSOS 


OS  OS  OS  OS  Oi        OS  OSOOSOS         OSOSOSOSOSO) 


OS-  eofot^  00 
■-H  tpoor^  -^ 

^r-i-  00^ 

OS  OS  OS  OS  OS 

0606060606 


OS  to  (N  00  CO 

0000 

00  OS  O  OS  OS 


cor^o  Of- 
o  w  w  ^  t^ 

*  '^r  OS  -n*  00 
W  CO  CO  ^  n* 

ooooo 

OS  OS  O  OS  OS 


CO  (N  CO  00  to 

C5>0  tOiQ  CO 

COI^i-'  10  OS 

100  to  to  to 

OOOOO 
OS  OS  OS  OS  OS 


00  CO  cor- 10 

OS  -^t-  00  00 
W  tOOSCSiO 

I—  t- 1—  0000 

OOOOO 
OA  OS  OS  OS  OS 


■^owou? 

§tO-^i-l<0 
w^tot- 
0000 

OS  OS  OS  OS  OS 


»0  WiO  »0'-t 

O  CO  -n-  ^  CO 

oso^csco 


■n'  ^  o-^  coo 

O  to  t-i  '•f  tp  t"- 
M*  -r  iC  »0  >o  »o 


OS  OS  OS  OS  OS        OS  OS  OS  OS  OS  OS 


>0  OS  <?1  CO  "^ 
O  f  to  to  CO 

go  0--4  W 
0000 

000s  OS  Ca  OS 


000  O  OS  10 


ooooo 


OS  OS  OS  OS  OS 


W  CO  kO  00  CO 
OS  -H  •-I  OS  CD 

to  W  t-  .-H  to 

»o  to  to  r-  r- 
ooooo 

OS  OS  OS  OS  O 


OS  000s  M*  04 
OCO  ''f '^W 
rH  115  OSCOt-^ 

oooooocfio 
ooooo 

OS  OS  O^  OS  OS 


10  cor--  too 

t-OCO         tSoS'TH'^S 


■^•05  06  CO^ 
00<NO-     - 
O'd'l^ 

000 

OS  OS  O  OS  OS 


lO-^C^OS^O  OirHCOCOi-H 

OOOWcOiO       tooooso^-t 

WCOCOCOCO        CO  CO  CO -rr*  ^ 


00  tOOOS  to 
OS  10  OS  CO  "^  "5 
t-t  CS  W  CO  CO  CO 


OS  OS  OS  OS  OS        Ob  OS  OS  OS  OS        ^  OS  OS  OS  O        OS  OS  OS  OS  OS  OS 


CBcocor^  00 

OOOOO     0^000 

OSOSOSOsOS        OSOSOSOSOS 


JOco^oto      <p  r-.  OS  W  t~* 

sCSCSOtO        OCSCI'-tt;- 

3  Q  to  w  t--       eooocooow 


0000^ 

O^  OS  OS  OS  OS 


CO  CS  CO  00  to 
C4VO  to  ^  CO 

I>-  i-H  lO  OS  CO 


•^  ow  o  »o 

to  to  -^  1—1  CO 


.  -  -      o  to  "-H  -"T  cor 

)cO(-        OOOOOSOiOiOi 


SiOiOcOtO        cOtOtOtOtO        eotOtO^Ocb 


OS  OS  OS  ^  OS    OS  OS  03  OS  OS    OSOSOSOSOS   OS  OS  OS  OS  ^   OsOSOSOSOS   OS  OS  OS  OS  OS  OS 


53  XI  to  o  -^ 

CO^  00  "bW 

■^  »0  <!  to  r^ 
ooooo 

OS  OS  0>  OS  wS 


0000^ 


oso  w>oo 

CO  O  OS  t--  ' 


to  «:>  tO'-'  OS 

OO^CM  WOS 

»-<  to  O  "^  t- 


*-t  to  to  O  00 
COOCO^  ^ 

■•-ioO'-H 


OS  OS  OS  ^  OS         OSOSOSOSOS         OS  OS  OS  OS  OS 


WO" 

icioiototo      coF^r-^r^r~» 

OS  OS  OS  O  OS        OS  OS  OS  OS  OS 


is 


lOcooo      oO'Ooooo^      r— r-.cor-toco 

Ot^W        tOOiOOOS        cOWt-OWC- 


r-wr-c^S.       T-tcoo-^t-       1— ivoo6*-H-^       r—  oc5-^t*       osi-ico'^to       r— ooo»-t*-<       wcoco-^Tr-n* 
o-H^HC^W      coco'^'^-n'      icio»ototo      cob-r-*r— r~»      r^oooooooo      ooooososos      osososososoj 


0(^OsOsOS       OSOSOSOSOS       osososososo 


o-M* '«»'  000s 


"^co-^os  t- 
1-t  '.^f  16  -v  cs 
iO  OS  cot^  «— < 
w5  »o  to  CO  r* 


OS'*"" 


OSOSOSOSOS         OSOSOSOSO^  OSOS^OSOS         OSOSOSOSOS 


i^r-  00  00  00 

OS  OS  OS  OS  OS 


S  W  00  W     - 

oco»o  c»o 

OS  OS  OS  OS 


►i5  "-I  CO  ^H  CO 


00  W  '^         to  "0  CO  < 


w  ■n'  to  c  _  , 
oooo< 

W  W(NC5C 


OS  OSOSOsOb        OsOsOSOsOS 


CD  CO  to  to  C« 
^  tN  CO  COCS 
OOJ  CO'*!^ 

OS  OS  OS  OS  OS 


cocoes        OSiOOCOiOtD 

-CO'*!^      iOtor-r^r^t- 


iC  lO  i-i  U5  -^  1-t 

OS  lO  O  CO  iO  to 

iO  to  r-r^r^  t- 

C*  W  C<»  WCI  w 

OS  OS  OS  OS  OS  O^ 


tOOQ-^iO 

— ^  iooOh-  M« 
OS  tpcoor-- 

00*O»-<  -H 


Wt^O  Wco 

~S  1-H  CS  O  tj- 

SOtOCNt 


Sooco  c^  " 
10  tot 


CSCOCOM"^         lOiOtOtOb-        t— oooOooos        <^  O 


loco      1000^31  w 


^o  CO       OS  **  r- 06  00 


www      w  w  w< 


^»— OSl>  w 


wowwgo 

OW^*"^  w 

CO  -*  »ocor- 
5  fo  CO  CO  CO 
I  WW  WW 


^^t^^ot^ 


OSOOSOSCS       OSOSOSOSOS       OSOSOSOSOS       OSOSOSOSOS       OSOSOSOSOS       OsOsOsosOs       OSOSOSOSOS       osososososos 


W  tOtOO^ 

-HTuSr^t-  'n; 

O  r*  -^  *— '  00 
w,-t  Wcoco 

OS  OS  O  OS  OS 


00  coco  000s 

00  1-1    T-t    OilO 

2j.-Hr- Woo 


*  lO  10  to  CO 
OS  OS  OS  OS  OS 


CO»(^COi-H  OS 

T-t  w  w  w  w 


OS  CO  t, 


OS^OSOSOS         OSOSOSOSOS 


pOOO 

_-  .,  —loot; 

r*i-H^t^o 

www  WW 

OS  OS  OS  OS  OS 


w  O'^cor- 
to  CO  00  w  -^ 

CO  CO00«-iCO 


I—  CO  10  CO  00 

SuScoOw? 
t^OSi-H  W 

■^  ■»**  -^  lO  10 

w  w  wc5c5 

OS  OS  OS  OS  OS 


00  iC  00  00-^ 

OS  wcoco  w 
CO  »o  cor—  op 
u5  uo  »ra  lO  io 

www  WW 

OS  OS  OS  OS  OS 


00  OSOOOO 
10  *JO  CD  to  to  CO 
W  W  W  W  W  C-l 


CR  OS  OS  01  OS  Oi 


>t-0>  Wt^        CO  WC 

>^rt  oco  ■  ^ 


OSOSOSOSOS        OSOSOSOSOS        ososos^os        os^^osos 


ost^— *< 


M<  O  W  OiO 
"    ^co  0»0 

,, ,  ,         -,  .  -  OS  ^  W 

ir5>0»iOcpto       cpotot^r- 
wwwww      wwwww 

OSOSOSOSOS        OS  O  OS  OS  OS 


vowoow-^      »oiocoow5 


o  w»ou:ii-t 
OS  wcoco  W 
CO  o  to  t-  00 
I-  r—  t-  r-  t- 
wwwww 


Tf*'*0-»<COO 

osio  oco  w5  to 

OOOSQOOO 

r^  t-  ooooopoo 

WW WW WW 


OSOSOSOSOS        OsOSOsOsOkOS 


10  OS  OS  CO-* 


OS  OS  OS  OS  o 


50  0<P  00^^^ 

)  iO  COiOCOOcO 

5  W  -^  to  OQO'^ 

,    .     ,     _  J  00  ob  00  00  OS  O^ 

wwwww  wwwww 

OS  OS  OS  OS  Ov  OS  OS  OS  Ob  OS 


r-  I-  I-  c 


^HQQ»-<.-ir^      oocooost 


OS  OS  OS  OS  01  OS 


•  QO  W  tOOOOO 


OS  OS  OS  OS  OS 


OSOSOSOSOS       ^osososos 


lOtot^ooos      o— <wco-^      lOtot-oocj      Qri^^T      >ctor-oooi      o-^wco-^      totor^ooos      o^^wco- 


»o*o»o»o»J0      tctotctoto      cototototo      i^r—  r— 


r^r^r^r*  t^ 


1  tor-oooso 


0000000600      o6ooooo6ooo> 


g8Sg2£ 


SJ5S? 


^  ■»»-  -.f  lO  'C 


0-<fOC«<0 

000  —  -H 


8«c 


0-*  ooc^  to 

M-  -^  "^  tCIO 


OM'OONiO 

000— I  .-H 


^OOC^tD        O-^WDC^C 


Page  182] 


TABLE  V. 

The  Finding  of  the  Azimuth. 


5- 


8gSS2; 


J-21  OOCJO 


;35 


C»^0        O"*00C4=0        O^qOC^O         0'»f'QQC4  0         O'^'QOC^COC 


C^C^CSCOeO         -«r -^ '^Jt  lO  »0         OOOi-t'-H         MC^NCOM 


©♦-tWCO-^         in '-O  t^  CCOi         O^C^CO"^         OOt-«)<3l        o  —  C^CO-*         lOOt-OO 


NCIC^C^CM        0404040^04        coeocococo       C^COoSrtCO 


0^04  00'^  iO 


t-^  CO  CO  'T 

>  eg  CO  013; 


^Tf«0!»M04 

4A  ■«!}<  I—  01  O 

Qi-«O0CN  -^ 
00  04>0  Oi04 
r-<04o5  04CO 


Tj<0000O»O0        0>t-0»04iO        OS0OOSU5-H 

CO^OOCC       '^lO'^CMO       oo^t^o^io 


oco^oco      :oot^t^t>-     t^r*t^t'-t'      t-*t^t 


000  001  -^ 
cS  O  CD  CO  S 


t'-     t^l^t^t^t^      t>-t>-t^t^t 


a>^  i5icoco 


t^  t^  l^  t^  t- 


^00004 -HCC 

OS  b*  eo  ;o  cp  rt 

00  t-  «2  -r  ^  Q 

■^  to  '^  (>•  00  01 


ooooSoo 

I    tP  t^  Oi  O 
O^COt^ 


CO  55*0  04  CJJ 
CS  1-H  l^  ^  CO 
00  03  04  00  CO 


CO  O  "^  40  '^ 


COOOtt  O 
00  04  GO  00*0 
^04t-^  Tf 

300  oco»o 
zo  t^  r^  t^ 


t^  l- 1^  t^  t- 


rH  o>  ^  ^  r^ 
10  coioco--* 

t*  Oi'-fCOcO 
l^t'-OOOOOO 

t- 1^  t^  t-^  t-^ 


00  t^  OiTT  ■**• 
t- CO  00  cot- 
CD  00  0>^  C4 

000000  0101 


ecot^t-04 

00  t—  O  Oi  TT 

OCOCOt^  CTl 
"^  to  CO  t-  00 


10  00  040CO 
-r  o  CO  cs  i^ 

O  —  ^r-«0 

00000 


00  00  00  00  00 


CO  o  t-*  -r  CO  »o 

01  00  CO  CO  CO  CO 
01 00  I—  *0  CO  1-^ 
-f  IQ  CO  t-  00  Q? 

ocSooSo 

00  00  00  00  00  00 


)  10  04  10 

>00O^ 


:>oi  000  "M 

SOCDCOr-^ 

^00  "^  OJ  CO 
"  04  0*0  o 


O  Olt-OOt- 
'J'  CO  O  00  ■^ 
00  Oi  CD  O  04 


t^  l>  t-  (^  t- 


OS  CO  CO  !•-•  CO 

t—  .— I  o.  r-  Tf 

^  Ol  -^  QO<-i 
O^Tj^  t-OiOJ 

t^  t-  !>-  r-  00 
I>^  t^  t'^  t-^  t^ 


-*'04t-l-  O 

CO  —i  CO  CO  -H 
04  CO  <N  000 
^  CD00004 

00  00  00  CJl  05 


<eo-»'Oco      ocoooo      oo^ocoto 


!>.  OOO-" 

"'f  OiQ  O-n- 

co»o  000  o> 

O^  O)  05  05  o 


t-  CO  O  OJCO 


r^  oco  -^  CO 


00000 


3  TJ4  lo      o  r-  c 


t- 1^  t- 1^  t-      l>  t- 1- 1- 1- 


00  WOO  00  00 


OOOOrl 

0606060606 


CO  CO  o  r^  CD  00 

QQ  t>- CO  »0  »0  04 

Oio  --roiooo 


s« 


000000000000 


04»0  ^  QOiO 

04  --^ooTr  o5 

00  t^CO  rH  -- 

JCOCOCO         lOCOOCD 
ISOf-iOJ        00^^10*0=0 


04  -O  --D  O  CO 


t-  »0  O  O  CO 


OiCNOOOltO        0104*0000^ 


OOOC 

?3^ 


It--  o      ^04  •-•  o>- 

tOCO        lOt-  OiOCO 
I  05  05        o>  0>  O)  O  O 


t^  t^  t^  t-  t^   !>  t-  l-»  I'-  t>.   t-  t>  t-  00  00 


t-  Ot-CO  Oi 
CO  t—  01  lO  'J* 
00  Oi  "^  O  CO 
"Tj"  to  t^  ^  O 

0000^ 
0606060606 


Oi  CO  CO  CO  00 
00  t-  <->  O-r 
CD  0104  Tp  lO 
^C4  f  *0  CO 


•-I  -^  000  01 


r^  00  oio<-» 


OiCOCOOO'-" 
OS  00  TT«  1--  CO  -^ 
10  -^  CO  "-I  01 1— 
04  CO  "^  *o  *o  '© 

O4O4O4  04O5C4 


0000000000        0000000000        000000000000 


04»0  f-tOOiO 

1-H  o  t-  CO  ^ 
coo^ooo  t- 


04  CO  O  O  CO 
CO-H  t-oo-^ 
•OCOQ004»0         _,-- 

locooco^o      t-g>>--<coco 


COt^t^t^         t*t>"t^t 


t-  t-  00  00  00 


t-iO  ooco 

^=.::<coco 

O  O-— '   i-H   i-< 

0606060606 


t^  CD  t^  CO  Oi 
t-  CO  00  ^r  CO 
00  "^  Oi  -^  00 
O  OOOl—'O* 
^  ^  ^0104 

0606060606 


01  "Ci  CO  CO  00 
t-  CO  OOiCO 

.-H  TJ<  I--  CO  O 


O4  04O104O4 


•-1  rj  00  CO  o> 

T  004^  CD 

•::;04O4  04  ^ 

0^04  CO '^ 
CO  CO  CO  CO  CO 


CJiOcOQO*^ 

SI-CO^  »0  CO 
01  CO  CO -^o^ 
lO  »0  3  l:^  00  Ci 
CO  CO  CO  CO  COCO 


00000000  00 


00  00  00  00  00  00 


TT  000  CO 
»0  JO  "^  04 

i  00  00*0  00 
00  ^H  CO 'a* 


CiOl*004  O         - 

0>00*OCO'*         OiOt     . 

r-i00400CO  t-.O4*OQi04 

kocot-t^oo  ooaaa>o>o 


)O304--D04        CO'-HOcOa>        C004C0Oi»O 


I  CO  CO  CO 

04  C>  »o  01 04 

SCO  004*0 
O  r-(  r-t  »-t 


t-004*00l  0i0t^0404 

CO  TT  CO  "-H  00  *Q  i-H  CD  i-H  10 

t^O><-HC0»O  cD00Oii-<O4 

rH^O404O4  04  04  04  CO  CO 


304  0iOi-f 
*0  00l>'O4 

00  -H  CO  *0  t^ 

CO  lO  CO  h-00 
CO  CO  C 


CO^-t^t-        t>-t*t--l^t>-        t-t^t^t^OO        0000000000        0000000000         0000  0000  00 


icococo 
0606060606 


t^O'^04iO 

04  CJl^  0*0 


00  00  00  00  00 


*0  04  OiCD*0  t- 

t--  CO  *0  CO  rH  OJ 
Tf  10  CO  t^  00  00 

060606060606 


)04000        p 

)cococo       * 
?^t-04 


COOICDCO        t^OOOOiCO         O'^'^OO-^ 


Oi04  ■V  »0 


O>0Q3!O4CO  0001CD004  — (Ol-^gOf- 
iO  CO  O  CD  <-•  *oo3cor-o  co»ooooc 
cj5r-oooooi      o>oiOOi-H      FHr-tr-ic4c 


QO  rH  COCOi-l 
04  00  0^  000 

*0  t-  01  .-H  CO 
CI  04  04  CO  CO 


t—  CD  O  01  CO  " 
t^  O  CO  'T  CD 
i-«  CO  -^  *0  CO 


r»t^000000       0000000000        OOOOOOOOOO        OOOOCOOOOO        0000000000 


01  03  CO- 
-0  0  04' 

-0000c 
I-  00  Oi  <:_ 
■^  ■»3»  ■^  »o  *o 

0606060606 


CO  OC^i-^CO 

'  •00 00 op t- 
■  oooiO-H 


r—  ^  r-i  00 1—  05 
CO  t^eo*o»Q  04 

g*Q  ^04000 
04CO'<3«  *oo  o 
*o  *o  *o  *o  *o  *o 


00  00  00  00  00  00 


"*  OOOCD 

*o*o -^  04 

Io4  040« 


OC0*0  CD 


OOrH  r-  '(t*  ^ 


*0  00  CD  t-O 
•O  04  *0  (^  CO 
*0  CD  cot-  Oi 
04C0OC0C0 

oo«-*  •-<  1-t 


00  M  04  CD  04 

OOcOCOCO 
00  CD^  10  00 
Oi04  »Ot-  0> 
F-t  04  04  C"  — 


iC4  04 

0606060606 


eo^  coo  1: 

t^  O  04  *0  C 
01  O  OJ  I-  " 


S04C0Oi*O 
*0  t^04C4 

»-<04"**or- 

0606060606 


*Q  04  0101  'T 
cD*O00t^04 
^  t—  Oi  r^  CO 
00  0*004  CO 


Tj«  TT  *0  »0  ^ 
•^f  »0  CD  t- 00 

*o  *o  *o  *o  )0 


*0  04  0>CO*Ot^ 
I-  CO  ^  -^  ■*  -H 

CO  04  •-<  Oit-  *0 
OJQ-H  1-1  04C0 
10  OCOOCO  CO 

060606060606 


.e^t-t^r-     OOOOOOOOOO 


OOOOOOOOOO 


OOOOOOOOOO       OOOOOOOOOO 


iOOCOQQ 

5co*o  CO 


J  »-H  t-  ■*  »-*        »0  00  O  t—  CO 


aS04  Oit-t- 
00  CO  0)00  CO 

t—  00  o>  01  o 


01^-^cD04 
t^       CO  -^  .-H  *o  t- 


00  04  04004 

SOliO  *0  04 
CO  OCOO 
1000  OCO  10 
04  04  CO  CO  CO 


Sr-i  O  CD  Oi 
05  — <  Tf"  00 
t>-.  t^  t-  u?  04 

r-  oii-Hco  o 

CO  CO  "^  f  ^ 


C0  04COC5l*0 


*0  O4a>0i-*J' 
04  *0  t>-  Olft 

"   ~i  o  t-  o: 


*  *o  '^        - 

M0*O*OtO 

0606060606 


t--  O  ^  04  *0 
^H  00  O  01  ■'T 
04  04  CO  04  04 

g^c4eo"^ 
CO  CD  CD  CO 


S04  OS  CD  lO  r- 
WJOCOCO  O 

*0  ^Ot-OT  01 
CO  CO  CO  CO  CD  "O 

06  06  06  06  06  oi 


t-t-t-t-        t-t-r-t^OO        OOOOOOOOOO        OOOOOOOOXf        OOOOOOOOOO        OOOOOOOOOO 


OOOOOOOOOO 


8  cot- CO  00 
COCOr-icO 


'^  h-CO  ot- 
OiOO<Q04  01 

T!»COOOOQQ 
CO^OOCOM 
00  0>  O)  O  o 


^  -t"  04  CO  04 

CO04  »0(-  CO 
^■-|  04  CO  00 


CO  t-  ^H  ^r  i- 


t-  t-  t-  00  00 


'^tOC 
COt^f 
.-<^04  04O4 

0606060c  06 


O  OS  O  CO'  04 
OCOOOOO 


00  00  CO  C 


CO  CO  CO  CO  ^ 

06  06060606 


O>00C31*O  rH 


SS: 


O^-fCDOOrH       04CO»OCDOO 
Tt<rj«'^'tr*0        10*0*0*0*0 


OOOOOOOOOO        OOOOOOOOOO 


*0  So  CO  o 

0606060606 


COOOOp"-* 

04gg'-«  01*0 

CO  CO  ^  CO  CO 
cO  CO  CD  CO  CO 


00  00  00  00  00 


.-IOO*0  04^CO 
t—  *0  "^  "^  "^  >--• 
04  ^  OOQO*^ 
0^04C<SCO'* 

t-  r- 1^  t- 1- 1- 

060606060606 


CD04  000  Q 

804  C004CO  O 

0000*000  QQ 

I    ^  •«1'  CO  t-  00 


COOi-SDCO 
*0  <-*  OOCO 
OiCDcO  -^ 
*O0^  QOCO 


t-t-OOOOOO 


r- 04*0  0  04 

^04  04  04  CO 

0606060606 


O  '^  "^  oo-«*« 

COCD04  04O1 


>oooco*o      r-04^ 


OOOOOOOOOO 


00  :H 

^CO 
04  01 

co*o 

TT  Tf«*0»0  »0 

0606060606 


»0  Tf<  *o 

04  WCOOSOO 
CO  04  (-  —<  *0 

CDO0CT>r-^O4 

*o  *o  *0  CO  CO 


r-(t-         ^---r  ^  »-<  CO 

04^*0  ■^00 


OOOOOOOOOO        OOOOOOOOOO 


o  t^  t- 1-  r- 

0606060606 


-  ■V  «-t  00  !>■  0> 

?04  0000t- 
t-  *o  -^r  Oj  a> 

"  10  Ot-00  00 


.  t-  t—  l^  t- 1^ 

060606060606 


•^  t-  lO  o  *o 


040404eOCO        CO" 


*0  OS*0*0  04 

Tj*  .-t  r-  f-H  -rr 
004  "**'  t-  o> 


040*0  *0  00 

O  ^--H  -V  00 
*o»o  *OCOO 
^  CO  10  t-  Oi 

*o  *o  *o  *o  *o 


04  '-HO4  00Tt< 
to  ^r  CO  r-t  rH 


t-00000000        OOOOOOOOOO        OOOOOOOOOO        OOOOOOOOOO        OOOOOOOOOO 


COCO  t- t-i- 
0606060606 


O  OlCO  rH  TT 
•-I  t—  O  OS  ■»»< 

00^  00 

"»*'  *0  CO  t—  CO 

t-^  t-.  1^  r^  r- 

0606060606 


S-H  00  *0  '*'  '^^ 
*o  Ococo  O 
OS  00 1- *^  £f^ !:? 

00  0SO^04C0 

I- 1-  00  00  00  00 
060606060c  06 


O^-«04C0-n'        lOCDC^OOOl        0^04CO-^        *0  CO  r- 00  OS        0'-'C4 


0404       04C 


0^04CO'>'         *OOt'-OQOS         O^C4C0"^*O 
COCOCOCOCO         COCOCOCOCO         •^■^TT-'a'^'T* 


SSSSS32 


c^c^cacoeo      f  ^r -^  o  o 


oo->  -• 


C^CHCSCOCO        -^  *r  T  >o  »o  o 


TABLE  V. 
The  Finding  of  the  Azimuth. 


[Page  183 


a5 


•O-^OOMcO        O'^GOJN':©        O'^COMtO 
gOOO-HrH        C^C^C^CCCO        n'-<J''»r*Oic 


5  -*  OC  M  '^ 


O'»f00C^(C>        O-^QOCNcO        O-^XJC^If©        O-^OOiNO 


•  00^        O'-tC^CO'f        iO<Ot^00OS        O'-'CSC 


lOu^u^u^iO        iO*OkO^^        cOCOCDcOcD        o^'^^CC 


1^3  CO  I  -  00  Ol         O  -^  C^  CC  -f 


-CCOS        O^WfO'^        iOeor-.00OaO 


l^I^t^t^        t^t^t'-t^t*        0000000000        OOOOOOOOWO* 


CO  r*  oa  OS  CO 

0  t-.  ^  -H  ^ 

01  oso  •-•  ^ 
|^I>.00  00  00 

t-^  t^  t^  t-^  r-^ 


"icoio   Oi-^eoep^ 


c5  r 


00  00  00  00  00 


5  00  00  OO    OO  OO  OO  00  oo 


r*  t"- 1>.  t^  t^ 


■  t^t^i>.   r-.i>.t^t^t^ 


1-H  ^O  00  O  CT) 

GO  f-H  -^  CO  O 
CT>  O  O  O  --( 
OO  05  Oi  o>  CS 

t^  t-^  t^  t^  r^ 


CO  ^^  »o  ^  00  00 '<*•!© --r  Oi  05  CO  o  o>  in 

cccoof-Hco  »oi--aj^c^  -^  tool-- 00 

1— l^^HCItM  csc^cscoco  cocccococo 

O^O^O^dOs  CSOSO)0^  O)  O  O)  o>  O  Cs 


00  00  ■<*«  00  r^  -rr 

<-l  t^  (N  »Q  r-  OO 
.OO  ^ 


t^  t^  t^      t-  r^  c^  t>- 1>.      r>.  t- 1^  t^  t>. 


OSOSOOOO 
CO  CO  "^  -r  M«  -n* 
0>  QS  0>  OS  0>  0> 

t-^  t^  t>^  1-1 1^  t>^ 


ro  t'  OS  OS  O 
^  OOiO  <M  OS 

OSOSO  ^  ^ 


,-Hco  r-— *  c^ 

i-H  CO  CO  <N  OC 
CD  (N  OC.  ■»?•  OS 
CS  CO  CO  -^  ^J* 


iC  O  lO  C~     " 
lO  CO  O  t 


>  CO         OSOO  OS  ■*  iM 


^^ to  OOO  o 

OSCSO  OS  c^ 
OSOOO  i-H 


iQ  CO  r-  aD  C 
CC'  lO  o  -^  t 
M'r-oiM' 

i-H  ^  (M  (M  C 


OcOOOcOi^ 

00  l^  lO  ?^  OO 

COOO  0<NCO  .    _ 

WC^COCOCQ         COCOCOCOCO 

cmNc5(Mcs 


00  00  00  00  00        00  00  00  00  00        00  00  00  00  00        0000000000        oooooooooo 


00  00  00  00  00 


C^'^coco  - 
»o  COI^C 

CO  CO  COC-   - 
W  C^  <N  iMC 

oooooooooo 


O  O  CO  O  O  CO 
<>)  00  C^CO  t'  00 

OO^'-^-H^ 

C^  (N  CS  (N  <N  C) 

00  00  00  00  00  00 


00  c^  c^  o  r^ 

C^  t^  OSOOiC  _  -  -  .  . 

OOiOC^OSCO  COOSiQ'— lO 

lO  CO  t^  r^  OO  OS  OS  O '-H  ■— I 


OiMCOr-<r-         WCOCO(NOO        CO  CO  ^- CO  "^         OuOOOOSOS 
"~-  "  'Nt^i-H         COO'^OOtM        COOS<MiO00 


OOOOOOOOOO         oooooooooo         00  00  00  OC  00         OOOOOOOOOO         OOOOOOOOOO 


00  CO  O  OS  #0 
t-  TT  O  CO  CO 
.— I  -^  t^  OS  t-H 
00  00  00  00  OS 
CS  <M  C^  C<l  Ol 

oooooooooo 


CO  O  I^  OS  O 
OS  OS  OS  O  O 


CS  CO  -^  lO  c 


CSCO    COCOCO  CO  c 


oooooooooo      oooooooooo 


CO  CO  OS  CO  (>»  OS 

t-  r--  OO  OO  GO  cc 
OOOOO  o 

CO  CO  CO  CO  CO  CO 

00  00  00  00  00  GO 


,-(  U5  to  OS  O 

'-J'  00  O  Cs  t^ 
r*  -f  c^  00  to 

CO  t^  GO  00  OS 
W  W  iM  CI  CN 

00  00  00  00  00 


t^  fM  CO  t^  cc 

CS  00  -^  O  iO 
O  O  ^  01  c^ 

CO  CO  CO  CO  CO 


oooooooooo 


00  OS  ^H  -f  OS 
(M  TT  o  CO  OS 

^  -o  ^  o  o 
CO  CO  -f  -^  >o 

po  CO  CO  coco 

00  00  00  00  00 


lO  -^  »0  O  00 

f  r-  OO  00  *o 

»0  OS  CO  t^  ^H 

lO  lO  CO  CO  r^ 

CO  CO  CO  CO  CO 

00  00  060606 


0»0i0  OS  t--   ^  c 


00  00  00  00  00 


M  -rf  CO  06  OS 
OOOOO 
TT  -^  TT  -^  "«S* 

06  06  06  06  06 


CO  CO  WcO  10  (N 

c^ooco  c ' 

cocot^  t 


C^  00  CO  CO  00  OS 


oooooooooo         000000000000 


--*  10  'O  OS  O   t'-  C^  CO  t 


CS  OSCDCO  C 


OCO  CO  <-t  t-. 


OSOSO^C^    C^  CO  CO - 


00  0>  1— I  '^  OS 

■-H  CO  -?♦  cs  00 

CO  1-*  CO  ^  10 


*0  '^  10  O  00 
CO  CO  l^  t--  tJ* 

O  ^r  00  C^  CO 


O  »0  ^  OS  t-- 

.-(  to  00  OS  OS 
»0  lO  to  10  lO 


—I  OS  CO  (N  CO 

00  -^  O  -^  CO 
lO  CZ)  --H  CO  lO 

1-H  f-H  C^J  CN  CS 

10  to  lO  »o  »o 


oooooooooo      oooooooooo      ooooxococ      oooooooooo      oooooooooo      oooooooooo 


,  ,  .  -  ^      -  .-<  t^  C^  10  t'  00 

t^OS.-HCO-^  COI^oOOsO  «-H^HC^CS<NC^ 

c^cicococo  cocococo-^  -^ -»T<  ^  -^  -^r  -v 

iQtotOtOiO  lOtOiOtOtO  lOtOtOtOtOiO 

0606060606  0606060606  060606060606 


,  ^H  1-H  lO  CO        CO  00  OS  CO  ' 


OsWr-tOcO  OCIC^.— (t^ 

COOcOC^l--  cooOCOoOiM 

C^COCO-T"^  lOtOCDCOt^ 

lOtOtOtOtO  lOtOtOtOtO 


oooooooooo         OOOOOOOOOO 


1-t  O^H  CO  M* 
CS  to  CO  to  CO 

t^  ^  to  OS  CO 
t>-  00  00  GC  OS 

to  to  to  to  to 

0606  06  0606 


CO  O  CO  CO  OS 
050000 

to  CO  CD  CO  CO 


oooooooooo 


<N  to  t^  o  cs 

i-t  ^  ^  «  o» 

CD  CD  ^  CO  CD 

0606060606 


woooooco 

CO  to  •-'•  O  CO 
M*  CD  00  O  "-I 
CM  (NC^  CO  CO 
CO  CD  CD  CO  CO 


coo  CO  CO 
O  CO  -^  "^ 
CO  -v  10  CO  t^ 
CO  CO  CO  CO  CO 
CO  CO  CO  CO  CO 


lN(MOO<N  ^  00 

O  CD  O  TP  CD  CO 

__  00  00  OS  OS  OS  O 

coco         CO  CO  CO  CO  CO  CO 


oooooooooo      ccoooooooo      ooooocoooooo 


OS  CO  cor-.  00 

CMI>.  OscO  to 
00  to  CM  OS  CO 


So  .-4  to  CO 
CO  CO  <-<  t- 

CO  OS  L 


CD  r*  00  00  OS   o  O -— '  CM  c 

to  to  to  to  »0    CO  O  CO  CO  C 


00  00  00  00  00 


o  r-  OS  c^  t^ 

-H  CO  CO  C^  00 
CM  t-  CI  (-—« 

CO  CO  f  ***  lO 
CD  CD  CO  CD  O 

0606060606 


CO  CM  CO  00  O         00  CO  CO  r^  to 


tocococor^      i>.f^ccoooo 

cOcOcOCDCD        cOCOcOcDcO 


oooooooooo      coooooxoo 


05  r-  f-t  O  ■**« 
r-  -n"  o  "^  CO 

O  OS  OS  OS  o 
CO  coco  o  t^ 

06  06  0606  06 


■"^•O  CMO  to 


to  CM  10  to  »-* 

CM  CO  "*  to  CO 

00  00  00  00  00 


-i-j"  ^}<  O  •^  CO  o 
1-H  i^  CM  to  r*  00 

i^  t-^  GO  00  00  a5 

t^  t- 1^  t— ^^^-. 
o6o6  0606  06  06 


r*  1-4^^  to  CO 

ft  CO  00  t-  -^ 
»0  CM  OS  CO  CO 
CO  -^  ^r  to  CO 
CO  CO  CD  cO  CO 

0606060606 


CO  00  OS  CO  -^ 
OS^  ^  O  CO 
OS  CO  CM  00  CO 
CO  t—  00  00  OS 

CD  CO  CD  cD  CO 

0606060606 


-f  lO  t^  O  10 
O  CI  CM  rH  t^ 

05  "^O  -*•  00 
OSOO^i-f 
CO  t—  r—  t^i^- 

06  06060606 


CM  to  CO  to  CO 
CO  t*  ^  to  OS 

CM  CM  CO  CO  CO 

t^t^  t^  I^  t^ 


oooooooooo 


CO  ^  f-H  to 

C3S  -^  r*  00  -- 

CM  CO  OS  CM  to 

"»r  "V  rf  10  to 

r- 1—  t^  r-  r- 

0606060606 


t--  to  OS  00  CM 

CD  CO  00  CM  to 

.  .  _.    00  ^-H  CO  CO  CO 

to  to   to  CO  CO  CD  CO 


t--.  r^  r-  r- 1^ 

t>- t*  t>- t^  !>. 


oooooooooo      oooooooooo 


SOcocoos 
CO  •*»*  "^  M 
OSO  i-<  CM  CO 

r*  00  00  00  00 
0606060606 


CM  CM  00  CM  i-<  00 
O  CO  O  ^J"  CO  CO 

00  00  OoS  00  S 


ooooocoooooo 


t^-H  WtOCO 

O  tor-  CO  CO 
coc5i^  -"T  ^ 

0>00<-iCM 


00  00  OC'  00  00 


Sooosco  -?< 
O  O  Osto 

CM  CO  "^  "*  to 

r^  r^  t-  t^r^ 

06  06  0606  06 


"f  lO  t»  O  to 

OS  ^F-^OcD 
CO  CJ  r-  CM  CD 

to  to  CD  r— t^ 
t-  t^  t^  r-r* 

CO  06  06  06  06 


-H   Oi-HCD   TP 

.-(  TT*  to  -^  C-l 

»-4  to  osco  r- 

00  00  «)  OS  OS 


CD  1-H  ^  10  CO 
00  CO  CD  t^  I-- 

S:2;jroco 
O  O  1-H  .-« 

000000  00  00 


oooooooooo 


r^to  OS  cc  CM 

CO  OS  •-<  'J*  CO 
r-l  ^  CM  CM  CM 

00  00  0000  00 

0606  060606 


M  00  O  00  CO 

S"^  CO  OS  to 
OCMCOtO 
CM  CO  CO  CO  CO 

000000  00  00 

0606060606 


CO  OCO  CO  OS 
OS  CM  coco  —I 
cOOOOsOi-" 

OOOOOOGoS 


OOOOOOOOOO 


CM  CM  00  CM -H  00 
OS  to  O  CO  »o  to 
•-«  CM  CM  CO  CO  CO 

00  00  00  woo  00 

0606060606  06 


cor^t-*^^  CM 
»-i  to  1^  t^  -^ 

TP  ^  OOiO  CM 

■*?<  to  to  CD  r— 
0606060606 


osM*r^osO  O1— icocOt-1 

00 -H  r-i  01  CO  O  CM  CM  o  r^ 

CO  to  •-<  CO  d  00  CO  00  CO  *^ 

t^OOOsOSO  O  ^  »-i  CM  CM 

t^t^t^r^oo  oooooooooo 


OOOOOOOOOO      oooooooooo 


r-  o  t-  CM  o 

-H  •»?'  to  to  CO 
CM  CO  O  '^  00 
CO  CO  *f  f  M* 
00  000000  00 

06  060606  06 


oooooooooo 


CO --I  to  Tf  00 

CO  CO  00  CM  M« 

r-  o  CM  to  t- 
co  t-*  t^  r*  t^ 

00  00  00  00  00 
00  00  00  00  00 


00  rj«cD  -^  OS 
to  »0  CO  o  to 

01  <-»  CO  to  CO 
t^OOCCOCOO 

oooooooooo 
0606060606 


OSCOOSOStO  0000-^OOt--*" 

OSCMCOCOCM  OstOOCOtOCO 

t^0>O«-iCM  CMcO-^'^Tf"'^ 

00  00  OS  OS  OS  OS  OS  OS  OS  OS  OS 

OOOOOOOOOO  000000000000 


oooooooooo         000000000000 


OS  CO  CO  r^  GO 

t--  CM  ''T  CO  O 

05  r-  'T  .— I  00 

00  oso  »-*.-< 

r^  t^  00  00  00 

06  06  06  06  06 


to  O  CO  to  CO 
to  00  00  CO  c» 
•^  O  CO  dOO 
CMCO  CO  TT  -ff 

00  00  00  00  00 

0606  0606  06 


cOt-*OSC^r^  COCMCOODcO 

cOCOOOt-CO  OO'-tCM.— iCS 

COOOCOCCCO  r^CMCDOCO 

tOtOcOcDt-  t-^OOOOOsOS 

00  00  GO  Xt  00  oooooooooo 


OOOOOOOOOO       oooooooow 


GO  CO  CO  t^  to 
to  O  CO  -^  -^ 

OSOOOi-i 
00  OS  OS  OS  OS 

0606060606 


osr^  *-!  o  **« 

CMOS  to  OS  I-H 

CO  to  ccoco 


-fl-  -^O  -^  CO  o 
CO  CJ  I^  O  CM  CO 
00  OS  OS  O  O  O 


D  CO  CO  CO  CO   COCOCO- 


OC  00  00  00  00 


00  00  00  00  00  00 


CD  O  O  -^  to 
O  10  t  -  CO  CO 

r-4  00  to  CM  CS 

00  00  obSoo 
0606060606 


CM  r-  O  CI  CO 


00  O '-H  OS  *0    OS  •-•■-<  C7S  CO 


'  CO  OS  »*«   O  OS  o  to 


to  CM  GO  CO  OS 
cor-  t^  00  GO 
00  00  00  00  00 


OSO  O  O  ^H 
OO  OS  0\0>  OS 


«-H  CO  to  *3'  CM 
OS  CO  t^  '-'  to 
^H  CM  CM  CO  CO 


oooooooooo      OOOOOOOOOO      oooooooooo 


to  O  O  *J^  CM 
00  CO  CD  I^  t^ 

CO  CM  to  OO1-H 
CO"^  -^  -^  to 
O  OS  OS  OS  0i 

0606  060606 


CO  **■  oor^  1-t 

-  -T  t-^  -^ 
.  -  ■  OS  CM  -* 

to  to  tO  CD  CO 


to  CM  t-^  • 
— 1  CM  ' 

-  ,  J  O  c_ 
OS  OS  OS  0>  OS 

0606060606 


»-i  r- OS  r-- CM 

to  -rr"  CM  OS  to 

coco  O  -^  CO 

o  CO  t-  r^  t- 

OS  OS  OS  OS  OS 


oooooooooo 


CM  OS  CM  CM  00 

-•ro  t-' 000s 
t— t^  t^  t^r-- 

OS  0>  O  OS  Oi 

0606060606 


•  00  00  0000  OC 


tocor^ooos      o^wco' 


lOcOt^oOOs        O-hCMCJ" 


■^r'^'^r-^'V        tototototo        tO*OtOtOtO        (OcOcOcOCO        COCOCOCDCD 


lOCOt^OOOS        0«-»CMCOM«        lOCO^^0CO>        O-HCM 


t-  r- 1*  t^  «^ 


10  cor-^oooso 


r^t^r^      OOOOOOOOOO      00000000000s 


iO-l-OCCMcO        O-^GOCMcO        O-'TGOCMcD        O-^COCMcO        OtpooCMcD 


"OOOi-i^         CMCMCMCOCO 


000^   --H 


CM  CM  CM  CO  CO 


'OCCMcO        O-^oOCMcO        OM'OOCMcOO 


'  '^  tO  to        O  O  O  •-<  I-H         CM  CM  CM  CO  CO 


TABLE  VI 


ALTITUDE  AND  AZIMUTH  TABLES 

FOR  FACIUTATING  THE  DETERMINATION  OF  LINES  OF  POSITION  AND 
GEOGRAPHICAL  POSITION  AT  SEA 


185 


ALTITUDE  AND.  AZIMUTH  TABLES. 


The  results  which  have  been  reached  by  the  foregoing  proceedings  may  also  be 
attained  by  the  employment  of  the  following  tables,  which  are  reprinted  from  the 

Sublication  by  Lieut.  Radler  de  Aquino,  BraziUan  Navy,  entitled  "The  'Newest' 
Tavigation:  Altitude  and  Azimuth  Tables  for  Facilitating  the  Determination  of 
Lines  of  Position  and  Geographical  Position  at  Sea." 

These  are  spherical  traverse  tables  which  consist  of  the  tabulation  of  the  solu- 
tions of  the  right-angled  spherical  triangle,  just  as  the  plane  traverse  tables  consist 
of  the  solutions  of  the  right-angled  plane  triangle,  and,  by  means  of  them,  the 
astronomical  triangle  is  solved  by  suitablv  combining  the  tabulated  values  in  relation 
to  the  two  right-angled  spherical  triangles  into  which  it  may  be  decomposed  by  a 
perpendicular  conceived  to  be  passed  from  the  observed  celestial  body  at  right 
angles  to  the  celestial  meridian  of  the  observer.  Presupposing  a  knowledge  of  the 
astronomical  triangle,  such  as  is  imparted  in  the  American  Practical  Navigator,  the 

Erecepts  for  combining  the  various  elements  of  the  two  right-angled  triangles  may 
e  stated  as  depending  upon  where  the  point  in  the  foot  of  the  perpendicular  falls 
on  NS,  the  celestial  meridian  of  the  observer  (see  fig.  1).  This  is  determined  by  the 
relative  algebraic  signs  of  L  and  d,  by  the  relative  values  of  L  and  h,  and  by  whether 
t  is  greater  or  less  than  6  hours  or  90°.  Accompanied  by  an  outline  of  their  deduc- 
tion, these  precepts,  four  in  number,  are  set  forth  herewith,  reference  being  made  to 
figures  1,  2,  3,  and  4,  respectively. 


(1)  The  point  m  can  only  fall  between  P  and  Z  by  the  concurrence  of  the  three 
conditions  that  d  and  L  shall  be  of  the  same  sign  or  name,  that  t  shall  be  less  than 
90°,  and  that  L  shall  be  less  than  h.  Hence  (fig.  1)  Z<90°;  M  =  a  +  i8;  and,  putting 
Cfor90°-B,  C  =  90°-B  =  (90°-L)-(90°-6)  =  6-L. 

187 


Page  188] 


ALTITUDE  AND  AZIMUTH  TABLES. 


(2)  The  point  m  will  fall  between  Z  and  Q  when  d  and  L  are  of  the  same  name, 
if  /<90°  and  L>&.  Hence  (fig.  2)  Z>90°;  M  =  a-/3;  and  C  =  90°-B  =  (90°-6)- 
(90°-L)=L-6. 


(3)  Tlie  point  m  will  fall  between  P  and  N  when  d  and  L  are  of  the  same  name, 
if  0  90°  (and  then  the  tables  must  be  entered  with  180° -<,  instead  of  t).  Henc€ 
(fig.  3)Z<90°;  M  =  /3-a;  and  C  =  90°-B  =  (90°-L)  +  (90°-&)  =  180°- (L  +  6). 


ALTITUDE  AND  AZIMUTH  TABLES. 


[Page  189 


Fig.  4 

(4)  When  d  and  L  are  of  opposite  sign  or  name,  the  point  m  will  fall  between 
(^,  the  equator,  and  P',  the  depressed  pole,  and  reckoning  from  the  depressed  pole 
in  order  that  the  value  of  90  — (^  shall  remain  within  the  range  of  the  table,  which  is 
90 ^^  in  declination,  by  fig.  4  Z  >  90°  (from  the  elevated  pole) ;  M  =  a  +  /3;  and  C  =  90°  - 
B  =  (90  +  L)-(90-6)=L  +  6. 


SUMMARY. 

(1)  d  and  L  same  name,  <<90°,  L<6,  then  C  =  &-L,  Z<90°,  and  M  =  a  +  /3. 

(2)  d  and  L  same  name,  <<90°,  L>6,  then  C  =  L-&,  Z>90°,  andM  =  a-/3. 

(3)  (^  and  L  same  name,  i> 90° then  C=180°  -  (L  +  6),  Z<90°,  andM  =  /3-a. 

(4)  d  and  L  contrary  names then  C =L  +  &,  Z  >  90°,  and  M  =  a  +  /3. 

In  the  first  two  precepts  the  smaller  of  the  quantities  L  and  6  is  subtracted  from 
the  larger  to  get  C,  and  in  the  last  two  they  are  added.  In  the  third  precept,  when 
t  is  greater  than  90°,  their  smn  is  greater  than  90°  and  it  is  subtracted  from  180°. 
When  d  and  L  are  of  contrary  names  their  sum  is  always  less  than  90°.  By  a  glance 
at  the  figm-es  it  wiU  be  seen  that  when  Z  is  less  than  90°  in  the  precepts  its  value 
as  given  by  the  table  is  reckoned  from  the  elevated  pole  to  east  or  west  according  as 
the  body  is  east  or  west  of  the  meridian;  and  when  greater  than  90°,  in  like  manner 
from  the  depressed  pole. 

The  position  angle  M  may  vary  in  value  from  0°  to  180°.  In  the  first  and  fourth 
precepts  a  and  /3  are  added  to  find  M ;  and,  in  the  second  and  third,  the  smaller  is 
subtracted  from  the  larger. 

The  precepts  will  be  referred  to  as  occasion  may  arise.  It  is  unnecessary  to 
commit  them  to  memory,  as  they  will,  with  a  httle  use,  become  familiar. 

In  order  to  avoid  making  the  tables  too  voluminous,  a,  for  the  most  part,  is  tab- 
ulated for  every  30'  only,  and  h  and  C  for  every  1°  only.  The  double  interpolating 
that  this  would  seem  to  necessitate  may  be  done  away  with  by  any  one  of  the  three 
methods  which  will  be  explained  and  illustrated  in  detail. 

In  the  descriptions  of  the  methods  about  to  be  »iven  and  in  the  solution  of  the 
examples,  the  following  abbreviations,  almost  all  of  \mich  are  in  common  use  among 


Page  190]  ALTITIDE  AND  AZIMUTH  TABLES. 

American  navigators,  are  employed  to  supplement  the  designations  already  used  in 
the  statement  of  the  precepts  and  in  the  illustrative  figures: 

a.  m Ante  meridian.  La Latitude  assumed. 

C.  C Chronometer  correction.  Lp  r Latitude  by  dead  reckoning. 

C.  T Chronometer  time.  L.  A.  noon Local  apparent  noon. 

C  —  W Chronometer  minus  watch.  L.  M.  noon Local  mean  noon. 

Corr Correction.  L.  A.  T Local  apparent  time. 

d Declination.  L.  M.  T Local  mean  time. 

Dev. . ; Deviation.  L.  S.  T Local  sidereal  time. 

Diff Difference.  X Longitude. 

D.  R Dead  reckoning.  Xa Longitude  assumed. 

Eq.  t Equation  of  time.         .  Xd.  r Longitude  by  dead  reckoning. 


.Altitude.  p.  m Post  meridian. 


h^ Approximate  altitude.  p.  s.c Per  standard  compass. 

hg Calculated      altitude      from     K. A Right  ascension. 

tables.  R.  A.  M.  S Right  ascension  of  mean  sun. 

ho Observed  altitude  (corrected),     t Local  hour  angle. 

h^ Sextant  altitude.  ^a Assumed  local  hour  angle. 

H.  D Hourly  difference.  4 Greenwich  hour  angle. 

I.  C Index  correction.  <d.  b Hour  angle  from  dead  reckon- 

G.  A.  noon Greenwich  apparent  noon.  ing  meridian. 

G.  M.  noon Greenwich  mean  noon.  Var Variation. 

G.  A.  T Greenwich  apparent  time.  W.  T Watch  time. 

G.  M.  T Greenwich  mean  time.  Z True  azimuth. 

G.  S.  T Greenwich  sidereal  time.  Z/ Approximate  azimuth. 

L Latitude.  >|< Star  or  planet. 

FiKST  METHOD. — Using  an  assumed  position  and  simple  interpolations.  The 
usual  procedure  by  the  Saint  Hilaire  method  of  fixing  a  Une  of  position  has  been  to 
determine  the  distance  from  the  D.  R.  position  to  the  line.  The  Une  may  be  just  as 
accurately  fixed  by  determining  its  distance  from  any  assumed  position  near  the 
D.  R.  position.  In  the  first  two  methods  advantage  is  taken  of  this  choice  in  position 
by  assuming  a  position  such  as  will  give  a  value  to  a  of  an  even  half  degree  and  to  C 
a  whole  degree.  The  solution  of  the  triangle  by  means  of  the  tables  is  thus  simplified 
by  having  tabulated  values  of  a  and  C  with  which  to  work. 

The  method  of  determining  the  assumed  position  appears  in  the  description  of 
the  procedure  which  follows:  Given  d,  Ld.e.  and  tj,,^^,  to  find  h,  Z,  Xa,  and  La-  Ent«r 
the  tables  from  below  with  the  nearest  value  of  5  as  tabulated,  and  i^,^,,  take  out  a 
to  the  nearest  30' .  Reentering  the  tables  from  above  with  this  a  and  with  the  given 
d,  by  a  simple  interpolation  the  corresponding  values  of  6  and  t  are  obtained.  These 
are  exact  values  of  a  and  h  corresponding  to  the  given  d  and  an  approximate  t.  Now, 
takhig  this  t  as  tj^  and  combining  it  with  the  Iq  (Greenwich  hour  angle)  gives  X^ 
near  the  D.  R.  position.  Assuming  this  new  longitude  from  which  to  plot  the  fine, 
proceed  with  the  above  values  of  a  and  6.  As  previously  explamed,  b  is  combined 
with  L  to  get  C.  C  is  only  tabulated  to  whole  degrees,  so,  in  order  to  again  avoid 
interpolating,  assume  as  the  latitude  from  which  to  plot  the  line  the  nearest  value 
to  the  D.  R.  latitude  that  will,  when  combined  with  h,  give  C  in  whole  degrees. 
Having  for  the  assumed  position  exact  tabulated  values  of  a  and  C,  take  directly  from 
the  tables  the  corresponding  values  of  h  and  Z. 

Comparing  this  he  with  the  observed  Ji,  gives  the  altitude  difference  and  the  line 
is  plotted  from  the  assumed  position  for  which  Jic  was  obtained. 

Example  1. — A.  M.,  December  30,  1916,  sextant  altitude  of  sun's  lower  limb  is 
23°  54',  bearing  south  and  east.  W.  T.,  9^  25'"  18«;  C-W,  4*^  58°^  00^;  C.  C, 
+  3'"45«;  height  of  eye,  37  feet;  I.  C,  +2'.0;  D.  R.  position,  L.  =  29°  11'  N.,  X  = 
78°  29'  W.     Solve  for  fine  of  position. 

Solution  in  detail:  See  page  192  (Form  1).    Enter  all  the  given  data  in  the  proper 

g laces  as  indicated  in  the  form.     Start  with  the  W.  T.  in  line  1  and  work  down  until 
r.  M.  T.  with  date  is  found  in  hne  5. 

From  the  Nautical  Almanac  enter,  for  December  30,  G.  M.  T.  2**,  the  equation  of 
time  and  decUnation  with  their  proper  signs  on  lines  4  and  11,  respectively,  and  their 
respective  hourly  differences  for  the  day  with  their  signs  on  lines  1  and  8  (second  col- 
umn). Correct  the  equation  of  time  and  declination  for  the  difference  in  G.M.T.  (27™), 
getting  the  corrected  values  in  lines  5  and  12.  Enter  the  equation  of  time  in  line  7. 
Applying  it  to  the  G.  M.  T.  gives  the  G.  H.  A.  in  Line  12.  This  is  immediately  con- 
verted into  arc  and  entered  in  both  columns,  line  14.  Combine  the  G.  H.  A.  with 
Xd.r.  (lines  14  and  15,  left-hand  column)  and  obtain  <d.  e.     Now  enter  Table  ^^  from 


ALTITUDE  AND  AZIMUTH  TABLES.  [Page  191 

below  with  d  =  2S°  and  <d.  r.  =42°  23';  taking  out  a  to  the  nearest  half  degree,  enter 
in  line  IS,  o  =  38°  30'.  Reenter  the  tables  from  above  with  a  =  SS°  30'  and  d  = 
23°  10'.3,  and  by  interpolatiiig  *  take  out  6  =  30°  11 '.3  and  <a.  =  42°  37'.4  and  enter 
them  in  right-hand  column,  lines  21  and  15,  respectively. 

The  dechnation  and  latitude  being  of  different  names,  the  problem  comes  under 
the  fourth  precept,  so  C  =  6+L.  It  is  seen  at  once  that  the  value  nearest  to  Ld.k. 
that  will  give  C  m  whole  degrees  is  28°  48'. 7.  This  is  entered  as  the  L^  in  line  18.* 
C  is  now  found  to  be  59°  00'.  Turning  again  to  Table  VI  where  a  =  38°  30'  and 
C  =  59°  00',  take  out  Tie  =  23°  46'  and  Z  =  42°  52'  and  enter  them  in  line  25.  From 
Table  I  enter  in  Une  21  the  combined  altitude  correction.  With  this  and  the  I.  C.  the 
total  correction  is  obtained  for  line  22.  Applying  the  same  to  ^9  gives  ^o  =  24°  04'. 3. 
The  altitude  difference  (ho  —  Tio)  is  18'. 3,  which,  since  the  observed  altitude  is  the 
greater,  must  be  reckoned  toward  the  observed  body  from  the  assumed  position  in 
order  to  find  the  point  through  which  the  line  of  position  passes  at  right  angles  to 
the  bearing  of  the  observed  body. 

The  azimuth  of  the  body  being  greater  than  90°  (see  precept  4)  and  t  being  east, 
Z  as  taken  from  the  tables  is  S.  42°  52'  E,  or  the  body  bears  137°  from  north. 

Combining  lines  14  and  15  (right-hand  column)  gives  as  the  assumed  longitude 
78°  43'.2  W. 

The  assumed  position,  then,  from  which  to  plot  the  line  is : 

L^.  28°  48'.7  N. 
X^.  78°  43'.2  W. 

The  altitude  difference  is  18.3  miles  toward  the  body  bearing  137°,  and  the  line  of 
position  is  at  right  angles  to  the  bearing. 

Example  2. — May  23,  1916,  during  p.m.  twiUght,  sextant  altitude  of  star  a  Leonis 
(Regulus)  is  66°  18'.2,  bearing  S.  and  W.;  W.  T.,  6^^  45"°  18«;  C-W,  4^  18"°  02.0«; 
C.  C.-3°^  45.5«;  I.  C,  0.0;  height  of  eye,  39  feet;  D.  R.  position,  L.  34°  38'  N, 
X  65°  12'  W.     Solve  for  Une  of  position. 

See  page  192  (Form  1).  Enter  in  the  form  all  the  given  data  and  get  out  the 
G.  M.  T.  and  date  as  before.  From  the  Almanac  enter  the  star's  R.  A.  in  line  1 1 ; 
d  in  hne  12  (right-hand  column) ;  R.  A.  M.  S.  for  noon  23d  in  hne  8;  and  the  correc- 
tion to  the  R.  A.  M.  S.  for  G.  M.  T.  in  line  9.  The  G.  S.  T.  (adding  hues  5,  8,  and  9) 
is  found  to  be  15^^  04"^  26. 5^  Subtracting  from  the  G.  S.  T.  the  star's  R.  A.  gives 
G.  H.  A.  =  5^  OO'^  30.3^  Convert  the  G.  H.  A.  mto  arc  and  enter  in  both  columns 
hne  14.     Combining  the  G.  H.  A.  with  X^  ^  gives  t^  ^  (line  16)  =9°  55'.6. 

Enter  Table  VI  from  below  with  d^\2°  30'  and"^.R.  =  9°  55'.6  and  take  out 
a  =  9°  30'  (nearest  30').  Now  enter  same  table  from  above  with  a  =  9°  30'  and 
d=\2°  22'.6  and  bv  interpolating  take  out  6  =  12°  33. '3  and  t^  =  ^°  44.'0.  Enter 
them  in  lines  21  and  15,  respectively.  The  latitude  and  dechnation  are  of  the  same 
name,  t  is  less  than  90°,  and  L  is  greater  than  6,  so  this  problem  comes  under  the 
second  precept  and  C  =  L—  6.  It  is  seen  at  once  that  the  nearest  value  to  Lp.  r.  that 
will  give  C  m  whole  degrees  is  34°  33'.3.     Enter  this  as  L^  m  line  18.     C  =  22°"ob'. 

Turning  again  to  Table  VI  where  a  =  9°  30',  opposite  C  =  22°  00'  take  out  /2,o  = 
66°  08',  and  Z  =  24°  04'  and  enter  them  m  hne  25. 

From  Table  I  enter  in  line  21  the  combined  altitude  correction  and  obtain 
^0  =  66°  11 '.6.  The  altitude  difference  (ho  —  Jic)  is  3'. 6,  and  as  the  observed  altitude 
is  the  greater  the  line  of  position  is  toward  the  body.  The  azimuth  of  the  body 
being  greater  than  90°  and  t  being  west,  Z  as  taken  from  the  tables  is  S.  24°  04'  W., 
or  the  body  bears  204°.  Combining  lines  14  and  15  (right-hand  column)  gives  as 
the  assumed  longitude  65°  23 '.6  W. 

The  assumed  position,  then,  from  which  to  plot  the  line  is: 

La  =  34°33'.3  N. 
Xa  =  65°  23'.6W. 

Tlie  altitude  difference  is  3.6  miles  toward  the  body  bearing  204°,  and  the  line  of 
position  is  at  right  angles  to  the  bearing. 

*  To  make  the  interpolation  easy,  the  columns  headed  —  and  —^  are  supplied.    Thus,  b  is  first  interpolated  from  d  using 

column  — ;  and  then,  using  this  value  of  6,  column  -=-  is  employed  in  interpolating  the  value  of  ^a. 
A  60' 

The  procedure  in  the  present  example  is  as  follows: 

8/3  X  1.'36  +  30°  gives  6  30°  11. '3 
and  11. '3  X  0.'30  +  42°  34'  gives  U.  42°  37.'4 


Page  192] 


ALTITUDE  AND  AZIMUTH  TABLES. 


■ 

1 

1 

! 

1 

I 

i 

■ 

a 

! 

1        1 
1        1 

C>9 

^^ 

i 

^ 

t 

i 

i         1 

'    O    !          1 

t— 1 

CO   o 

CO 

CO 

eo 

o 

^ 

^ 

_  .a 

1 

! 

J 

^ 

o  -^ 

CO 
IM 

eo 
CO 

CO 
00 

8 

s 

O 

O 
.CI 

o 

lO   OS 

Id 

CD 

eo 

i 

(M 

I-H 

1 

(M 
<M 

o 
(M 

t 

ad 

pj 

■*^       <-> 

Q 

t 

1 

OoJPh 

D-        6' 

o 

[ 

J3 

ea 

Time:  6. 
Beaiine: 
Long.  D. 

B^ 

w    w 

H 

^ 

1 

fH 

iJ 
A^ 

M  d    o  pt5    pi 

W  d 

o 

: 

: 

>c 

d 

^3 

2 

i 

$ 

^ 

1 

X 

i 

, 

^^ 

^ 

K 

O    lO 

lOI 

iffl,   -"T 

»0    (M 

eo 

CO     O 

CO 

O    CO 

CO    (M 

CO    O 

CO 

00    IM 

o  »c 

■<}' 

eo   00 

CO     CO 

o 

r-    IM 

lO 

o         o  <o 

CO    00 

^     00 

CO 

i-t    o 

M   f 

eo 

O   Tr 

(M  la 

eo 

O    1-1 

lO 

eo 

l-H 

l-H      O 

lO     CO 

CO   eo 

05 

eo    f-i 

•^    eo 

o 

o 

lO   m 

OS 

a» 

CO 

CO   CO 

-^     r-l 

o 

»rt 

o 

o  o 

o 

t^     CO 

1 

CO 

O     CO 

in     . 

«3     ■<*< 

l-H 

Oi 

1        ^ 

iC    o 

la 

,       i 

(— ( 

l-H  1 

rt     r-( 

1 

CO   3v 

■           1 

1        + 

' 

1 

• 

05   <1>CC 

1 

1         1         1         1          1 

'-'Pho 

§f^^ 

CO 

(                       I          i          ] 

I^^P^ 

(M 

«^    ! 

1 

1 

d 

W.  T. 
C-W 

C.  T. 
C.  C 

G.  M.  T, 

s 

H' 

< 

1           !  *^ 

1  s 

w  Ph'  6    d  P5    d 

«        !    ■  ds!    fci 

1^' 

0 

.^ 

lO 

i 

iCi 

I' 

l-H 

05 

05 

05 

(M     -^ 

O 

O 

eo 
o 

^  w 

P4 

i 
i 

>    >-^ 

cc 

CO 

i—t 

I— 1 

i^       'z 

s 

'     IM 

IM 

1        'o 

eo 

eo 

00   •^ 

IM           t-                 eo 

o 

^. 

■  S 

■  ji 

(M 

■  o 

1 

IM 

+ 

IM 

lO    r>- 

o   eo 

o 

CO    <M 

eo    -<*< 

eo 
00 

00 
00 

l-H 
l-H 

o 
eo, 

<2 
to 

(M 

lO 

aj      to 

d                   '-^    o 

ft 

.9 

e«    .  •: 

+j         *i 

; 

m 

i 

OOSPh 

^ 

ec 

d*     & 

1 

o 

^ 

oi  mQ 

e        B   a 

'     ^        -^ 

>, 

^^ 

V.S    • 

<N 

i 

*^ 

PL4 

O-g  be 

Q  S     ^  <i    ^ 

^    ^         g      ^ 

o 

i 

s 

hm3 

W  d     Q  P3     P3 

W  d    6  Q    -« 

<    ^ 

^^       'J 

i 

.o 

O 

I 

i 

""  1 

5 

1 

1        ,  ■  ■ 
1    1    1    1 

^   ^ 

1      '      i               II 

o 

><! 

O  ■ 

}a>\      1      ! 

r-H               00     O 

<M                     o   eo 

CO    o 

CO 

o 

00 

^ 

00    O                 lO 

eo  ' 

OS  ' 

• 

f-t    o               -^ 

o 

eo 

c5         lb   OS 

eo         o 

<M    00 

o  -^ 

■^ 

CO 

00 

a 

O    M 

c<i          eo 

l-H     lO 

o 

Tf 

r-< 

lo   00            ec 

t^ 

<M 

■^           o 

(M              CO     00 

IM    U5 

iM 

£2        "» 

CO 

•f 

CO 

^          eo   t- 

■<*<               CO 

•M 

IM 

IM 

OS 

■<i* 

(M 

IM 

! 

1 

«;    ^ 

+ 

1 

c  1 

+    + 

+ 

1 

^ 

i 

i   1 

1 

j 

a> 

td 

eoCCiM 

^ 

1  l^i 

d   b 

Q  o    . 

H 

1 

H 

d 

'      .    ^.                 ^                 ^. 

c3     «■ 

ei 

« 

b 

1 

Q 

1 

^ 

1 

d  d    d 

w  P5  6    d  «    d 

J5     o 

^6 

o 

O 

n 
.« 

o' 

-4' 

.JS     72  ^J 

I— i 

<N 

eo 

^ 

id 

?o' 

t^   00   ai 

s 

1— i 
r— 1 

(M 

l-H 

eo 

■"t"   lb 

l-H     i-H 

CO 

l-H 

l-H 

00 

I-H 

oi 

l-H 

s 

ti 

(M 

eo 

(M 

iM 

IM 

40 

ALTITUDE  AND  AZIMUTH  TABLES. 


[Page  193 


^ 
..^Q 


0"i 

s 

o 

K 

■— N 

.— V 

-tj 

-^ 

H 

«  1^ 

£: 

-< 

< 

w  o 

c^^ 

rt 

tf 

M  c 


14 


CQ 


d  d 


9^ 


02 


d  P3 


m 
6 


.    o 


o  ^• 


00 
O 


CO 

o 

t^ 

fH     » 

r^ 

W 

, 

o 

V 

M 

o 

t^ 

CO 

CO 

Pi 

;       I 

00 

a 

CO 

oo 

rH 

00 

o 

o 

o 

^  w 

'  \ 

eo 
o 

CO 

^ 

a 

o 

o 

Oi 

CO 

o  OS 

Oi 

t^                t* 

o 

CO 

o 

00 

00 

1 

+  + 

^' 

CO     OS 

CO 

I-H 

CO               CO 

CO                     CO 

fH                          O 

(-H 

o  ' 

W_ 

^^ 

o 

CO 

CO 

-«»>                       CO 

CO 

t^ 

a.  m. 
and 
.:  32^ 

< 

o 

,_^ 

1 

(K 

i 

1       i       ! 

1         1 

l—t 

godPH 

1 
1 

( 

i 

•g 

«       «!>•§  bio 
M        S   S   O 

Eh' 

W 

W 

Eh' 

o 

-  o  s 

ii 

<i 

<j 

Q  S 

c  s^ 

6 

1 

il     .  H  05  o 

W  6 

6 

P3 

tf 

W  d 

T3 

Li 

< 

< 

^ 

J 

.o 

o 

ba 

O. 

' 

a 

^ 

^ 

m 

1 

c2^ 

lO    o 

la 

o  o 

CO     1— 1 

t^  t^ 

O 

iC 

00 

CO 

O 

t^    o 

CO 

« 

?»  o 

lO 

00   00 

t^   00 

CO   t^ 

03 

OS 

o 

r-t 

O                r-H 

CO 

00 

OS 

o  la 

■^ 

CO     r-l 

r-H 

TJ<   ^ 

■>r     r-H 

^a    ft 

CO 

o 

1— ( 

O 

CO 

CO 

CO    CO 

a 

O    U3 

rH 

o  «o 

O    CO 

O    00 

CO 

o 

CO 

CO 

o> 

00 

t- 

t>   b- 

iO     f-H 

o  o 

CO 

TJ<      O 

CO 

CO 

CO 

CO 

CO  CO 

2 

§3    C>1 

+ 

00 

o 

CO 

1— I 

+ 

05     00 

rH 

1 

+ 

-fliO 

1 

lo  C-<ij< 

•-4  ^  _ 

^ 

;ober  : 
:  Sati 
.:  41° 

T? 

ai 

J 

. 

H 

1—1 

s 

E^       1 

<\ 

2 

' 

S 

1 

ei 

d 

S 

Eq.  t. 
R.  A. 
Corr. 

CQ  <i 

w 

o 

«' 

M 

d 

t    t 

1                      ; 

^i 

d 

d 

d 

d  (S3 

d 

< 

a 

OJ              I-H 

o       o 

O      U 

-^    -1^ 

ti  S*^ 

>-i    CO 

CO 

■*' 

o 

?d 

t^     00     05 

O     rH 
fH     i-H 

ci    CO 

I— (      I-H 

fH 

I-H     I-H 

00 
1-H 

OS 

1-H 

§ 

1-H 

CO 

CO 
CO 

eo 
eo 

CO 

CO 

CO 
CO 

55901= 


Page  194]  ALTITUDE  AND  AZIMUTH  TABLES. 

Example  3. — October  15,  1916,  during  a.  m.  twilight,  the  sextant  altitude  of 
Saturn,  bearing  S.  and  E.,  is  67°  29';  W.  T.,  5^  50°>  22.5«;  C-W,  2^  15°»  10«;  C.  C, 
+  !«•  15.5";  height  of  eye,  42  feet;  I.  C,  -I'.S;  D.  R.  position,  L.  41°  45',  X 
32°  10'  W.     Solve  for  line  of  position. 

See  page  193  (Form  1).  Enter  in  the  form  all  the  given  data  and  find  the  G.M.T. 
and  date  as  before.  Take  from  the  Almanac  and  enter  Satm'n's  R.  A.  and  d  for  G.  M. 
noon  15th,  the  corrections  for  G.  M.  T.  from  Table  IV  of  Almanac,  the  R.  A.  M.  S. 
for  G.  M.  noon  14th,  and  its  correction  for  the  G.  M.  T. 

Correct  the  R.  A.  and  the  d  and  enter  the  corrected  R.  A.  in  line  11.  Nowwork 
down  the  form  as  in  example  2  and  find  in  line  16,  ^d  r  =9°  01'.  Enter  Table  VI 
from  below  with  d  =  20°  00^  and  f  =  9°  00',  take  out  a  =  8°  30'  (nearest  half  degree). 
Reenter  same  table  from  above  with  a  =  8°  30'  and  ^  =  20°  12'. 7  and  by  interpolating 
take  out  6  =  20°  26'. 7  and  t^  =  9°  03'. 9.  Notice  that  this  problem  also  comes  under 
the  second  precept,  so  C  =  L-&.     Taking  L^=41°  26'.7,  C;  =  21°  00'. 

Turning  agam  to  Table  VI,  where  a  =  8°  30'  and  C  =  21°  00'  take  out  Tic  =  67°  25' 
and  Z  =  22°  38'.  The  altitude  difference  obtained  as  before  is  4'. 3  from  the  body. 
Z  as  obtained  is  S  22°  18'  E  (greater  than  90°  and  t  is  east)  or  body  bears  157^°. 
The  \j,  is  found  as  before  and  is  32°  12'.9  W. 

The  assumed  position  then  from  which  to  plot  the  line  is: 

La  41°  26'.7  N. 
X^  32°  12'.9  W. 

The  altitude  difference  is  4.3  miles  away  from  the  body  bearing  157J°  and  the  line 
of  position  is  at  right  angles  to  the  bearing. 

Second  method. — Using  an  assumed  position  without  interpolating.  In  this 
method  a  is  found  to  the  nearest  half  degree  as  in  the  first  method.  Now  instead 
of  entering  with  a  and  the  given  d  and  interpolating  for  h  and  t,  enter  with  a  and 
take  out  h  and  t  as  found  opposite  that  tabulated  value  of  d  which  is  nearest  to  the 
given  d.  This  tabulated  value  is  taken  out  as  the  assumed  d  and  marked  d'.  C  is 
obtained  by  combining  b  and  L  in  the  usual  way.  As  6  in  this  method  will  be  in 
whole  degrees,  L^  is  taken  as  the  nearest  whole  degree  to  L^.r.  Now  with  a  and  C 
take  out  h'  and  Z'  (approximate  values  of  h  and  Z).  The  values  of  h'  and  Z'  are  in 
in  error  by  an  amount  depending  on  the  effect  of  Ad  =  d  —  d',  the  difference  between 
the  assumed  and  the  true  declination. 

The  correction  to  Z',  AZ,  is  always  so  small  it  may  be  neglected  in  practical 
work. 

The  correction  to  h',  Ah,  is  given  by  the  formula: 

Ah  =  Ad  cos  M 

M,  as  previously  shown,  is  a  combination  of  a  and  /3.  So  when  taking  out  b  and 
t  from  the  tables  also  take  out  the  corresponding  a;  and  likewise  /3  when  taking  out 
h'  and  Z'.  The  manner  in  which  a  and  /?  must  be  combined  to  give  M  is  shown  in 
the  precepts. 

To  find  the  value  of  A^  per  minute  of  declination,  or  its  equivalent  cos  M,  enter 
the  second  column  of  Table  VII  with  90°  —  M  instead  of  Z'  in  the  first  column.  The 
sign  of  A?^  is  determined  as  follows : 

When  M  is  less  than  90°,  Ah  has  the  same  sign  as  Ad;  and  for  M  greater  than 
90°,  the  opposite  sign. 

The  three  examples  worked  out  by  the  first  method  will  now  be  used  to  illus- 
trate the  second  method. 

Example  1. — See  page  196  (Form  2).  The  procedure  is  the  same  as  in  the  first 
method,  down  to  and  including  the  determination  of  a.  Now  enter  Table  VI  with 
a  =  38°  30'  and  find  d' =  23°  02'  (the  tabulated  value  nearest  to  the  given  d).  Enter 
it  in  the  form,  line  12,  and  take  out  and  enter  the  values  of  b,  tj,,  and  a  as  found  oppo- 
site d\  Now  take  La  =  29°  00'  (the  nearest  whole  degree  to  Lp.  r.).  C  is  now 
obtained  by  combining  b  and  L^  as  before,  and  this  gives  0  =  59°  00'. 

With  a  =  38°  30'  and  0  =  59°  00',  take  out  h',  Z',  and  /3.  As  this  example  comes 
under  the  fourth  precept,  M  =  a  +  /3  =  140°.l,  Ad  =  d-d' =8'.3. 

Entering  the  first  column  of  Table  VII  with  90°-M  =  90°- 140°.l  =50°.l,  cos 
M  is  found  to  be  0.77,  and  this  multiplied  by  AcZ  =  8'.3  gives  6'. 3  as  the  value  of  A^. 


ALTITUDE  AND  AZIMUTH  TABLES.  [Page  195 

Referring  to  the  i-ule  given  above  for  determining  the  sign  of  A/i,  it  is  seen  that 
as  M  is  greater  than  90°,  and  Ad  is  plus,  A^  is  minus.  Applying  A^  to  h'  gives  he 
23°  39'. 7.  The  altitude  difference  is  24'. 6.  Neglecting  AZ,  the  bearing  of  the  body- 
is  S  42°  52'  E,  or  137°.     The  londtude,  X^,  is  found  to  be  78°  39'.8. 

The  assumed  position,  then,  from  which  to  plot  the  line  is: 

L,  29°  00'  N 
K  78°  39 '.8  W 

The  altitiide  difference  is  24.6  miles  toward  the  body  bearing  137°,  and  the  line  of 
position  is  at  right  angles  to  the  bearing. 

Example  2. — See  page  196  (Form  2).  Entering  Table  VI  from  above  with  a  = 
9°  30',  take  out  ^'  =  12°  49';  also  the  corresponding  t^,  b,  and  a.  L^  is  taken  as 
35°  00';  then  C=La-6  =  22°  00'.  Now  with  a  =  9°  30'  and  C  =  22°  00',  take  out 
7i',  Z',  and  ^.  By  the  precepts,  M  =  a-/3  =  20°  00'.  Ad  =  d-d' = -2Q'A.  From 
Table  VII,  cos  M  is  0'.94;  and  hence  AcZxcos  M  =  A?i  =  26.4x0.94  =  24'. 8. 

In  this  example,  since  M  is  less  than  90°,  Ah  is  minus  like  Ad.  Applying  Ah  to  h' 
gives  Ac  =  65°  43'. 2;  and  the  altitude  difference  is  28'. 4  toward  the  body  bearing  S 
24°  04'  W,  or  204°.     The  X^  is  found  to  be  65°  22'.6  W. 

The  assumed  position,  then,  from  which  to  plot  the  line  is: 

L,  35°  00'  N 
\j,  65°  22'.6  W 

The  altitude  difference  is  28.4  miles  toward  the  body  bearing  204°  and  the  line  of 
position  is  at  right  angles  to  the  bearing. 

Example  S. — See  page  197  (Form  2).  Entering  the  tables  from  above  with  a  = 
8°  30',  take  out  d'  =  19°  46',  also  the  corresponding  tj,,  h,  and  a.  Take  L^  =  42°  00', 
and  combining  it  with  h,  gives  C  =  22°  00'.  Now  enter  with  a  =  8°  30'  and  C  =  22°  00' 
and  take  out /i',Z',  and  (8.  By  the  precept,  M  =  a- /3  =  16°.l.  Ad  =  26.7.  FromTable 
VII  cos  M  is  0.96;  and  hence  Ad  X  cos  M  =  AA  =  26.7  X  0.96  =  25'. 7.  Since  M  is  less 
than  90°,  Ah  is  plus  like  Ad.  Applying  Ah  to  h'  gives  i^c  =  66°  54'. 7,  and  the  altitude 
difference  is  26.0  toward  the  body  bearing  S  21°  45'  E,  or  158°.  The  X^  is  found  to  be 
32°11'W. 

The  assumed  position,  then,  from  which  to  plot  the  line  is: 

L^  42°  00'  N 
Xa32°  11' W 

The  altitude  difference  is  26.0  miles  toward  the  body  bearing  158°,  and  the  line  of 
position  runs  at  right  angles  to  the  bearing. 

Third  method. — Usmg  the  D.  R.  position.  This  method  is  the  least  desirable  for 
the  practical  navigator  in  that  it  involves  interpolating  and  also  the  correcting  of  the 
h  and  Z  obtained.  It  is  given  here  because  the  line  is  plotted  from  the  D.  R.  position, 
and  its  use  may  be  desirable  when  tD,^,—t  is  large,  when  the  altitude  difference  is 
large,  or  when  two  or  more  lines  of  position  are  to  be  plotted  simultaneously. 

The  values  of  a  and  b  are  obtained  by  using  tj^  instead  of  to.  r.  as  in  the  first 
method.  Then  b  is  combined  with  Ld.  r.  to  get  C.  C  will  seldom  come  out  in  whole 
degrees,  so  entering  the  tables  with  a  and  C  it  will  be  necessary  to  interpolate  for  A,' 
and  Z'.  Since  the  h'  and  Z'  obtained  are  for  L^.  r.  and  tj,,  they  must  now  be  corrected 
for  the  effect  of  ^d.  r.  — ^a?  or  ^^• 

The  formulas  are : 

.  .         ^h     .  ,    .    .      Ah  T         •       rw, 

Ah  =  At  X-^,  111  which  -TT=  ±  cos  L  sm  Z  . 
AjZ  =  At  X -Vt,  in  which  -^  =  —  sin  L. 

A,Z  =  AhX^,  in  which  ^=  -tan  h'  cot  Z'. 

AZ  =  AiZ  +  A2Z. 

In  Tables  \1I  and  VIII  are  given  the  values  of  the  coefficients  -^»  -vr»  and  -^t 
the  arguments  being  the  elements  shown  in  the  above  formulas.    Above  the  tables  are 


Page  196] 


ALTITUDE  AND  AZIMUTH  TABLES. 


2'C  bio 
S  ^  1=1 


4^ 


1 

i 

J3 

^ 

^ 

-" 

*- 

cr 

cr 

W 

Pc^ 

' — 

H  <J 

<! 

o 

tf 

P5 

OS'-' 

.   :       •        Q        a.) 

tfl  o     o     -S 


p=' 

ps 

CD 

o 

O 

KO 

•<1' 

o 

Hi 

a> 

o 


ss 


S 


00 

00 

o 

t-- 

t^ 

o 

;o 

o 

1 

^ 

1 
ISJ 

o 

<  ^ 


< 

^ 


8    ill     S 


o   o 
ob   iM 


S 

lO     00 


«o 

Tt< 

lO 

IM 

00 

§ 

00 

CO 

CO 

o 
eo 

§ 

r-t 

O 

eo 

o 

8 

■<r 

iC 

o 

1— 1 

iC 

^ 

^ 

CO 

o 

^  • 

1^ 

<M 

o 

(-H 

o 

l.o 

lO 

t^ 

CO 

O    CO 

o   CO 


CO     CJ 
CO    oo 


a* 


+ 


Eh 


I     I 


w 

d 


<  /< 


M  o    o  rfs    -«    ;«  <i 


53    OJ    .. 

S  si  a 
HPQh:i 


)  Ho 


S^ 


ea     Tfi  r-» 


4- 


+    I 


00 

00 

+ 

00  o 

OQ 


W  d 


O    eo 


eo   ^ 


o 

o 

eo 

o 

eo 

+ 

< 

_j) 

ts: 

P= 

00 

o 

1 

05 

o 

CO 

eo 

00 

•J  o      Q 


3    «!.     S 


H 


+  +      + 


eo 


1^' 


6h  O 
d  d 
eo   -^ 


d 

tA      CO    O.    00 


.  <; 


d 

o 


pi 


d  fc 


w 


C>3 


<1  ^ 


OS 
00   ai 


O 


rf!  <J     -5r 


ALTITUDE  AND  AZIMUTH  TABLES. 


(Pageld? 


1 

- 

i                  "2 

1 

1          1 

1 

V 

■ 

o 

V 

I 

Ph 

' 

!    ! 

o 

K 

B 

xs   1 

i 

1 

;     i 

i 
1 

! 

0 

! 

1 

1 

o 

V 

^        1 

1           1 

!        1 

* 

"" 

c 

' 

1 

1 

bo' 

1 

1 

1 

S3 

a 

o 

«< 

^ 

1 

J2 

p 

1 

>. 

05 

H 

1 

■a 
o 

Time: 
Bearii 

Long. 

w  d    6  rt    P5 

^ 

<1 

o 

J 

-5         O 

e 

<5a 

s 

■73 

1 

• 

1            ' 

!  j 

V 

! 

e 

o 

V 

J3 

o 

1    I  ; 

1 

..id 

^^     Hd     S 

^  Q     d  d     d 

CO 

H        _     ^ 

i 

^           * 
Q 

Date 
Obs. 
Lat. 

o    o    pi    6         -<  ^    -^    \  al    \   »^  6 

1    - 

^  i.   < 

^      1 

ec   o 

t^ 

r-t         CO 

1  r^       O 

t^ 

■< 

■   1 

(M    o 

I— 1 

"^ 

1—1 

1 

CO 
(M 

1 

Ph 

a 

o 

00 

o 

§ 

g 

O          05 

^ 

W      ^         ^ 

o 

I-H 

A 

+        +    ■                          ■    + 

^ 

CO     ]    i-f 

O    O    1  o 

CQ 

^ 

'^ 

00 

1 

00 

C 

^ 

o 

o 

F-H 

o  o 

o 

i-t   © 

I-H 

OJ 

d" 

c 

CO     05 

CO 

CO    © 

CO 

t-^ 

i-H 

«d 

w                     E 

a 

(M 

oo 

Tfl      CO 

CO 

00 

t^ 

rH 

"^                 ^ 

.£ 

o 

00 

a.  m 
and 
.:  32 

-=5                            O 

8 

Ki  "3 

P5                         ^     O 

Q 

50 

OoQp^ 

6*     & 

m 

CO 

PL| 

Time:  6. 
Bearing: 
Long.  D. 

H.  D. 
G.  M.  T. 

Corr. 
R.  A.  (E 

R.  A.  (E 

W  d 

IH 
O 

<3 

< 

^^  ^    ^ 

1 

a 

oa 

S 

'■J 

g 

X 

^ 

^      W 

O 

w 

lO    o 

lO 

o    o 

<o 

I— 1 

r^ 

t^ 

o 

iO    00 

|C0 

© 

t--. 

© 

t>. 

t-     © 

W   o 

lO 

00    00 

t- 

00 

CO 

1^ 

«o             oi  o 

r-l               O                   rH     CO 

00 

Oi 

© 

05 

Ifi 

"^l      CO 

(M    rt 

i-H 

-^          Tf 

TjH 

r-H 

lO 

I-H 

CO                        O     i-H 

O              CO 

CO 

CO 

CO 

CO 

lO     C^ 

B 

o 

O    "3 

1— t 

«o    «o 

o 

ec 

o 

00 

C^                    CO     <M 

a>         00 

t>. 

t^ 

CO 

CO 

lO    f-l 

o    o 

cc 

Tt<             O 

CO                   (M 

CO 

CD 

CO 

CO 

CO 

eC3 

ft)    (M 

00    o 

CO 

05         00 

1-H 

05         t^ 

+ 

(N 

I-H 

+  ' 

1 

1    1 

1 

+ 

..die 

i 

, 

'-'Bo 

^ 

1 

is   c3  •-' 

-^ 

OJ 

^ 

j 

Sra-* 

r-l 

JO' 

O  o    • 

1 

H 

d' 

< 

w 

^ 

K         » 

rS 

3 

%4 

s 

^ci 

d  d 

6 

^  i 
w  rt 

6    6    ei 

d 

■<    ,<       ^          ee 

1— i 

o 
O 

o 

O       V 

< 

o 

«« 

^ 

N 

eo 

■* 

"3 

» 

t>i  00 

oi 

d 

1— i 
I-H 

I-H 

CO 
I-H 

I-H 

I-H 

I-H 

I-H 

00 

I-H 

d 

C^J 

1—1 

CO 

CO 
CO 

CO 
CO 

CO 

CO 

^ 

CO 

00 

Page  198] 


ALTITUDE  AND  AZIMUTH  TABLES. 


also  given  the  precepts  for  determining  their  signs.  The  correction  AZ  is  generally 
negligible,  unless  A<  is  large.  The  same  examples  which  were  solved  by  the  first  and 
second  methods  will  now  be  worked  out  to  illustrate  the  third  method. 

Example  1 . — See  page  200  (Form  3) .    The  value  of  a  is  determined  as  before,  and  is 


79*  so*  40'  30"  zo'  10*  78* 


38°  30'.  Now  entering  the  tables  with  thisa  Sindd  =  23°  10'.3,  take  out6  =  30°  ll'.3and 
<^  =  42°37'.4.  6  is  combined  with  Ld  R  and  gives  C  =  59°  22'. 3.  Enter  with  a  and  C 
and  by  interpolating  take  out  h'  =  23°  29'.6  and  Z'  42°  45'.    Now  A<  =  ^.e.  -  <a  =  -  14.2. 

Turn  to  Tables  VII  and  VIII  and  take  out  -^ » -^»  and  -A- » and  enter  them  with  their 

proper  signs  in  lines  19,  24,  and  26,  respectively. 

Ah 


A/i  =  A<X^— -14'.2X-.59=+8'.4     A^Z^A^X^: 


-14'.2X+.49=-7' 


A2Z  =  A?iX^=+8'.4X-.48=-4'. 

Applyuig  Ah  to  h'  gives  Ac  =  23°  38'. 0,  and  applying  A^Z  and  AjZ  to  Z'  gives 
Z  =  42*'  34' 

The  altitude  difference  is  26.3  miles  toward  the  body  bearing  S  42°  34'  E,  or 
137^°,  and  the  line  is  plotted  from  the  D.  R.  position. 

Example  2. — See  page  200  (Form  3). — Entering  the  tables  with  a  =  9°  30'  and 


66* 

I'  1 1  r  1 


»)'  «f  30'  2tf  10'  6! 

^{■■..|..>.j....|.l.i.|....|,,..|...,|,.,.[..M|..,,. 


65* 


JEraxniile- 2 


??z 


-•35* 


-SOf 


-•40' 


-•30' 


d=l2°  22'.6,  takeout&=12°33'.3  and<^  =  9°  44'.     C  =  Li,  «  -&  =  22°  04'.7.     Enter 
with  a  and  C  and  by  interpolation  find  h'  =  66°  03'.7  and  Z'  =  23°  59'.    A<  =  +  11'.6. 


ALTITUDE  AND  AZIMUTH  TABLES. 


Page  199] 


From  Tables  VII  and  VIII  take  out 


a7 '  aT'  ^       Ah  "^^*"  their  proper  signs. 


The 


corrections  A^,  AjZ,  and  AjZ  are  obtained  as  explained  in  example  1 ;  applying  them 
to  Ji'  and  Z'  we  find  hc  =  e>5°  59'.9  and  Z  =  24°  25'. 

The  altitude  difference  is  11'.7  toward  the  body  bearing  S  24°  25'  W,  or  20^°, 
and  the  line  is  plotted  from  the  D.  R.  position. 

Example  5.— See  page  201  (Form  3).     Entering  Table  VI  with  a  =  8°  30'  and 


^  =  20°12'.7,takeout6  =  20°26'.7and^A  =  9°03'.9.  C  =  Li,  ^  -&  =  21°  18'.3.  Enter 
with  a  and  C  and  by  interpolating  take  out  ^'=67°  07'.9  and  Z'  =22°  22'.     A^  = 

—  2'. 9.    From  Tables  VII  and  VIII  take  out  ~^.  >  -~r,  and  -^  with  their  proper  signs. 

The  corrections  A^,  AjZ,  and  AjZ  are  obtained  as  before.  Applying  them  to  h'  and 
Z'  gives  ^c  =  67°  08'.7  and  Z  =  22°  15'. 

The  altitude  difference  is  12.0  miles  toward  the  body  bearing  S  22°  15'  E,  or 
157f  °,  and  the  line  is  plotted  from  the  D.  R.  position. 

The  three  lines  of  position,  determined  by  the  solutions  of  the  three  foregoing 
examples,  are  charted  in  the  accompanying  diagrams.  The  line  of  position  from 
each  example  falls  in  the  same  place — as  of  course  it  should — whether  laid  down  from 
Pi,  P2,  or  p^,  the  respective  points  indicating  the  geographical  positions  from  which 
the  altitude  differences  are  to  be  reckoned  in  the  three  solutions  of  each  example  by 
the  three  different  methods. 


Page  200] 


ALTITUDE  AND  AZIMUTH  TABLES. 


CO   bcQ 

..  C     . 

a  e3  a 
•  "•Do 


3^ 

CD   ?v 

®  _•    • 

*J    CO  .tj> 

QOh-^ 


O  P5    tf 


c^     o   CO 


W  d    6   "c    •« 


to   tn 


+     I 


!     1 

1 

^^  ! 

o»     t^ 

Ob 

_  i    1 

«c 

rH 

<N 

CO 

1 

M 

+ 

+ 

+ 


H. 


S3  "^ 


<1   <]I<1 


<5  I  < 


tS3 


o 

o 

o 

LO 

LO 

00 

1—1 

O 

o 

lO 

CO 

a 

lO 

-*< 

00 

I— 1 

o 

M 

CO 

■<»< 

o 
1—1 

+ 


CO 

•^ 

lO 

(N 

eo 

CO 

o 

oo 

CO 

CO 
i-O 

o 

CO 

o 

T— 1 

o 

CO 

o 

o 

o 

•^ 

lO 

o 

lO 

^  ^  ^ 


O     r-l 

O 

lO    IC 


o 
o        o 


H  o 


^-    00     05   r- 


-<  ^    -5 


d    t:    fc: 

o      o     ^ 


:e  <] 


\a 

1 

lO 

»\   "^ 

LO      «*<     ] 

o 

CO    -^ 

I-H 

Tt< 

CO 

W 

« ' 

• 

V  ' 

Oi 

^ 

I— 1 

C5     1 

CI 
CO 

o 

I-H 

o 

I-H 

O     CO 

CO 

ri     -* 

CM     LO 

■* 

lO 

•^ 

t* 

'T 

CO 

a 

o 

^     I-H 

CM 

CO 

l^ 

■^ 

oo 

o 

!M    1 

CM 

CO 

CO 

I-H     I-H 

CM 

CM 

CO 

I-H 

CM 

CM    , 

1 

CM 

CM 

T»< 

•* 

^ 

2 

^     1 

1 

p 

+ 

+ 

m 

O 

<3i    O 
CM     CO 

cs 

CM 

CM 

1 

1 

•Xl 

^ 

d* 

E 

o 

i          1 

4 

: 

• 

• 

II    o 

r-JC^ 

H 

;~i 

rt 

K 

' 

* 

"     -r« 

.f^o 

'~' 

M 

5 

1 

bq 

6Q 

sa 

N   ?; 

JN 

1 

i 

i 

< 

2 

so 

C»3 

I-H 

OoJpH 

«i 

■* 

"S* 

•g 

CO 

^ 

H 

+ 

l" 

•1 

I^ 

w 

s 

Time: 
Bearlr 
Long. 

K  d 

-< 

« 

d 

o 

CO 

6 

■^ 

hO 

o 

^" 
1 

^ 

< 

i 

^i 

3 

^ 

" 

CS3 

<J 

< 

< 

O 

-2 

s 

1 

t 

o 

<5 

o  o 

O 

o 

C5 

I-H 

^ 

^    W 

M 

■ 

• 

C^* 

» 

00 

1— 1 

8 

CO 

o 

C^ 
CO 

c^< 

00 

O    1   CM 

o 

c 

CO 

o 

eo 

CO 

•^ 

o 

CO 

a 

"^ 

lb 

Oi 

CO 

^ 

M 

oc 

o    -^ 

-^ 

05 

00 

00 

CD 

lO 

00 

CO 

t^ 

94 

Ol 

o 

CM 

CM 

CO 

1    I-H     U3 

o 

CM 

CO 

<N 

(N 

kO 

(M 

j= 

CI 

QO 

00 

M 

00 

CO 

■f 

CO 

CO 

CD 

i-H 

O 

-fl^ 

C<l 

CO 

r- 

■<r 

CO 

CM 

CM 

CM 

CM 

+ 

1 

4- 

4 

-      +, 

+ 

O       V 

CO       rH 

fec^'^ 

^ 

a>  Co 

eo 

OQ 

a 

1 

Decern 
ody:  S 
'.  R.:  2 

H 

^ 

H 

d 

;-) 

< 

< 

o 

M 

K 

1 

i:^ 

1 

1- 

i 
i 

^6 

d 

d 

d 

O 

d 

C5 

d 

<1 

(S 

-h" 

c 

>   1    O     rC 

O 
i-e 

:« 

< 

-g 

*S    CO  ^J 

1 

r-l 

c<i 

CO 

■^ 

LO 

CO 

t^ 

oo" 

C5 

d 

I-H 

rH 
I-H 

cm" 

r-H 

CO 
I-H 

-*< 

I-H 

I-H 

CO 

I-H 

i-H 

« 

3  C 

4  r 

35 

-H 

s 

Cs 

1  '^> 

eo 

CM 

CM 

id 

CM 

CO 
CM 

CM 

S 

ALTITUDE  AND  AZIMUTH  TABLES. 


[Page  201 


m 

V 

a 

i 

o 

J3 

1 

i 

^ 

^ 

0 

W 
< 

43 

1 

-^       -^ 

tf 

&    o* 

tcQ 

Eh 

w   w 

Eh 

j:3 

a  03  a 

Q  S 

^  -jj   <i 

o  § 

t:     y     , 

•3  <x>  o 

W  d 

6  rt  rt 

W  d 

o      a> 
O    T3     •« 

«■    CS3 


tJ   -o     Q 


to 

OJ 

S3 

.9 

<i 

ei 

0) 

< 

■ 

a 

- 

J3 

o 

1 

^^ 

:    1 

1     . 

Date: 
Obs.  bo 
Lat.  D. 

1 

C.  T. 

c.  c. 

G.  M.  T 

02 

S 

H           -^' 

<1 

b    CO    <!    W 

W  P5    O    O    P3    O 


1     f  i2 

I  13 

d    H    fc 

o     o 

t-i     O     O 


»«    r<s  <a 


03  ^  •: 

o 

.  ■  a 
S'lU  fcx) 

9  s?  "=1 


*J    to  .tJ 


CO    O 
C^    o 


Eh 
W  d 


rH        V 

t— 1 

o 

+  + 

W  d 


o 

O        O) 

O     tS     ts 


o  o 

Ci    05 


+ 


Hi    .«      Q 


S.1     ,JS     *i 

■^    <  <  < 


^ 


+ 


t!3 

o 


<    < 


tS3    o 


^  ^     W 


kC    o 

U5 

o 

o 

CD 

r-i 

t^ 

t» 

o 

(N    o 

<M     r-l 

IC 

CO 

00 

00 

t— t 

CO 

CO 

a 

O      LO 
lO     r-H 

:— ( 

CO 

o 

CO 

o 

^ 

cc 

o 

00 

o 

CO 

Ss  c^ 

00 

§ 

I— 1 

Oi 

00 

r-t 

i+, 


+ 


05 

O 

i—i 

o 

f-l 

o 

o 

CO 

(N 

OS 

(N 

CO 

I   I 


CO  o 

00     05 


■'1' 

OJ 

r-H 

H 

S 

Eh 

<1 

E-i 

d 

S 

4» 

-< 

OJ 

<1 

W 

H 

Q 

o 

o 

H 

tf 

o 

O 

«' 

o 

-<! 

60 

ca 
•c 

03 


O 

42 


+ 


t-    O 
00     <>» 


O 


>-iw     eo'"*'     iccot^oo     o> 


c^ieo     -^ici     <Djt-.     00050 


o 

O 

:« 

< 

CO 

CO 

t^     00 

Page  202] 


1 14.0 


57^ 


\ 

a  =  0"  0' 

a  =  0°30' 

a  =  l**0' 

L\ 

\  a 

\ 

d 

60' 

\  t 

\ 

d    60'  1 

\  i 

A 

\ 

d 

60' 

\   t 

A 

A 

A 

A^ 

\ 

A 

z\ 

A^ 

^ 

A 

Z\ 

6<y 

A^ 

\ 

A 

z\ 

65> 

c\ 

0 

0 

/ 

0       / 

0 

/ 

0    / 

0 

/ 

0       / 

0 

0 

0 

0 

0 

- 

0    0 

0 

0 

0  30 

0.00 

0 

0 

I     0 

0.00 

90 

90.0 

I 

I 

0 

0 

I 

0 

30 

.00 

I 

0 

0 

.00 

89 

90.0 

2 

2 

0 

0 

2 

0 

30 

.00 

2 

0 

0 

.00 

88 

90.0 

3 

3 

0 

0 

3 

0 

30 

.00 

3 

0 

0 

.00 

^7 

90.0 

4 

4 

0 

0 

4 

0 

30 

.00 

4 

0 

0 

.00 

86 

90.0 

5 

5 

0 

0 

5 

0 

30 

0.00 

5 

0 

0 

0.CX3 

?5 

90.0 

6 

6 

0 

0 

6 

0 

30 

.00 

6 

0 

0 

.00 

^ 

89.9 

7 

7 

0 

0 

7 

0 

30 

.00 

7 

0 

0 

.02 

P 

89.9 

8 

8 

0 

0 

8 

0 

30 

.00 

8 

0 

.00 

82 

89.9 

9 

9 

0 

0 

9 

0 

30 

.02 

9 

0 

.00 

81 

89.9 

10 

10 

0 

0 

10 

0 

31 

0.00 

10 

0 

0.00 

80 

89.9 

1 1 

II 

0 

0 

II 

0 

31 

.00 

II 

0 

.00 

7§ 

89.9 

12 

12 

0 

0 

12 

0 

31 

.00 

12 

0 

.02 

78 

89.9 

13 

13 

0 

0 

13 

0 

31 

.00 

13 

0 

2 

.00 

7? 

89.9 

14 

14 

0 

0 

14 

0 

31 

.00 

14 

0 

2 

.CX5 

76 

89.9 

IS 

15 

0 

0 

IS 

0 

31 

0.00 

15 

0 

2 

0.00 

75 

89.9 

16 

16 

0 

0 

16 

0 

31 

.00 

16 

0 

2 

.02 

74 

89.9 

17 

17 

0 

0 

17 

0 

31 

.02 

^7 

0 

t 

3 

.00 

73 

89.8 

18 

18 

0 

0 

18 

0 

32 

.00 

18 

0 

I 

3 

.00 

72 

89.8 

19 

19 

0 

0 

19 

0 

32 

.00 

19 

0 

3 

.02 

71 

89.8 

20 

20 

0 

0 

20 

0 

32 

0.00 

20 

0 

4 

0.00 

70 

89.8 

21 

21 

0 

0 

21 

0 

32 

.00 

21 

0 

J 

4 

.02 

69 

89.8 

22 

22 

0 

0 

22 

0 

32 

.02 

22 

0 

I 

5 

.00 

68 

89.3 

23 

23 

0 

0 

23 

0 

33 

.00 

23 

0 

5 

.02 

P. 

89.8 

24 

24 

0 

0 

24 

0 

33 

.00 

24 

0 

6 

.00 

66 

89.8 

25 

25 

0 

0 

25 

0 

33 

0.00 

25 

0 

I 

6 

0.02 

^5 

89.8 

26 

26 

0 

0 

26 

0 

33 

.02 

26 

0 

7 

.00 

64 

89.8 

27 

27 

0 

0 

27 

0 

34 

.00 

27 

0 

7 

.02 

P 

89.7 

28 

28 

0 

0 

28 

0 

34 

.00 

28 

0 

8 

.02 

62 

89.7 

29 

29 

0 

0 

29 

0 

34 

.02 

29 

0 

9 

.00 

61 

89.7 

30 

30 

0 

0 

30 

0 

35 

0.00 

30 

0 

9 

0.02 

60 

89.7 

31 

31 

0 

0 

31 

0 

35 

.CX3 

31 

0 

10 

.02 

5S 

89.7 

32 

32 

0 

0 

32 

0 

35 

.02 

32 

0 

II 

.02 

58 

89.7 

33 

33 

0 

0 

33 

0 

36 

.00 

33 

0 

12 

.00 

^l 

89.7 

34 

34 

0 

0 

34 

0 

36 

.02 

34 

0 

12 

.02 

56 

89.7 

35 

35 

0 

0 

35 

0 

37 

0.00 

35 

0 

13 

0.02 

55 

IH 

36 

Z^ 

0 

0 

36 

0 

37 

.02 

36 

0 

^ 

14 

.02 

54 

89.6 

17 

37 

0 

0 

17 

0 

38 

.00 

37 

0 

15 

.02 

53 

89.6 

38 

38 

0 

0 

38 

0 

38 

.02 

38 

0 

16 

.02 

52 

89.6 

39 

39 

0 

0 

39 

0 

39 

.00 

39 

0 

17 

.02 

51 

89.6 

40 

40 

0 

0 

40 

0 

39 

0.02 

40 

0 

18 

0.02 

50 

89.6 

41 

41 

0 

0 

41 

0 

40 

.00 

41 

0 

19 

•03 

49 

89.6 

42 

42 

0 

0 

42 

0 

40 

.02 

42 

0 

21 

.02 

48 

89.6 

43 

43 

0 

0 

43 

0 

41 

.02 

43 

.  0 

1.02 

22 

.02 

^Z 

89.5 

44 

44 

0 

0 

44 

0 

42 

.00 

59 

I 

23 

•03 

46 

89.5 

45 

45 

0 

0 

45 

0 

42 

44 

59 

25 

45 

89.5 

a 

6& 

6 

a 

60^ 

b 

A 

a 

^[       b 

_A_ 

a 

t 

A 

A 

60' 

A 

60' 

d  =  0°0' 

d  =  0°30' 

d  =  i°0' 

00 

114.6 

57.29 

[Page  203 

\ 

0  =  0^0' 

a  =  0<*30' 

a  =  rO' 

I 

\- 

\ 

f/    60' 

\  t 

\  d 

60' 

\    ' 

A 

\  d    6cy 

\  < 

A 

A 

A 

A^ 

\     A 

Z\ 

A  \ 

A 

2\ 

60' 

^  \     A 

Z\ 

6c/ 

'^\ 

A 

o 

0 

J 

0     / 

0      / 

0      / 

0       / 

0    / 

0 

0 

45 

45 

0 

0    0 

45     0 

0  42 

0.02 

44  59 

I  25 

0.02 

45 

89.5 

46 

46 

0 

0 

46     0 

43 

.02 

45   59 

26 

•03 

44 

895 

47 

47 

0 

0 

47     0 

44 

.02 

46  59 

28 

•03 

43 

895 

48 

48 

0 

0 

48     0 

45 

.02 

47   59 

30 

.02 

42 

89.4 

49 

49 

0 

0 

49     0 

46 

.02 

48  59 

31 

.03 

41 

89.4 

50 

50 

0 

0 

■;o    0 

47 

0.02 

49  59 

zz 

0.03 

40 

89.4 

51 

51 

0 

0 

51     0 

48 

.02 

50  59 

35 

.03 

39 

89.4 

52 

52 

0 

0 

52    0 

49 

.02 

51   59 

17 

.05 

38 

89.4 

53 

53 

0 

0 

53     0 

50 

.02 

52  59 

40 

.03 

37 

89-3 

54 

54 

0 

0 

54     0 

51 

.02 

53  59 

42 

.05 

36 

89-3 

55 

55 

0 

0 

55     0 

52 

0.03 

54  59 

45 

0.03 

35 

893 

56 

56 

0 

0 

56    0 

54 

.02 

55  59 

47 

.05 

34 

893 

57 

57 

0 

0 

57     0 

55 

•03 

56  59 

50 

.05 

33 

89.2 

58 

58 

0 

0 

58     0 

57 

.02 

57  59 

5J 

•05 

32 

89.2 

59 

59 

0 

0 

59    0 

58 

•03 

58  59 

56 

.07 

31 

89.2 

60 

60 

0 

0 

60    0 

I     0 

0.03 

59  59 

2     0 

0.07 

30 

89.1 

61 

61 

0 

0 

61     0 

2 

•03 

60  59 

4 

.07 

29 

89.1 

62 

62 

0 

0 

62     0 

4 

•03 

61   59 

8 

.07 

28 

89.1 

63 

63 

0 

0 

63     0 

6 

.03 

62  59 

12 

.08 

27 

89.0 

64 

64 

0 

0 

64     0 

8 

.05 

^Z  59 

17 

.08 

26 

89.0 

65 

6=; 

0 

0 

65     0 

II 

0.05 

64  59 

22 

0.08 

25 

88.9 

60 

66 

0 

0 

66     0 

14 

.05 

65  59 

27 

.10 

24 

88.9 

67 

f7 

0 

0 

67     0 

17 

.05 

66  59 

11 

.12 

23 

88.8 

68 

68 

0 

0 

68     0 

20 

.07 

67  59 

40 

.12 

22 

88.8 

69 

69 

0 

0 

69     0 

24 

.07 

68  59 

47 

•'3 

21 

88.7 

70 

70 

0 

0 

70     0 

28 

0.07 

69  59 

1.02 

55 

0.15 

20 

88.6 

71 

71 

0 

0 

71     0 

32 

.08 

70  58 

3     4 

•17 

19 

88.5 

72 

72 

0 

0 

72     0 

37 

.10 

71   58 

M 

.18 

18 

88.5 

73 

73 

0 

0 

73     0 

43 

.10 

72  58 

25 

.20 

17 

88.4 

74 

74 

0 

0 

74     0 

49 

.12 

71   58 

17 

•23 

16 

88.3 

75 

75 

0 

0 

75     0 

1.02 

56 

0.13 

74  58 

51 

0.28 

15 

88.1 

76 

76 

0 

0 

59 

2     4 

•'5 

75   58 

4     8 

■30 

14 

88.0 

77 

77 

0 

0 

76  59 

13 

.18 

7^  58 

26 

•37 

13 

87.8 

78 

78 

0 

0 

77  59 

24 

.22 

77  58 

1.02 

48 

•43 

12 

87.6 

79 

79 

0 

0 

78  59 

17 

7^  57 

5  14 

II 

87.4 

80 

80 

0 

0 

79  59 

53 

79  57 

.  44 

10 

87.2 

81 

81 

0 

0 

80  59 

3  12 

80  57 

1.02 

6  22 

g 

86.8 

82 

82 

0 

0 

81    59 

35 

81    56 

7     9 

8 

86.4 

^^ 

83 

0 

0 

82  59 

4     6 

82  56 

1.02 

8     9 

7 

85^9 

84 

84 

0 

0 

83  59 

46 

83  55 

1.02 

9  29 

6 

85.3 

85 

85 

0 

0 

84  59 

1.02 

5  43 

84  54 

1.02 

1 1   20 

5 

843 

86 

86 

0 

0 

85   58 

I 

7     8 

85   53 

1.05 

14     3 

4 

C2.9 

87 

87 

0 

0 

86  58 

1.03 

9  28 

86  50 

1.07 

18  27 

3 

80.S 

88 

88 

0 

0 

87  56 

1.05 

14     2 

87  46 

1.22 

26  34 

2 

76.0 

89 

89 

0 

0 

88  53 

1.62 

26  34 

88  35 

2.40 

45     0 

I 

634 

90 

90 

0 

0 

89  30 

QO      0 

89     0 

90     0 

0 

0.0 

a 

60' 

h 

a 

^'         h 

_A^ 

a 

^'|i     6 

A 

a 

t 

A 

A 

60' 

A    r                  6c/ 

^  =  0°  0' 

rf  =  0°30' 

fZ  =  l°0' 

Page  204] 

38.19 

26 

.64 

32.90 

\ 

a  =  r30' 

0=2"  (r 

a  =  2°  30' 

t\' 

\' 

\  d 

60' 

X   i 

A 

\  d 

60' 

X  i 

_A 

V    rf    60' 

\  * 

A 

A 

A 

h\ 

A 

Z\ 

60' 

h\ 

A 

z\ 

6(/ 

ft    N^   ^ 

Z\ 

ex/ 

^\ 

"X 

o 

0     / 

0     / 

0       / 

0   / 

0     / 

0    / 

Q 

0 

O 

0    0 

I  30 

0.00 

0    0 

2  0 

0.00 

0    0 

2  30 

0.00 

^° 

90.0 

I 

I     0 

30 

.00 

I     0 

0 

.00 

I    0 

30 

.00 

89 

90.0 

2 

2    0 

30 

.00 

2      0 

0 

.00 

2    0 

30 

.00 

88 

89.9 

3 

3     0 

30 

.00 

3     0 

0 

.00 

3     0 

30 

.00 

l^ 

89.9 

4 

4     0 

30 

.00 

4     0 

0 

.00 

4     0 

30 

.02 

86 

89.9 

5 

5     0 

30 

0.00 

5     0 

0 

0.02 

5     0 

31 

0.00 

85 

89.8 

6 

6     0 

30 

.02 

6     0 

I 

.00 

6     0 

31 

.00 

84 

89.8 

7 

7     0 

31 

.00 

7     0 

I 

.00 

7     0 

31 

.00 

83 

89.8 

8 

8     0 

31 

.00 

8     0 

I 

.00 

8     0 

1.02 

31 

.02 

82 

89.7 

9 

9     0 

31 

,CX3 

9     0 

I 

.02 

59 

32 

.00 

81 

89.7 

10 

10     0 

31 

0.02 

10     0 

2 

0.00 

9  59 

32 

0.02 

80 

89.6 

1 1 

II     0 

32 

.00 

II     0 

2 

.02 

10  59 

33 

.00 

79 

89.6 

12 

12     0 

32 

.00 

12     0 

3 

.00 

II   59 

33 

.02 

78 

89.6 

13 

13     0 

32 

.02 

13     0 

1.02 

3 

.02 

12  59 

34 

.02 

77 

895 

14 

14     0 

33 

.00 

59 

4 

.00 

13  59 

35 

.00 

76 

89.5 

15 

IS     0 

3Z 

0.02 

14  59 

4 

0.02 

14  59 

35 

0.02 

75 

89.5 

i6 

16    0 

34 

.00 

15  59 

5 

.00 

15  59 

36 

.02 

74 

89.4 

17 

17     0 

34 

.02 

16  59 

5 

.02 

16  59 

37 

.02 

73 

89.4 

i8 

18     0 

35 

.00 

17  59 

6 

.02 

17  59 

38 

.02 

72 

89.4 

19 

19    0 

35 

.02 

18  59 

7 

.02 

18  59 

39 

.02 

71 

893 

20 

20    0 

3f 

0.00 

19  59 

8 

0.02 

19  59 

40 

0.02 

70 

893 

21 

21     0 

3^ 

.02 

20  59 

9 

.00 

20  59 

41 

.02 

69 

89.2 

22 

22     0 

1.02 

37 

.02 

21   59 

9 

.02 

21   59 

42 

.02 

68 

89.2 

23 

59 

38 

.02 

22  59 

10 

.02 

22  59 

43 

.02 

67 

89.2 

24 

23  59 

39 

.00 

23  59 

II 

.02 

23  59 

1.02 

44 

.02 

66 

89.1 

25 

24  59 

39 

0.02 

24  59 

12 

0.02 

24  58 

45 

0.03 

65 

89.  z 

26 

25  59 

40 

.02 

25  59 

13 

■03 

25  58 

47 

.02 

64 

89.0 

27 

26  59 

41 

.02 

26  59 

15 

.02 

26  58 

48 

•03 

63 

89.0 

28 

27  59 

42 

.02 

27  59 

16 

.02 

27  58 

50 

.02 

62 

88.9 

29 

28  59 

43 

.02 

28  59 

17 

•03 

28  58 

51 

.03 

61 

88.9 

30 

29  59 

44 

0.02 

29  59 

19 

0.02 

29  58 

53 

0.03 

60 

88.8 

31 

30  59 

45 

.02 

30  59 

20 

.02 

30  58 

55 

.03 

59 

88.8 

32 

31   59 

46 

.02 

31   59 

21 

•03 

31   58 

57 

.03 

58 

88.8 

33 

32  59 

47 

•03 

32  59 

23 

•03 

32  58 

59 

•03 

57 

88.7 

34 

ii  59 

49 

.02 

33  59 

25 

.02 

33  58 

3     I 

.03 

56 

88.7 

35 

34  59 

50 

0.02 

34  59 

1.02 

26 

0.03 

34  58 

3 

0.03 

55 

88.6 

36 

35  59 

51 

.03 

35  58 

28 

•03 

35  58 

5 

•05 

54 

^•5 

37 

36  59 

53 

.02 

36  58 

30 

.03 

36  58 

1.02 

8 

•03 

53 

88.5 

38 

37  59 

54 

•03 

37  58 

32 

-03 

37  57 

10 

•05 

52 

88.4 

39 

38  59 

56 

.02 

38  58 

34 

.05 

38  57 

13 

•05 

51 

88.4 

40 

39  59 

57 

0.03 

39  58 

37 

0.03 

39  57 

16 

0.05 

50 

88.3 

41 

40  59 

59 

.03 

40  58 

39 

•03 

40  57 

19 

.05 

49 

88.3 

42 

41   59 

2     I 

•03 

41    58 

41 

.05 

41   57 

22 

•05 

48 

88.2 

43 

42  59 

3 

•03 

42  58 

44 

•05 

42  57 

25 

•05 

47 

88.1 

44 

43  59 

5 

•03 

43  58 

47 

•05 

43  57 

28 

.07 

46 

88.1 

45 

44  59 

7 

44  58 

50 

44  57 

32 

45 

88.0 

a 

6c/ 

I 

^_ 

a       ^^ 

h 

A 

60' 
a      — 

h 

A 

a 

t 

A 

6(/ 

A 

60' 

A 

to' 

^  =  1°80' 

tZ  =  2°0' 

(?  =  2"'30' 

38.19 


28.64 


22.90 


[Page  205 


\b 

a  =  i°  30' 

a  =  2'^0' 

a  =  2°  30' 

\ 

\  * 

\rf 

60' |\  i 

A 

\i 

60' 

\«  ■^ 

X  d  60; 

X  f 

A 

\ 

b\ 

*  \ 

A       Z  \ 

6(/ 

A  \ 

A 

Z\  60' 

a\^   a 

z\ 

60' 

^\ 

p\ 

o 

0     / 

0      / 

0     / 

0      / 

0     / 

0   / 

0 

_o 

45 

44  59 

2       7 

0.03 

44  58 

2    50 

0.05 

44  57 

I 

3  32 

0.07 

45 

88.0 

46 

45   59 

9 

.05 

45   58 

53 

.05 

45  57 

1.02 

36 

.07 

44 

87.9 

47 

46  59 

12 

•03 

46  58 

56 

.05 

46  56 

I 

40 

.07 

43 

87.9 

48 

47   59 

14 

.05 

47   58 

59 

.07 

47  56 

I 

44 

.07 

42 

87.8 

49 

48  59 

17 

.05 

48  58 

3     3 

.07 

48  56 

I 

48 

.08 

41 

87.7 

50 

49  59 

20 

0.05 

49  58 

1.02 

7 

0.07 

49  56 

I 

53 

0.08 

40 

87.6 

51 

50  59 

1.02 

23 

.05 

50  57 

II 

.07 

50  56 

I 

58 

.08 

39 

87.5 

'{2 

51    58 

26 

•OS 

51    57 

15 

.07 

51  56 

I 

4   3 

.10 

38 

87.4 

53 

52  58 

29 

.07 

52   57 

19 

.08 

52  56 

I 

9 

.10 

37 

87.3 

54 

S3  58 

33 

.07 

53  57 

24 

.08 

53  56 

1.02 

15 

.10 

36 

87.2 

55 

54  58 

37 

0.07 

54  57 

29 

0.08 

54  55 

I 

21 

0.12 

35 

87.1 

56 

55  58 

41 

.07 

55  57 

34 

.10 

55  55 

I 

28 

.12 

34 

87.0 

57 

56  58 

45 

.08 

56  57 

40 

.10 

56  55 

I 

35 

•  13 

33 

86.9 

58 

57  58 

50 

.08 

57  57 

46 

.12 

57  55 

I 

43 

•  13 

32 

86.8 

59 

58  58 

55 

,08 

58  57 

1.02 

53 

.12 

58  55 

1.02 

51 

•15 

31 

86.7 

6o 

59  58 

3     0 

O.IO 

59  56 

4     0 

0.12 

59  54 

I 

5   0 

0.15 

30 

86.5 

6i 

60  58 

6 

.10 

60  56 

7 

•  13 

60  54 

I 

9 

•'7 

29 

86.4 

62 

61   58 

12 

.10 

61   56 

15 

•'S 

61    54 

I 

19 

.18 

28 

86.2 

63 

62  58 

18 

.12 

62  56 

24 

•15 

62  54 

1.02 

30 

.18 

27 

86.1 

64 

63  58 

1.02 

25 

•13 

63  56 

33 

•17 

63  53 

I 

41 

.22 

26 

85^9 

65 

64  57 

33 

0.13 

64  56 

1.02 

43 

0.18 

64  53 

I 

.  54 

0.23 

25 

85.7 

66 

65  57 

41 

•15 

65  55 

54 

.20 

65  53 

1.02 

6     8 

•2S 

24 

855 

67 

66  57 

50 

•17 

66  55 

5     6 

.22 

66  52 

I 

23 

•27 

23 

853 

68 

67  57 

4     0 

.18 

67  55 

19 

•2S 

67  52 

I 

39 

.30 

22 

85.1 

69 

68  57 

11 

.20 

68  55 

1.02 

34 

•27 

68  52 

1.02 

57 

•32 

21 

84.8 

70 

69  57 

23 

0.22 

69  54 

.  50 

0.28 

69  51 

I 

7  16 

0.37 

20 

84.5 

71 

70  57 

1.02 

36 

•25 

70  54 

6     7 

•33 

70  51 

1.02 

38 

.42 

19 

84.2 

72 

71   56 

51 

•27 

71   54 

1.02 

27 

•37 

71   50 

1. 02 

8     3 

•4S 

18 

839 

73 

72  56 

5     7 

•32 

72  53 

49 

.40 

72  49 

I 

30 

•SO 

17 

83.5 

74 

73  56 

26 

•35 

73  53 

1.02 

7   13 

•47 

73  49 

1.02 

9     0 

.58 

16 

83.1 

75 

74  56 

1.02 

.  ^7 

0.40 

74  52 

41 

o^S3 

74  48 

1.02 

35 

0.65 

IS 

82.6 

76 

75  55 

6  II 

•47 

75  52 

1.02 

8  13 

.62 

75  47 

1.02 

10  14 

•7S 

14 

82.0 

77 

76  55 

1.02 

39 

•S3 

76  51 

1.02 

50 

.70 

76  46 

1.02 

59 

.88 

13 

81.4 

78 

77  54 

7   II 

.63 

77  50 

1.02 

9  32 

•83 

77  45 

1.03 

II   52 

1.02 

12 

80.7 

79 

78  54 

1.02 

49 

78  49 

1.02 

10  22 

78  43 

1.02 

12  53 

1.23 

II 

79.8 

80 

79  53 

8  35 

79  48 

1.02 

II   22 

79  42 

1.03 

14     7 

10 

78.8 

81 

80  53 

1.02 

9  30 

80  47 

1.03 

12  35 

80  40 

1.05 

15  36 

9 

77.6 

82 

81    52 

1.02 

10  39 

81   45 

1.03 

14     5 

81   37 

i.os 

17  25 

8 

76.1 

83 

82  51 

1.03 

12     8 

82  43 

1.03 

15  59 

82  34 

1.07 

19  43 

7 

74.1 

84 

83  49 

1.03 

14     4 

83  41 

1.07 

18  28 

83  30 

1.09 

22  40 

6 

71.6 

85 

84  47 

1.05 

16  43 

84  37 

1.09 

21   50 

84  25 

I. IS 

26  37 

5 

68.3 

86 

85  44 

1.09 

20  35 

ll-  ^"^ 

1. 15 

26  36 

85   17 

1.22 

32     3 

4 

63s 

87 

86  39 

1. 18 

26  35 

86  24 

1.30 

33  43 

86     6 

1.43 

39  50 

3 

56.3 

88 

87  30 

'■43 

36  53 

87   10 

1.67 

45     I 

48 

2.00 

51   22 

2 

45^0 

89 

88   12 

3-33 

56  19 

46 

4.29 

63  27 

87  18 

5.00 

68  13 

I 

26.6 

90 

30 

90     0 

88     0 

90     0 

30 

90     0 

0 

0.0 

a       — 

6 

A 

a 

Cxy 

b 

A 

a 

6</ 

b 

A 

a 

f 

A 

6c/ 

A 

60' 

A 

(O' 

i  =  l°30' 

(1  =  2^  0' 

(^  =  2*30' 

Page  206] 

15 

.08 

16-35 

14.30 

\ 

a=3°0' 

a  =  3*' 30' 

0  =  4°  0' 

\ 

\  * 

\  d 

60' 

\  t 

A 

\  rf 

60' 

\  t 

A 

X    d   60' 

\  t       ^ 

\ 

A 

^     \ 

A 

z\ 

60' 

A\ 

A 

z\ 

6c/ 

h  \^     A 

Z  \  60' 

^\ 

P\ 

o 

0     / 

0      / 

0    / 

0       / 

0      / 

0          / 

0 

0 

0 

0    0 

3     0 

0.00 

0    0 

3  30 

0.00 

0     0 

4     0 

0.00 

90 

90.0 

I 

I    0 

0 

.00 

I    0 

30 

.00 

I      0 

0 

.00 

89 

89.9 

2 

2    0 

0 

.00 

2    0 

30 

.00 

2      0 

0 

.00 

88 

89.9 

3 

3     0 

0 

.00 

3     0 

30 

.02 

3     0 

1.02 

0 

.02 

87 

89.8 

4 

4     0 

0 

.02 

4     0 

1.02 

31 

.CX) 

59 

I 

.00 

86 

89.8 

5 

5     0 

I 

0.00 

59 

31 

0.00 

4  59 

I 

0.00 

85 

89.7 

6 

6     0 

1.02 

I 

.00 

5   59 

31 

.02 

5  59 

I 

.02 

§4 

M 

7 

59 

I 

.02 

6  59 

32 

.00 

6  59 

2 

.00 

§3 

89.6 

8 

7  59 

2 

.00 

7  59 

32 

.02 

7  59 

2 

.02 

82 

89.5 

9 

8  59 

2 

.02 

8  59 

3Z 

.00 

8  59 

3 

.02 

81 

89.4 

10 

9  59 

3 

0.00 

9  59 

33 

0.02 

9  59 

1.02 

4 

O.CX) 

80 

89.4 

1 1 

10  59 

3 

.02 

10  59 

34 

.02 

10  58 

4 

.02 

79 

893 

12 

II   59 

4 

.02 

II   59 

35 

.02 

II   58 

5 

.02 

78 

89-3 

13 

12  59 

5 

.00 

12  59 

1.02 

Z^ 

.00 

12  58 

6 

.02 

77 

89.2 

14 

13  59 

5 

.02 

13  58 

36 

.02 

13  58 

7 

.02 

76 

89.1 

15 

14  59 

6 

0.02 

14  58 

37 

0.02 

14  58 

8 

0.03 

75 

89.1 

i6 

15   59 

7 

.02 

15  58 

38 

.02 

15  58 

1.02 

10 

.02 

74 

^2° 

17 

16  59 

1.02 

8 

.02 

16  58 

39 

•03 

16  57 

II 

.02 

73 

88.9 

i8 

17  58 

9 

.02 

17  58 

41 

.02 

17  57 

12 

.03 

72 

88.9 

19 

18  58 

10 

.02 

18  58 

42 

.02 

18  57 

14 

.02 

71 

88.8 

20 

19  58 

II 

0.03 

19  58 

43 

0.03 

19  57 

15 

0.03 

70 

88.7 

21 

20  58 

13 

.02 

20  58 

1.02 

45 

.02 

20  57 

17 

.03 

69 

88.7 

22 

21    58 

14 

.02 

21   57 

46 

.03 

21    57 

1.02 

19 

.03 

68 

886 

23 

22  58 

15 

•03 

22  57 

48 

•03 

22  56 

21 

•03 

67 

88.5 

24 

23  58 

17 

.02 

23  57 

50 

.03 

23  56 

23 

•03 

66 

88.4 

^1 

24  58 

18 

0.03 

24  57 

52 

0.03 

24  56 

25 

0.03 

65 

88.4 

26 

'1  58 

20 

•03 

25  57 

54 

.03 

25  56 

27 

•03 

64 

88.3 

27 

26  58 

1.02 

22 

•03 

26  57 

56 

•03 

26  56 

29 

.05 

63 

88.2 

28 

27  57 

24 

•03 

27  57 

1.02 

58 

.03 

27  56 

1.02 

32 

•03 

62 

88.1 

29 

28  57 

26 

•03 

28  56 

4     0 

■03 

28  55 

34 

.05 

61 

88.1 

30 

29  57 

28 

0.03 

29  56 

2 

0.05 

29  55 

17 

0.05 

60 

88.0 

31 

30  57 

30 

■03 

30  56 

5 

.05 

30  55 

40 

•OS 

59 

87.9 

32 

31   57 

32 

•03 

31   56 

8 

•03 

31   55 

I 

43 

.05 

58 

87.8 

33 

32  57 

34 

.05 

32  56 

10 

.05 

32  55 

1.02 

46 

•OS 

57 

87.7 

34 

33  57 

37 

•05 

33   56 

13 

•05 

33  54 

49 

•07 

56 

87.6 

35 

34  57 

40 

0.03 

34  56 

1.02 

16 

0.05 

34  54 

S3 

0.05 

55 

87.6 

36 

^1  57 

1.02 

42 

•05 

35   55 

19 

.07 

35   54 

56 

.07 

54 

875 

37 

36  56 

45 

.05 

36  55 

23 

•05 

36  54 

1.02 

5     0 

•07 

53 

87.4 

38 

37  56 

48 

.05 

?>7  55 

26 

.07 

37  53 

4 

•07 

52 

873 

39 

38  56 

51 

.07 

38  55 

30 

.07 

38  53 

8 

.08 

51 

87.2 

40 

39  56 

55 

0.05 

39  55 

1.02 

34 

0.07 

39  53 

13 

0.08 

50 

87.1 

41 

40  56 

58 

.07 

40  54 

38 

.07 

40  53 

1.02 

18 

.08 

49 

87.0 

42 

41    56 

4     2 

.07 

41    54 

42 

.08 

41   52 

23 

.08 

48 

86.9 

43 

42  56 

1.02 

6 

.07 

42  54 

47 

.08 

42  52 

28 

.08 

47 

86.7 

44 

43  55 

I 

10 

.07 

43  54 

52 

.08 

43  52 

23 

.10 

46 

86.6 

45 

44  55 

14 

44  54 

57 

44  52 

39 

45 

86.5 

a 

60' 

h 

A 

a 

6c/ 

I 

A 

a 

60' 

6 

A 

a 

t 

^ 

60' 

A 

6c/ 

A 

6c/ 

d  =  2.°0' 

d  =  Z°2Q' 

rf  =  4°0' 

IS 

».o8 

16-35 

14.30 

[ 

Pag( 

i207 

\ 

a  =  3°  0' 

a=3 

°30' 

a  =  4°  0' 

); 

\  * 

\  d 

60' 

\^ 

A 

\  d 

60' 

\  t 

A 

\^ 

60' 

\   ^ 

A 

\ 

^\ 

A  \ 

A 

^ 

60' 

h\ 

A 

Z\ 

60' 

A  \ 

A 

z\ 

eo' 

A 

/5\ 

o 

45 

0      / 
44  55 

I 

0     / 
4  14 

0.08 

0     / 
44  54 

1.02 

0     / 
4  57 

0.08 

0     / 

44   52 

1.02 

0      / 
5  39 

0. 10 

45 

^.s 

46 

45   55 

I 

19 

.08 

45   53 

I 

5     2 

.08 

45   51 

I 

45 

.10 

44 

86.4 

47 

46  55 

I 

24 

.08 

46  53 

I 

7 

.10 

46  51 

I 

51 

.12 

43 

86.3 

48 

47   55 

I 

29 

.08 

47  53 

I 

13 

.10 

47  51 

1.02 

.  58 

.12 

42 

86.1 

49 

48  55 

1.02 

34 

.10 

48  S2 

1.02 

19 

.12 

48   50 

I 

6     5 

•13 

41 

86.0 

50 

49  54 

I 

40 

0. 10 

49  52 

I 

26 

0.12 

49  50 

I 

13 

0.13 

40 

85.8 

51 

50  54 

I 

46 

.10 

50  52 

I 

Zi 

.12 

50  50 

1.02 

21 

•  13 

39 

85.7 

52 

51   54 

I 

52 

.12 

51    52 

1.02 

40 

•13 

51   49 

I 

29 

•15 

38 

855 

53 

52  54 

I 

59 

.12 

52   51 

I 

48 

•13 

52  49 

I 

38 

•15 

37 

85^4 

54 

53  54 

1.02 

5     6 

.12 

53  51 

I 

56 

•»5 

53  49 

1.02 

47 

•17 

36 

85.2 

55 

54  53 

I 

13 

0.13 

54  51 

1.02 

6     S 

0.15 

54  48 

I 

57 

0.18 

35 

85.0 

56 

55   53 

I 

21 

•15 

55   50 

I 

14 

•»7 

55  48 

1.02 

7     8 

.18 

34 

84.8 

57 

56  53 

1.02 

30 

•15 

56  50 

I 

24 

.18 

56  47 

I 

19 

.20 

33 

84.6 

58 

57  52 

I 

39 

•17 

57  50 

1.02 

35 

.18 

57  47 

1.02 

31 

.22 

32 

84.4 

59 

58  52 

I 

49 

•17 

58  49 

I 

46 

.20 

58  46 

I 

44 

•23 

31 

84.2 

60 

59  52 

I 

59 

0.18 

59  49 

1.02 

58 

0.22 

59  46 

1.02 

0   58 

0.25 

30 

84.0 

61 

60  52 

1.02 

6  10 

.20 

60  48 

I 

7  II 

•23 

60  45 

1.02 

8   13 

•25 

29 

837 

62 

61    51 

I 

22 

.22 

61   48 

1.02 

25 

•25 

61   44 

I 

28 

.28 

28 

83.S 

^^ 

62  51 

1.02 

35 

.23 

62  47 

1 

40 

•27 

62  44 

1.02 

45 

•32 

27 

83^2 

64 

6z  50 

I 

49 

•25 

63  47 

1.02 

56 

•3° 

63  43 

1.02 

9     4 

•33 

26 

82.9 

65 

64  50 

1.02 

7     4 

0.27 

64  46 

I 

8  14 

0.32 

64  42 

1.02 

24 

''•35 

25 

82.5 

66 

65  49 

I 

20 

.30 

65  46 

1.02 

33 

■35 

65  41 

1.02 

45 

.40 

24 

82.2 

67 

66  49 

1.02 

38 

•33 

66  45 

1.02 

54 

•37 

66  40 

1.02 

10     9 

•42 

23 

81.8 

68 

67  48 

I 

58 

•35 

67  44 

1.02 

9  16 

•42 

67  39 

1.02 

34 

•47 

22 

81.4 

69 

68  48 

1.02 

8  19 

.40 

68  43 

1.02 

41 

•45 

68  38 

1.02 

II     2 

•52 

21 

81.0 

70 

69  47 

1.02 

43 

0-43 

69  42 

1.02 

10     8 

0.50 

69  37 

1.02 

33 

0.57 

20 

80.5 

71 

70  46 

I 

9     § 

.48 

70  41 

1.02 

38 

•57 

70  36 

1. 02 

12     7 

.63 

^§ 

79-9 

72 

71  46 

1.02 

38 

•53 

71  40 

1.02 

II    12 

.62 

71   35 

1.03 

45 

.70 

18 

794 

73 

72  45 

1.02 

10  10 

.60 

72  39 

1.02 

49 

.70 

72  33 

1.03 

13  27 

.78 

^l 

78.7 

74 

73  44 

1.02 

46 

.68 

73  38 

1.03 

12  31 

.78 

73  31 

1.03 

14  14 

.88 

16 

78.0 

75 

74  43 

1.03 

II   27 

0.77 

74  36 

1.02 

13   18 

0.88 

74  29 

1.03 

15     7 

1. 00 

15 

77.2 

76 

75  41 

1.02 

12  13 

.90 

75  35 

1.03 

14   II 

1.03 

75  27 

1.03 

'^     I 

1. 15 

14 

76.2 

77 

76  40 

1.03 

13     7 

1.03 

76  zz 

1.05 

15   13 

1. 18 

76  25 

1.05 

17  16 

1-32 

13 

75-2 

78 

77  38 

1.03 

14     9 

1.22 

77  30 

1.03 

16  24 

'•37 

77  22 

1.07 

18  35 

'•55 

12 

74.0 

79 

78  36 

1.03 

15  22 

'•43 

78  28 

1.05 

17  46 

1.63 

78  18 

1.07 

20     8 

1.80 

II 

72.6 

80 

79  34 

1.05 

16  48 

79  25 

1.07 

19  24 

79  14 

1.09 

21   56 

10 

70.9 

81 

80  31 

1.05 

18  31 

80  21 

1.09 

21   21 

80     9 

1.09 

24     5 

9 

68.9 

82 

81   28 

1.09 

20  38 

81    16 

1.09 

23  43 

81     4 

i^i3 

26  41 

8 

66.5 

83 

82  23 

1.09 

23  16 

82  II 

1. 15 

26  39 

57 

1. 18 

29  51 

7 

63.6 

84 

83   18 

I. IS 

26  38 

83     3 

1. 18 

30  20 

82  48 

1.25 

33  47 

6 

599 

85 

84  10 

1.20 

31      I 

54 

1.28 

35     4 

83  36 

^•33 

38  44 

5 

5SI 

86 

85     0 

1-33 

36  55 

84  41 

1-43 

41   15 

84  21 

'•54 

45     4 

4 

48.9 

87 

45 

1-54 

45     2 

85  23 

1. 71 

49  27 

85     0 

1.88 

53  II 

3 

40.6 

88 

86  24 

2.31 

56  20 

0.  58 

2.50 

60  17 

32 

2.86 

63  29 

2 

29.8 

89 

50 

6.00 

71   35 

86  22 

7^5o 

74     4 

53 

8.57 

75  59 

I 

16,0 

90 

2,7     0 

90     0 

30 

90     0 

86     0 

90    0 

0 

0.0 

a 

6c/ 

h 

_A_ 

a 

60' 

h 

A 

a 

^'          h 

A 

a 

t 

A 

60' 

A 

6c/ 

A 

60' 

rf=3*(y 

d  =  Z 

°30' 

d  =  ^°0' 

Page  208]        12.71 


"43 


10.39 


\ 

a  =  4°30' 

a  =  5"0' 

a  =  5'' 30' 

\' 

\« 

\  i 

60' 

\  * 

A 

\<i 

6c/ 

l\* 

A 

\  d 

60' 

\  t 

A 

«\ 

A 

h\ 

A 

z\ 

boT 

A\ 

A 

z\ 

6c/ 

h\ 

A 

z\ 

60' 

<^\ 

p^ 

0 

0     / 

0       / 

0    / 

0       / 

0     / 

0      / 

0 

0 

0 

0    0 

4  30 

0.00 

0    0 

I 

5     0 

0.00 

0    0 

I 

5   30 

0.00 

90 

90.0 

I 

I     0 

30 

.CXD 

I    0 

I 

0 

..cx> 

I     0 

1.02 

30 

.00 

89 

89.9 

2 

2    0 

1.02 

30 

.00 

2    0 

1.02 

0 

.00 

59 

I 

30 

.00 

88 

89.8 

3 

59 

30 

.02 

59 

I 

0 

.02 

2  59 

I 

30 

.02 

^7 

89.7 

4 

3  59 

31 

.00 

3  59 

I 

I 

.00 

3  59 

I 

31 

.00 

86 

89.7 

5 

4  59 

31 

0.00 

4  59 

I 

I 

0.02 

4  59 

1.02 

31 

0.02 

85 

89.6 

6 

5  59 

31 

.oz 

5  59 

1.02 

2 

.00 

5  58 

I 

32 

.00 

84 

895 

7 

6  5Q 

32 

.02 

6  58 

I 

2 

.02 

6  58 

I 

32 

.02 

83 

89.4 

8 

7   59 

1.02 

33 

.00 

7  58 

I 

3 

.02 

7  58 

I 

33 

.02 

82 

893 

9 

8  58 

IZ 

.02 

8  58 

I 

4 

.02 

8  58 

1.02 

34 

.02 

81 

89.2 

10 

9  58 

34 

0.02 

9  58 

i.oa 

5 

0.02 

9  57 

I 

35 

0.02 

80 

89.1 

II 

10  58 

35 

.02 

10  57 

I 

6 

.02 

10  57 

I 

36 

.02 

79 

89.0 

12 

II   58 

l^ 

.02 

II   57 

I 

7 

.02 

II   57 

1.02 

37 

.03 

78 

fA 

13 

12  58 

1.02 

2,7 

.02 

12  57 

I 

8 

.02 

12  56 

I 

39 

.02 

77 

88.8 

14 

13  57 

38 

.02 

13  57 

1.02 

9 

.02 

13  56 

I 

40 

.03 

76 

88-8 

15 

14  57 

39 

0.03 

14  56 

I 

10 

0.03 

14  56 

1.02 

42 

0.02 

75 

88.7 

16 

IS  57 

41 

.02 

15  56 

I 

12 

•03 

IS  55 

I 

43 

.03 

74 

88.6 

17 

16  57 

42 

•03 

16  56 

I 

14 

.02 

16  55 

I 

45 

.03 

73 

88.5 

18 

^l  57 

1.02 

44 

.02 

17  56 

1.02 

15 

.03 

17  55 

I 

47 

•03 

72 

88.4 

19 

18  56 

45 

•03 

18  55 

I 

17 

•03 

18  55 

1.02 

49 

.03 

71 

88.3 

20 

19  56 

47 

0.03 

19  55 

I 

19 

0.03 

19  54 

I 

SI 

0.03 

70 

88.2 

21 

20  56 

49 

.03 

20  55 

I 

21 

.03 

20  54 

I 

53 

.05 

69 

88. 1 

22 

21   56 

51 

.03 

21   55 

1. 02 

23 

.05 

21   54 

1.02 

56 

.03 

68 

88.0 

23 

22  56 

1.02 

53 

■03 

22  54 

I 

26 

•03 

22  53 

I 

.  58 

•05 

67 

V% 

24 

23  55 

55 

.05 

23  54 

I 

28 

.05 

23  53 

I 

6     I 

•05 

66 

87.8 

25 

24  55 

58 

0.03 

24  54 

I 

31 

0.05 

24  53 

1.02 

4 

0.05 

65 

87.7 

26 

25  55 

5     0 

.05 

25  54 

1.02 

34 

.05 

25  52 

I 

7 

•05 

64 

87.6 

27 

26  55 

1.02 

3 

.05 

26  53 

I 

37 

.05 

26  52 

I 

10 

.05 

63 

87.5 

28 

27  54 

6 

.05 

27  53 

I 

40 

.05 

27  52 

1.02 

13 

.07 

62 

87.3 

29 

28  54 

9 

.05 

28  53 

1.02 

43 

■°5 

28  51 

I 

17 

•07 

61 

87.2 

30 

29  54 

12 

0.05 

29  52 

t 

46 

0.07 

29  51 

1.02 

21 

0.C7 

60 

87.1 

31 

30  54 

1.02 

15 

.05 

30  52 

I 

50 

.05 

30  50 

I 

25 

•07 

59 

87.0 

32 

31    53 

18 

.07 

31   52 

I 

53 

■°7 

31   50 

I 

29 

•07 

58 

86.9 

33 

32  53 

22 

•05 

32  52 

1.02 

.  57 

.07 

32  50 

1.02 

33 

.07 

57 

86.8 

34 

33  53 

25 

.07 

33  51 

I 

6     I 

.08 

33  49 

I 

37 

.08 

56 

86.6 

3| 

34  53 

1.02 

29 

0.07 

34  51 

I 

6 

0.07 

34  49 

I 

42 

0.08 

55 

86.5 

36 

35  52 

33 

.08 

35   51 

1.02 

10 

.08 

35  49 

1.02 

47 

.08 

54 

86.4 

17 

36  52 

38 

.07 

l^  50 

I 

15 

.08 

26  48 

I 

52 

.10 

53 

86.2 

38 

17  52 

1.02 

42 

.08 

37  50 

1.02 

20 

.08 

37  48 

1.02 

58 

.10 

52 

86.1 

39 

38  51 

47 

.08 

38  49 

I 

25 

.10 

38  47 

I 

7     4 

.10 

51 

86.0 

40 

39  51 

52 

0.08 

39  49 

I 

31 

O.IO 

39  47 

1.02 

10 

O.IO 

50 

85.8 

41 

40  51 

1.02 

.  57 

.10 

40  49 

1.02 

37 

.10 

40  46 

I 

16 

.12 

49 

857 

42 

41   50 

6     3 

.10 

41  48 

I 

43 

.10 

41  46 

1.02 

23 

.12 

48 

8S5 

43 

42  50 

9 

.10 

42  48 

1.02 

49 

.12 

42  45 

I 

30 

.12 

47 

8S4 

44 

^3  50 

1.02 

15 

.10 

43  47 

I 

56 

.12 

43  45 

1.02 

37 

•13 

46 

85.2 

45 

44  49 

21 

44  47 

7     3 

44  44 

45 

45 

85.0 

a 

tc/\ 

& 

A 

a 

60' 

b 

A 

a 

60' 

6 

A 

a 

t 

^    \ 

6c/ 

A 

60' 

A 

6c/ 

f/  =  4°30' 

1 

d  =  5 

0  0' 

d  =  b 

'8(r 

I27I 


11.43 


1039 


[Page  209 


\ 

a  =  4°  30' 

a  =  5°0 

a  =  5°  30' 

\ 

\  * 

\   d    60^ 

\  < 

A 

\rf 

60' 

i\  t 

A 

\<^ 

60' 

\  t 

A 

\ 

^\ 

h     \^     A 

z\ 

60' 

/t\ 

A 

z\ 

60' 

A  \ 

A 

z\ 

6^ 

^\ 

0\ 

o 

0       / 

0          / 

0     / 

0        / 

0     / 

0       / 

„  0 

45 

44  49 

I 

6  21 

0.12 

44  47 

1.02 

7     3 

0.13 

44  44 

I 

7  45 

0.13 

45 

85.0 

46 

45  49 

I 

28 

.12 

45  46 

I 

II 

••3 

45  44 

1.02 

53 

•15 

44 

84.8 

47 

46  49 

1.02 

35 

.12 

46  46 

1.02 

19 

•'3 

46  43 

1.02 

8     2 

•15 

43 

84.7 

48 

47  48 

I 

42 

•13 

47  45 

I 

27 

•15 

47  42 

I 

II 

•17 

42 

84-5 

49 

48  48 

1.02 

50 

•15 

48  45 

1.02 

36 

•'5 

48  42 

1.02 

21 

•'7 

41 

84-3 

50 

49  47 

I 

59 

0.15 

49  44 

I 

45 

0.17 

49  41 

I 

31 

0.18 

40 

84.1 

51 

50  47 

1.02 

7     8 

•15 

50  44 

1.02 

„  55 

•17 

50  41 

1.02 

42 

.18 

39 

839 

52 

51  46 

I 

17 

•17 

51  43 

I 

8     5 

.18 

51   40 

1.02 

53 

.20 

38 

83.6 

53 

52  46 

1.02 

27 

.18 

52  43 

1.02 

16 

.20 

52  39 

1.02 

9     5 

.22 

37 

834 

54 

53  45 

I 

38 

.18 

53  42 

1.02 

28 

.20 

53  38 

I 

18 

•23 

36 

83.2 

55 

54  45 

1.02 

.  49 

0.20 

54  41 

I 

40 

0.22 

54  38 

1.02 

32 

0.23 

35 

82.9 

56 

55  44 

I 

8     I 

.20 

55  41 

1.02 

53 

•23 

55  Z7 

1.02 

46 

.27 

34 

82.6 

57 

56  44 

1.02 

13 

.23 

56  40 

1.02 

9     7 

•25 

56  36 

1.02 

10     2 

•27 

33 

82.4 

58 

57  43 

1.02 

27 

•25 

57  39 

1.02 

22 

•27 

57  35 

1.02 

18 

.28 

32 

82.1 

59 

58  42 

I 

42 

•25 

58  38 

1.02 

38 

.30 

58  34 

1.02 

35 

•32 

31 

81.7 

60 

59  42 

1.02 

57 

0.27 

59  Z7 

1.02 

56 

0.30 

59  ZZ 

1.02 

54 

^•33 

30 

81.4 

61 

60  41 

1.02 

9  13 

•30 

60  36 

1.02 

ro  14 

•32 

60  32 

1.03 

II    14 

•35 

29 

81. 1 

62 

61   40 

1.02 

31 

•32 

61  35 

1.02 

Zl 

•35 

61   30 

1.02 

35 

.38 

28 

80.7 

f^ 

62  39 

1.02 

50 

•35 

62  34 

1.02 

54 

•38 

62  29 

1.02 

58 

.42 

27 

80.3 

64 

63  38 

1.02 

10  II 

•37 

^l  ZZ 

1.02 

II   17 

.42 

63  28 

1.03 

12  23 

•45 

26 

79-9 

65 

64  ^ 

1.02 

33 

0.40 

64  32 

1.02 

42 

0-43 

64  26 

1.02 

50 

0.48 

25 

79-4 

66 

fl  ^^ 

1.02 

57 

•43 

65  31 

1.03 

12     8 

.48 

65  25 

1.03 

13   19 

•53 

24 

78.9 

67 

66  35 

1.02 

II   23 

.48 

66  29 

1.02 

37 

•S3 

66  23 

1.03 

51 

•57 

23 

78.4 

68 

^7  34 

1.02 

52 

•52 

67  28 

1.03 

13     9 

•57 

67  21 

1-03 

14  25 

.62 

22 

77.8 

69 

68  IZ 

1.03 

12  23 

•57 

68  26 

1.02 

43 

.63 

68  19 

1.03 

15     2 

.68 

21 

77.2 

70 

69  31 

1.02 

57 

0.63 

69  25 

1.03 

14  21 

0.68 

69  17 

1.03 

^  43 

0.75 

20 

765 

71 

70  30 

1.03 

13  35 

.70 

70  23 

1.05 

15     2 

■71 

70  15 

1.05 

16  28 

•83 

19 

75-8 

72 

71   28 

1.03 

14  17 

.78 

71   20 

1.03 

48 

.87 

71   12 

1.05 

17  18 

•93 

18 

75^0 

73 

72  26 

1.03 

15     4 

.87 

72  18 

1.05 

16  40 

■95 

72     9 

1.05 

18  14 

1.02 

17 

74.1 

74 

73  24 

1.05 

56 

.98 

71  IS 

1.05 

17  Z7 

1.07 

7Z     6 

1.05 

19  15 

1. 15 

16 

73-1 

75 

74  21 

1.05 

16  55 

1. 10 

74  12 

1.05 

18  41 

1.20 

74     3 

1.07 

20  24 

1.30 

15 

72.0 

76 

75   18 

1.05 

18     I 

1.27 

75     9 

1.07 

19  53 

1-37 

59 

1.09 

21  42 

1.47 

14 

70.7 

77 

7^  15 

1.05 

19  17 

1-45 

76     5 

1.07 

21   It; 

1-57 

75   54 

1.09 

23  10 

1.68 

13 

693 

78 

77  12 

1.07 

20  44 

1.68 

77     I 

i.og 

22  49 

1.82 

76  49 

I. II 

24  51 

1.93 

12 

67.7 

79 

78     8 

1.09 

22  25 

1.97 

56 

I. II 

24  38 

2.10 

77  43 

'•'3 

26  47 

2.23 

II 

659 

80 

79     3 

I. II 

24  23 

78  50 

1-13 

26  44 

78  36 

1. 15 

29     I 

2.60 

10 

637 

81 

57 

1-13 

26  42 

79  43 

1. 18 

29  13 

79  28 

1.20 

31   37 

9 

61.2 

82 

80  50 

1. 18 

29  29 

80  34 

1.20 

32     9 

80  18 

1.25 

34  41 

8 

58.2 

83 

81  41 

1.22 

32  51 

81   24 

1.25 

35  40 

81     6 

1.30 

38  19 

7 

54^6 

84 

82  30 

1.28 

36  59 

82  12 

1.36 

39  56 

52 

1^43 

42  39 

6 

50.3 

85 

83  17 

1-43 

42     5 

0     56 

1.50 

45     7 

82  34 

1.58 

47  51 

5 

45-1 

86 

0     59 

1.62 

48  27 

83  36 

1.76 

51   26 

83  12 

1.88 

54     5 

4 

38.7 

87 

84  36 

2.07 

56  23 

84  10 

2.22 

59     7 

44 

2.40 

61   28 

3 

31-0 

88 

85     5 

3-33 

66     5 

37 

3-53 

6?>  15 

84     9 

3-75 

70     5 

2 

21.8 

89 

23 

8.57 

77  30 

54 

10. 0 

78  43 

25 

12.0 

79  44 

I 

"•3 

90 

30 

90     0 

85     0 

90     0 

30 

90     0 

0 

0.0 

a 

60' 

6 

A 

a 

6c/ 

6 

A 

a 

60' 

h 

A 

a 

t 

A 

60' 

A 

60' 

^ 

60' 

fZ  =  4°S0' 

<^  =  5°0' 

d==5°2(y 

55901°- 


Page  210]  95^4 


8.777 


8.144 


\ 

a  =  6 

°0' 

a  =  6 

°30' 

a  =  7°  0' 

\ 

\  ° 

\  <?     (>o'  1 

\  ^   ~ 

\(f 

6& 

\  ^ 

A 

\  d 

60' 

\  ^ 

A 

A 

A 

^  \ 

A 

z\^  60' 

A  \ 

A 

Z\ 

60' 

A  \ 

A 

z\ 

60' 

"^X 

0 

0      / 

0       / 

0     / 

i  30 

0     / 

0     / 

0 

0 

0 

0    0 

I 

6     0 

0.00 

0    0 

I 

0.00 

0    0 

I 

7    0 

0.00 

?° 

90.0 

I 

I     0 

1.02 

0 

.00 

I    0 

1.02 

30 

.00 

I    0 

1.02 

0 

.00 

89 

89.9 

2 

59 

I 

0 

.00 

59 

I 

30 

.02 

59 

I 

0 

.02 

88 

89.8 

3 

2  59 

I 

0 

.02 

2  59 

1.02 

31 

.00 

2  59 

1.02 

I 

.00 

^7 

89.7 

4 

3  59 

1.02 

I 

.00 

3  58 

I 

31 

.00 

3  58 

I 

I 

.02 

86 

89^5 

5 

4  58 

I 

I 

0.02 

4  58 

I 

31 

0.02 

4  58 

1.02 

2 

0.00 

!5 

89.4 

5 

5  58 

I 

2 

.02 

5   58 

1.02 

32 

.02 

5   57 

I 

2 

.02 

^ 

89-3 

7 

6  58 

1.02 

■  3 

.02 

6  57 

I 

33 

.02 

6  57 

1.02 

3 

.02 

l^ 

89.2 

8 

7  57 

I 

4 

.02 

7  57 

I 

34 

.02 

7  56 

I 

4 

.02 

82 

89.1 

9 

8  57 

I 

5 

.02 

8  57 

1. 02 

35 

.02 

8  56 

1.02 

5 

.02 

81 

89.0 

10 

9  57 

1.02 

6 

0.02 

9  56 

I 

3^ 

0.02 

9  55 

I 

6 

0.03 

80 

88.9 

1 1 

10  56 

I 

7 

.02 

10  56 

1.02 

37 

.03 

10  55 

I 

8 

.02 

79 

88.7 

12 

II   56 

I 

8 

.02 

II   55 

I 

39 

.02 

II   55 

1.02 

9 

.03 

78 

83.6 

13 

12  56 

1.02 

9 

•03 

12  55 

1.02 

40 

•03 

12  54 

I 

II 

•03 

77 

88. 5 

14 

13  55 

I 

II 

■03 

13  54 

I 

42 

•03 

13  54 

1.02 

13 

•03 

76 

88.4 

15 

14  55 

I 

13 

0.02 

14  54 

I 

44 

0.03 

14  53 

I 

15 

0.03 

75 

88.3 

16 

15   55 

1.02 

14 

•03 

15   54 

1.02 

46 

.03 

15  53 

1.02 

17 

.03 

74 

88.1 

17 

16  54 

I 

16 

.03 

16  53 

I 

48 

•03 

16  52 

I 

19 

•03 

73 

88.0 

18 

17  54 

I 

18 

.05 

17  53 

1.02 

50 

•03 

17  52 

1.02 

21 

.05 

72 

87.9 

19 

18  54 

1.02 

21 

.03 

18  52 

I 

52 

.05 

18  51 

I 

24 

.05 

71 

87.8 

20 

19  53 

I 

23 

0.03 

19  52 

I 

55 

0.03 

19  51 

1.02 

27 

0.05 

70 

87.6 

21 

20  53 

1.02 

25 

.05 

20  52 

1.02 

57 

•05 

20  50 

I 

30 

.05 

^2 

87.5 

22 

21   52 

I 

28 

•05 

21   51 

I 

7   0 

•05 

21   50 

1.02 

33 

•OS 

68 

87.4 

23 

22  52 

I 

31 

.05 

22  51 

1.02 

3 

.05 

22  49 

I 

36 

•OS 

67 

87.2 

24 

23  52 

1.02 

34 

.05 

23  50 

I 

6 

.07 

23  49 

1.02 

39 

.07 

66 

87.1 

25 

24  51 

I 

37 

0.05 

24  50 

1.02 

10 

0.05 

24  48 

I 

43 

0.07 

^5 

87.0 

26 

25   51 

1.02 

40 

.07 

25  49 

I 

13 

.07 

25  48 

1.02 

47 

•07 

f4 

86.8 

27 

26  50 

I 

44 

.05 

26  49 

1.02 

17 

.07 

26  47 

1.02 

51 

.07 

f3 

86.7 

28 

27    qo 

I 

47 

.07 

27  48 

I 

21 

.07 

27  46 

I 

55 

.07 

62 

86.6 

29 

28    50 

1.02 

51 

.07 

28  48 

1.02 

25 

.08 

28  46 

1.02 

59 

.08 

61 

86.4 

30 

29  49 

I 

55 

0.07 

29  47 

I 

30 

0.07 

29  45 

I 

8     4 

0.08 

60 

86.3 

SI 

30  49 

1.02 

59 

.08 

30  47 

1.02 

34 

.08 

30  45 

1.02 

9 

.08 

5g 

86.1 

32 

31    48 

I 

7     4 

.08 

31  46 

I 

39 

.08 

31  44 

1.02 

14 

.10 

58 

86.0 

33 

32   48 

1.02 

9 

.08 

32  46 

1.02 

44 

.08 

32  43 

I 

20 

.10 

57 

85.8 

34 

11  47 

I 

14 

.08 

33  45 

I 

49 

.10 

33  43 

1.02 

26 

.10 

56 

85.6 

35 

34  47 

1.02 

19 

0.08 

34  45 

1.02 

0  55 

O.IO 

34  42 

1.02 

^l 

O.IO 

55 

8S5 

36 

35  46 

I 

24 

.10 

35  44 

1.02 

8     I 

.10 

35  41 

I 

38 

.12 

54 

853 

n 

36  46 

1.02 

30 

.10 

36  43 

I 

7 

.12 

3^  41 

1.02 

45 

.12 

53 

8S1 

38 

2,7  45 

I 

36 

.10 

37  A3 

1.02 

14 

.12 

37  40 

1.02 

52 

.12 

52 

f4-9 

39 

38  45 

1.02 

42 

.12 

38  42 

1.02 

21 

.12 

38  39 

I 

59 

.12 

51 

84.8 

40 

39  44 

I 

49 

0.12 

39  41 

I 

28 

0.12 

39  39 

1.02 

9     6 

0.13 

SO 

84.6 

41 

40  44 

1.02 

56 

.12 

40  41 

1.02 

35 

•13 

40  38 

1.02 

14 

•15 

4§ 
48 

84.4 

42 

41   43 

1.02 

8     3 

•  13 

41  40 

1.02 

43 

•13 

41   37 

1.02 

23 

•15 

84.2 

43 

42  42 

I 

1 1 

•  13 

42  39 

I 

51 

•IS 

42  36 

1.02 

32 

•15 

'^Z 

84.0 

44 

43  42 

1.02 

19 

•"3 

43  39 

1.02 

9     0 

•15 

43  35 

1.02 

41 

•17 

46 

83.8 

45 

44  41 

27 

44  38 

9 

44  34 

51 

45 

83-5 

a 

60' 

6 

A 

a 

60' 

h 

A 

a 

60' 

h 

A 

a 

/ 

A 

60' 

A 

60' 

A 

60' 

d  =  i 

3°0' 

rZ  =  e 

.°  30' 

d  = 

TO' 

^■^"" 

9-514 


8.777 


8.144 


[Page  211 


\ 

a  =  6°0' 

a  =  6°  30' 

a^TQt 

^ 

\  * 

\    rfj  fo'   W     i 

A 

X  d 

60' 

\ 

t 

A 

\ 

d 

60' 

\  t 

z\ 

A 

\ 

f\ 

*  \i    A 

2\ 

60' 

A  \ 

A 

z 

\ 

60' 

h 

\ 

A 

60' 

0 

/?\ 

o 

0      / 

ff      ' 

0     / 

0 

/ 

0 

, 

0      / 

% 

0 

45 

44  41 

I 

8  27 

0.15 

44   38 

1.02 

9 

9 

0.17 

44 

34 

I 

9  51 

0.17 

45 

83^5 

46 

45  41 

1.02 

36 

•'7 

45   37 

1.02 

19 

•17 

45 

34 

1.02 

10     I 

.18 

44 

83.3 

47 

46  40 

1.02 

46 

••7 

46  36 

I 

29 

.18 

46 

33 

1.02 

12 

.20 

43 

83.1 

48 

47  39 

1.02 

56 

•17 

47  36 

1.02 

40 

.18 

47 

32 

1.02 

24 

.20 

42 

82.8 

49 

48  38 

I 

9     6 

.18 

48   35 

1.02 

51 

.20 

48 

31 

1.02 

36 

.22 

41 

82.6 

50 

49  38 

1.02 

17 

0.20 

49  34 

1.02 

10 

3 

0.22 

49 

30 

1.02 

49 

0.22 

40 

82.3 

51 

50  37 

1.02 

29 

.20 

50  33 

1.02 

16 

.22 

50 

29 

1.03 

II      2 

•25 

3? 

82.0 

52 

51   36 

1.02 

41 

.22 

51   32 

1.02 

29 

•23 

51 

27 

1.02 

17 

•25 

3S 

81.8 

53 

52  35 

1.02 

54 

•23 

52  31 

1.02 

43 

.25 

52 

26 

1.02 

^0 

.27 

37 

81.S 

54 

53  34 

1.02 

10     8 

•25 

53   30 

1.02 

58 

.27 

53 

25 

1.02 

48 

.28 

36 

81.1 

55 

54  2>Z 

1.02 

23 

0.27 

54  29 

1.03 

II 

14 

0.28 

54 

24 

1.03 

12     5 

0.30 

35 

80.8 

56 

55  32 

1.02 

39 

.27 

55  27 

1.02 

31 

•30 

55 

22 

1.02 

23 

.32 

34 

80.5 

57 

56  31 

1.02 

55 

•30 

56  26 

1.02 

49 

•32 

S6 

21 

1.03 

42 

•35 

33 

80.1 

58 

57  30 

1.02 

II   13 

•32 

57  25 

1.02 

12 

8 

•33 

57 

19 

1.02 

13     3 

•37 

32 

79-7 

59 

58  29 

1.02 

32 

•33 

58  24 

1.03 

28 

•37 

58 

18 

1.03 

25 

.38 

31 

79-3 

6o 

59  28 

1.03 

52 

0.37 

59  22 

1.02 

50 

0.38 

59 

16 

'■03 

48 

0.42 

30 

78.9 

6i 

60  26 

1.02 

12  14 

.38 

60  21 

1.03 

13 

^^ 

.42    60 

14 

1.03 

14  13 

•43 

29 

78^5 

62 

61   25 

1.03 

Z7 

.42 

61    19 

1.03 

3S 

•45 

61 

12 

1.03 

39 

.48 

28 

78.0 

63 

62  23 

1.02 

13     2 

•45 

62  17 

1.03 

14 

5 

.48 

62 

10 

1.03 

15     8 

•52 

27 

77^5 

64 

63  22 

1.03 

29 

.48 

63   15 

1.03 

34 

•52 

63 

8 

1.03 

39 

•55 

26 

76.9 

65 

64  20 

1.03 

58 

0.52 

64  13 

'•03 

15 

5 

o^57 

64 

6 

1.03 

16  12 

0.60 

25 

76.4 

66 

65   18 

1.03 

14  29 

•57 

65   11 

1.03 

39 

.60 

65 

4 

I. OS 

48 

.65 

24 

757 

67 

66  16 

1.03 

15     3 

.62 

66     9 

1.05 

16 

15 

.67 

66 

I 

1.05 

17  27 

.70 

23 

75^1 

68 

67   14 

1.03 

40 

.68 

67     6 

1.03 

55 

•72 

58 

i.os 

18     9 

•77 

22 

74^3 

69 

68  12 

1.05 

16  21 

•73 

68     4 

1.05 

17 

38 

.78 

67 

55 

1.05 

55 

.83 

21 

73^6 

70 

69     9 

1.05 

17     5 

0.82 

69     I 

1.05 

18 

25 

0.87 

68 

52 

1.07 

19  45 

0.92 

20 

72.7 

71 

70     6 

1.05 

0  54 

.88 

58 

1.07 

19 

17 

•95 

69  48 

1.07 

20  40 

1. 00 

iq 

71.8 

72 

71     3 

1.05 

18  47 

.98 

70  54 

1.07  i 

20 

14 

1.05 

70 

44 

1.09 

21  40 

1. 12 

18 

70.8 

73 

72     0 

1.07 

19  46 

1. 10 

71    50 

1.07 

21 

17 

1. 17 

71 

39 

1.09 

22  47 

1-23 

17 

69.7 

74 

56 

1.07 

20  52 

1.23 

72  46 

1.09 

22 

27 

1.30 

72 

34 

1.09 

24     I 

'•37 

16 

68.5 

75 

73   52 

1.09 

22     6 

1.38 

73  41 

1.09 

23 

45 

1.47 

73 

29 

I. II 

25  23 

'•53 

15 

67.1 

76 

74  47 

1.09 

23  29 

'•57 

74  36 

I. II 

25 

13 

1.65 

74- 

23 

^■n 

26  55 

1.72 

14 

65^6 

77 

75  42 

I. II 

25     3 

1.77 

75  30 

1. 13 

26 

52 

1.85 

75 

16 

1. 15 

28  38 

'•93 

13 

639 

78 

76  36 

I-I3 

26  49 

2.03 

76  23 

1. 15 

28 

43 

2.12 

76 

8 

1. 18 

30  34 

2.20 

12 

62.0 

79 

77  29 

1. 15 

28   51 

2-33 

77   15 

1.18 

30 

50 

2.43 

59 

1.20 

32  46 

2.50 

11 

59^8 

80 

78  21 

1. 18 

31    II 

2.72 

78     6 

1.22 

33 

16 

2.80 

77 

49 

I.2S 

35   16 

2.87 

10 

57^3 

81 

79  12 

1.22 

33  54 

55 

1.28 

36 

4 

78 

37 

1.30 

38     8 

9 

54^4 

82 

80     I 

1.30 

37     4 

79  42 

1.30 

39 

18 

79 

23 

1.36 

41   25 

8 

51^  I 

83 

47 

1.36 

40  47 

80  28 

1-43 

43 

4 

80 

7 

1.50 

45   13 

7 

47^3 

84 

81   31 

1.46 

45     9 

81    10 

1.58 

47 

28 

47 

1.62 

49  36 

6 

42.9 

85 

82   12 

,.67 

50  20 

48 

1.76 

52 

35 

81 

24 

1.82 

54  38 

5 

37-7 

86 

48 

2.00 

56  26 

82  22 

2.07 

58 

31 

57 

2.31 

6o  24 

4 

31-7 

87 

83   18 

2.61 

63  32 

51 

2.86 

65 

20 

82 

23 

3.00 

66  55 

3 

24.8 

88 

41 

4.29 

71   38 

83  12 

4.62 

72 

58 

43 

4.62 

74     8 

2 

17. 1 

89 

55 

12.0 

80  34 

25 

12.0 

81 

17 

56 

15.0 

81   55 

I 

8.8 

90 

84     0 

90     0 

30 

90 

0 

83 

0 

90     0 

0 

0.0 

a 

60' 

h 

A 

a 

60' 

b 

A 

a 

60' 

> 

b 

A 

a 

t 

A 

60' 

A 

60' 

A 

60' 

J  =  6*'0' 

d  =  &Z 

0' 

d^TQ' 

Page  212]  7  50 


7-"S 


6.691 


I 

0 

a  =  7°  30' 

a  =  8 

OQ, 

0  =  8 

°30' 

\ 

\  * 

6cy 

A 

A 

60' 

A  \     A 

z\ 

A 
60' 

60' 

A 

Z\ 

_A 
60' 

A 

0     / 

0       / 

0      / 

R      ' 

0      / 

%     ' 

0 

0 

0 

0    0 

1.02 

7  30 

0.00 

0     0 

1.02 

8     0 

0.00 

0     0 

1.02 

8  30 

0.00 

90 

90.0 

I 

59 

I 

30 

.00 

59 

I 

0 

.00 

59 

I 

30 

.00 

89 

89.9 

2 

I   59 

1.02 

30 

.02 

I    59 

1.02 

0 

.02 

I   59 

1.02 

30 

.02 

88 

!9-7 

3 

4 

2  58 

I 

31 

.00 

2  58 

I 

I 

.00 

2  58 

1.02 

31 

.00 

87 

89.^ 

3  58 

1.02 

31 

.02 

3   58 

1.02 

I 

.02 

3  57 

I 

31 

.02 

86 

89.4 

g 

4  57 

1 

32 

0.00 

4  57 

1.02 

2 

0.02 

4  57 

1.02 

32 

0.02 

!5 

893 

5 

5   57 

1.02 

32 

.02 

5   56 

I 

3 

.02 

5  56 

1.02 

33 

.02 

l^ 

89.2 

7 

6  56 

I 

33 

.02 

6  56 

1.02 

4 

.02 

6  55 

I 

34 

.02 

l^ 

89.0 

8 

7  56 

1.02 

34 

.02 

7  55 

I 

5 

.02 

7  55 

1.02 

35 

.02 

82 

88.9 

9 

8  55 

I 

35 

•03 

8  55 

1.02 

6 

.02 

8  54 

1.02 

36 

.03 

81 

88,7 

10 

9  55 

1.02 

37 

0.02 

9  54 

1.02 

7 

0.03 

9  53 

I 

38 

0.02 

80 

88.6 

II 

10  54 

I 

38 

•03 

10  53 

I 

9 

.03 

10  53 

1.02 

39 

•03 

79 

88.5 

12 

II   54 

1.02 

40 

.03 

II   53 

1.02 

II 

.03 

1 1   52 

1.02 

41 

•03 

78 

88.3 

13 

12  53 

I 

42 

•03 

12  52 

I 

13 

.03 

12  51 

I 

43 

•03 

7? 

88.2 

14 

13   S3 

1.02 

44 

•°3 

13   52 

1.02 

15 

•03 

13  51 

1.02 

45 

.05 

76 

88.0 

15 

14  52 

I 

46 

0.03 

14  51 

1.02 

17 

0.03 

14  50 

1.02 

48 

0.03 

75 

87.9 

16 

15   52 

1.02 

48 

•03 

15   50 

I 

19 

•OS 

15  49 

1.02 

50 

.05 

74 

^7-7 

17 

16  51 

1.02 

50 

.05 

16  50 

1.02 

22 

.03 

16  48 

I 

53 

.05 

73 

87.6 

18 

17  50 

I 

53 

•05 

17  49 

1.02 

24 

.05 

17  48 

1.02 

56 

•05 

72 

87.4 

19 

18   50 

1.02 

56 

•OS 

18  48 

I 

27 

.05 

18  47 

1.02 

59 

•05 

71 

873 

20 

19  49 

I 

59 

0.05 

19  48 

1.02 

30 

0.07 

19  46 

I 

9     2 

0.07 

70 

87.1 

21 

20  49 

1.02 

8     2 

.05 

20  47 

1.02 

34 

.05 

20  46 

1.02 

6 

.05 

69 

86.9 

22 

21   48 

I 

5 

.05 

21   46 

I 

37 

.07 

21   45 

1.02 

9 

.07 

68 

86.8 

23 

22  48 

1.02 

8 

.07 

22  46 

1.02 

41 

.07 

22  44 

1.02 

13 

.07 

67 

86.6 

24 

23  47 

1.02 

12 

•07 

23  45 

1.02 

45 

.07 

23  43 

1.02 

17 

.08 

66 

86.5 

25 

24  46 

I 

16 

0.07 

24  44 

I 

49 

0.07 

24  42 

I 

22 

0.07 

^5 

86.3 

26 

25  46 

1.02 

20 

•07 

25  44 

1.02 

53 

.08 

25  42 

1.02 

26 

.08 

64 

86.1 

27 

26  45 

1.02 

24 

.08 

26  43 

1.02 

58 

.08 

26  41 

1.02 

3^ 

.08 

^3 

^5? 

28 

27  44 

I 

29 

.08 

27  42 

1.02 

9     3 

.08 

27  40 

1.02 

3^ 

.10 

62 

85.8 

29 

28  44 

1.02 

34 

.08 

28  41 

I 

.08 

28  39 

1.02 

42 

.10 

61 

85.6 

30 

29  43 

1.02 

39 

0.08 

29  41 

1.02 

13 

o.io 

29  38 

1.02 

48 

0.10 

60 

854 

31 

30  42 

I 

44 

.08 

30  40 

1.02 

19 

.10 

30  37 

1.02 

54 

.10 

5? 

85.2 

32 

31   42 

1.02 

49 

.10 

31    39 

1.02 

25 

.10 

31    36 

I 

10     0 

.10 

58 

85.0 

33 

32  41 

1.02 

55 

.10 

32   38 

1.02 

31 

.10 

32  36 

1.02 

6 

.12 

57 

84.8 

34 

33   40 

1.02 

9     I 

.12 

33   37 

I 

37 

.12 

33  35 

1.02 

13 

.12 

56 

84.6 

35 

34  39 

I 

8 

0.12 

34  37 

1.02 

44 

0.12 

34  34 

1.02 

20 

0.13 

55 

84.4 

36 

35  39 

1.02 

15 

.12 

35  36 

1.02 

51 

•13 

35  33 

1.02 

28 

•13 

54 

84.2 

1>7 

36  38 

1.02 

22 

.12 

36  35 

1.02 

59 

•13 

3^  32 

1.02 

36 

•13 

53 

84.0 

38 

37  37 

1.02 

29 

•13 

37  34 

1.02 

10     7 

•13 

37  31 

1. 02 

44 

•15 

52 

83.8 

39 

38  36 

1.02 

37 

•13 

3^  33 

1.02 

15 

•15 

38  30 

1.03 

53 

•15 

51 

835 

40 

39  35 

I 

45 

0.15 

39  32 

1.02 

24 

0.15 

39  28 

1.02 

II     2 

0.17 

50 

83.3 

41 

40  35 

1.02 

54 

•IS 

40  31 

1.02 

33 

•17 

40  27 

1.02 

12 

•17 

4^ 

83.1 

42 

41   34 

1.02 

10     3 

•IS 

41   30 

1.02 

43 

•17 

41   26 

1.02 

22 

.18 

48 

82.9 

43 

42  33 

1.02 

12 

•  17 

42  29 

1.02 

S3 

•17 

42  25 

1.02 

33 

.18 

4Z 

82.6 

44 

43   32 

1.02 

22 

.18 

43   28 

1.02 

II     3 

.18 

43  24 

1.03 

44 

.20 

46 

82.3 

45 

44  3^ 

33 

44  27 

14 

44  22 

56 

45 

82.1 

a 

60' 

h 

A 

a 

60' 

6 

^ 

a 

60' 

& 

A 

a 

t 

A 

60' 

A 

60' 

A 

60' 

d  =  ' 

rso' 

d  =  \ 

5°0' 

d  =  l 

;*'30' 

7596 


7- "5 


6.691 


[Page  213 


46 

47 
48 

49 

50 

51 

52 
53 
54 

56 
57 
58 
59 

60 

61 
62 

63 

64 

65 

66 
67 
68 


70 

71 

72 

73 
74 

75 
76 

77 
78 
79 

80 

81 
82 

83 
84 

85 

86 

87 


90 


a  =  7°  30' 

60' 

A 


44  31 

45  30 

46  29 

47  28 

48  26 

49  25 

50  24 

51  23 

52  21 

53  20 

54  18 

55  17 

56  15 

57  13 

58  12 

59  10 

60  8 

61  5 

62  3 

63  I 

58 

64  55 

65  52 

66  49 

67  46 

68  42 

69  38 

70  Zi 

71  28 

72  22 

7Z  16 

74  9 

75  I 
53 

76  43 

77  31 

78  18 

79  3 
45 

80  24 

81  o 
30 
56 

82  14 
26 

30 


0   / 

1.02 

10  33 

1.02 

44 

1.02 

56 

i-o.l 

II   8 

1.02 

21 

1.02 

35 

1.02 

49 

1-03 

12  4 

1.02 

20 

1.03 

Z7 

1.02 

56 

1.03 

13  15 

1.03 

35 

1.02 

57 

1.03 

14  20 

1.03 

45 

1.05 

15  12 

1.03 

40 

1.03 

16  10 

1.05 

43 

i.or; 

17  18 

1.05 

56 

1.05 

18  37 

1.05 

19  22 

1.07 

20  10 

1.07 

21  3 

1.09 

22  I 

1.09 

23  5 

I. II 

24  15 

l.II 

25  32 

1-13 

26  58 

1. 15 

28  33 

1. 15 

30  20 

1.20 

32  20 

1.25 

34  36 

1.28 

Z7   10 

1-33 

40  5 

1-43 

43  25 

1.54 

47  13 

1.67 

51  31 

2.00 

56  30 

2.31 

62  s 

3-33 

68  19 

5.00 

75  9 

15.0 

82  27 

90  0 

_A 

60' 


.22 
•23 

0.23 
■25 
•27 
.28 

•32 
0.32 
•33 
•37 
.38 
.42 

0.45 

•47 

.50 

•55 
.58 

0.63 
.68 

•75 
.80 


0.97 
1.07 
1. 17 
1.28 
1^43 

1.58 
1.78 
2.00 
2.27 
2.57 

2.92 
3^33 


60'         J 
A 

d  =  T  30' 


_A_ 

60' 


a  =  8°0' 

60' 

A 


0   / 

0   / 

44  27 

1.02 

II  14 

45  26 

1.03 

26 

46  24 

1. 02 

39 

47  23 

1.02 

52 

48  22 

1.03 

12  6 

49  20 

1.02 

20 

50  19 

1.02 

35 

51  18 

1-03 

52 

52  16 

1.03 

13  9 

53  14 

1.02 

27 

54  13 

1.03 

46 

55  II 

1.03 

14  6 

56  9 

1.03 

28 

57  7 

1.03 

qi 

58  5 

1.03 

15  16 

59  3 

1.03 

42 

60  I 

Ko-; 

16  10 

58 

1.03 

40 

61  56 

i.o:; 

17  12 

62  53 

1.05 

47 

6Z   50 

1.05 

18  24 

64  47 

1.07 

19  4 

65  43 

1.07 

47 

66  39 

1.07 

20  34 

67  35 

1.07 

21  25 

68  ^i 

1.09 

22  20 

69  26 

1.09 

23  21 

70  21 

i.09 

24  27 

71  16 

I. II 

25  40 

72  10 

I-I3 

27  I 

7Z     3 

1. 15 

28  30 

55 

1.18 

30  9 

74  46 

1. 18 

32  0 

75  37 

1.22 

34  4 

76  26 

1.28 

36   23 

77   13 

1.30 

38  59 

59 

1.40 

41  56 

78  42 

1.46 

45  17 

79  23 

1.58 

49  4 

80  I 

1.76 

53  22 

35 

2.07 

58  12 

81  4 

2.<;o 

6i  36 

28 

3^53 

69   35 

45 

5-45 

76     3 

56 

15.0 

82  55 

82  0 

90  0 

_A 

60' 


■23 
•23 

0.25 
.28 
.28 
•30 
•32 

0^33 
•37 
•38 
.42 

•43 

0.47 
.50 
•53 
•58 
.62 

0.67 

.72 
.78 

•85 
.92 


•35 
1.48 

1.65 
.85 

2.07 
2.32 
2.60 

2.95 
3-35 


A    I 

d  =  S°  0' 


_A^ 

60' 


a  =  8°  30' 


0   / 

0   / 

44  22 

1. 02 

II  56 

45  21 

1.02 

12   9 

46  20 

1.03 

22 

47  18 

1.02 

36 

48  17 

1.03 

50 

49  15 

1.02 

13  5 

50  14 

1.03 

22 

51  12 

1.03 

39 

52  10 

1.02 

57 

53  9 

1.03 

14  16 

54  7 

1.03 

36 

55  5 

1.03 

58 

56  3 

1.05 

15  21 

57  0 

1.03 

45 

58 

1.03 

16  II 

58  56 

1.05 

^2 

59  53 

I. OS 

17     8 

60  50 

1.05 

39 

61  47 

1.05 

18  13 

62  44 

1.05 

50 

63  41 

1.07 

19  29 

64  37 

1.07 

20  1 1 

65  33 

1.07 

56 

66  29 

1.07 

21  45 

67   25 

1.09 

22  38 

68  20 

1.09 

23  36 

69  15 

I. II 

24  39 

70  9 

I. II 

25  48 

71   3 

••13 

27  4 

56 

1. 15 

28  28 

72  48 

1. 15 

30  0 

73  40 

1.20 

31  42 

74  30 

1.20 

33  36 

75  20 

1.2'; 

35  43 

76  8 

1.30 

38  4 

54 

^•33 

40  43 

77  39 

1-43 

43  41 

78  21 

'•54 

47  2 

79  0 

1.62 

50  48 

37 

1.88 

55  2 

80  9 

2.14 

59  45 

37 

2.73 

64  59 

59 

3^53 

70  42 

Si  16 

5-45 

76  51 

27 

20.0 

83  20 

30 

90  0 

6c/ 


•23 
•23 
•25 

0.28 
.28 
•30 
.32 

•33 

0.37 
•38 
.40 

•43 
•47 

0.48 
•52 
•57 
.62 
.65 

0.70 
•75 


•97 

1.05 
1. 15 

1.27 
1.40 
^•53 

1.70 
1.90 
2.12 
2.35 
2.65 

2.97 

3^35 
3^77 


45 
44 
43 
42 

41 

40 

39 
38 
37 
36 

35 

34 
33 
32 
31 

30 

29 
28 

26 

25 

24 
23 
22 
21 

20 

19 
18 

17 
16 

15 

14 
13 
12 
II 

10 

9 

8 

7 
6 

5 

4 
3 
2 
I 


82.1 
81.8 
81.S 
8i.2 
80.9 

80.6 
80.2 
79-9 
795 
79.2 

78.8 
78^3 
77.9 
77-4 
77.0 

76.4 
75-9 
753 
74-7 
74.1 

73^4 
72.6 
71.8 
71.0 
70.1 

69.1 
68.0 
66.8 

65.5 
64.1 

62.6 
60.8 

58^9 
56.8 

54-4 

51-7 
48.7 

453 
41.4 

37-1 

32.2 
26.7 
20.0 
14. 1 
7-1 
0.0 


^'        6 

A    I 

r/  =  8°30' 


6c/ 


Page  214]         6.314 


5976 


5-671 


\ 

0  =  9^0' 

a  =  9 

°30' 

a  =  10''0' 

\  ^ 

\  * 

1 

■ 

,           1 

\  d  1  60' 

\     t 

A 

\  d 

60' 

\.    t 

A 

\  d 

60' 

\   ^ 

A 

\ 

A 

A\T 

z\ 

60' 

A  \ 

A 

Z\ 

60' 

^\ 

A 

2\ 

60' 

c\ 

0 

I3\ 

0 

0     / 

0       / 

0     / 

0     / 

0     / 

0      / 

0 

0 

0    0 

1.02 

9     0 

0.00 

0    0 

1.02 

9  30 

0.00 

0    0 

1.02 

10     0 

0.00 

90 

90.0 

I 

59 

I 

0 

.00 

59 

1. 02 

30 

.00 

59 

1.02 

0 

.00 

89 

89.8 

2 

I  =;o 

1.02 

0 

.02 

I   58 

1.02 

30 

.02 

I   58 

1.02 

0 

.02 

88 

89.7 

3 

2  58 

1.02 

I 

.00 

2  57 

I 

31 

.00 

2  57 

1.02 

I 

.00 

^7 

895 

4 

3  57 

1.02 

I 

.02 

3   57 

1.02 

31 

.02 

3  56 

1.02 

I 

.02 

86 

89-3 

5 

4  56 

I 

2 

0.02 

4  56 

1.02 

32 

0.02 

4  55 

I 

2 

0.02 

85 

89.2 

6 

5  56 

1.02 

3 

.02 

5  55 

1.02 

33 

.02 

5   55 

1.02 

3 

.02 

84 

89.0 

7 

6  55 

1.02 

4 

.02 

6  54 

1.02 

34 

.02 

6  54 

1.02 

4 

•03 

83 

88.8 

8 

7   54 

1.02 

5 

•03 

I  53 

I 

35 

•03 

I  53 

1.02 

6 

.02 

82 

88.7 

9 

8  53 

I 

7 

.02 

8  53 

1.02 

37 

.03 

8  52 

1.02 

7 

.03 

81 

88.5 

10 

9  53 

1.02 

8 

0.03 

9  52 

1.02 

39 

0.03 

9  51 

1.02 

9 

0.03 

80 

'38.3 

II 

10  52 

1.02 

10 

•03 

10  51 

1.02 

41 

..03 

10  50 

1.02 

II 

•03 

79 

88.1 

12 

II   51 

1.02 

12 

•03 

II   50 

1.02 

43 

•03 

II  49 

1.02 

13 

•03 

78 

83.0 

13 

12   50 

1.02 

14 

.03 

12  49 

1.02 

45 

•03 

12  48 

1.02 

15 

.05 

77 

87.8 

14 

13  49 

I 

16 

.05 

13  48 

1.02 

47 

.05 

13  47 

1.02 

18 

.05 

76 

87.6 

15 

14  49 

1.02 

19 

0.03 

14  47 

1.02 

50 

0.05 

14  46 

1.02 

21 

0.05 

75 

87-S 

16 

15  48 

1.02 

21 

.05 

15  46 

I 

53 

•05 

15  45 

1.02 

24 

.05 

74 

87-3 

17 

16  47 

1.02 

24 

.05 

16  46 

1.02 

56 

.05 

16  44 

1.02 

27 

.05 

73 

87.1 

18 

17  46 

1.02 

27 

.05 

17  45 

1. 02 

59 

.05 

17  43 

1.02 

30 

.07 

72 

86.9 

19 

18  45 

I 

30 

.07 

18  44 

1.02 

10     2 

.07 

18  42 

1.02 

34 

.07 

71 

86.7 

20 

19  45 

1.02 

34 

0.07 

19  43 

1.02 

6 

0.07 

19  41 

1.02 

38 

0.0/ 

70 

86.6 

21 

20  44 

1.02 

38 

.07 

20  42 

1.02 

10 

.07 

20  40 

1.02 

42 

.07 

69 

86.4 

22 

21  43 

1.02 

42 

.07 

21  41 

1.02 

14 

.07 

21   39 

1.02 

46 

.08 

68 

86.2 

23 

22  42 

1.02 

46 

.07 

22  40 

1.02 

18 

.08 

22  38 

1.02 

51 

.08 

67 

86.0 

24 

23  41 

1.02 

50 

.08 

23  39 

1.02 

23 

.08 

23  37 

1.02 

56 

.08 

66 

85.8 

25 

24  40 

1.02 

55 

0.08 

24  38 

1.02 

28 

0.08 

24  36 

1.02 

II      I 

0.08 

65 

85.6 

26 

25  39 

1.02 

10    0 

.08 

25  37 

1.02 

33 

.08 

25  35 

1.03 

6 

.10 

64 

S5-4 

27 

26  38 

I 

5 

.08 

26  36 

1.02 

38 

.10 

26  33 

1.02 

12 

.10 

63 

85.2 

28 

27  38 

1.02 

10 

.10 

27  35 

1.02 

44 

.10 

27  32 

1.02 

18 

.10 

62 

85.0 

29 

28  37 

1.02 

16 

.10 

28  34 

1. 02 

50 

.10 

28  31 

1.02 

24 

.12 

61 

84.8 

30 

29  36 

1.02 

22 

O.IO 

29  33 

1.02 

56 

0.12 

29  30 

1.02 

31 

0.12 

60 

84.6 

31 

30  35 

1.02 

28 

.12 

30  32 

1.02 

II     3 

.12 

30  29 

1.03 

38 

.12 

5§ 

84-3 

32 

31    34 

1.02 

35 

.12 

31   31 

1.03 

10 

.12 

31   27 

1. 02 

45 

.12 

58 

84.1 

33 

32  33 

1.02 

42 

.12 

32  29 

1.02 

17 

•13 

32  26 

1.02 

52 

•13 

57 

83-9 

34 

33  32 

1.03 

49 

•13 

33  28 

1.02 

25 

•13 

33  25 

1.02 

12     0 

•'5 

56 

83.6 

35 

34  30 

1.02 

57 

0.13 

34  27 

1.02 

33 

0.13 

34  24 

1.03 

9 

o.is 

55 

834 

36 

3  5  29 

1.02 

II     5- 

•13 

35  26 

1.02 

41 

•15 

35  22 

1.02 

18 

•15 

54 

83.2 

37 

36  28 

1.02 

13 

•15 

36  25 

1.03 

50 

.15 

36  21 

1.03 

27 

•17 

53 

82.9 

38 

37  27 

1.02 

22 

•15 

37  23 

1.02 

59 

•17 

37  19 

1.02 

37 

•17 

52 

82.7 

39 

38  26 

1.02 

31 

•17 

38  22 

1.02 

12     9 

•17 

38  18 

1.03 

47 

.18 

51 

82.4 

40 

39  25 

1.03 

41 

0.17 

39  21 

1.03 

19 

0.18 

39  16 

1.02 

58 

0.18 

50 

82.1 

41 

40  23 

1.02 

51 

.18 

40  19 

1.02 

30 

.18 

40  15 

1.03 

13     9 

.20 

4§ 

81.8 

42 

41   22 

1.02 

12     2 

.18 

41   18 

1.03 

41 

.20 

41   13 

1.02 

21 

.20 

48 

81.5 

43 

42  21 

1.03 

13 

.20 

42  16 

1.02 

53 

.22 

42  12 

1.03 

33 

.22 

47 

81.3 

44 

43   19 

1.02 

25 

.22 

43  15 

1.03 

13     6 

.22 

43   10 

1.03 

46 

.23 

46 

80.9 

45 

44  18 

38 

44  13 

19 

44     8 

14     0 

45 

80.6 

60' 

6 

A 

60' 

h 

A 

60' 

b 

A 

a 

a 

a 

a 

^ 

A 

60' 

A 

60' 

A 

M 

d  = 

9°0' 

d  =  £ 

°  30' 

d  =  i 

0°0' 

6 

•314 

$•976 

5-671 

[Page  215 

\ 

a  =  9°  0' 

a -9°  3b' 

a  =  10"*0' 

V 

\' 

\^ 

60' 

\   ' 

A 

\   d 

60/ 

\   t 

A 

X  d 

6c/ 

\   t 

A 

A 

A 

/i   \. 

A 

z\ 

60' 

A  \ 

A 

z\ 

60' 

A\ 

A 

z\ 

CC/ 

^\ 

A 

o 

0     / 

0       / 

0      / 

0      / 

0      / 

0      / 

^ 

0 , 

45 

44  18 

1.03 

12    38 

0.22 

44  13 

1.02 

13  19 

0.23 

44     8 

1.03 

14    0 

0.25 

45 

80.6 

46 

45   16 

1.02 

51 

.23 

45    12 

1.03 

Z3 

•23 

45     6 

1.03 

15 

.25 

44 

80.3 

47 

46   15 

1.03 

13     5 

•23 

46   10 

1.03 

47 

.25 

46     4 

1.03 

30 

•27 

43 

80.0 

48 

47   13 

1.02 

19 

.25 

47     8 

1.03 

14     2 

•27 

47     2 

1.03 

46 

.28 

42 

79.6 

49 

48   12 

1-03 

34 

.28 

48     6 

1.03 

18 

.28 

48     0 

1.03 

15     3 

.28 

41 

79^3 

SO 

49  10 

1.03 

51 

0.2« 

49     4 

1.03 

35 

0.30 

58 

1.03 

20 

0.32 

40 

78.9 

51 

50     8 

1.03 

14     8 

•  3^ 

50     2 

1.03 

S3 

•32 

49  56 

1-03 

39 

•33 

39 

78.S 

52 

51     6 

1.03 

26 

•32 

51     0 

1.03 

15  12 

•33 

50  54 

1.03 

.  59 

•35 

38 

78.1 

53 

52     4 

1.03 

45 

•33 

5! 

1.03 

32 

•35 

51   52 

1.05 

16  20 

•37 

37 

77.6 

54 

53     2 

1.03 

IS     5 

•35 

52  56 

1.03 

53 

.38 

52  49 

1.03 

42 

.38 

36 

77.2 

55 

54     0 

1.03 

26 

0.3S 

53  54 

1.05 

16  16 

0.40 

53  47 

1.05 

17     5 

0.42 

35 

76.7 

5t) 

5^ 

I.Oj 

49 

•  4c 

54  51 

1.03 

40 

•42 

54  44 

i.os 

35 

•43 

34 

76.2 

57 

55  56 

1.05 

16  n 

.43 

55  49 

1.05 

17     5 

•45 

55  41 

1.05 

„  56 

•47 

33 

75-7 

58 

56  53 

1.03 

39 

•45 

56  46 

1.05 

32 

■47 

56  38 

i.os 

18  24 

•50 

32 

75-2 

59 

57  SI 

1.05 

17     6 

•48 

57  43 

1.05 

18    0 

•50 

57  35 

I.os 

S4 

•53 

31 

74-6 

60 

58  48 

1.05 

35 

0.52 

58  40 

1.05 

30 

0-55 

58  32 

1.07 

19  26 

0.55 

30 

74.0 

61 

59  45 

1.05 

18     6 

•55 

59  37 

1.07 

19     3 

•57 

59  28 

1.07 

59 

.60 

29 

73-4 

6c 

60  42 

1.05 

39 

•58 

60  33 

1.05 

17 

.62 

60  24 

1.07 

20  35 

.65 

28 

72.8 

63 

61   39 

1.05 

19  14 

.63 

61   3c 

1.07 

20  14 

.67 

61    2C 

1.07 

21    14 

.68 

27 

72.1 

64 

62  36 

..07 

S2 

.68 

62  26 

1.07 

54 

.70 

62    16 

1.07 

55 

•73 

26 

7i^3 

65 

63  32 

1.07 

20  33 

0.73 

63  22 

1.07 

21   36 

0.77 

63    12 

i.og 

22  39 

0.7" 

25 

70-5 

66 

64  28 

1.07 

21   17 

.78 

64  18 

1.09 

22  22 

.82 

64     7 

1.09 

-3  26 

.85 

24 

69^8 

&7 

65  24 

1.09 

22     4 

.85 

^'5  13 

1.09 

23   II 

.88 

65     2 

I. II 

24  17 

.92 

23 

68.8 

68 

66  19 

1.09 

55 

•93 

66     8 

I.I  I 

24     4 

•97 

56 

I. II 

25  12 

I.OG 

2  2 

67.8 

69 

67  14 

1.09 

23  51 

I. CO 

67     2 

I. II 

25     2 

1.03 

66  50 

I. II 

26  12 

1.07 

21 

66.7 

70 

68     9 

I. II 

24  51 

i.c8 

56 

I. II 

26     4 

i^i3 

67  44 

I-I3 

27  16 

I. 17 

20 

65.6 

71 

69     3 

I. II 

25  56 

I.2C 

68  5c 

1.13 

27   12 

1.23 

68  37 

1. 15 

28  26 

1.28 

^% 

64.4 

72 

57 

i-'3 

27     8 

1-32 

69  43 

1. 13 

28  26 

'.35 

69  20 

1. 15 

29  43 

1.38 

18 

63.1 

73 

70  50 

1. 15 

28  27 

1-43 

70  36 

i.iS 

29  47 

1.48 

70  21 

r.i8 

31     6 

1.50 

17 

61.6 

74 

71  42 

I. IS 

29  53 

1.58 

71  27 

1. 18 

31    16 

1.62 

71    12 

1.20 

32  36 

1.67 

16 

60. 1 

75 

72.  34 

1.20 

^i   28 

'•75 

72  18 

1.20 

32  53 

1.78 

72     2 

1.22 

34  16 

1.82 

15 

58.4 

76 

73  24 

1.20 

^^^  13 

1.93 

7i     8 

1.22 

34  40 

1.98 

51 

1.21; 

36     5 

2.00 

14 

56.5 

77 

74   14 

1. 21; 

35     9 

2.15 

57 

1.2S 

:^6  39 

2.18 

73  39 

1.28 

^.^     5 

2.22 

13 

54-4 

78 

75      2 

1.28 

37   18 

2.40 

74  44 

i.-^o 

38   50 

2.42 

74  26 

'•33 

40  18 

2.43 

12 

52.2 

7'-^ 

49 

1.30 

39  42 

2.67 

75  30 

1.3^' 

41    15 

2.68 

75    II 

1.40 

42  44 

2.70 

II 

49-7 

80 

76  35 

1.40 

42  22 

2.98 

76  14 

1.40 

43   56 

3.00 

54 

1.46 

45   26 

2.98 

10 

46.9 

i^i 

77   18 

1.46 

45   21 

3-35 

57 

1.54 

46  56 

3-32 

76  35 

1.5S 

48  25 

3-30 

9 

43-8 

82 

59 

1.58 

48  42 

3-72 

77  36 

1.62 

50  15 

3.68 

77   13 

..67 

51   43 

3.63 

8 

tx 

83 

7^  37 

1. 71 

52  25 

78  13 

1.76 

53   56 

4.08 

49 

1.88 

55  21 

3.98 

7 

'vl 

79  12 

1.94 

56  35 

47 

2.00 

58      I 

78  21 

2.07 

59  20 

6 

325 

85 

43 

2.31 

61   II 

79  17 

2.40 

62  29 

50 

2.50 

&3  42 

5 

27.9 

?6 

80     9 

2-73 

66  14 

42 

2.86 

67  22 

79  14 

3.00 

68  25 

4 

23.0 

87 

31 

3-75 

71   43 

80     3 

4.00 

72  38 

34 

4.29 

73  28 

3    : 

17.6 

88 

47 

6. CO 

77  34 

18 

6.67 

78   13 

48 

6.67 

78  48 

2    ' 

11.9 

89 

57 

20.0 

83  43 

27 

20.0 

84     3 

57 

20.0 

84  21 

I 

6.0 

90 

81     0 

90     0 

30 

90     0 

So     0 

90     0 

0 

0.0 

a 

60' 

h 

A^ 

a 

60' 

h 

A 

a 

'^          h 

A_ 

a 

/ 

^  1 

6n' 

A     1 

(0' 

A 

r,c/ 

\    ■ 

f^-9"0'            1           fZ  =  9°30' 

d  =  \0°0' 

Page  216]         5396 


SMS 


4-915 


10 

II 

12 
13 
14 

IS 

16 

17 
18 

19 

20 

21 

22 

23 
24 

25 

26 
27 
28 
29 

30 

31 
32 
33 
34 

35 

36 
37 
38 
39 

40 

41 
42 

43 
44 

45 


a  =  10**  30' 


A 


_A_ 

60' 


0   / 

0   / 

0  0 

1.02 

10  30 

59 

1.02 

30 

I  5« 

1.02 

30 

2  57 

1.02 

31 

3  56 

1.02 

32 

4  55 

1,02 

32 

5  54 

1.02 

33 

0  53 

1.02 

35 

7  52 

1.02 

36 

«  51 

1.02 

38 

9  50 

1.02 

40 

10  49 

1.02 

42 

II  48 

1.02 

44 

12  47 

1.02 

46 

13  46 

1.02 

49 

14  45 

1.02 

52 

15  44 

1.03 

55 

16  42 

1.02 

58 

17  41 

1,02 

II  2 

18  40 

1.02 

6 

19  39 

1.02 

10 

20  38 

1.02 

14 

21  37 

1.02 

18 

22   36 

1.03 

23 

23  34 

1.02 

28 

24  33 

1.02 

33 

25  32 

1.02 

39 

26  31 

1.03 

45 

27  29 

1.02 

51 

28  28 

1.02 

58 

29  27 

1.02 

12  5 

30  26 

1.03 

12 

31  24 

1.02 

20 

32  23 

1.03 

28 

33   21 

1.02 

36 

34  20 

1.03 

45 

35  i« 

1.02 

54 

36  17 

1.03 

13  4 

37  15 

1.02 

14 

3«  14 

1.03 

25 

39  12 

1.03 

36 

40  10 

1.02 

48 

41  9 

1.03 

14  0 

42  7 

1.03 

13 

43   5 

1.03 

27 

44  3 

41 

0.00 
.00 

.02 
.02 
.00 

0.02 

•03 

.02 

•03 
•03 

0.03 

•03 
.03 
.05 
.05 

0.05 
.05 
.07 
.07 
.07 

0.07 
.07 
.08 
.08 
.08 


a  =  ir  0' 


6& 
A 


6c/ 


•'3 

•  13 

•  13 
•IS 

0.15 
.«7 
•17 
.18 
.18 

0.20 
.20 
.22 
•23 
•23 


60' 

A 

b 

A_ 

60' 


d  =  10°  sc 


0 

/ 

0 

0 

1.02 

59 

1.02 

I 

58 

1.02 

2 

57 

1.02 

3 

56 

r.03 

4 

54 

1.02 

5 

53 

1.02 

6 

52 

1.02 

7 

51 

1.02 

8 

SO 

1. 02 

9 

49 

1.02 

10 

48 

1.02 

II 

47 

1,03 

12 

45 

1.02 

13 

44 

1.02 

14 

43 

1.02 

15 

42 

1.02 

16 

41 

1.03 

17 

39 

1.02 

18 

38 

1.02 

19 

37 

1.02 

20 

36 

1.02 

21 

35 

1.03 

22 

33 

1.02 

23 

32 

1.02 

24 

31 

1.03 

25 

29 

1.02 

26 

28 

1.02 

27 

27 

1.03 

28 

25 

1.02 

29 

24 

1.03 

30 

22 

1.02 

31 

21 

1.03 

32 

19 

1.02 

33 

18 

1.03 

34 

16 

1-03 

3  5 

14 

1.02 

36 

13 

1.03 

37 

II 

1.03 

38 

9 

1.03 

39 

7 

1.03 

40 

5 

1.03 

41 

3 

1.03 

42 

I 

1.03 

59 

1.03 

43 

57 

10 

12 

14 
17 
20 

23 
26 
29 

33 
37 

41 
46 

51 
56 

12  I 

6 
12 
18 
25 
32 

39 
47 
55 

13  3 
12 

21 
31 
41 
51 

14  2 

14 

27 
40 
53 

15  7 

22 


60' 
A 

d  =  irO' 


0.00 
.00 

.02 
.02 
.02 

0.02 
.02 
.02 
.03 
.03 

0.03 

.03 

.05 
.05 
.05 

0.05 
.05 
.07 

.07 
.07 

0.08 


.08 
.08 


.12 
.12 


0.13 

•  13 

•  13 

•  15 

•  15 

0.17 

.17 

.'7 
.18 

.20 

0.22 
.22 

.22 

•23 

•25 


a  =  11°  30' 


A 


_A 
60' 


A 
60' 


0   / 

0  0 

1.02 

59 

1.02 

I  58 

1.03 

2  56 

1.02 

3  55 

1.02 

4  54 

1.02 

5  53 

1.02 

6  52 

1.03 

7  50 

1.02 

8  49 

1.02 

9  48 

1.02 

10  47 

1.03 

II  45 

1.02 

12  44 

1.02 

13  43 

1.02 

14  42 

1.03 

15  40 

1.02 

16  39 

1.02 

17  38 

1.03 

18  36 

1.02 

19  35 

1.02 

20  34 

1.03 

21  32 

1.02 

22  31 

1.03 

23  29 

1.02 

24  28 

1.03 

25  26 

1.02 

26  25 

1.03 

27   23 

1.02 

28  22 

1-03 

29  20 

1.02 

30  19 

1.03 

31  17 

1.03 

32  15 

1.02 

33   14 

1.03 

34  12 

1.03 

35  10 

1.03 

36  8 

1.03 

37  6 

1.03 

38  4 

1.03 

39  2 

1.03 

40  0 

1.03 

58 

1.03 

41  56 

1.03 

42  54 

1.03 

43  52 

11  30 
30 
30 
31 
32 

33 
34 
35 
37 
38 

40 
42 

45 
48 

51 

54 
57 

12  I 

5 
9 

13 
18 

23 
28 

33 

39 
45 
52 
59 

13  6 

13 
21 

29 
38 
47 

57 

14  7 
18 

29 
40 

52 

15  5 
19 
33 
48 

16  3 


0,00 
.00 


.02 
.02 


.03 
.02 

•03 

0.03 

.05 
.05 
.05 
.05 

0.05 

.07 
.07 
.07 
.07 

0.08 
.08 


.10 

o.  10 
.12 
.12 
.12 


0.13 
•  13 


0.17 

.18 


60' 
A 

^  =  11"  30' 


A_ 
60' 


8q 
88 

86 

§4 

^3 

82 


80 

79 
78 

77 
76 

75 

74 
73 
72 
71 

70 

69 
68 
67 
66 

65 

63 
62 
61 

60 

59 
58 
57 
56 

55 
54 
53 
52 
51 

50 

48 
46 
45 


90.0 
89.8 
89.6 
89.4 
89.2 

89.0 
88.9 
88.7 
88.5 
88.3 

88.1 
87.9 
87.7 
87-5 
873 

87.1 
86.9 
86.7 
86.5 
86.2 

86.0 
85.8 
85.6 

854 
85.1 

84.9 
84.7 

84-5 
84.2 
84.0 

83-7 
83.5 
83.2 
82.9 
82.7 

82.1 
81.8 
81.S 
81.2 

80.9 
80.6 
80.3 

79-9 
79-6 

79.2 


5-39^ 


5-145 


4-915 


[Page  217 


\ 

a  =  10°  30' 

a  =  iro' 

a  =  11°  30' 

\ 

V 

\ 

d 

60'  \  ^ 

A 

\rf 

60' 

\  t 

A 

\rf 

60' 

\  * 

A 

A 

A 

^ 

\ 

A       Z\ 

60' 

A\ 

A 

z\ 

60' 

A\ 

A 

z\ 

6c/ 

^\ 

o 

0 

/ 

0      / 

0      / 

0      / 

0     / 

p     ' 

p 

0 

45 

44 

3 

1.03 

14  41 

0.25 

43  57 

1.03 

15    22 

0.27 

43   52 

I.os 

16     3 

0.2S 

45 

79.2 

46 

45 

I 

1.03 

56 

.27 

44  55 

1.03 

38 

.28 

44  49 

1-03 

20 

.28 

44 

78.8 

47 

59 

1.03 

15    12 

.28 

45   53 

1.03 

55 

.28 

45  47 

I.os 

37 

.30 

43 

78.4 

48 

46 

57 

1.05 

29 

.30 

46  51 

1.05 

16  12 

.30 

46  44 

1.03 

55 

.32 

42 

78.0 

49 

47 

54 

1.03 

47 

.30 

47  48 

1.03 

30 

.33 

47  42 

I.os 

17  14 

.33 

41 

77-6 

50 

48 

52 

1.03 

16     5 

0.33 

48  46 

I.os 

50 

0.33 

48  39 

I.os 

34 

0.3s 

40 

77.2 

51 

49 

50 

1.05 

25 

•33 

49  43 

1.05 

17  10 

•35 

49  36 

I.os 

0  55 

•37 

39 

76.7 

52 

50 

47 

1.03 

45 

.37 

50  40 

1.05 

31 

•  38 

50  33 

1.05 

18  17 

.40 

38 

76-3 

53 

51 

45 

1.05 

17     7 

.38 

51   Z7 

1.05 

54 

.40 

51   30 

1.05 

^\ 

•42 

37 

75-8 

54 

52 

42 

1.05 

30 

.40 

52  34 

I.os 

18  18 

.42 

52  27 

..07 

19     6 

•43 

36 

75-3 

55 

53 

39 

1.05 

54 

0.43 

53  31 

I.os 

43 

0.45 

53  23 

1.05 

32 

0.47 

35 

74.8 

56 

54 

Z^ 

i.os 

18  20 

•47 

54  28 

1.05 

19  10 

•48 

54  20 

1.07 

20     0 

.48 

34 

74.2 

57 

55 

3^ 

1.05 

48 

.48 

55  25 

1.07 

39 

.50 

55   16 

1.07 

29 

.52 

33 

73-6 

58 

56 

30 

I.os 

19  17 

.50 

56  21 

1.07 

20     9 

.53 

56  12 

1.07 

21     0 

•55 

32 

73-0 

59 

57 

27 

1.07 

47 

•55 

57  17 

1.07 

41 

.5/ 

57     8 

1.07 

33 

.58 

31 

72.4 

60 

58 

23 

1.07 

20  20 

o.<;8 

58  13 

1.07 

21   15 

0.60 

58     4 

1.09 

22     8 

0.63 

30 

71.7 

61 

59 

19 

1.07 

55 

•  63 

59     9 

1.07 

51 

•65 

59 

1.09 

46 

.67 

29 

71.0 

62 

60 

15 

1.07 

21   33 

•65 

60     5 

1.09 

22  30 

.68 

59  54 

1.09 

23  26 

.70 

28 

70-3 

63 

61 

II 

1.09 

22  12 

•72 

61     0 

1.09 

23  II 

•73 

60  49 

1.09 

24     8 

•71 

27 

695 

64 

62 

6 

1.09 

55 

'77 

55 

1.09 

55 

.78 

61  44 

I. II 

54 

.80 

26 

68.6 

65 

63 

I 

1.09 

23  41 

0.82 

62  50 

I. II 

24  42 

0,8  s 

62  38 

I. II 

25  42 

0.87 

25 

^2/1 

66 

56 

I. II 

24  30 

.88 

63  44 

I. II 

25  33 

.90 

63   32 

I. II 

26  34 

.93 

24 

66.8 

67 

64 

50 

I. II 

25  23 

•95 

64  38 

I. II 

26  27 

.98 

64  26 

1. 13 

27  30 

1.00 

23 

65.8 

68 

65 

44 

I. II 

26  20 

1.02 

65   32 

1. 13 

27  26 

I.os 

65   19 

LIS 

28  30 

1.08 

22 

64.7 

69 

66 

38 

1-13 

27  21 

1. 10 

66  25 

LIS 

28  29 

1^13 

66  II 

LIS 

29  35 

1. 17 

21 

63.6 

70 

^7 

31 

1. 15 

28  27 

1.20 

67  17 

1. 15 

29  37 

1.22 

67     3 

1.18 

30  45 

1.25 

20 

62.3 

71 

68 

23 

1. 15 

29  39 

1.30 

68     9 

1. 18 

30  50 

1.33 

.     54 

1. 18 

32     0 

«-37 

19 

61.0 

72 

69 

15 

1. 18 

30  57 

1.42 

69     0 

1.20 

32  10 

1^45 

68  45 

1.22 

33  22 

'•47 

18 

59-6 

11 

70 

6 

1.20 

32  22 

1-5=; 

50 

1.20 

33  37 

i.S8 

69  34 

1.22 

^  50 

1.60 

17 

58.0 

74 

56 

1.20 

33  55 

1.6S 

70  40 

1.25 

35  12 

1.72 

70  23 

1.25 

36  26 

1-73 

16 

56-4 

75 

71 

46 

1.25 

35  36 

1.85 

71   28 

1.25 

36  55 

1.87 

71    II 

1.30 

38  10 

1.90 

15 

54-5 

72 

34 

1.28 

?>7  27 

2.03 

72  16 

1.30 

38  47 

2.05 

57 

1.30 

40     4 

2.07 

14 

52.6 

77 

73 

21 

1-33 

39  29 

2.23 

7Z     2 

1-33 

40  50 

2.23 

72  43 

1.40 

42     8 

2.2s 

13 

50-4 

78 

74 

6 

1.36 

41  43 

2-45 

47 

1.40 

43     4 

2.47 

73  26 

1-43 

44  23 

2.45 

12 

48.1 

79 

50 

1.43 

44  10 

2.70 

74  30 

1.46 

45  32 

2.68 

74     8 

i.So 

46  50 

2.68 

II 

45-5 

80 

75 

32 

1.50 

46  52 

2.97 

75  II 

I.S8 

48  13 

2.95 

48 

i.S8 

49  31 

2.93 

10 

42.7 

Si 

7^ 

12 

..58 

49  50 

3-27 

49 

1.62 

51    10 

3-23 

75  26 

1.71 

52  27 

3.18 

9 

39-7 

82 

50 

1.76 

53     6 

3-57 

76  26 

1.82 

54  24 

3^52 

76     I 

1.82 

55  38 

3^45 

8 

3*5-4 

83 

77 

24 

1-94 

56  40 

3-92 

59 

2.00 

57  55 

3^82 

34 

2.07 

59     5 

3^73 

7 

32.8 

84 

55 

2.14 

60  35 

4.23 

77  29 

2.22 

61  44 

4.12 

77     3 

2.40 

62  49 

4.00 

6 

28.8 

85 

78 

23 

2.61 

64  49 

56 

2.73 

65  SI 

4.42 

28 

2^73 

66  49 

4.27 

5 

24.6 

86 

46 

3.. 6 

69  23 

78  18 

3^33 

70  16 

.  50 

3-53 

71      5 

4-48 

4 

20.1 

87 

79 

5 

4.29 

74  14 

36 

4.62 

74  56 

78     7 

4.62 

^5  34 

3 

15-4 

88 

19 

7.50 

79  20 

49 

7.50 

79  49 

20 

8.57 

80  i6 

2 

10.4 

89 

27 

20.0 

84  37 

57 

20.0 

84  52 

27 

20.0 

85     6 

I 

5-2 

90 

30 

90     0 

79     0 

90     0 

30 

90     0 

0 

0.0 

a 

60' 

h 

_^_ 

a 

6c/ 

h 

A 

a 

^'       6 

A 

a 

t 

A 

60' 

A 

60' 

A 

6c/ 

i  =  10°30' 

^  =  11°  0' 

(i-ll°30' 



Page  218]         4.705 


4-5II 


4332 


\b 

a 

=  12°  0' 

a  =  lJ 

2"  30' 

a  =  13°  0' 

V 

\- 

A 

\ 

\  d    ec/ 

\  * 

A 

\  d 

60' 

\  t 

A 

X  d 

6<y 

\  t 

A 

«\ 

D\ 

7i  \  ~ 

A 

Z\ 

60' 

A\ 

A 

Z\ 

60' 

A\ 

A 

Z\ 

60' 

0 

A 

0 

0     / 

6        / 

0     / 

0     / 

0     / 

0     / 

0 

0 

0    0  I 

02 

12      0 

0.00 

0    0 

1.02 

12  30 

0.00 

0    0 

1.03 

13    0 

0.00 

90 

90.0 

I 

59    ' 

03 

0 

.00 

59 

'•03 

30 

.00 

58 

1.02 

0 

.00 

89 

89.8 

2 

I   57    ' 

02 

0 

.02 

I   57 

1.02 

30 

.02 

I    57 

1.03 

0 

.02 

88 

89.6 

3 

2  56    I 

02 

I 

.02 

2  56 

1.03 

31 

.02 

2  55 

1.02 

I 

.02 

P 

89.4 

4 

3  55    I 

03 

*y 

.02 

3  54 

1.02 

32 

.02 

3  54 

1.03 

2 

.02 

86 

89.1 

5 

4  53    ' 

02 

3 

0.02 

4  53 

1.03 

33 

0.02 

4   52 

1,02 

3 

0.02 

85 

88.9 

6 

5  5-    ' 

02 

4 

.02 

5  51 

1.02 

34 

.02 

5   51 

1.03 

4 

•03 

84 

88.7 

7 

6  51    ' 

03 

5 

.03 

6  50 

1.02 

35 

•03 

6  49 

1.02 

6 

•03 

83 

88.5 

8 

7  40   I 

02 

7 

•03 

7  49 

1.03 

37 

.03 

7  48 

1.03 

8 

.03 

82 

88.3 

9 

8  4^"^    ■ 

02 

9 

•03 

8  47 

1.02 

39 

•03 

8  46 

1.03 

10 

.03 

81 

88.0 

10 

9  47    < 

03 

II 

0.03 

9  46 

1.03 

41 

0.03 

9  44 

1.02 

12 

0.03 

80 

87.8 

II 

10  45    I 

02 

13 

.05 

10  44 

1.02 

43 

.05 

10  43 

1.03 

14 

•OS 

79 

87.6 

12 

II   44    I 

02 

16 

.05 

ir  43 

1.03 

46 

.05 

1 1  41 

1.02 

17 

•OS 

78 

87.4 

13 

12  43    I 

03 

19 

•OS 

12  41 

1.02 

49 

.05 

12  40 

1.03 

20 

•OS 

77 

^7-' 

14 

13  41    ' 

02 

22 

•OS 

13  40 

1.03 

52 

.07 

13  38 

1.03 

23 

•05 

76 

86.9 

15 

14  4C    I 

03 

25 

0.05 

14  38 

1.02 

56 

0.05 

14  36 

1.02 

26 

0.07 

75 

86.7 

16 

15  3^;  T. 

02 

28 

•07 

15  37 

1.03 

59 

•07 

15  35 

1.03 

30 

•07 

74 

86.4 

17 

16  37  I. 

02 

33 

.07 

16  35 

1.02 

13     3 

.07 

16  33 

1.03 

34 

.08 

73 

86.2 

18 

17  36  .. 

03 

36 

.07 

17  34 

1.03 

7 

.08 

17  31 

1.02 

39 

.07 

72 

86.0 

19 

18  34  I. 

02 

40 

.08 

18   32 

1.03 

12 

.08 

18  30 

1.03 

43 

.08 

71 

857 

20 

19  33    '• 

03 

45 

0.08 

19  30 

1.02 

17 

0.08 

19  28 

1.03 

48 

0.08 

70 

85-5 

21 

20  31    I. 

02 

50 

.08 

20  29 

1.03 

22 

.08 

20  26 

1.03 

53 

.10 

69 

85-3 

22 

21   30   I. 

03 

55 

.08 

21   27 

1.03 

27 

.10 

21   24 

1.02 

59 

.10 

68 

85.0 

23 

22  28    I. 

02 

13     0 

.10 

22  25 

1.02 

33 

.10 

22  23 

1.03 

14     5 

.  10 

67 

84.8 

24 

23  27    I. 

03 

6 

.10 

23  24 

1.03 

39 

.10 

23  21 

1.03 

1 1 

.10 

65 

84-5 

25 

24  25    I. 

03 

12 

o.io 

24  22 

1.03 

45 

0.10 

24  19 

1.03 

17 

0.12 

65 

84.2 

26 

25  23    I. 

02 

18 

.12 

25  20 

1.02 

51 

.12 

25   17 

'•03 

24 

.12 

64 

84.0 

27 

26  22    I. 

03 

25 

.12 

26  19 

1.03 

58 

.'3 

26  15 

1.03 

31 

•13 

63 

837 

28 

27  20   I. 

03 

32 

•■3 

27   17 

1.03 

14     6 

•13 

27  13 

1.03 

39 

•'3 

62 

83-4 

29 

28  18    I. 

02 

40 

•>3 

28  15 

1.03 

14 

•13 

28  II 

1.03 

47 

••5 

61 

S3. 2 

30 

29  17    I. 

03 

4^ 

0.13 

29  13 

1.03 

22 

0.13 

29     9 

1.03 

56 

0.15 

60 

82.9 

31 

30  15    I. 

03 

56 

•13 

30  II 

1.03 

30 

•  IS 

30     7 

1.03 

15     5 

•'S 

59 

82.6 

32 

31   13    '• 

03 

14     4 

•IS 

31     9 

1.03 

39 

•15 

31      5 

1.03 

14 

•17 

58 

82.3 

33 

32  II    I. 

02 

13 

•17 

32     7 

1.03 

48 

•'7 

32     3 

1.03 

24 

•17 

57 

82.0 

34 

33  10    '• 

03 

23 

••7 

33     5 

1.03 

58 

.18 

33     I 

1.03 

34 

•17 

56 

81.7 

35 

34     8    . 

03 

33 

0.17 

34     3 

••03 

15     9 

0.18 

59 

1.05 

44 

0.18 

55 

81.4 

36 

35     6    . 

03 

A3 

.18 

35     I 

1.03 

20 

.18 

34  56 

1.03 

55 

.20 

54 

8i.i 

37 

36     4    '• 

03 

54 

.20 

59 

1.03 

31 

.20 

35  54 

1.03 

16     7 

.22 

53 

80.7 

38 

37     2    I. 

03 

15     6 

.20 

36  57 

1.03 

43 

.20 

36  52 

1.05 

20 

.22 

52 

80.4 

39 

38     0    .. 

OS 

18 

.22 

37  55 

1.05 

55 

.22 

37  49 

1.03 

33 

.22 

51 

80.1 

40 

57    '• 

03 

3' 

0.22 

38  52 

1.03 

16     8 

0.23 

38  47 

1.05 

46 

0.23 

50 

79-7 

41 

39  55    '• 

03 

44 

•23 

39  50 

1.05 

22 

•2S 

39  44 

1.05 

17     0 

.25 

4Q 

79-3 

42 

40  53    >• 

03 

.  58 

•23 

40  47 

1.03 

37 

.25 

40  41 

1.03 

15 

.27 

48 

79.0 

43 

41    51    I. 

OS 

16   12 

•27 

41   45 

1.05 

52 

.27 

41   39 

1.05 

31 

.28 

47 

78.6 

44 

42  48    I. 

03 

28 

.27 

42  42 

1.05 

17     8 

.28 

42  36 

1.05 

48 

.28 

46 

78.2 

45 

43  46 

44 

43  39 

25 

43  33 

18     5 

45 

77^8 

a       '- 

0' 

h 

A 

a 

60' 

6 

A 

a 

60' 

b 

A 

a 

/ 

A 

60' 

A 

6c/ 

A 

60' 

d 

=  1 

2°0' 

a 

'  =  1^ 

J°30' 

d  =  i 

ro' 

B 


46 

47 
48 

49 

50 

51 
52 
53 
54 

55 

56 

57 
58 
59 

60 

61 
62 
63 
64 

65 

66 
67 
68 
69 
70 

71 
72 

73 
74 

75 

76 

77 
7S 

79 

80 

81 
82 

83 

84 

85 

86 

87 
88 


90 


4-705 


a  =  12°0' 


60' 


0   / 

0   / 

43  4f^ 

1.05 

16  44 

44  43 

i.os 

17   I 

45  4'"' 

••03 

19 

46  38 

1.05 

37 

47  35 

1.05 

57 

48  3- 

1.05 

18  18 

40  29 

1.05 

40 

50  26 

1.07 

19  3 

51  22 

1.05 

27 

52  19 

1.07 

53 

53  15 

1.07 

20   20 

54  11 

1.07 

49 

55  7 

1.07 

21  19 

56  3 

1.07 

51 

59 

1.09 

22  26 

57  54 

1.09 

23  2 

58  40 

1.09 

41 

59  44 

I. II 

24  22 

60   ^S 

I. II 

25  5 

61  32 

I. II 

52 

62   26 

I. II 

26  42 

(13   20 

1. 13 

27  36 

64  I  T. 

LIS 

28  33 

65   5 

LIS 

29  34 

57 

I.18 

30  40 

66   48 

L18 

31  52 

67  3Q 

1.20 

33  8 

68  20 

1.22 

34  31 

6q  18 

i.2<; 

n6  I 

70  6 

1.28 

37   38 

S3 

1.33 

39  24 

71  38 

1.33 

41  18 

72  23 

1.40 

43  23 

73  6 

1.46 

45  38 

47 

1-54 

48  5 

74  26 

1.67 

50  45 

7S     2 

1.71 

53  39 

37 

I.Q4 

56  47 

76  8 

2.14 

60  10 

36 

2.40 

63  49 

77     I 

2.86 

67   42 

22 

3-7'; 

71  50 

38 

5.00 

76  10 

50 

7.  so 

80  41 

58 

30.0 

85  18 

78  0 

90  0 

0.28 

.30 
.30 

•33 
•35 

0-37 
.38 
.40 
•43 
•45 

0.48 
.50 

•53 
.58 
.60 

0.65 
.68 
•72 
•7? 
•83 

0.90 

•95 
1.02 

l.IO 

1.20 

t.27 
1.3S 
1.50 
1.62 
1.77 

1.90 
2.08 
2.25 
2.45 
2.67 

2.90 
3-13 
3^38 
3^65 
3^88 

4.13 
4.33 

4-52 
4.62 


45" 

a  =  12°  30' 

60' 

A 


_A 
6c/ 


6c/  , 

—  0 

A 


fZ  =  12°0' 


_A^ 

6c/ 


43  39 

44  37 

45  34 

46  31 

47  28 

48  24 

49  21 

50  18 

51  14 

52  10 

53  6 

54  2 

58 

55  53 

56  48 

57  43 

58  38 

59  33 

60  27 

61  21 

62  14 

63  7 
59 

64  51 

65  42 

66  33 

67  2^ 

68  12 

69  o 

48 

70  34 

71  19 

72  2 

44 

73  24 

74  2 
38 

75  12 
42 

76  9 

33 

53 

77  9 
21 
28 

30 


0   / 

'•03 

17  25 

L05 

42 

1.05 

18  0 

1.05 

20 

1.07 

40 

1.05 

19   2 

1.05 

24 

1.07 

48 

1.07 

20  13 

1.07 

40 

1.07 

21   8 

1.07 

38 

1.09 

22   9 

1.09 

42 

1.09 

23  17 

1.09 

55 

1.09 

24  35 

I.II 

25  17 

I. II 

26  2 

'•13 

50 

i^i3 

27  41 

1. 15 

28  36 

1. 15 

29  34 

1.18 

30  37 

L18 

31  45 

1.20 

32  57 

T.22 

34  15 

I. 25 

35  39 

1.25 

37   10 

1.30 

38  49 

'•33 

40  35 

1.40 

42  30 

^•43 

44  35 

1.50 

46  50 

1.58 

49  17 

1.67 

51  56 

1.76 

54  48 

2.00 

57  53 

2.22 

61  12 

2.50 

64  45 

3.00 

68  32 

3^75 

72  32 

5.00 

76  43 

8.57 

81   3 

30.0 

85  30 

90  0 

0.28 
.30 
.33 

•33 
•37 


4332 


a  =  13°0' 


[Page  219 


.40 
.42 
•45 

•47 

0.50 
.52 

•55 
.58 

.63 

0.67 

.70 

•75 
.80 
.85 

0.92 

•97 
1.05 

1.13 
1.20 

1.30 
1.40 
1.52 
1.65 
1.77 

1.92 

2.08 
2.25 
2.4  s 
2.65 

2.87 
3.08 
3^32 
3^55 
3.78 

4.00 
4.18 
4^33 
4-45 
4.50 


43  33 

44  30 

45  27 

46  24 

47  20 


0.37    48   17 

49  13 

50  9 

51  5 

52  I 

57 

53  53 

54  48 

55  43 

56  38 

57  33 

58  27 

59  21 

60  15 

61  8 

62  I 

53 

63  45 

64  3" 


65 


Cib   18 

67  7 
55 

68  43 

69  30 

70  15 
59 

71  42 

72  23 

73  2 

39 

74  14 
46 

75  16 
42 

76  5 

25 
40 

51 
58 

77  f^' 


09 


5^45 
"  57 
30.0 


18  s 

23 
42 

19  2 

23 

45 

20  0 

33 
59 

21  27 


22 

26 

58 

23 

33 

24 

9 

47 

25 

28 

26 

II 

57 

27 

46 

60' 

A 

^=12°  30' 


— 
6c/ 


28  39 

29  35 

30  35 

31  39 

32  47 

34  I 
3  5  20 
36  46 

38  18 

39  57 
41  44 
43  40 
-]5  45 
48  c 
50  26 

53  3 
55  53 
58  55 

62  13 
65    38 

69    19 

73  II 
77  14 
81   24 

85  41 
90     o 


0.30 
•32 

•3? 
•35 
•37 

0.40 
.40 
•43 

•47 
.48 


56    0.50 
•53 


.60 
•63 

0.68 
•72 

•77 
.82 
.88 

0-93 

LOO 
1.07 
LI3 
1.23 

1.32 

^•43 
'•53 
1.65 
1.78 

1.93 

2.08 
2.25 

2-43 
2.62 

2.83 
3^o3 
3-25 
3^47 
3.68 

3^87 
4.05 

4^i7 
4.28 
4.32 


60' 
A 


45 
44 
43 
42 
41 

40 

39 
38 
37 
36 

35 

34 
33 
32 
31 

30 

29 
28 
27 
26 

25 

24 
23 
22 
21 

20 

19 

18 

17 
16 

15 
14 
13 
12 

£1 
10 

9 

I 

5 
4 

3  I 
2 
I 


77-S 

77^4 
76.9 

765 
76.0 

755 
75-0 
74-5 
74.0 

734 

72.8 
72.2 
71.6 
70.9 
70.2 

695 
6-7 
67.9 
67.0 
66.1 

65.1 
64.1 
63.0 
61.8 
60.6 

59^3 

57- <i 
56.3 
54-7 
53-0 

Si^i 
49.0 
46.8 

44-5 
41.9 

39.2 
36.2 
33^o 
29.6 
259 

22.0 

17.9 

13.6 

9.2 

4.6 

0.0 


—       b      A 
\6<y 


^=13°0' 


Page  220] 

A 

•165 

4< 

DII 

3.807 

\ 

a  =  13°  30' 

a  =  14°  0' 

a  =  14°  30' 

V 

V 

\  d 

Gc/ 

i\  t 

A 

\  d 

60' 

\^ 

A 

eo' 

\  t 

_A 

A 

^\ 

h\ 

A 

|Z\ 

60' 

A  \ 

A 

z\ 

6c/ 

A 

z\ 

60' 

^\ 

A 

o 

0     / 

0       / 

0    / 

0      / 

0     / 

0    1 

0 

0 

0 

0    0 

1.03 

13  30 

0.00 

0    0 

1.03 

14    0 

coo 

0    0 

1.03 

14  30 

0.00 

^5 

90.0 

I 

58 

1.02 

30 

.00 

58 

1.03 

0 

.00 

58 

1.03 

30 

.02 

89.8 

2 

I   57 

1.03 

30 

.02 

I  56 

1.02 

0 

.02 

I  56 

1.03 

31 

.00 

88 

89.S 

3 

2  55 

1.03 

31 

.02 

2  55 

1.03 

I 

.02 

2   54 

1.03 

31 

.02 

I'J 

893 

4 

3   53 

1.02 

32 

.02 

3  53 

1.03 

0 

.02 

3  52 

'•03 

32 

.02 

86 

89.0 

5 

4  52 

1.03 

ii 

0.02 

4  51 

1.03 

3 

0.02 

4  50 

1.03 

33 

0.03 

85 

88.8 

o 

5  50 

1.03 

34 

.03 

5  49 

1.03 

4 

.03 

5  48 

1.02 

35 

.02 

■84 

88.5 

7 

6  48 

1.02 

36 

•03 

6  47 

1.02 

6 

.03 

6  47 

1.03 

36 

.03 

83 

88.3 

8 

7  47 

1.03 

38 

.03 

7  46 

1.03 

8 

.03 

7  45 

1.03 

38 

•03 

82 

88.1 

9 

8  45 

1.03 

40 

■03 

8  44 

1.03 

10 

•03 

8  43 

1.03 

40 

.05 

81 

87.8 

10 

9  43 

1.02 

42 

0.05 

9  42 

1.03 

12 

0.05 

9  41 

1.03 

43 

0.05 

80 

87.6 

II 

10  42 

1.03 

45 

.05 

10  40 

'•03 

15 

.05 

10  39 

1.03 

46 

.05 

79 

873 

12 

II  40 

1.03 

48 

.05 

II   38 

1.03 

18 

.05 

II   37 

1,03 

49 

.05 

78 

87.1 

13 

12    38 

1.03 

51 

.05 

12  36 

1.02 

21 

.07 

12  35 

1.03 

52 

.05 

77 

86.8 

14 

13    36 

1.02 

54 

.07 

13  35 

1.03 

25 

.05 

13  33 

1.03 

55 

.07 

76 

86.5 

15 

14  35 

1.03 

58 

0.07 

14  Z2 

1.03 

28 

0.07 

14  31 

1.03 

59 

0.07 

75 

86.3 

i6 

15  33 

1.03 

14     2 

.07 

IS  31 

1.03 

32 

.08 

15  29 

1.03 

15     3 

.08 

74 

86.0 

17 

16  31 

1.03 

6 

.07 

16  29 

1.03 

37 

.07 

16  27 

1.05 

.08 

73 

85.8 

i8 

17  29 

1.03 

10 

.08 

17  27 

1.03 

41 

.08 

17  24 

1.03 

13 

.08 

72 

85-5 

19 

18  27 

1.03 

15 

.08 

18  25 

1.03 

46 

.10 

18  22 

1.03 

18 

.08 

71 

85.2 

20 

19  25 

1.02 

20 

0.08 

19  23 

1.03 

52 

0.08 

19  20 

1-03 

23 

0. 10 

70 

85.0 

21 

20  24 

1.03 

25 

.10 

20  21 

1.03 

57 

.10 

20  18 

1.03 

29 

.10 

69 

84.7 

22 

21  22 

1.03 

31 

.10 

21   19 

1.03 

15     3 

.10 

21   16 

1.03 

35 

.12 

68 

84.4 

23 

22  20 

1.03 

27 

.10 

22  17 

1.03 

9 

.12 

22  14 

1.05 

42 

.10 

67 

84.1 

24 

23  18 

1.03 

43 

.12 

23  15 

1.03 

16 

.12 

23  II 

1.03 

48 

.12 

66 

83-9 

25 

24  16 

1.03 

50 

0.12 

24  13 

1.05 

23 

0.12 

24     9 

1-03 

55 

o->3 

65 

83.6 

26 

25   14 

1.03 

57 

•13 

25   10 

T.03 

30 

.13 

25     7 

1.05 

16     3 

.13 

64  i 

83.3 

27 

26  12 

1.03 

15     5 

•13 

26     8 

1.03 

38 

•13 

26     4 

1.03 

II 

.13 

63 

83.0 

28 

27  10 

1-03 

13 

•13 

27     6 

1.03 

46 

•15 

27     2 

1.03 

19 

.15 

62 

82.7 

29 

28     8 

1.05 

21 

•15 

28     4 

1.05 

55 

•15 

28     0 

1.05 

28 

.'5 

61 

82.4 

30 

29     5 

1.03 

30 

0.15 

29     I 

1.03 

16    4 

0.15 

57 

1.03 

37 

0.17 

60 

82.0 

31 

30     3 

1.03 

39 

•15 

59 

1.03 

13 

.17 

29  55 

1.05 

47 

•17 

5§ 

81.7 

32 

31      I 

1.03 

48 

•17 

30  57 

1.05 

23 

•'7 

30  52 

1.05 

57 

.18 

58 

81.4 

33 

59 

1.05 

58 

.18 

31   54 

1.03 

33 

.18 

31  49 

1.03 

17     8 

.18 

57 

81. 1 

34 

32  56 

1.03 

16     9 

.18 

32   52 

1.05 

44 

.20 

32  47 

1.05 

19 

.20 

56 

80.7 

3| 

33  54 

1.05 

20 

0.20 

33  49 

1.05 

56 

0.20 

33  44 

1.05 

31 

0.22 

55 

80.4 

36 

34  51 

1.03 

32 

.20 

34  46 

1.03 

17     8 

.20 

34  41 

1.05 

44 

.22 

54 

80.0 

3^ 

35  49 

1.05 

44 

.22 

35  44 

1.05 

20 

.22 

35   38 

1.05 

57 

.22 

53 

79-7 

38 

36  46 

1.03 

57 

.22 

36  41 

i.os 

33 

•23 

36  35 

1.05 

18  10 

•  23 

52 

79-3 

39 

37  44 

1.05 

17  10 

•23 

37  38 

1.05 

47 

•25 

37  32 

1.05 

24 

•25 

51 

78.9 

40 

38  41 

1.05 

24 

0.25 

38  35 

1.05 

18     2 

0.25 

38  29 

I.OS 

39 

0.27 

SO 

78.5 

41 

39  38 

1.05 

39 

.25 

39  32 

1.05 

17 

•27 

39  26 

1.05 

55 

.27 

^l 

78.1 

42 

40  35 

1.05 

54 

•27 

40  29 

1.05 

33 

.28 

40  23 

1.07 

19  II 

.28 

48 

77-7 

43 

41    32 

1.05 

18  10 

.28 

41   26 

1.05 

50 

.28 

41   19 

1.05 

28 

.30 

^Z 

77-3 

44 

42  29 

1.05 

27 

.30 

42  23 

1.07 

19     7 

.30 

42  16 

1.07 

46 

•32 

46 

76.9 

45 

43  26 

45 

43   19 

25 

43  12 

20     5 

45 

76.4 

a 

60' 

h 

A 

a 

6& 

b 

A 

a 

60' 

& 

A 

a 

t 

A 

ec 

A 

6(y 

A 

60' 

d=n 

r  30' 

d  =  U 

l°0' 

c 

Z=14°30' 

4i6S 


4. 01 1 


3.867 


[Page  221 


K* 

a  =  13°  30' 

a  =  14^  0' 

a  =  14°  30' 

\ 

V 

\ 

Kd 

60' 

\   < 

A 

\ 

d\  60' 

\     t 

A 

\   d 

60' 

\     t 

A 

A 

A:*\ 

A 

z\ 

6c/ 

h 

\ 

A 

z\ 

'  0' 

h\ 

A 

z\ 

60' 

^\ 

^\ 

0 

45 

0     / 

43  26 

1.05 

0       / 

18  45 

0.32 

0 

43 

19 

1.05 

0     / 

19  25 

0.33 

0      / 

43   12 

1.07 

0       / 

20     5 

0-33 

0 
45 

7(?.4 

4b 

44  23 

1.05 

19     4 

.33 

44 

16 

1.07 

45 

•33 

44     8 

1.07 

25 

•35 

44 

75^9 

47 

45  20 

1.07 

24 

•33 

45 

12 

1.07 

20     5 

•35 

45     4 

1.07 

46 

•37 

43 

75-5 

48 

46  16 

1.05 

44 

•37 

46 

8 

1.07 

26 

•37 

46     0 

1.07 

21     8 

.38 

42 

7S0 

49 

47  13 

1.07 

20     6 

•38 

47 

4 

t.07 

48 

.40 

56 

1.07 

31 

.40 

41 

74-4 

50 

48    9 

1.07 

29 

0.40 

48 

0 

1.07 

21    12 

0.42 

47  52 

1.07 

55 

0.42 

40 

73^9 

51- 

49     5 

1.07 

53 

.42 

56 

1.07 

37 

•43 

48  48 

1.09 

22  20 

•45 

3i 

73^4 

52 

50     I 

1.07 

21   18 

.45 

49 

52 

1.07 

22     3 

•45 

49  43 

I.oq 

47 

•47 

38 

72.8 

53 

57 

1.07 

45 

•47 

50 

48 

1.09 

30 

.48 

50  38 

1.09 

23   15 

.50 

37 

72.2 

54 

51   53 

1.09 

22  13 

.50 

51 

43 

1.09 

59 

•52 

51   33 

1.09 

45 

.52 

36 

71.6 

55 

52  48 

1.09 

43 

0.52 

52 

38 

1.09 

23  30 

0.53 

52  28 

1.09 

24  16 

^•55 

35 

70.9 

56 

53  43 

1.09 

^l  14 

•55 

53 

33 

1.09 

24     2 

•57 

53  23 

I. II 

49 

.58 

34 

70.3 

57 

54  38 

1.09 

47 

.58 

54 

28 

I. II 

36 

.60 

54  17 

I. II 

25  24 

.62 

33 

69.6 

58 

55  32> 

1.09 

24  22 

•63 

55 

22 

I. II 

25   12 

.63 

55  II 

I. II 

26     I 

.65 

32 

68.8 

59 

^6  28 

1. 11 

25     0 

.65 

56 

16 

I. II 

50 

.67 

56     5 

I. II 

40 

.68 

31 

68.1 

60 

57  22 

MI 

.  39 

0.70 

57 

10 

I.I  I 

26  30 

0.72 

59 

1. 13 

27  21 

0-73 

30 

673 

61 

58   16 

1-13 

26  21 

•73 

58 

4 

'•'3 

27  13 

•77 

57   52 

1. 13 

28     5 

■77 

29 

66.4 

62 

59     9 

••'3 

27     5 

.78 

57 

1. 13 

59 

.80 

58  45 

1. 15 

51 

.82 

28 

655 

^3 

60     2 

1. 13 

0  52 

•83 

59 

50 

1. 15 

28  47 

.85 

59  37 

1. 15 

29  40 

.87 

27 

64.6 

64 

55 

I-I3 

28  42 

.90 

60 

42 

I. IS 

29  38 

.90 

60  29 

1. 18 

30  32 

•93 

26 

63.6 

65 

61  48 

1. 15 

29  36 

0.95 

61 

34 

1. 18 

30  32 

0.98 

61   20 

1. 18 

31  28 

0.98 

25 

62.6 

60 

62  40 

1. 18 

30  13 

1.02 

62 

25 

i.i8 

31   31 

1.03 

62  1 1 

1.20 

32  27 

1.05 

24 

61.5 

67 

63  31 

1,18 

31   34 

1.08 

^J> 

16 

1. 18 

32  33 

1. 10 

63     I 

1.20 

33  30 

1.12 

23 

60.3 

68 

64  22 

1.20 

32  39 

1. 17 

64 

7 

1.22 

33  39 

1. 18 

51 

1.22 

34  37 

1.20 

22 

59^1 

69 

65   12 

1.20 

33  49 

1.25 

56 

1.22 

34  50 

1.25 

64  40 

1.25 

35  49 

1.28 

21 

57.8 

70 

66     2 

1.25 

35     4 

'•33 

65 

45 

1.25 

36     5 

1-37 

65  28 

1.25 

37     6 

'•37 

20 

56^4 

71 

50 

1.25 

16  24 

'•45 

66 

33 

1.28 

37  27 

'•45 

66  16 

1.30 

38  28 

1.47 

^§ 

54-9 

72 

67  3^ 

1.28 

37  51 

1-55 

67 

20 

1.28 

38  54 

1-55 

67     2 

1.30 

39  56 

'•57 

18 

53-3 

73 

68  25 

1.30 

39  24 

1.65 

68 

7 

'•33 

40  27 

1.68 

48 

..36 

41   30 

1.68 

17 

5i^6 

74 

69  II 

1.36 

41     3 

1.80 

52 

..36 

42     8 

1.80 

68  32 

1.40 

43  II 

1.80 

16 

49.8 

75 

55 

1.36 

42  51 

'•93 

69  36| 

••43 

43  56 

'•93 

69  15 

'•43 

44  59 

1.93 

15 

47^9 

76 

70  39 

1-43 

44  47 

2.08 

70 

18 

1.46 

45   52 

2.08 

57 

1.50 

46  55 

2.07 

14 

45-9 

^2 

71   21 

1.50 

46  52 

2.23 

5§ 

'•54 

47  57 

2.23 

70  37 

'•54 

48  59 

2.22 

13 

43-7 

78 

72     I 

1.58 

49     6 

2.42 

71 

38 

1.58 

50  II 

2.40 

71   16 

..67 

51    12 

^•38 

12 

413 

79 

39 

1.67 

51    31 

2.60 

72 

16 

1. 71 

52  35 

2.57 

52 

1.71 

53  35 

^•53 

II 

38.8 

80 

73  15 

1.76 

54     7 

2.80 

51 

1.82 

55     9 

^•75 

72  27 

1.88 

56     7 

2.72 

10 

36.1 

81 

49 

1.88 

56  55 

2.98 

73 

24 

1.94 

57  54 

2.93 

59 

2.00 

58  50 

2.88 

9 

33-2 

82 

74  21 

2.14 

59  54 

3.18 

55 

2.14 

60  50 

3.12 

73  29 

2.22 

61  43 

3^o5 

8 

30^2 

83 

49 

2.31 

63     5 

3^38 

74 

23 

2.40 

63  57 

3^3° 

56 

2.50 

64  46 

3.22 

7 

26.9 

84 

75  15 

2.73 

66  28 

3^58 

48 

2.86 

67  15 

3.48 

74  20 

2.86 

67  59 

3.38 

6 

235 

85 

H 

3.16 

70     3 

3-75 

75 

9 

3^33 

70  44 

3.63 

41 

3-53 

71   22 

3^53 

5 

19.9 

86 

r  5^ 

4.00 

73  48 

3-90 

27 

4.29 

74  22 

3^78 

58 

4.29 

74  54 

3^67 

4 

16. 1 

87 

•j6  1 1 

6.00 

77  42 

4-03 

41 

5-45 

78     9 

3.88 

75   12 

6.00 

78  34 

3^75 

3 

12.2 

88 

21 

8.57 

81  44 

4.12 

52 

lO.O 

82     2 

3^97 

22 

1 0.0 

82  19 

3.82 

2 

8.2 

89 

28 

30.0 

85  51 

4-15 

58 

30.0 

86     0 

4.00 

28 

30.0 

86     8 

3^87 

I 

4.1 

90 

30 

90     0 

7^ 

0 

90     0 

30 

90     0 

0 

0.0 

a 

60' 

h 

A 

a 

60' 

6 

A 

a 

6c/ 

b 

_A 

a 

t 

A 

60' 

A 

fo' 

A 

60' 

i  =  13°30' 

rf  =  14.»0' 

d  =  i4>°20' 

Page  222] 

3 

•732 

3< 

5o6 

3487 

\ 

a  =  15°0' 

a  =  15   30 

a  =  16°  0' 

\    ^ 

c\ 

\  * 

\    dj  6c/ 

\  <    A 

\  d 

60'  1  "X    t 

_A_ 

\d 

60' 

\  t 

A 

\ 

A 

A\^i    A 

2  \^  60' 

h\ 

A       Z  \ 

60' 

*    \ 

A 

Z\ 

<o' 

/3\ 

o 

0       / 

0    / 

0    / 

0      / 

0    / 

0    / 

0 

0 

0 

0      0 

1.03 

15    0 

0.00 

0    0 

1.03 

15   30 

0.00 

0    0 

1.03 

16    0 

0.00 

90 

90.0 

I 

58 

1.03 

0 

.02 

58 

1.03 

30 

.02 

58 

1.05 

0 

.02 

89 

89.7 

2 

I    56 

1.03 

I 

.00 

I  56 

1.05 

31 

.00 

I   55 

1.03 

I 

.00 

88 

89-5 

3 

2     54 

1.03 

I 

.02 

2  53 

1.03 

31 

.02 

2  53 

1.03 

I 

.02 

^7 

89.2 

4 

3  52 

1.03 

2 

.02 

3  51 

1.03 

32 

.02 

3  SI 

1.05 

2 

.02 

86 

88.9 

5 

4  50 

1.03 

3 

0.03 

4  49 

1.03 

22 

0.03 

4  48 

1.03 

3 

0.03 

?5 

88.7 

6 

5  48 

1.03 

5 

•03 

5  47 

1.03 

35 

•03 

5  46 

1.03 

5 

.03 

f4 

88.4 

7 

6  46 

1.03 

7 

.03 

6  45 

1.05 

27 

.03 

6  44 

1.05 

7 

.03 

P 

88.1 

8 

7  44 

1.05 

9 

•03 

7  42 

1.03 

29 

•03 

7  41 

1.03 

9 

.03 

82 

87.8 

9 

8  41 

1.03 

II 

.03 

8  40 

1.03 

41 

.05 

8  39 

1.03 

II 

.05 

81 

87.6 

10 

9  39 

1.03 

13 

0.05 

9  38 

1.03 

44 

0.0s 

9  27 

I.os 

14 

0.0s 

80 

87.3 

1 1 

10  Z7 

1.03 

16 

.05 

10  36 

1.05 

47 

.OS 

10  34 

1.03 

17 

.05 

7§ 

87.0 

12 

II   35 

1.03 

19 

•05 

II   i3 

1.03 

50 

.05 

II   32 

1.05 

20 

.07 

78 

86.7 

13 

12  33 

1.03 

22 

.07 

12  31 

1.03 

53 

.07 

12  29 

1.03 

24 

.07 

77 

86.5 

14 

13  31 

1.03 

26 

.07 

13  29 

1.03 

57 

.07 

13  27 

I.os 

28 

.07 

76 

86.2 

15 

14  29 

1.05 

30 

0.08 

14  27 

1.05 

16     I 

0.07 

14  24 

1.03 

32 

0.08 

75 

IH 

16 

I  5  26 

1.03 

35 

.07 

15  24 

1.03 

5 

.08 

15  22 

I.os 

27 

.08 

74 

85.6 

17 

16  24 

1.03 

39 

.oS 

16  22 

1.03 

10 

,08 

16  19 

1.03 

42 

.08 

73 

85.3 

18 

17  22 

1.03 

44 

.08 

17  20 

1.05 

15 

.10 

17  17 

1.05 

47 

.08 

72 

85.0 

19 

18  20 

1.05 

49 

.10 

18  17 

1.03 

21 

.10 

18  14 

1.03 

52 

.10 

71 

84.7 

20 

19  17 

1.03 

55 

0. 10 

19  15 

I.os 

27 

0.10 

19  12 

1.05 

58 

0. 10 

70 

84.4 

21 

20  15 

r.03 

16    I 

.10 

20  12 

1.03 

22 

.  IC 

20     9 

1.05 

17     4 

.12 

69 

84.1 

22 

21    13 

■1.05 

7 

.12 

21    10 

I.os 

39 

.12 

21     6 

1.03 

II 

.12 

68 

83.8 

23 

22  10 

1.03 

14 

.12 

22     7 

1.03 

46 

.12 

22     4 

1.05 

18 

.13 

67 

83.5 

24 

23     8 

1.03 

21 

.12 

23     5' 

I.os 

53 

.13 

23      I 

I.os 

26 

•13 

66 

83.2 

25 

24     6 

1.05 

28 

0.13 

24     2 

I.os 

17     I 

0.13 

58 

I.os 

34 

0.13 

65 

82.9 

JO 

25     3 

1.03 

36 

•13 

59 

1.03 

9 

.13 

24  55 

1.05 

42 

■'3 

^ 

82.6 

27 

26     I 

i.os 

44 

•15 

25  57 

I.os 

17 

•15 

25  52 

1.03 

50 

•15 

P 

82.2 

28 

58 

1.05 

53 

•'5 

26  54 

I.OS 

26 

•15 

26  50 

I.os 

59 

•17 

62 

81.9 

29 

27  55 

1.03 

17    2 

•17 

27  51 

I.os 

35 

•17 

27  47 

I.os 

18     9 

•17 

61 

81.6 

30 

28  53 

1.05 

12 

0.17 

28  48 

I.os 

45 

0.18 

28  44 

I.os 

19 

0.18 

60 

81.2 

31 

29  50 

1.05 

22 

•17 

29  45 

I.os 

56 

.18 

29  41 

1.07 

30 

.18 

^% 

80.9 

32 

30  47 

1.05 

32 

.18 

30  42 

1.05 

18     7 

.iS 

30  27 

I.os 

41 

.20 

58 

80.5 

33 

31   44 

1.03 

43 

.20 

31   39 

I.os 

18 

.20 

31   34 

I.os 

53 

.20 

^l 

80.2 

34 

32  42 

1.05 

55 

.20 

32  36 

I.os 

30 

.20 

32  31 

I.os 

19     5 

.22 

56 

79.8 

35 

33  39 

1.05 

18    7 

0.22 

32,  iZ 

I.os 

42 

0.22 

22  28 

1.07 

18 

0.22 

55 

79-4 

^0 

34   36 

1.05 

20 

.22 

34  30 

I.os 

55 

•23 

34  24 

I.os 

31 

•23 

54 

7R-9 

37 

35  Zl 

1.07 

33 

.23 

35  27 

1.07 

19     9 

•23 

35  21 

1.07 

45 

•25 

53 

78.6 

3« 

\6  29 

1.05 

47 

•23 

36  23 

I.os 

23 

.25 

36  17 

1.07 

20     0 

•25 

52 

78.2 

39 

i7  26 

1.05 

19    I 

•27 

17  20 

1.07 

38 

•27 

27  13 

I.os 

15 

•27 

51 

77.8 

40 

38  23 

1.07 

17 

0.27 

38   16 

1.05 

54 

0.28 

38  10 

1.07 

^o 

0.28 

50 

77-4 

41 

39  19 

1.05 

Zi 

.28 

39  13 

1.07 

20  II 

.28 

39     6 

1.07 

48 

•30 

49 

76.9 

42 

40  16 

1.07 

50 

.28 

40     9 

1.07 

28 

•30 

40     2 

1.07 

21        6 

•32 

48 

76.5 

43 

41    12 

1.05 

20   7 

.32 

41      5 

1.07 

46 

•32 

58 

1.07 

25 

.32 

47 

76.0 

44 

42     9 

1.07 

26 

•32 

42     I 

1.07 

21     5 

•33 

41    54 

1.09 

AA 

•33 

46 

75-5 

45 

43      5 

45 

57 

25 

42  49 

22     4 

45 

75-0 

a 

Go' 

I 

^_ 

a 

'-11'     h 

_A^ 

a 

60' 

h 

A 

a 

t. 

A 

Co' 

A 

60' 

A 

6c/ 

d=^\ 

5°0'                      6 

'  =  15°  30' 

d  =  \ 

6°0' 

3-73-'J 


3.606 


3487 


[Page  223 


a  =  15°  0' 


45 
46 

47 
48 

49 

50 

51 
52 
53 
54 

55 

56 
57 
58 
59 

60 

61 
62 

63 
64 

65 

66 

67 
68 

69 
70 

71 

72 
73 
74 

75 

76 

77 
78 
79 

80 

81 
82 

83 
84 

85 

80 

87 
88 
89 

90 


0   / 

0   / 

43   5 

1.07 

20  4=; 

44  I 

1.07 

21  6 

57 

1.07 

27 

45  53 

1.09 

49 

46  48 

1.07 

22  13 

47  44 

1. 00 

38 

48  39 

I.  CO 

23  4 

49  34 

1.09 

31 

50  29 

1.09 

24  0 

51  24 

I. II 

30 

52  18 

I. II 

25   2 

53  12 

I. II 

36 

54  6 

1. 11 

26   12 

55  0 

'•13 

49 

53 

1. 13 

27  29 

56  46 

i-'3 

28  II 

57  39 

1. 15 

56 

58  31 

1. 15 

29  43 

59  23 

I- 15 

30  33 

60  15 

1. 18 

31  26 

61  6 

1.20 

32  23 

56 

1.20 

33   23 

62  46 

1.22 

34  27 

63  35 

1.25 

35  35 

64  23 

1.25 

36   47 

65  II 

1.28 

38  4 

58 

1.30 

39  27 

66  44 

1-33 

40  56 

67   29 

1.40 

42  30 

68  12 

1.40 

44  II 

55 

1.46 

45  59 

69  36 

1-54 

47  55 

70  15 

1.5H 

49  59 

53 

1.71 

52  12 

71  28 

1.76 

54  33 

72  2 

1.88 

57  3 

34 

2.07 

59  43 

73     3 

2.31 

62  33 

2Q 

2.61 

65  32 

52 

3.00 

68  41 

74  12 

3-53 

71  59 

29 

4.29 

75  25 

43 

6.67 

78  57 

52 

lO.O 

82  35 

58 

30.0 

86  16 

75  0 

90  0 

1^1    h 

i  ^  I 

^  =  15°  0' 


^•35 

■  38 
.40 
.42 

0.43 

•45 
.48 
.50 

•53 

0.57 
.60 
.62 
.67 

.70 

0.75 
.78 

.83 

.88 

.95 


,07 

.13 
.20 
.28 

.38 
48 
■57 
,68 
,80 

'•93 

2.07 
2.22 

2.35 
2.50 

2.67 
2.83 
2.98 
3^i5 
3-3° 

3-43 
3-53 
3-63 
3.68 

3-73 


A 
60' 


a  =  15"  30' 


a  =  16*  0' 


60' 

A 


60'    »    \      A 


0   / 

0   / 

42  57 

1.07 

21  2; 

43  53 

1.07 

46 

44  49 

1.09 

22   8 

45  44 

1.09 

31 

46  39 

1.09 

55 

47  34 

1.09 

23  20 

48  29 

1.09 

47 

49  24 

1.09 

24  15 

50  19 

I. II 

44 

51  13 

I.I  I 

25  15 

52  7 

I.I  I 

48 

53  I 

I.I  I 

26  23 

55 

1. 13 

59 

54  48 

1. 13 

27  37 

55  41 

1. 13 

28  18 

56  34 

1-15 

29  I 

57  26 

1. 15 

46 

q8  18 

1. 15 

30  34 

59  10 

1. 18 

31  25 

60  I 

1.20 

32  19 

51 

1.20 

33  16 

61  41 

1.22 

34  17 

62  30 

1.22 

35  22 

63   19 

1.25 

36   31 

64  7 

1.28 

37   44 

54 

1.30 

39  2 

65  40 

'•33 

40  25 

66  25 

1.36 

41  54 

67  9 

1.40 

43  29 

52 

1^43 

45  II 

68  34 

I. SO 

46  59 

69  14 

1.58 

48  54 

52 

1.62 

50  57 

70  29 

1. 71 

53  8 

71  4 

1.82 

55  28 

37 

1.94 

57  57 

72     8 

2.14 

60  34 

36 

2.31 

63  21 

73     2 

2-73 

66  17 

24 

3.00 

69  21 

44 

3-75 

72  33 

74  0 

4.62 

75   53 

13 

6.67 

79  19 

22 

lO.O 

82  50 

28 

30.0 

86   24 

30 

90  0 

^    b 

A 

^  =  15°  30' 


0.35 
•37 

.38 
.40 
.42 

0.45 
.47 
.48 

•52 

•55 

0.58 

.60 

.63 
.68 

•72 

0.7c, 
.80 
.85 
.90 
•95 

.02 
.08 

•'5 
.22 
.30 

.78 
.4« 
•58 
.70 
.80 

1.92 

2.05 
2.18 

2-33 
2.48 

2.62 

2.78 
2.93 

3-07 
3.20 

3^33 
3-43 
3-52 
3-57 
3.60 


60' 


A_ 
60' 


0   / 

0   / 

42  49 

1.07 

22   4 

43  45 

1.09 

26 

44  40 

1.09 

48 

45  35 

1.09 

23  12 

46  30 

1.09 

37 

47  25 

1.09 

24  3 

48  20 

i.og 

30 

49  15 

I. II 

59 

50  9 

I.I  I 

25  29 

51  3 

I. II 

26  0 

57 

1. 13 

34 

52  50 

'•'3 

27  9 

53  43 

i^'3 

46 

54  36 

1. 13 

28  25 

55  29 

1. 15 

29  6 

56  21 

1. 15 

50 

57  13 

1. 18 

30  36 

58  4 

1. 18 

31  25 

55 

1. 18 

32  17 

59  46 

1.20 

33   II 

60  36 

1.22 

34  9 

61  25 

1.22 

35  II 

62  14 

1.2"; 

36  17 

63  2 

1.28 

37   26 

49 

1.28 

38  40 

64  36 

1^33 

39  58 

65  21 

••33 

41  22 

66  6 

1.40 

42  52 

49 

'•43 

44  27 

67   31 

1.46 

46  8 

68  12 

'•5° 

47  56 

52 

..58 

49  51 

69  30 

1.67 

51  53 

70  6 

1.76 

54  3 

40 

1.88 

56  21 

71  12 

2.00 

58  48 

42 

2.22 

61  23 

72  9 

2.40 

64  7 

34 

2.73 

66  59 

56 

3.16 

69  59 

73   15 

3-75 

73  6 

31 

4.62 

76  20 

44 

6.67 

79  39 

53 

12.0 

83  4 

58 

30.0 

86  31 

74  0 

90  0 

^     b 

A 


0-37 
.37 
.40 

•42 

•43 

0.45 
.48 

.50 
•52 
•57 

0.58 
.62 
.6^ 
.68 

•73 

0.77 
.82 
.87 
.90 
•97 

•°3 
.10 

•15 

•23 
•30 

.40 

■5^ 
.';8 
.68 
.80 

1.92 

2.03 

2-'; 
2.30 

2-45 


2.8; 
3.0c 

3- '2 

3-2- 
3-32 
3-42 
3-45 
3^48 


_A_ 
60' 


45 

44 
43 
42 

41 
40 

39 
38 
37 
36 

35 
34 
33 
32 
31 

30 

29 
28 
27 
26 

25 

24 
23 
22 
21 

20 

19 

18 

17 
16 

15 
14 
13 
12 
II 

10 

9 

8 

7 
6 

5 
4 
3 
2 
I 


7S0 
74^5 
74.0 

73^5 
72.9 

723 
71.7 
71.1 

70.5 
69.8 

69.1 
68.4 
67.6 
66.8 
66.0 

65.2 
64-3 
633 
62.3 
61.3 

60.2 
59^0 
57.8 
56^5 
552 

53-7 
52.2 
50.6 
48.8 
47.0 

4SI 
43^0 
40.8 

38.5 
36.0 

33-4 
30.7 
27.7 
24.7 

21^5 

18. 1 

14.7 

II. I 

74 

3-7 

0.0 


Page  224]         3.376 


3-271 


3.172 


^ 

a  =  16°  30' 

a=\r^' 

a  =  17°  30' 

V 

\  ^ 

\d 

60' 

\  < 

A 

\d 

60' 

\  t 

_A 

\   d   60^ 

\.     t 

A 

\ 

A 

A  \ 

A 

^    \ 

60' 

^   \ 

A 

z\ 

60' 

^      N.        A 

z  \ 

60' 

A 

^\ 

0 

0     / 

0      / 

0       / 

0     / 

0      / 

0      / 

0 

0 

0    0 

1.03 

16  30 

0.00 

0    0 

r.05 

17    0 

0.00 

0    0 

I.os 

17  30 

0.00 

% 

90.0 

I 

58 

1.05 

30 

.02 

57 

1.03 

0 

.02 

57 

I.os 

30 

.02 

89.7 

2 

I   55 

1.03 

31 

.00 

I   55 

1.05 

I 

.00 

I   54 

1.03 

31 

.00 

88 

89.4 

3 

2  53 

1.05 

31 

.02 

2  52 

1.05 

I 

.02 

2  52 

I.os 

31 

.02 

87 

89.1 

4 

3  50 

••03 

32 

.03 

3  49 

1.03 

2 

•03 

3  49 

I.os 

32 

•03 

86 

88.8 

5 

4  48 

1.05 

34 

0.02 

4  47 

r.os 

4 

0.02 

4  46 

I.os 

34 

0.02 

85 

88.5 

6 

5  45 

1.03 

35 

•03 

5  44 

1.03 

5 

•03 

5  43 

I.os 

35 

.03 

84 

88.2 

7 

6  4^ 

1.05 

17 

•03 

6  42 

I.os 

7 

•03 

6  40 

1.03 

17 

•05 

83 

87.9 

8 

7  40 

1.03 

39 

.05 

I  ^9 

I.os 

9 

.OS 

7  Z^ 

I.os 

40 

•03 

82 

87.6 

9 

8  38 

1.05 

42 

.05 

8  36 

1.03 

12 

•05 

8  35 

I.os 

42 

.05 

81 

87-3 

10 

9  35 

1.03 

45 

0.05 

9  34 

I.os 

15 

o.os 

9  32 

I.os 

45 

0.05 

80 

87.0 

II 

10  33 

1.05 

48 

.05 

10  31 

1.05 

18 

.05 

10  29 

1.05 

48 

.07 

79 

86.7 

12 

II   30 

1.05 

51 

•07 

II   28 

I.os 

21 

.07 

II   26 

I.os 

52 

.07 

78 

86.4 

13 

12  27 

1.03 

55 

.07 

12  25 

1.03 

25 

.07 

12  23 

I.os 

56 

.07 

77 

86.1 

14 

13  25 

1.05 

59 

.07 

13  23 

I.os 

29 

.08 

13  20 

I.os 

18     0 

.08 

76 

85.8 

15 

14  22 

1.05 

17     3 

0.08 

14  20 

I.os 

34 

0.08 

14  17 

1.05 

5 

0.08 

75 

855 

16 

15   19 

1.03 

8 

.08 

IS   17 

1.05 

39 

.08 

15   14 

I.os 

10 

.08 

74 

85.2 

17 

16  17 

i.os 

13 

.08 

16  14 

1.05 

44 

.08 

16  II 

I.os 

15 

.10 

73 

84.9 

18 

17   14 

1.05 

18 

.10 

17  II 

1.05 

49 

.10 

17     8 

I.os 

21 

.10 

72 

84.6 

19 

18   1 1 

1.03 

24 

.10 

18     8 

1.05 

55 

.10 

18     5 

I.os 

27 

.10 

71 

843 

20 

19     9 

1.05 

30 

0. 10 

19     5 

I.os 

18     I 

0.12 

19     2 

I.os 

33 

0.12 

70 

839 

21 

20     6 

1.05 

36 

.12 

20     2 

1.05 

8 

.12 

59 

I.os 

40 

.12 

69 

83.6 

22 

21     3 

1.05 

43 

.12 

59 

1.05 

15 

.12 

20  56 

I.os 

47 

.12 

68 

83.3 

23 

22     0 

1.05 

<;o 

.13 

21   56 

I.os 

22 

•13 

21   53 

1.07 

54 

.13 

67 

82.9 

24 

57 

1.05 

58 

•13 

22  53 

I.os 

30 

•13 

22  49 

I.os 

19     2 

•15 

66 

82.6 

25 

23  54 

1.05 

18     6 

0.13 

^l  50 

I.os 

38 

0.15 

23  46 

I.os 

II 

o.is 

65 

82.2 

26 

24  51 

1.05 

14 

•15 

24  47 

I.os 

47 

.15 

24  43 

1.07 

20 

•IS 

64 

81.9 

27 

25  48 

1.05 

23 

.17 

25  44 

I.os 

56 

•17 

25  39 

I.os 

29 

•17 

63 

81.S 

28 

26  45 

1.05 

IZ 

•17 

26  41 

1.07 

19     6 

•17 

26  36 

1.07 

39 

•17 

62 

81.2 

29 

27  42 

I.os 

43 

.17 

27  17 

I.os 

16 

.18 

27  32 

I.os 

49 

.18 

61 

80.8 

30 

28  39 

1.05 

53 

0.18 

28  34 

1.07 

27 

0.18 

28  29 

1.07 

20     0 

0.20 

60 

80.4 

31 

29  36 

1.07 

19     4 

.18 

29  30 

I.os 

38 

.20 

29  25 

1.07 

12 

.20 

59 

80.0 

32 

30  32 

1.05 

15 

.20 

30  27 

1.07 

50 

.20 

30  21 

I.os 

24 

.20 

58 

79.6 

33 

31   29 

1.07 

27 

.22 

31   23 

I.os 

20     2 

.22 

31   18 

1.07 

36 

.22 

57 

79.2 

34 

32  25 

1.05 

40 

.22 

32  20 

1.07 

15 

.22 

32  14 

1.07 

49 

•23 

56 

78.8 

35 

!,!>  22 

1.07 

53 

0.23 

33  16 

1.07 

28 

0.23 

33  10 

1.07 

21     3 

0.2s 

55 

78.4 

36 

34  18 

1.05 

20     7 

.23 

34  12 

1.07 

42 

.25 

34     6 

1.07 

18 

.25 

54 

78.0 

},7 

35   15 

1.07 

21 

•25 

n   ^ 

1.07 

57 

.25 

35     2 

1.07 

ll> 

.27 

53 

77-6 

38 

36  II 

1.07 

36 

.27 

36     4 

1.07 

21    12 

•27 

58 

1.09 

49 

.27 

52 

77.1 

39 

1,7     7 

1.07 

52 

.28 

37     0 

1.07 

28 

.28 

Z^  53 

1.07 

22     5 

.28 

51 

76.7 

40 

38     3 

1.07 

21     9 

0.28 

56 

1.07 

45 

0.30 

Z7  49 

1.09 

22 

0.30 

50 

76.2 

41 

59 

1.07 

26 

•30 

38  52 

1.09 

22     3 

.32 

38  44 

1.09 

40 

•32 

49 

75-7 

42 

39  55 

1.09 

44 

•32 

39  47 

1.09 

22 

•32 

39  39 

1.09 

59 

•33 

48 

75-2 

43 

40  50 

1.07 

22      3 

•33 

40  42 

1.07 

41 

•3'; 

40  34 

1.09 

23   19 

•35 

47 

74.7 

44 

41  46 

1.09 

23 

•35 

41   38 

1.09 

23     2 

•35 

41   29 

1.09 

40 

•37 

46 

74.2 

45 

42  41 

44 

42  33 

23 

42  24 

24     2 

45 

73.7 

a 

60' 

I 

A 

a 

60' 

6 

A 

a 

60' 

& 

A 

a 

^ 

A 

60' 

A 

60' 

A 

60' 

d  =  \i 

)°30' 

d  =  V 

7°0' 

d  =  Vi 

^°30' 

3-378 

3^27i 

3.172 

1 

Page  225 

\h 

a  =  16"  3(X 

a  =  17°  0' 

a  =  17°  30' 

\  ^ 

V 

d 

60' 

\  *       ^ 

\ 

d 

60' 

\   ' 

A 

\ 

d 

.60' 

\  t 

A 

\ 

b\ 

A 

\ 

A 

Z  \  60' 

A 

\ 

A 

z\ 

60' 

A 

\ 

A 

z\ 

6c/ 

c\ 

0 

0 

/ 

0       / 

0 

/ 

0        / 

0 

f 

0      / 

0 

0 

45 

42 

41 

1.09 

22   44 

0-37 

42 

33 

1.09 

23   23 

0.37 

42 

24 

1.09 

24       2 

0.38 

45 

73^7 

46 

43 

36 

1.09 

23     6 

.38 

43 

28 

1.09 

45 

.40 

43 

19 

1.09 

25 

.40 

44 

73-2 

47 

44 

31 

1.09 

29 

.40 

44 

23 

1.09 

24     9 

.40 

44 

14 

I. II 

49 

.42 

43 

72.6 

48 

45 

26 

1.09 

53 

.42 

45 

18 

I.I  I 

33 

•43 

45 

8 

I.I  I 

25    14 

•43 

42 

72.0 

49 

46 

21 

1.09 

24  18 

.43 

46 

12 

I. II 

59 

•45 

46 

2 

I.I  I 

40 

•47 

41 

71.4 

SO 

47 

16 

I. II 

44 

0.47 

47 

6 

I. II 

25  26 

0.48 

56 

I. II 

26     8 

0.48 

40 

70.8 

SI 

48 

10 

I. II 

25    12 

.50 

48 

0 

I. II 

.  55 

•5° 

47 

50 

I. II 

37 

•50 

32 

70.1 

52 

49 

4 

1. 1 1 

42 

.50 

54 

I. II 

26  2; 

•52 

48 

44 

I-I3 

27     7 

•53 

38 

695 

53 

58 

I. II 

26    12 

•55 

49 

48 

1. 13 

56 

•55 

49 

37 

1. 13 

0   39 

•57 

37 

68.8 

54 

50 

52 

I. II 

45 

•57 

50 

41 

1.13 

27  29 

.58 

50 

30 

1. 13 

28   13 

.58 

36 

68.1 

55 

51 

46 

1. 13 

27  19 

0.60 

51 

34 

1. 13 

28     4 

0.60 

51 

23 

1. 15 

48 

0.62 

35 

^^1 

56 

S2 

39 

1. 13 

55 

.62 

52 

27 

1. 13 

40 

.63 

52 

15 

1. 15 

29  25 

.65 

34 

66.6 

57 

5? 

32 

1. 15 

28  32 

.67 

53 

20 

1. 15 

29  18 

.68 

53 

7 

1. 15 

30     4 

.68 

33 

65.8 

58 

54 

24 

1. 15 

29  12 

.70 

54 

12 

1. 15 

59 

•72 

59 

1. 18 

45 

•72 

32 

64.9 

59 

55 

16 

1. 15 

54 

•75 

55 

4 

1. 18 

30  42 

•75 

54 

50 

1. 18 

31   28 

•77 

31 

64.1 

60 

56 

8 

I. IS 

30  39 

0.78 

55 

1. 18 

31   27 

0.78 

55 

41 

1. 18 

32   14 

0.80 

30 

63.1 

61 

57 

0 

1. 18 

31   26 

.82 

56  46 

1.20 

32  14 

.83 

56 

32 

1.20 

33     2 

.85 

29 

62.2 

62 

51 

1.20 

32  15 

.87 

57 

36 

1.20 

33     4 

.88 

57 

22 

I.2Z 

53 

.90 

28 

61.2 

63 

58 

41 

1.20 

33     7 

•93 

58 

26 

1.20 

57 

•93 

58 

II 

1.22 

34  47 

•95 

^l 

60.2 

64 

59 

31 

1.22 

34     3 

.98 

59 

16 

1.22 

34  53 

1. 00 

59 

0 

1.25 

35  44 

1. 00 

26 

59.1 

65 

60 

20 

1.22 

35     2 

1.03 

60 

5 

1.25 

35   53 

1.05 

48 

1.25 

36  44 

1.05 

25 

57-9 

66 

61 

9 

1.25 

36     4 

1. 10 

53 

1.25 

36  56 

1. 12 

60 

36 

1.28 

37  47 

1. 12 

24 

56-7 

67 

57 

1.25 

37  10 

1. 17 

61 

41 

1.28 

38     3 

1. 17 

61 

23 

1.28 

38  54 

1. 18 

23 

55-4 

68 

62 

45 

1.28 

38  20 

1.25 

62 

28 

1.30 

39  13 

1.25 

62 

10 

'•33 

40     5 

1.25 

22 

54^1 

69 

63 

32 

'•33 

39  35 

1-32 

&3 

14 

1^33 

40  28 

'•33 

55 

1.33 

41   20 

'•33 

21 

52.7 

70 

64 

17 

'•33 

40  54 

1.40 

59 

1.36 

41  48 

1.40 

63 

40 

1.40 

42  40 

1.42 

20 

51-2 

71 

65 

2 

1.36 

42  18 

1.48 

64 

43 

1.40 

43   12 

1.50 

64 

23 

1.40 

44     5 

1.50 

19 

49-7 

72 

46 

1.40 

43  47 

1.58 

65 

26 

1-43 

44  42 

1.58 

65 

6 

1.46 

45   35 

1.58 

18 

48.0 

73 

66 

29 

1.46 

45  22 

1.68 

66 

8 

1.46 

46  17 

1.68 

47 

I. SO 

47   10 

..67 

'Z 

46.3 

74 

(>7 

10 

1.50 

47     3 

1.80 

49 

1.50 

47   58 

1.78 

66 

27 

^•54 

48  50 

1.78 

16 

44.4 

75 

50 

'•54 

48   51 

1.92 

^7 

29 

i.SS 

49  45 

1.90 

67 

6 

1.62 

50  37 

1.88 

15 

425 

76 

68 

29 

1.62 

50  46 

2.02 

68 

7 

1.67 

51   39 

2.00 

43 

..67 

52  30 

2.00 

14 

40.5 

77 

69 

6 

1.67 

52  47 

2.15 

43 

1.71 

53  39 

2.13 

68 

19 

1.76 

54  30 

2.10 

13 

38.3 

78 

42 

1.82 

54  56 

2.28 

69 

18 

1.88 

55  47 

2.25 

53 

1.88 

56  36 

2.22 

12 

36.0 

79 

70 

15 

1.88 

57   13 

2.40 

50 

'•94 

58     2 

2.37 

69 

25 

2.00 

58  49 

2.35 

II 

33-6 

80 

47 

2.07 

59  37 

2.55 

70 

21 

2.07 

60  24 

2.50 

55 

2.14 

61    10 

2.45 

10 

3I-I 

81 

-I 

16 

2.22 

62  10 

2.67 

50 

2.31 

62  54 

2.62 

70 

23 

2.31 

63  37 

2.57 

9 

28.4 

82 

43 

2.50 

64  50 

2.80 

71 

16 

2.61 

65  31 

2-75 

49 

2.61 

66  II 

2.68 

8 

25.7 

83 

"2 

7 

2.86 

67  38 

2.93 

39 

2.86 

68   16 

2.85 

71 

12 

3.00 

68  52 

2.80 

7 

22.8 

84 

28 

3.16 

70  34 

Z'OZ 

72 

0 

3-33 

71     7 

2.97 

32 

3^53 

71   40 

2.88 

6 

19.8 

85 

47 

4.00 

73  36 

3^15 

18 

4.00 

74     5 

3^07 

49 

4.00 

74  33 

2.98 

5 

16.7 

86 

73 

2 

vOO 

76  45 

3^23 

33 

5.00 

77     9 

3.«3 

72 

4 

5-45 

77  32 

3-05 

4 

135 

87 

14 

6.67 

79  59 

3-30 

45 

7.50 

80  17 

3.20 

15 

7.50 

80  35 

3.10 

3 

10.2 

88 

23 

12.0 

83  17 

3-35 

53 

12.0 

83  29 

3^25 

23 

12.0 

83  41 

3^i5 

2 

6.8 

89 

28 

30.0 

86  38 

3-37 

58 

30.0 

86  44 

3-27 

28 

30.0 

86  50 

3.17 

I 

3-4 

90 

30 

90     0 

72 

0 

90     0 

30 

90     0 

0 

0.0 

a 

60' 

6 

A 

a 

60' 

6 

A 

a 

60' 

6 

A 

a 

t 

A 

60' 

A 

60' 

A 

6& 

^  =  16*30' 

d^\T(y 

rf  =  17°30' 

55901°— IS- 


-15 


Page  226] 

3.078 

2.989 

2.904 

V 

a  =  18°0' 

Q 

=  18°  30' 

a  =  19°  0' 

!( 

\  * 

A 

60' 

A 

z\ 

60' 

60' 

A 

\  i 
2\ 

A 
60' 

60' 

A 

JZ  \^^  60' 

^\ 

^, 

0      / 

0     / 

0     / 

0     / 

0     / 

0    / 

„ 

0 

d 

0     0 

1.05 

18    0 

0.00 

0    0 

1.05 

18  30 

0.00 

0    0 

I.os 

19    0 

0.00 

f. 

90.0 

I 

57 

1.05 

0 

.02 

57 

1.05 

30 

.C2 

57 

1.05 

0 

.02 

89.7 

2 

I    54 

1.05 

I 

.00 

I   54 

1.05 

31 

.02 

I   54 

1.07 

I 

.02 

88 

89.4 

3 

2  51 

1.05 

I 

.02 

2  51 

1.05 

32 

.02 

2  50 

I.os 

2 

.02 

f7 

89.0 

4 

3  48 

I. OS 

2 

•03 

3  48 

1.05 

33 

.02 

3  47 

1.05 

3 

.02 

86 

88.7 

5 

4  45 

1.05 

4 

0.03 

4  45 

1.07 

34 

0.03 

4  44 

1.07 

A 

0.03 

85 

88.4 

6 

5  42 

1.05 

6 

•03 

5  41 

1.05 

36 

•03 

5  40 

1.05 

6 

.03 

84 

88.1 

7 

6  39 

1.05 

8 

.03 

6  38 

1.05 

38 

•03 

6  37 

I.os 

8 

•03 

^3 

87.8 

8 

7  36 

1.05 

10 

•05 

7  35 

1.05 

40 

•05 

■  7  34 

1.07 

10 

.OS 

82 

87.4 

9 

8  33 

1.05 

13 

.05 

8  32 

i.os 

43 

.05 

8   30 

I.os 

13 

.OS 

81 

87.1 

10 

9  30 

1.05 

16 

0.05 

9  29 

1.05 

46 

0.05 

9  27 

I.os 

16 

0.07 

80 

86.8 

1 1 

10  27 

1.05 

19 

.07 

10  26 

1.07 

49 

.07 

10  24 

1.07 

20 

.07 

79 

86.5 

12 

1 1   24 

1.05 

23 

.07 

II   22 

1.05 

53 

.07 

II   20 

I.os 

24 

.07 

78 

86.1 

13 

12  21 

1.05 

27 

.07 

12  19 

1.05 

57 

.07 

12   17 

1.07 

28 

.07 

77 

85.8 

14 

13  18 

1.05 

31 

.08 

13   16 

1.07 

19     I 

.08 

13   13 

I.os 

32 

.08 

76 

85-5 

IS 

14  15 

1.05 

36 

o.oS 

14  12 

I.os 

6 

o.oS 

14  10 

1.07 

37 

0.08 

75 

85.1 

10 

15   12 

1.05 

41 

.08 

15     9 

I.os 

II 

.10 

15     6 

I.os 

42 

.10 

74 

84.8 

17 

16      Q 

1.05 

46 

.10 

16     6 

1.07 

17 

.10 

16     3 

1.07 

48 

.10 

73 

84-5 

i8 

17     6 

1.07 

52 

.  10 

17     2 

I.OS 

23 

•  lO 

59 

I.os 

54 

.12 

72 

84.1 

19 

18     2 

1.05 

58 

.10 

59 

I.os 

29 

.12 

17  56 

1.07 

20     I 

.12 

71 

83.S 

20 

59 

1.05 

19     4 

0.12 

18  56 

1.07 

36 

0.12 

18  52 

1.07 

8 

0.12 

70 

83^4 

21 

19  56 

1.07 

1 1 

•  •3 

19   52 

1.05 

43 

•13 

19  48 

1.05 

15 

.12 

69 

83.1 

22 

20  52 

1.05 

19 

•  13 

20  49 

1.07 

51 

•13 

20  45 

1.07 

22 

•13 

68 

82.7 

23 

21  49 

1.07 

27 

.'3 

21  45 

1.07 

59 

.13 

21   41 

1.07 

30 

•IS 

67 

82.3 

24 

22  45 

1.05 

35 

.13 

22  41 

1.05 

20     7 

.15 

22  37 

1.07 

39 

.15 

66 

82.0 

25 

^3  42 

1.07 

43 

0.15 

23  38 

1.07 

16 

o.is 

23  33 

1.07 

48 

0.17 

65 

81.6 

20 

24  38 

1.05 

52 

••7 

24  34 

1.07 

25 

.17 

24  29 

1.07 

5^^ 

•  17 

^ 

81.2 

27 

25  35 

1.07 

20     2 

•  17 

25   30 

1.07 

35 

.'7 

25  25 

1.07 

21      8 

•  17 

63 

80.8 

28 

26  31 

1.07 

12 

.iS 

26  26 

1.07 

45 

.18 

26  21 

1.07 

18 

.18 

62 

80.4 

29 

27  27 

1.05 

23 

.iS 

27  22 

1.07 

50 

.18 

27  17 

1.07 

29 

.20 

61 

80.0 

30 

28  24 

1.07 

34 

0.20 

28   18 

1.07 

21     7 

0.20 

28  13 

1.07 

41 

0.20 

60 

79.6 

31 

29  20 

1.07 

46 

.20 

29  14 

1.07 

19 

.22 

29    9 

1.09 

53 

.22 

59 

79.2 

32 

30  16 

1.07 

58 

.22 

30  10 

1.07 

32 

.22 

30     4 

1.07 

22     6 

.22 

58 

78.8 

33 

31   12 

1.07 

21   II 

.22 

31     6 

1.07 

45 

•23 

31     0 

1.09 

19 

.23 

57 

78.4 

34 

32     8 

1.07 

24 

•23 

32     2 

1.09 

59 

•  23 

55 

1.07 

33 

•25 

56 

77-9 

35 

33     4 

1.09 

38 

0.25 

57 

1.07 

22  i'^ 

0.25 

32  51 

1.09 

48 

0.25 

55 

77-5 

3& 

59 

1.07 

53 

.25 

33  53 

1.09 

28 

•27 

33  46 

1.09 

23     3 

.27 

54 

77.0 

37 

34  55 

1.09 

22     8 

.27 

34  48 

1.09 

44 

.28 

34  41 

1.09 

19 

.28 

53 

"6.6 

38 

35   50 

1.07 

24 

.28 

35  43 

1.09 

23      I 

.28 

35  36 

1.09 

36 

•30 

52 

76.1 

39 

36  46 

1.09 

41 

•30 

36  38 

1.09 

18 

.30 

36  31 

1.09 

54 

•30 

51 

75- <5 

40 

37  41 

1.09 

59 

0.32 

37  33 

1.09 

36 

0.32 

37  26 

I. II 

24  12 

0.33 

50 

'^H 

41 

38  36 

1.09 

23  18 

•32 

38  28 

1.09 

55 

•32 

38  20 

1.09 

3^ 

•33 

'^2 

74.6 

42 

39  31 

1.09 

37 

•33 

39  23 

1.09 

24  14 

•35 

39  15 

I. II 

52 

•35 

48 

74.1 

43 

40  26 

1.09 

57 

•35 

40  18 

I. II 

35 

.37 

40     9 

I. II 

25   13 

•37 

47 

73-5 

44 

41   21 

1.09 

24  18 

.38 

41   12 

1.09 

57 

•37 

41     3 

I. II 

35 

.38 

46 

730 

45 

42  16 

41 

42     7 

25  19 

57 

58 

45 

72.4 

a 

60' 

b 

_A 

a 

60' 

h 

A 

a 

fio' 

b 

A 

a 

/ 

A 

60' 

A 

! 

60' 

A 

60' 

d  =  i 

8°0' 

f/  =  18"S0' 

d  =  19°  0' 

3.078 


2.989 


2.904 


[Page  227 


\ 

a  =  18°0' 

a  =  18°  30' 

a  =  19°  0' 

\' 

\  * 

\ 

d 

60' 

\  ^ 

A 

d 

60' 

\  f 

A 

d 

60' 

\  i 

A 

\ 

A 

h 

\ 

A 

z\ 

6^' 

h 

\ 

A 

z\ 

60' 

U 

\ 

A 

Z\ 

60' 

A 

^\ 

0 

0 

/ 

0       / 

0 

/ 

0      / 

0 

1 

0     / 

P 

0 

45 

42 

16 

I. II 

24  41 

0.38 

42 

7 

I. II 

25  19 

0.40 

41 

57 

I. II 

25  58 

0.40 

45 

72.4 

46 

43 

10 

I. II 

25      4 

.40 

43 

I 

I.I  I 

43 

.42 

42 

51 

I. II 

26  22 

.42 

44 

71.8 

47 

44 

4 

I. II 

28 

•43 

55 

I. II 

26     8 

•43 

43 

45 

I. II 

47 

•45 

43 

71.2 

48 

58 

I. II 

54 

•45 

44 

49 

1. 13 

34 

•45 

44 

39 

'•13 

27  14 

•47 

42 

70.6 

49 

45 

52 

I. II 

26  21 

•47 

45 

42 

1.13 

27     I 

.48 

45 

32 

1. 13 

42 

.48 

41 

69.9 

50 

46  46 

i-'3 

49 

0.48 

46  35 

1.13 

0  30 

0.50 

46 

25 

1.13 

28  II 

0.50 

40 

69-3 

51 

47 

39 

1-13 

27   18 

.52 

47 

28 

JI.I3 

28     0 

.52 

47 

18 

1. 15 

41 

•S3 

39 

68.6 

52 

48 

32 

i-'S 

.  49 

•55 

48 

21 

I.I3 

31 

.55 

48 

10 

1. 15 

29  13 

•57 

38 

67.9 

53 

49 

25 

I-I3 

28  22 

•57 

49 

14 

I. IS 

29     4 

.58 

49 

2 

1.15 

47 

.58 

37 

67.2 

54 

50 

18 

1.15 

56 

,60 

50 

6 

1.15 

39 

.60 

54 

LIS 

30  22 

.62 

36 

66.4 

55 

51 

10 

1.15 

29  32 

0.63 

58 

1. 15 

30  15 

0.65 

50 

46 

1.18 

59 

0,63 

35 

65.6 

56 

52 

2 

1. 15 

30  10 

.65 

51 

50 

1,18 

54 

.67 

51 

37 

1. 18 

31   37 

.68 

34 

64.8 

57 

54 

1. 15 

49 

.70 

52 

41 

1. 18 

31    34 

.70 

52 

28 

1.20 

32  18 

•72 

33 

64.0 

58 

53 

46 

1. 18 

31   31 

•73 

53 

32 

1. 18 

32   16 

•75 

53 

18 

1.20 

33     I 

•75 

32 

63-1 

59 

54 

37 

1.20 

z^  15 

•77 

54 

23 

1.20 

11     I 

•77 

54 

8 

1.20 

46 

.78 

31 

62.2 

60 

55 

27 

1.20 

3Z     I 

0.82 

55 

13 

1.22 

47 

0.83 

58 

1.22 

34  33 

0.83 

30 

61.2 

61 

56 

17 

1.20 

50 

.85 

56 

2 

1.22 

34  17 

.87 

55 

47 

1.22 

35  23 

.88 

29 

60.2 

62 

57 

7 

1.22 

34  41 

.90 

51 

1.22 

,>5  29 

.90 

56  36 

1.25 

36  16 

.92 

28 

59-2 

^J 

56 

1.25 

35  35 

•97 

57 

40 

1.2^ 

1>^  23 

•97 

57 

24 

1.28 

37  11 

.97 

27 

58.1 

64 

^8 

44 

1.25 

36  3Z 

1. 00 

58 

28 

1.28 

7  7  21 

1.02 

58 

1 1 

1.28 

38     9 

1.02 

26 

57^0 

65 

59 

32 

r.28 

17  11 

1.07 

59 

15 

1.28 

38  22 

1.07 

58 

1.30 

39  10 

1,08 

25 

55-8 

66 

60 

19 

1.28 

38  17 

'•IS 

60 

2 

1.30 

39  26 

1. 13 

59 

44 

1-30 

40  15 

i^i3 

24 

54^5 

67 

61 

6 

1.30 

39  45 

1. 18 

48 

'•33 

40  34 

1.20 

60 

30 

'•33 

41   23 

1.20 

23 

53-2 

68 

52 

1-33 

40  56 

1.27 

61 

33 

1-33 

41  46 

1.27 

61 

15 

1.40 

42  35 

1.27 

22 

51^9 

69 

62 

37 

1.36 

42   12 

1.33 

62 

18 

1.40 

43     2 

1-33 

58 

1.40 

43  51 

1.33 

21 

50^4 

70 

63 

21 

1.40 

43  32 

1.40 

63 

I 

1-43 

44  22 

1.42 

62 

41 

1-43 

45   II 

1.42 

20 

48.9 

71 

64 

4 

1.46 

44  56 

1.50 

43 

1^43 

45  47 

1.50 

63 

23 

1.46 

46  36 

1.50 

19 

47-3 

72 

45 

1.46 

46  26 

1.58 

64 

25 

1.50 

47   17 

1.57 

64 

4 

'•54 

48     6 

'•57 

18 

45-7 

73 

6^ 

26 

1.50 

48     I 

1.68 

65 

5 

'•54 

48  51 

1.67 

43 

1-58 

49  40 

1.65 

17 

43-9 

74 

66 

6 

..58 

49  42 

1.77 

44 

1.62 

50  31 

1.77 

65 

21 

1.62 

51    19 

1-75 

16 

42.1 

75 

44 

1.67 

51   28 

1.87 

66 

21 

1.67 

52  17 

1.85 

58 

1.71 

53     4 

1.85 

15 

40.2 

76 

67 

20 

1. 71 

53  20 

1.97 

57 

1.76 

54     8 

'•95 

66 

33 

1.76 

54  55 

1-93 

14 

38.2 

77 

55 

1.76 

55   18 

2.08 

(^7 

31 

1.82 

56     5 

2.05 

67 

7 

1.88 

56  51 

2.03 

13 

36.0 

78 

68 

29 

1.94 

57  23 

2.20 

68 

4 

1.94 

58     8 

2.17 

39 

2.00 

58  53 

2.12 

12 

338 

79 

69 

0 

2.07 

59  35 

2.30 

35 

2.14 

60  18 

2.27 

68 

9 

2.14 

61     0 

2.23 

II 

31-5 

80 

29 

2.22 

61   53 

2.42 

69 

3 

2.22 

62  34 

2.38 

17 

2.31 

63   14 

2.33 

TO 

29.1 

81 

56 

2.40 

64  18 

2.52 

30 

2.50 

64  57 

2.47 

69 

3 

2.50 

65   34 

2.43 

9 

26.5 

82 

70 

21 

2.61 

66  49 

2.62 

54 

2-73 

67  25 

2.57 

27 

2.86 

6Z     0 

2.52 

8 

23.9 

83 

44 

3.16 

69  26 

2-73 

70 

16 

3.16 

69  59 

2.67 

48 

3.16 

70  31 

2.60 

7 

21.2 

84 

71 

3 

3-S3 

72  10 

2.82 

35 

3^53 

72  39 

2.75 

70 

7 

3^75 

73     7 

2.68 

6 

18.3 

85 

20 

4.00 

74  59 

2.90 

52 

4.62 

75  24 

2.82 

23 

4.62 

75  48 

2.75 

5 

15-4 

80 

35 

5-45 

77  53 

2.97 

71 

5 

5^45 

78  13 

2.90 

36 

6.00 

78  33 

2.82 

4 

12.4 

87 

46 

7.50 

80  51 

3.02 

16 

7.50 

81     7 

2.93 

46 

7.50 

81   22 

2.85 

3 

9.4 

88 

54 

15.0 

83  52 

3^o5 

24 

15.0 

84     3 

2.q7 

54 

15.0 

84  13 

2.88 

2 

6.3 

89 

58 

30.0 

86  55 

3.08 

28 

30.0 

87     I 

2. 98 

58 

30.0 

87     6 

2.90 

I 

3-1 

90 

/  - 

0 

90     0 

30 

90     0 

71 

0 

90     0 

0 

0.0 

a 

60' 

I 

A 

a 

60' 

I 

A 

a 

60' 

& 

A 

a 

t 

A 

60' 

A 

60' 

A 

60' 

cZ  =  18°0' 

cz=i8°3(r 

d  =  i9°0' 

Page  228]         2.824 


2.748 


2.67s 


10 

1 1 
12 
13 
14 

IS 

16 

17 
18 

19 

20 

21 
22 

23 
24 

25 

26 
27 
28 
29 

30 

31 

32 
33 
34 

36 

37 
38 
39 

40 

41 
42 

43 

44 

45 


a  =  19*'  30' 

(O' 

A 


6(/ 


o 
57 
53 
50 
46 


4  43 

5  39 

6  36 

7  32 

8  29 

9  25 

10  22 

11  18 

12  15 

13  II 

14  7 

15  4 

16  o 
56 

17  52 

18  48 

19  45 

20  41 

21  37 

22  33 

23  29 

24  25 

25  20 

26  16 

27  12 

28  7 

29  3 
58 

30  54 

31  49 

32  44 

33  39 

34  34 

35  29 

36  23 

37  18 

38  12 

39  6 

40  o 
54 

41  48 


0    / 

1.05 

19  30 

0. 

1.07 

30 

1.05 

31 

1.07 

32 

1.05 

33 

1.07 

34 

0, 

1.05 

30 

1.07 

38 

1.05 

41 

1.07 

44 

1.05 

47 

0, 

1.07 

50 

I. OS 

H 

1.07 

58 

1.07 

20  3 

1.05 

8 

o.< 

1.07 

13 

1.07 

19 

1.07 

25 

1.07 

32 

1.05 

39 

0. 

1.07 

46 

1.07 

54 

1.07 

21   2 

1.07 

II 

1.07 

20 

0. 

1.09 

30 

1.07 

40 

1.07 

51 

1.09 

22  2 

1.07 

14 

0. 

1.09 

27 

1.07 

40 

1.09 

H 

1.09 

23  8 

1.09 

23 

0. 

1.09 

39 

1.09 

55 

I. II 

24  12 

1.09 

30 

I. II 

49 

0. 

I. II 

25  8 

MI 

29 

MI 

50 

I. II 

26  13 
36 

6(y 

A 


_A 


d  =  19°20' 


a  =  20''(y 


\d\6o' 


o 


o 

56 

1  53 

2  49 

3  46 


4  42 

5  38 

6  35 

7  31 

8  27 

9  23 

10  20 

11  16 

12  12 

13  8 

14  5 

15  I 
57 

16  53 

17  49 

18  45 

19  41 

20  37 

21  32 

22  28 

23  24 

24  20 

25  15 

26  II 

27  6 

28  2 
57 

29  52 

30  47 

31  42 

32  37 

33  32 

34  26 

35  21 

36  15 

37  9 

38  3 
57 

39  51 

40  45 

41  39 


20  o 
o 
I 
2 

3 

4 

6 

8 

1 1 

14 

17 
21 

25 
29 

34 

39 
44 
50 
56 

21  3 

10 

18 
26 

34 
43 

53 

22  3 

13 

24 

36 

48 

23  I 
14 
28 
42 

57 

24  13 
30 
48 

25  6 

25 
45 

26  6 
27 
50 

27  14 


A 


_A_ 


_A^ 
60' 


a  =  20**  30' 


60' 

A 


X'! 


60' 


0   / 

0    / 

0  0 

1.07 

20  30 

0. 

56 

1.07 

30 

, 

I  52 

i.os 

31 

, 

2  49 

1.07 

32 

, 

3  45 

1.07 

33 

. 

4  41 

1.07 

H 

o.( 

5  37 

1.07 

3t 

.< 

6  33 

1.07 

38 

.( 

7   29 

I.os 

41 

.< 

8  26 

1.07 

44 

.( 

9  22 

1.07 

47 

0. 

10  18 

1.07 

51 

, 

II  14 

1.07 

55 

. 

12  10 

1.07 

21  0 

. 

13  6 

1.07 

5 

. 

14  2 

1.07 

10 

0. 

58 

1.07 

15 

. 

15  54 

1.09 

21 

16  49 

1.07 

28 

17  45 

1.07 

35 

18  41 

1.07 

42 

0. 

19  37 

1.09 

5? 

. 

20  32 

1.07 

5« 

21  28 

1.07 

22  6 

22  24 

1.09 

15 

. 

23  19 

1.07 

25 

0. 

24  15 

1.09 

^1 

. 

25  10 

1.09 

46 

. 

26  5 

1.09 

57 

.: 

27  0 

1.09 

23  9 

.: 

0  55 

1.09 

21 

0.: 

28  50 

1.09 

34 

29  45 

1.09 

48 

30  40 

1.09 

24  2 

.: 

31  35 

1.09 

17 

•^ 

32  30 

I. II 

32 

0. ; 

33   24 

1.09 

48 

34  19 

MI 

25  5 

35  13 

I. II 

23 

.' 

36  7 

I. II 

42 

37  I 

I. II 

26  I 

0,' 

55 

I. II 

21 

38  49 

1.13 

42 

39  42 

MI 

27  5 

40  36 

'•13 

28 

,t 

41  29 

52 

A 

d  =  20^2(y 


A_ 

6(y 


90 


f7 
86 

|5 

^4 

^3 
82 

81 
80 

78 

77 
76 

75 

74 
73 
72 

71 


13 

70 

n 

6q 

n 

68 

!■; 

67 

17 

66 

17 

65 

18 

64 

18 

6,3 

20 

62 

20 

61 

22 

60 

23 

59 

23 

58 

25 

.57 

25 

5t> 

27 

,SS 

28 

S4 

53 
52 
51 

50 

49 
48 

47 
46 

45 


\ 


90.0 
89.7 

89-3 
89.0 
88.6 

S-3 
87.9 
87.6 
87.2 
86.9 

86.5 
86.2 
85.8 

85.5 
85.1 

84.8 
84.4 
84.0 
837 
83.3 

82.9 
82.5 
82.1 
81.7 
81.3 

80.9 
80.5 
80.1 
79.7 
79-3 

78.8 
78.4 
77-9 
77-5 
77.0 

765 
76.0 

75-5 
75-0 
74-5 

74-0 

73-4 
72.9 

72.3 
71.7 

71. 1 


2 

824 

2.748 

8675 

[ 

Pag 

b229 

K 

a  =  19°  30' 

a  =  20°0' 

a  =  20*'30' 

\1 

V 

\ 

d  1  ^0' 

\*  — 

d 

6c/ 

\  i 

A 

\ 

d 

6& 

\  < 

A 

A 

^\ 

^ 

\  ^ 

Z  \  60' 

h 

\ 

A 

z\ 

6c/ 

h 

\ 

A 

z\ 

ac/ 

A 

n 

o 

0 

, 

0    / 

0 

/ 

0      / 

0 

/ 

0      / 

^ 

0 

45 

41 

48 

I. II 

26  36 

0.42 

41 

39 

i->3 

27  14 

0,42 

41 

29 

'.«3 

27  52 

0.42 

45 

71.1 

46 

42 

42 

'•'3 

27    I 

.42 

42 

32 

I-I3 

„  39 

•43 

42 

22 

MS 

28  17 

•45 

44 

70^5 

47 

43 

35 

I-I3 

26 

•45 

43 

25 

I-I3 

28     5 

•47 

43 

15 

I.IS 

44 

•47 

43 

69.9 

48 

44 

28 

I-I3 

53 

.48 

44 

18 

1. 15 

33 

•47 

44 

7 

1. 15 

29  12 

.48 

42 

69.2 

49 

45 

21 

'•'3 

28  22 

.48 

45 

10 

I.IS 

29     I 

•50 

59 

1. 15 

41 

.50 

41 

68.5 

SO 

46 

14 

i.iS 

51 

0.52 

46 

2 

I.IS 

31 

0^53 

45 

51 

I.IS 

30  II 

O.S3 

40 

67.8 

51 

47 

6 

1. 15 

29  22 

.53 

54 

I.IS 

30     3 

•55 

46 

43 

1. 18 

4^ 

•55 

39 

67.1 

52 

58 

I.IS 

54 

•57 

47 

46 

I.IS 

36 

•57 

47 

34 

1. 18 

31    16 

.58 

38 

66.4 

53 

48 

50 

1. 15 

30  28 

.60 

48  38 

1. 18 

31    10 

.60 

48 

25 

1. 18 

51 

.62 

37 

65.6 

54 

49 

42 

i.iS 

31     4 

.63 

49 

29 

1. 18 

46 

.63 

49 

16 

1. 18 

32  28 

.63 

36 

64.8 

55 

50 

32, 

1. 18 

42 

0,65 

50 

20 

1.20 

32  24 

0.6s 

50 

7 

1.20 

33     ^ 

0.67 

35 

64.0 

56 

51 

24 

1.20 

32  21 

.68 

51 

10 

1.20 

33     3 

.70 

^l 

1.22 

46 

.70 

34 

63.1 

57 

52 

14 

1.20 

Z2>     2 

•72 

52 

0 

1.20 

45 

.73 

51 

46 

1.22 

34  28 

•73 

33 

62.2 

58 

53 

4 

1.20 

45 

.77 

50 

1.22 

34  29 

•77 

52 

33 

1.22 

35   12 

.78 

32 

^•3 

59 

54 

1.22 

34  31 

.80 

53 

39 

1.22 

35   15 

.80 

53 

24 

1.22 

59 

.80 

31 

60.3 

60 

54 

43 

1.22 

35   19 

0.83 

54 

28 

I.2S 

36     3 

0.8  s 

54 

13 

1. 25 

36  47 

0.85 

30 

59-3 

61 

55 

32 

1.25 

36     9 

.88 

55 

16 

I.2S 

54 

.88 

55 

I 

1.28 

37  38 

.90 

29 

58-3 

62 

56 

20 

1.25 

37     2 

.92 

56 

4 

1.28 

37  47 

•93 

48 

1.30 

38  32 

•95 

28 

57^2 

63 

57 

8 

1.28 

57 

.98 

51 

1.28 

38  43 

.98 

56 

34 

1.30 

39  29 

.98 

27 

56.1 

64 

55 

1.30 

38  56 

1.03 

57 

38 

1.30 

39  42 

1.03 

57 

20 

1.30 

40  28 

1.03 

26 

55-0 

65 

58 

41 

1.30 

39  58 

1.08 

58 

24 

1.33 

40  44 

1.08 

58 

6 

1.36 

41   30 

1.08 

25 

53.7 

66 

59 

27 

1.33 

41     3 

I-I3 

59 

9 

1.36 

41  49 

I.IS 

50 

1.36 

42  35 

1. 15 

24 

525 

67 

60 

12 

1.36 

42  II 

1.20 

53 

1.40 

42  58 

1.22 

59 

34 

1.40 

43  44 

1.22 

23 

Si^i 

68 

56 

1.40 

43  23 

1.27 

60 

36 

1.40 

44  II 

1.27 

60 

17 

1.43 

44  57 

1.27 

22 

49-7 

69 

61 

39 

1.43 

44  39 

'•35 

61 

19 

1-43 

45  27 

'•33 

59 

1.46 

46  13 

'•33 

21 

48.3 

70 

62 

21 

1.46 

46     0 

1.40 

62 

I 

i.So 

46  47 

1.40 

61 

40 

1.50 

47  33 

1.40 

20 

46.8 

71 

63 

2 

1.50 

47  24 

1.48 

41 

1.50 

48   II 

1.48 

62 

20 

1.54 

48  57 

1.48 

19 

45-2 

72 

42 

1-54 

48  53 

1-57 

63 

21 

i.S8 

49  40 

'•57 

59 

1.62 

50  26 

1.55 

18 

43-5 

73 

64 

21 

1.58 

50  27 

..65 

S9 

1.62 

51    14 

,.63 

63  36 

1.67 

51   59 

1.62 

^I 

41.8 

74 

59 

1.67 

52     6 

1-73 

64  36 

1. 71 

52  52 

1.72 

64 

12 

1. 71 

53  36 

1.70 

16 

40.0 

75 

65 

35 

1.76 

53  50 

1.83 

65 

II 

1.76 

54  35 

1.80 

47 

1.76 

55  18 

1.80 

15 

38.1 

66 

9 

1.82 

55  40 

1.92 

45 

1.82 

56  23 

1.90 

65 

21 

1,88 

^l     0 

1.87 

14 

36.1 

77 

42 

1.88 

57  35 

2.00 

66 

18 

2.00 

58  17 

1.98 

53 

2.00 

58  58 

'•95 

13 

34^o 

78 

67 

14 

2.07 

59  35 

2.10 

48 

2.07 

60  16 

2.07 

66 

23 

2.14 

60  55 

2.05 

12 

31-9 

79 

43 

2.14 

61  41 

2.20 

67 

17 

2.22 

62  20 

i.17 

51 

2.31 

62  58 

2.12 

II 

29.6 

80 

68 

II 

2.40 

^3  53 

2.28 

44 

2.40 

64  30 

2.2s 

67 

17 

2,50 

^5     5 

2.22 

10 

273 

81 

36 

2.61 

66  10 

2.38 

68 

9 

2.73 

66  45 

2^33 

41 

2^73 

67  18 

2.28 

9 

24.8 

82 

59 

2.86 

68  33 

2.47 

31 

3.00 

69     5 

2.40 

68 

3 

3.00 

69  35 

2^37 

8 

22.3 

83 

69 

20 

3-33 

71      1 

2-53 

51 

3-33 

71   29 

2.S0 

23 

3-33 

71    57 

2.43 

7 

19.7 

84 

38 

3-75 

73  33 

2.62 

69 

9 

3-75 

73  59 

2^55 

41 

4.00 

74  23 

2.50 

6 

17.1 

65 

54 

4.62 

76  10 

2.68 

25 

5.00 

76  32 

2.62 

56 

5.00 

76  53 

2^55 

5 

14-3 

86 

70 

7 

6.00 

78  51 

2.75 

27 

6.00 

79     9 

2.67 

69 

8 

6.67 

79  26 

2.60 

4 

11.6 

87 

17 

8.57 

81   36 

2.77 

47 

8.S7 

81  49 

2.70 

17 

8^57 

82     2 

2.63 

3 

8.7 

88 

24 

12.0 

84  22 

2.82 

54 

12.0 

84  31 

2.73 

24 

12.0 

84  40 

2.67 

2 

S8 

89 

29 

60.0 

87  II 

2.82 

59 

60.0 

87  15 

2.75 

29 

60,0 

87  20 

2.67 

I 

2.9 

90 

30 

90     0 

70 

0 

90     0 

30 

90     0 

0 

0.0 

a 

6<y 

h 

A 

a 

6c/ 

h 

A 

a 

^          b 

A 

a 

t 

A 

6r/ 

A 

ec/ 

A 

60' 

d  =  \Q''2Q' 

d  =  20°0' 

d  =  20°ZO' 

Page  230] 

2 

60s 

2539 

2-475 

\  6 

a  =  21°0' 

a 

=  21°  30' 

a  =  22°  0' 

\  ^ 

V 

\<f 

<:0' 

\  # 

A 

\ 

d 

60' 

\  t 

A 

\^ 

6c/ 

\  * 

_A 

\ 

b\ 

A\ 

A 

Z\ 

60' 

A 

\ 

A 

Z\ 

60' 

A  \ 

A 

Z\ 

60' 

c\ 

o 

0     / 

0     / 

0 

/ 

0     / 

0    / 

0      / 

0 

0 

0 

0    0 

1.07 

21       0 

0.00 

0 

0 

1.07 

21  30 

0.00 

0    0 

1.07 

22      0 

0.00 

90 

90.0 

I 

56 

1.07 

0 

.02 

56 

1.07 

30 

.02 

56 

1.09 

0 

.02 

89 

89.6 

2 

I  52 

1.07 

I 

.02 

I 

52 

1.09 

31 

.02 

I  51 

1.07 

I 

.02 

88 

89-3 

3 

2  48 

1.07 

2 

.02 

2 

47 

1.07 

32 

.02 

2  47 

1.09 

2 

.02 

?7 

88.9 

4 

3  44 

1.07 

3 

.02 

3 

43 

1.07 

33 

.02 

3  42 

1.07 

3 

•03 

86 

88.5 

5 

4  40 

1.07 

4 

0.03 

4 

39 

1.07 

34 

0.03 

4  38 

1.07 

5 

0.03 

85 

88.2 

6 

5   36 

1.07 

6 

.05 

5 

35 

1.07 

36 

•OS 

5   34 

1.09 

7 

•03 

^ 

87.8 

7 

6  32 

1.07 

9 

•03 

6 

33- 

1.09 

39 

•05 

6  29 

1.07 

9 

.05 

^3 

87.4 

8 

7  28 

1.07 

II 

.05 

7 

26 

1.07 

42 

.05 

7  25 

1.09 

12 

.05 

82 

87.1 

9 

8  24 

1.07 

14 

.07 

8 

22 

1.07 

45 

.05 

8  20 

1.07 

15 

•OS 

81 

86.7 

10 

9  20 

1.07 

18 

0.07 

9 

18 

1.07 

48 

0.07 

9  16 

1.09 

18 

0.07 

80 

86.3 

1 1 

10  16 

1.07 

22 

.07 

10 

14 

1.09 

52 

.07 

10  II 

1.07 

22 

.07 

79 

85-9 

12 

II   12 

1.09 

26 

.07 

II 

9 

1.07 

56 

.oS 

II     7 

1.09 

26 

.oS 

78 

85-5 

13 

12     7 

1.07 

30 

.08 

12 

5 

1.09 

22     I 

.oS 

12     2 

1.07 

^l 

.08 

77 

85.2 

14 

13     3 

1.07 

35 

.08 

13 

0 

1.07 

6 

.08 

58 

1.09 

36 

.10 

76 

84.8 

15 

59 

1.07 

40 

0. 10 

56 

1.07 

II 

0. 10 

13  53 

1.09 

42 

O.IO 

75 

84.4 

16 

14  55 

1.09 

46 

.10 

14 

52 

1.09 

17 

.10 

14  48 

1.07 

48 

.10 

74 

84.0 

17 

15   50 

1.07 

52 

.12 

15 

47 

1.07 

23 

.12 

IS  44 

1.09 

54 

.12 

73 

83.6 

18 

16  46 

1.07 

59 

.12 

16 

43 

1.09 

30 

.12 

16  39 

1.09 

23     I 

.12 

72 

83.2 

19 

17  42 

1.09 

22     6 

.12 

17 

38 

1.09 

37 

.13 

17  34 

1.09 

8 

•13 

71 

82.8 

20 

18  37 

1.07 

13 

0,13 

18 

33 

1.07 

45 

0.13 

18  29 

1.09 

16 

0.13 

70 

82.4 

21 

19  33 

1.09 

21 

•13 

19 

29 

1.09 

53 

.13 

19  24 

1.09 

24 

•15 

69 

82.0 

22 

20  28 

1.07 

29 

••5 

20 

24 

1.09 

23     I 

•15 

20  19 

1.09 

33 

•  IS 

68 

81.6 

23 

21   24 

1.09 

38 

••5 

21 

19 

1.09 

10 

•17 

21   14 

1.09 

42 

.17 

67 

81.2 

24 

22  19 

1.09 

47 

.'7 

22 

14 

1.09 

20 

•17 

22     9 

1.09 

52 

•  17 

66 

80.7 

25 

23  14 

1.09 

57 

0.18 

23 

9 

1.09 

30 

0.17 

23     4 

1.09 

24     2 

0.17 

65 

80.3 

26 

24     9 

1.09 

23     8 

.18 

24 

4 

1.09 

40 

.18 

59 

1.09 

12 

.18 

^4 

79-9 

27 

-5     4 

1.09 

19 

.18 

59 

1.09 

51 

.20 

24  54 

1. 11 

23 

.20 

63 

79-4 

28 

59 

1.09 

30 

.20 

25 

54 

1.09 

24     3 

.20 

25  48 

1.09 

35 

.22 

62 

79.0 

29 

26  54 

1.09 

42 

.20 

26 

49 

I. II 

15 

.22 

26  43 

I. II 

48 

.22 

61 

78^5 

30 

27  49 

1.09 

54 

0.22 

27 

43 

1.09 

28 

0.22 

27  37 

1.09 

25     I 

0.22 

60 

78.1 

31 

28  44 

1.09 

24     7 

•^3 

28 

38 

1,09 

41 

.23 

28  32 

III 

14 

•23 

52 

77.6 

32 

29  39 

1.09 

21 

.25 

29 

33 

I. II 

55 

•25 

29  26 

I. II 

28 

•25 

58 

7^i 

33 

30  34 

I. II 

36 

•25 

30 

27 

I. II 

25  10 

•25 

30  20 

I. II 

43 

•27 

57 

76.6 

34 

31   28 

1.09 

51 

•27 

31 

21 

I. II 

25 

.27 

31    14 

I. II 

59 

•27 

56 

76.1 

35 

32  23 

I. II 

25     7 

0.27 

32 

15 

I. II 

41 

0.28 

32     8 

'•13 

26  15 

0.28 

55 

75-6 

30 

33  17 

I.I  I 

23 

.28 

33 

9 

I. II 

.  58 

.28 

33     I 

I. II 

32 

.30 

54 

75-1 

37 

34  II 

I. II 

40 

•30 

34 

3 

I. II 

26  15 

•30 

5  5 

^•13 

50 

•32 

53 

74.6 

38 

35     5 

I. II 

58 

•32 

57 

1. 13 

33 

.33 

34  48 

I. II 

27     9 

.32 

52 

74.0 

39 

59 

I. II 

26  17 

•33 

35 

50 

I. II 

53 

•33 

35  42 

'•13 

28 

•33 

51 

735 

40 

36  53 

1. 13 

37 

0-35 

36 

44 

1. 13 

27  13 

0-35 

36  35 

M3 

48 

0.37 

50 

72.9 

41 

37  46 

I. II 

58 

•35 

37 

37 

1. 13 

34 

.37 

37  28 

'•'3 

28  10 

•37 

4g 

72.3 

42 

38  40 

1. 13 

27  19 

.3« 

^8 

30 

1-13 

0  56 

•37 

38  21 

1. 15 

32 

•  38 

48 

71.7 

43 

39  33 

1. 13 

42 

•38 

39 

23 

1-13 

28   18 

.40 

39  13 

1. 13 

55 

.40 

47 

71. 1 

44 

40  26 

1-13 

28     5 

.42 

40 

16 

1. 15 

42 

.42 

40     6 

1.15 

29  19 

.42 

46 

70.S 

45 

41    19 

30 

41 

8 

29     7 

58 

44 

45 

69.9 

a 

60' 

I 

A_ 

a 

60' 

h 

A 

a 

60' 

b 

A 

a 

i? 

A 

60'' 

A 

60' 

A 

6c/ 

t/  =  5 

.r  0' 

Q 

f  =  21°30' 

d  =  22°Q' 

2.605 


2-539 


2.475 


[Pag^e  231 


K 

0  =  21*0' 

a  =  21°30' 

0  =  22°  0' 

I 

\  * 

\   d 

6c/ 

\.     t 

A 

\ 

6c/ 

\  ' 

A 

60' 

X  t 

A 

\ 

A 

h\ 

A 

Z\ 

6c/ 

A 

z\ 

60' 

A 

2\ 

60' 

'^\ 

f3\ 

o 

0     / 

0      / 

°      A 

0       / 

0      / 

0       / 

0 

45 

41  19 

1.15 

28   30 

0.42 

41     8 

1. 13 

29     7 

0.43 

40  58 

1. 15 

29  44 

0.45 

45 

69.9 

46 

42  1 1 

1.13 

55 

•45 

42     I 

I. IS 

33 

•47 

41   50 

1.15 

30   II 

•47 

44 

69.2 

47 

43     4 

1. 15 

29  22 

•47 

S3 

1. 15 

30     I 

•47 

42  42 

1. 18 

39 

.48 

43 

68.5 

48 

5^^ 

..15 

50 

.50 

43  45 

1. 18 

29 

•50 

43  33 

1. 18 

31      8 

.50 

42 

67.8 

49 

44  4S 

>.i5 

30  20 

.52 

44  36 

i.iS 

59 

•52 

44  24 

1. 18 

38 

•52 

41 

67.1 

50 

45  40 

1. 18 

SI 

o^53 

45  27 

1. 18 

31  30 

0.55 

45   15 

1. 18 

32     9 

0.55 

40 

66.4 
65.6 

=)i 

46  31 

1. 18 

31  23 

•57 

46  18 

i.i8 

32     3 

•57 

46     6 

1.20 

42 

.58 

39 

52 

47  22 

1. 18 

57 

.58 

47     9 

1. 18 

37 

•58 

5^ 

1.20 

33  17 

.60 

38 

64.9 

S3 

48   13 

1.20 

32  32 

.62 

48     0 

1.20 

33  12 

•63 

47  46 

1.20 

53 

.62 

37 

64.1 

54 

49     3 

1.20 

33     9 

.65 

50 

1.22 

50 

.65 

48  36 

1.22 

34  30 

•67 

36 

63.2 

55 

53 

1.20 

48 

0.67 

49  39 

1.22 

34  29 

0.68 

49  25 

1.22 

35   10 

0.68 

35 

62.4 

^t> 

50  43 

1.22 

34  28 

.72 

50  28 

1.22 

35   10 

•72 

50  14 

1.25 

^  51 

•72 

34 

61.S 

57 

51   32 

1.22 

35   II 

•73 

51    17 

1.22 

,  53 

•75 

51      2 

1. 25 

36  34 

•75 

33 

60.6 

58 

!;2    21 

1.25 

^  55 

.78 

52     6 

1.25 

36  38 

.78 

5° 

1.25 

37   19 

.80 

32 

59-6 

59 

53     9 

1.25 

36  42 

.82 

54 

1.28 

37  25 

.82 

52  38 

1.2S 

38     7 

.82 

31 

58.6 

6o 

57 

1.28 

37  31 

0.S5 

53  41 

1.28 

38  14 

0.87 

53  25 

1.30 

56 

0.87 

30 

57-6 

6i 

54  44 

1. 28 

38  22 

.90 

54  28 

1.30 

39     6 

.90 

54  II 

1.30 

39  48 

•92 

29 

56^5 

62 

55  31 

1.30 

39  16 

•95 

55   14 

1.30 

40     0 

•95 

57 

1-33 

40  43 

•95 

28 

5S4 

63 

56  17 

1.30 

40  13 

1. 00 

56     0 

1-33 

57 

1. 00 

5  5  42 

1. 31 

41  40 

1. 00 

27 

54^3 

64 

57     3 

1.33 

41    13 

1.03 

45 

1.36 

41   57 

1.03 

56  27 

1.36 

42  40 

1.05 

26 

53^1 

65 

48 

1.36 

42  15 

1. 10 

57  29 

1.40 

42  59 

1. 10 

57   II 

1.40 

43  43 

1. 10 

25 

5i^8 

60 

58  32 

1.40 

43  21 

1. 1 5 

58  12 

1.40 

44     5 

1. 15 

54 

'•43 

44  49 

1. 1 5 

24 

50^5 

67 

59  15 

1-43 

44  30 

1.20 

•S5 

••43 

45   14 

1.20 

58  36 

1.46 

45   58 

1.20 

23 

49.2 

68 

57 

1-4^1 

45  42 

1.27 

59  37 

1.46 

46  26 

1.27 

59  17 

1.50 

47   10 

1.27 

22 

47^8 

60 

60  39 

1.50 

46  58 

1-33 

60  18 

1.50 

47  42 

1-33 

57 

'•54 

48  26 

1.32 

21 

46^3 

70 

61    19 

1.54 

48   18 

1.40 

.     58 

••54 

49     2 

1.40 

60  36 

1.58 

49  45 

1.38 

20 

44.8 

71 

58 

1.^8 

49  42 

••47 

61   37 

1.62 

^o  26 

1-45 

61    14 

1.62 

51      8 

'•45 

19 

43^2 

72 

62  36 

1.62 

51    10 

'•53 

62   14 

1.62 

51   S3 

'•53 

SI 

1.67 

52  35 

'•53 

18 

41.0 

73 

65   13 

1.67 

52  42 

1.62 

51 

1. 71 

53  25 

1.60 

62  27 

1. 71 

54     7 

1.58 

17 

39-8 

74 

49 

1.76 

54  19 

1.70 

63  26 

1.82 

55     I 

1.68 

63     2 

1.82 

55  42 

i.6s 

16 

38.0 

75 

64  23 

1.82 

56     I 

1.77 

59 

1.82 

56  42 

••75 

.     35 

1.88 

57  21 

••73 

15 

36.2 

76 

56 

1.94 

57  47 

1.85 

64  32 

2.00 

58  27 

1.82 

64     7 

2.00 

59     5 

1.80 

14 

34-2 

77 

65  27 

2.00 

59  38 

'•93 

65     2 

2.07 

60  16 

1.90 

.     37 

2.14 

60  53 

1.88 

13 

32.2 

78 

..  57 

2.14 

61   34 

2.00 

^l 

2.22 

62  10 

1. 98 

65     5 

2.22 

62  46 

'•95 

12 

30.1 

79 

66  25 

2.40 

63  34 

2.10 

58 

2.40 

64     9 

2.07 

32 

2.50 

64  43 

2.02 

II 

27.9 

80 

50 

2.50 

65  40 

2.17 

66  23 

2.61 

66  13 

2.12 

56 

2.61 

66  44 

2.10 

10 

25.7 

81 

67   14 

2-73 

67  SO 

2.23 

46 

2-73 

68  20 

2.20 

66  19 

2.86 

68  50 

2.17 

9 

234 

82 

36 

3.16 

70     4 

2.32 

67     8 

3-33 

70  32 

2.27 

40 

3-33 

71     0 

2.22 

8 

21.0 

83 

55 

3-53 

72  23 

2.38 

26 

3-53 

72  48 

2.33 

58 

3-75 

73   13 

2.28 

7 

18.5 

84 

68   12 

4.29 

74  46 

2-43 

43 

4.29 

75     8 

2.38 

67   14 

4.29 

75   30 

2^33 

6 

16.0 

0^5 

26 

5.00 

77   12 

2.50 

.0   57 

5.00 

77  31 

2.43 

28 

5-45 

77   SO 

2-37 

5 

13-4 

80 

38 

6.00 

79  42 

^•53 

68     9 

6.67 

79  57 

2.48 

39 

6.67 

80  12 

2.42 

4 

10.8 

87 

48 

^.57 

82   14 

^•57 

18 

8.57 

82  26 

2.50 

48 

S.57 

82  37 

2.45 

3 

8.1 

88 

55 

15.0 

84  48 

2.60 

25 

15.0 

84  56 

2-53 

55 

15.0 

85     4 

2-47 

2 

5-4 

89 

59 

60.0 

87  24 

2.60 

29 

60.0 

87  28 

2^53 

59 

60.0 

87  32 

2.47 

I 

2.7 

90 

69     0 

90     c 

30 

90     0 

68     0 

90     0 

0 

0.0 

a 

6c/ 

b 

A 

a 

60' 

b 

A 

a 

60' 

b 

_A 

a 

t 

A 

6c/ 

A 

60' 

A 

60' 

d  =  2i°0' 

J  =  21"  30' 

d  =  22°  0' 

Page  232]         2414 


2356 


2.300 


\ 

a  =  22^  30' 

a  =  23°0' 

a  =  23°  30' 

K 

\  * 

\<« 

60' 

\  t 

A 

\  d 

M 

\  * 

_A 

\  d 

6c/ 

X  t 

A 

\ 

A 

A\ 

A 

Z\ 

60' 

k\ 

1  ^ 

2\ 

60' 

li\ 

A 

z\ 

6C/ 

^\ 

^\ 

0 

0    / 

0     / 

0     / 

0    / 

0    / 

0   / 

0 

0 

0 

0    0 

1.09 

22  30 

0.00 

0    0 

1.09 

23    0 

0.00 

0    0 

1.09 

23  30 

0.00 

90 

90.0 

I 

55 

1.07 

30 

.02 

55 

1.07 

0 

.02 

55 

1.09 

30 

.02 

^o2 

89.6 

2 

I   51 

1.09 

31 

.02 

I   51 

1.09 

I 

.02 

I  50 

1.09 

31 

.02 

88 

^l 

3 

2  46 

1.07 

32 

.02 

2  46 

1.09 

2 

.02 

2  45 

1.09 

32 

.02 

f7 

88.8 

4 

3  42 

I.J9 

33 

•03 

3  41 

1.09 

3 

•03 

3  40 

1.09 

33 

.03 

86 

88.4 

5 

4  37 

1.07 

35 

0.03 

4  36 

1.09 

5 

0.03 

4  35 

1.09 

35 

0.03 

85 

88.0 

6 

5  33 

1.09 

37 

.03 

5  31 

1.09 

7 

.03 

5  30 

1.09 

37 

.03 

84 

87.6 

7 

6  28 

1.09 

39 

.05 

6  26 

1.07 

9 

•05 

6  25 

1.09 

39 

.05 

f3 

ll-^ 

8 

7  23 

1.07 

42 

•05 

7  22 

1.09 

12 

•05 

7  20 

1.09 

42 

.07 

82 

86.9 

9 

8  19 

1.09 

45 

.07 

8  17 

1.09 

15 

.07 

8  15 

1.09 

46 

.05 

81 

86.5 

10 

9  14 

1.09 

49 

0.07 

9  12 

1.09 

19 

0.07 

9  10 

1.09 

49 

0.07 

80 

86.1 

1 1 

10     9 

1.09 

53 

.07 

10     7 

1.09 

23 

.07 

10     5 

1.09 

53 

.08 

79 

8S7 

12 

II     4 

1.07 

57 

.08 

II     2 

1.09 

27 

.08 

II     0 

MI 

58 

.08 

78 

IH 

13 

12     0 

1.09 

23     2 

.08 

57 

1.09 

32 

.10 

54 

1.09 

24   3 

.08 

77 

84.8 

14 

55 

1.09 

7 

.10 

12  52 

1.09 

38 

.08 

12  49 

1.09 

8 

.10 

76 

84.4 

IS 

13  50 

1.09 

13 

0. 10 

13  47 

1.09 

43 

0. 10 

13  44 

1.09 

14 

0. 10 

75 

84.0 

16 

14  45 

1.09 

19 

.10 

14  42 

1.09 

49 

.12 

14  39 

I.II 

20 

.12 

74 

83.6 

17 

15  40 

1.09 

25 

.12 

15   37 

1.09 

56 

.12 

15   33 

1.09 

27 

.12 

73 

83.2 

18 

16  35 

1.09 

32 

.12 

16  32 

I.II 

24     3 

•13 

16  28 

I.II 

34 

.13 

72 

82.8 

19 

17  30 

1.09 

39 

•13 

17  26 

1.09 

11 

•  13 

17  22 

1.09 

42 

•13 

71 

82.3 

20 

18  25 

1.09 

47 

0.13 

18  21 

1.09 

19 

0.13 

18   17 

I.II 

50 

0-13 

70 

81.9 

21 

19  20 

1.09 

55 

•IS 

19  16 

MI 

27 

•»5 

19  II 

1.09 

58 

•15 

69 

81.5 

22 

20  IS 

1.09 

24     4 

•17 

20  10 

1.09 

36 

•15 

20     6 

I.II 

25     7 

•«7 

68 

81.0 

23 

21    10 

I. II 

14 

•17 

21      5 

I.II 

45 

•17 

21     0 

I.II 

17 

•  17 

67 

80.6 

24 

22     4 

1.09 

24 

•'7 

59 

1.09 

55 

.18 

54 

I.I  I 

27 

.18 

66 

80.1 

25 

59 

1.09 

34 

0.18 

22  54 

I.II 

25     6 

0.18 

22  48 

I.II 

38 

0.18 

65 

79-7 

26 

23  54 

I. II 

45 

.18 

23  48 

I.II 

17 

.18 

23  42 

I.II 

49 

.20 

64 

79.2 

27 

24  48 

I. II 

56 

.20 

24  42 

I.TI 

28 

.20 

24  36 

I.II 

26     I 

.20 

63 

78.7 

28 

25  42 

1.09 

25     8 

.22 

25  36 

MI 

40 

.22 

25  30 

I.II 

13 

.22 

62 

78.3 

29 

26  37 

I. II 

21 

.22 

26  30 

I.II 

53 

.23 

26  24 

I.II 

26 

•  23 

61 

77-8 

30 

27  31 

i.ii 

34 

0.23 

27  24 

I.II 

26     7 

0.23 

27  18 

M3 

40 

0.23 

60 

77^3 

31 

28  25 

MI 

48 

.23 

28  18 

I.II 

21 

•  23 

28  II 

MI 

54 

•25 

5§ 

76.8 

32 

29  19 

I.II 

26     2 

■25 

29  12 

I-I3 

35 

.27 

29     ■; 

'•I3 

27     9 

.25 

58 

76.3 

33 

30  13 

I.II 

17 

•27 

30     5 

I.I  I 

51 

•27 

58 

'•i3 

24 

.27 

5Z 

75-8 

34 

31     7 

I.13 

33 

.28 

59 

1. 13 

27     7 

.28 

30  51 

1. 13 

40 

.28 

56 

75-2 

35 

32     0 

I.II 

SO 

0.28 

31   52 

1. 13 

24 

0.28 

31  44 

1. 13 

57 

0.30 

55 

74-7 

36 

54 

M3 

27     7 

.30 

32  45 

I-I3 

41 

•  30 

32  37 

'•i3 

28  15 

.32 

54 

74.2 

1>7 

Zl  47 

I-I3 

25 

•32 

33  38 

'•n 

0  59 

.32 

33  30 

i^J3 

34 

•  32 

53 

73-6 

38 

34  40 

1.13 

„  44 

.33 

34  31 

1. 13 

28  18 

•33 

34  23 

1. 15 

53 

•35 

52 

730 

39 

35  33 

1. 13 

28     4 

•33 

35  24 

1. 13 

38 

•35 

35   15 

'•15 

29  14 

•35 

51 

72.4 

40 

36  26 

1. 13 

24 

0.35 

36  17 

1.15 

59 

0.37 

3^     7 

1.15 

35 

0.37 

50 

71.8 

41 

37  19 

1. 15 

45 

.38 

37     9 

I. IS 

29  21 

•38 

59 

1. 15 

57 

.38 

4^ 

71.2 

42 

38  II 

1. 15 

29     8 

.40 

38     I 

1.15 

44 

.40 

37  51 

1. 15 

30  20 

.40 

48 

70.6 

43 

39     3 

1. 15 

32 

.40 

53 

1. 15 

30     8 

•42 

38  43 

1. 18 

44 

.42 

4Z 

70.0 

44 

55 

1.15 

56 

•43 

39  45 

1.15 

33 

•43 

39  34 

1.15 

31     9 

•  43 

46 

69.3 

45 

40  47 

30  22 

40  37 

59 

40  26 

35 

45 

68.7 

a 

60' 

h 

^ 

a 

60^1 

6 

A_ 

a 

60' 

6 

A 

a 

t 

^ 

6c/ 

A    1 

60' 

A 

6c/ 

d 

=  22°  30' 

I 

i  =  2 

S^'O' 

d 

=  25 

l°30' 

2.414 


2.356 


2-300 


[Page  233 


45 

46 

47 
48 

49 

50 

51 

52 
53 
54 

56 

57 
58 
59 

60 

61 
62 
63 
64 

65 

66 

67 
68 
69 

70 

7i 
72 

73 
74 

76 
77 
78 
79 

80 

81 
82 
83 
84 

85 

86 

87 
88 
89 

90 


0  =  22"  30' 

6c/ 
A 


0   / 

0   / 

40  47 

1. 15 

30  22 

41  39 

1. 15 

48 

42  31 

1. 18 

31  16 

43  22 

1. 18 

45 

44  13 

1.20 

32  16 

45  3 

1.20 

48 

53 

1.20 

iZ   21 

46  43 

1.20 

56 

47  23 

1.22 

34  32 

48  22 

1.22 

35  10 

49  II 

1.25 

.   50 

59 

1.25 

36  32 

50  47 

1.25 

37   15 

51  35 

1.28 

38  I 

52  22 

1.30 

48 

53  8 

1.30 

39  38 

54 

1.30 

40  31 

54  40 

1.36 

41  25 

55  24 

i.S*^ 

42  23 

5b  8 

1.40 

43  23 

51 

1.40 

44  26 

57  34 

1-43 

45  31 

58  16 

1-50 

46  40 

5<3 

1.50 

47  52 

59  36 

1.54 

49  8 

60  15 

1.62 

50  27 

52 

1.62 

51  50 

61  29 

1. 71 

53  17 

62  4 

..76 

54  47 

38 

1.82 

56  21 

63  II 

1.94 

58  0 

42 

2.07 

59  43 

64  II 

2.14 

61  30 

39 

2.31 

63  21 

65  5 

2.50 

65  16 

29 

2.73 

67  15 

51 

3.00 

69  19 

66  II 

3-33 

71  26 

29 

3-75 

73   36 

45 

4.29 

75  50 

59 

';-4'; 

78  7 

67   10 

6.67 

80  26 

19 

lO.O 

82  48 

25 

iS.o 

85  II 

29 

60.0 

87  35 

30 

90  0 

6<y        , 
—        0 

A 


0.43 

•47 
.48 
.52 
.53 

0-S5 
.58 
.60 

.63 
.67 

0.70 
.72 

•77 
.78 
.83 


.90 

•97 
.00 

•05 
.08 

•15 

.20 

•27 
•32 

.38 
•45 
•5^ 
•57 
.65 

.72 
.78 

•85 
.92 

.98 

2.07 
2.12 
2.17 
2.23 
2.28 

2.32 

2-37 
2.38 
2.40 
2.42 


6c/ 


a  =  23''0' 


_A_ 
6c/ 


0   / 

0  / 

40  37 

1. 18 

30   59 

41  28 

1. 18 

31  26 

42  19 

1. 18 

54 

43  10 

1.20 

32  23 

44  0 

1.20 

54 

50 

1.20 

33   26 

45  40 

1.20 

34  0 

46  30 

1.22 

35 

47  19 

1.22 

35  12 

48  8 

1.25 

50 

56 

1.25 

36  30 

49  44 

1.25 

37   12 

50  32 

1.28 

56 

51  19 

1.28 

38  42 

52  6 

1.30 

39  30 

52 

'•33 

40  20 

53  37 

1^33 

41  12 

54  22 

i.^b 

42  7 

55  b 

1.40 

43  5 

49 

1.40 

44  5 

56  32 

'•43 

45   8 

57  14 

1.46 

46  13 

55 

I. SO 

47  22 

58  35 

1.50 

48  34 

59  15 

1.58 

49  50 

53 

1.62 

51  8 

60  30 

1.67 

52  31 

61  6 

1. 71 

53  57 

41 

1.82 

55  27 

62  14 

1.88 

57  0 

46 

2.00 

58  38 

63  lb 

2.C7 

60  19 

45 

2.14 

62  5 

64  13 

2.40 

63  54 

38 

2.50 

65  48 

65  2 

2.86 

67  45 

23 

3.00 

69  46 

..   43 

3^33 

71  51 

66     I 

4.00 

73   59 

16 

4,62 

76   10 

29 

5.45 

78  24 

40 

6.67 

80  40 

49 

lO.O 

82  58 

55 

'5-0 

85  18 

59 

60.0 

87  39 

67  0 

go     0 

60^       , 

—  0 

._iJ_ 

d  =  23°0' 


77 
,82 
,90 
■95 

2.02 
2.08 

2^I3 

2.18 

2.23 

2.27 

2.30 
2-33 
2^35 
2.35 


_A^ 
60' 


a  =  23°  30' 


10' 

A 


^ 
(& 


0     / 

0   / 

40  26 

1. 18 

31  35 

0. 

41  17 

1.20 

32  3 

42  7 

1. 18 

31 

58 

1.20 

33     I 

43  48 

1.20 

32 

44  38 

1.22 

34  5 

0. 

45  27 

1.22 

39 

46  16 

1.22 

35  14 

. 

47  5 

1.22 

51 

, 

54 

1.25 

36  30 

, 

48  42 

1.28 

37   10 

0. 

49  29 

1.28 

52 

50  16 

1.28 

38  36 

51  3 

1.30 

39  22 

49 

1.30 

40  10 

52  35 

1.33 

41   I 

0. 

S3  20 

U3b 

53 

54  4 

1.36 

42  48 

48 

1.40 

43  46 

55  31 

'•43 

44  46 

I, 

56  13 

1.46 

45  49 

54 

..46 

46  55 

57  35 

'•5° 

48  3 

58  15 

1.58 

49  15 

53 

1.58 

50  30 

59  31 

1.62 

51  49 

60  8 

1. 71 

53  II 

43 

1.76 

54  36 

61  17 

1.82 

56  5 

50 

1.94 

57  38 

I. 

62  21 

2.00 

59  14 

I. 

51 

2.14 

60  55 

63  19 

2.22 

62  39 

I. 

46 

2.40 

64  27 

. 

64  II 

2.61 

66  18 

34 

2^73 

68  14 

I. 

56 

3.16 

70  13 

2. 

65  15 

3^53 

72  15 

2. 

32 

4.00 

74  21 

2. 

47 

4.62 

76   29 

2. 

66     0 

5^45 

78  40 

2. 

II 

7-^° 

80  53 

2. 

19 

1 0.0 

83  8 

2. 

25 

i5^° 

85  25 

2.. 

29 

60.0 

87  42 

2. 

30 

90  0 

'3 


03 


45 

44 
43 
42 
41 

40 

39 
38 

37 
36 

35 

34 
33 
32 
31 

30 

29 
28 

27 
26 

25 

24 
23 
22 
21 

20 

19 

18 

17 
16 

15 
14 
13 
12 
II 

10 

9 

8 

7 
6 

5 

4 
3 
2 
I 


68.7 
68.0 

67.3 
66.S 
65.8 

65.0 
64.2 

634 
62.6 
61.7 

60.8 

59-9 
S9.0 
58.0 
57-0 

55-9 
54.8 
53-7 
52.5 
Si-3 

50.0 
48.7 

47^4 
46.0 

44^5 

430 
41.4 

397 
38.0 

363 

34-4 
325 
30.6 
28.5 
26.4 

24.3 
22.1 
19.8 
17.4 
15- 1 

12.6 

10. 1 

7.6 

0.0 


6c/  , 

—  0 

A 

(i  =  23°30' 


_A 

6c/ 


Page  234]         2246 


2.194 


2-145 


\b 

a  =  24°0' 

a  =  24°  30' 

a  =  25°0' 

A- 

\  ** 

\(f 

60' 

\  t 

A 

\  d 

60' 

1  \^ 

A 

h\ 

60' 

X  / 

A 

\ 

b\ 

A\ 

A 

z\ 

60' 

h\ 

A 

1^ 

60' 

A 

z\ 

6cy 

_£\ 

P\ 

0 

0    / 

0       / 

0    / 

0      / 

0    / 

0   / 

p 

rj 

0 

0    0 

1.09 

24   0 

0.00 

0    0 

1.09 

24   30 

0.00 

0    0 

I.I  t 

25   0 

0.00 

90 

90.0 

I 

55 

1.09 

0 

.02 

55 

I. II 

30 

.02 

54 

1.09 

0 

.02 

89 

89.6 

2 

I   50 

1. 1 1 

I 

.02 

I  49 

1.09 

31 

.02 

I  49 

I.I  I 

I 

.02 

88 

89.2 

3 

2  44 

1.09 

2 

.02 

2  44 

I.I  I 

32 

.02 

2  43 

1.09 

2 

.02 

87 

88.8 

4 

3  39 

1.09 

3 

.03 

3  38 

1.09 

33 

•03 

3  38 

I. II 

3 

•03 

86 

88.3 

5 

4  34 

1.09 

5 

0.03 

4  33 

I. II 

35 

0.03 

4  32 

I. II 

5 

0.03 

85 

87.9 

0 

5  29 

1.09 

7 

•°5 

5  27 

1.09 

37 

.05 

5   26 

I.I  I 

7 

.05 

84 

87^5 

7 

6  24 

I. II 

10 

.05 

6  22 

1.09 

40 

.05 

6  20 

1.09 

10 

.05 

83 

ll-"- 

S 

7  18 

1.09 

13 

.05 

7  17 

I.I  I 

43 

.05 

7   15 

I. II 

13 

•05 

82 

86.7 

9 

8   13 

1.09 

16 

.07 

8   II 

1. 1 1 

46 

.07 

8     9 

I. II 

16 

•07 

81 

86.2 

10 

9     8 

I.I  I 

20 

0.07 

9     5 

1.09 

50 

0.07 

9     3 

I. II 

20 

0.07 

80 

8s8 

1 1 

10     2 

1.09 

24 

.07 

10     0 

I.I  I 

54 

.08 

57 

1.09 

24 

.08 

79 

85^4 

12 

57 

1.09 

28 

•  oS 

54 

1.09 

59 

.08 

10   52 

I. II 

29 

.08 

78 

85.0 

13 

II    52 

I.I  I 

33 

.10 

II  40 

I.I  I 

25     4 

.08 

1 1  46 

I. II 

34 

.10 

77 

84.5 

14 

12  46 

1.09 

39 

.10 

12  43 

I. II 

9 

.10 

12  40 

I. II 

40 

.10 

76 

84.1 

15 

13  41 

I. II 

45 

O.IO 

13  37 

1.09 

15 

0.12 

J  3   34 

I. II 

46 

0.  12 

75 

83.7 

16 

14  35 

I. II 

51 

.12 

14  32 

I. II 

22 

.12 

14  28 

I. II 

53 

.12 

74 

83.2 

17 

15  29 

1.09 

58 

.12 

15  26 

1. 1 1 

29 

.12 

15   22 

I. II 

26     0 

.12 

73 

82.8 

18 

16  24 

I.I  I 

25     5 

•13 

16  20 

I. II 

36 

•13 

16  16 

I.I  I 

7 

•13 

72 

82.3 

19 

17  18 

I. II 

13 

.13 

17  14 

I. II 

44 

•13 

17   10 

M3 

15 

•>3 

71 

81.9 

20 

18  12 

1.09 

21 

o.is 

18     8 

1. 1 1 

.  52 

0.15 

18     3 

I. II 

23 

0.15 

70 

81.4 

21 

19     7 

I.I  I 

30 

•15 

19     2 

I. II 

26     I 

•15 

57 

I.I  I 

32 

•17 

69 

81.0 

22 

20     I 

I.I  I 

39 

•17 

56 

I. II 

10 

•17 

19  51 

'•13 

42 

•17 

68 

80.5 

23 

55 

I. II 

49 

•17 

20  50 

I-I3 

20 

.18 

20  44 

I. II 

52 

.18 

67 

80.0 

24 

21  49 

I. II 

59 

.18 

21   43 

I. II 

31 

.18 

21   38 

1-13 

27     3 

,18 

66 

79^5 

25 

22  43 

I. II 

26  10 

o.iS 

22  37 

I. II 

42 

0.18 

22  31 

1. 1 1 

14 

0.18 

65 

79.1 

20 

23  37 

1-13 

21 

.20 

23  31 

1. 13 

53 

.20 

23  25 

M3 

25 

.20 

64 

78.6 

27 

24  30 

I. II 

33 

.22 

24  24 

1-13 

27     5 

.22 

24  18 

'•13 

37 

.22 

63 

78.1 

28 

25  24 

'•'3 

46 

.22 

25   17 

I. II 

18 

.22 

25   II 

1. 13 

50 

•23 

62 

77.6 

-9 

26  17 

I. II 

59 

•23 

26  II 

i-'3 

31 

•23 

26     4 

'•i3 

28     4 

•23 

61 

77.1 

30 

27  II 

1-13 

27  13 

0.23 

-V     4 

1-13 

45 

0.25 

57 

'•i3 

18 

0.25 

60 

76^5 

.•;i 

28     4 

I-I3 

27 

.25 

0   57 

•••3 

28     0 

•25 

27  50 

1. 15 

33 

•25 

59 

76.0 

^2 

57 

i-'3 

42 

.27 

28  50 

1. 13 

15 

•27 

28  42 

1. 13 

48 

•27 

58 

75-5 

33 

29  50 

1-13 

58 

•27 

29  43 

1. 15 

31 

.28 

29  35 

1. 15 

29     4 

.28 

57 

74-9 

34 

30  43 

1-13 

28  14 

.28 

30  35 

'•13 

48 

.28 

30  27 

1.15 

21 

•33 

56 

74^4 

35 

3^   36 

1-13 

31 

0.30 

31   28 

1. 15 

29     5 

0.30 

31    19 

1. 15 

39 

0.32 

55 

73-8 

so 

32  29 

1. 15 

49 

•32 

32  20 

1. 15 

23 

•33 

32  II 

1. 1 5 

58 

•32 

54 

73-2 

37 

33  21 

1. 15 

29     8 

•33 

33  12 

1. 15 

43 

•33 

33     3 

i.iS 

30  17 

•33 

53 

72.6 

38 

34  13 

1. 15 

28 

•35 

34     4 

1. 15 

30     3 

•35 

55 

1.15 

37 

•35 

52 

72.0 

39 

35     5 

1. 15 

49 

•35 

56 

1. 15 

24 

.35 

34  47 

1. 18 

58 

•  37 

51 

71.4 

40 

.  -"^^ 

1. 15 

30  10 

0.37 

35  48 

1. 18 

45 

0.37 

3  5  38 

1. 18 

31   20 

0.38 

50 

70.8 

41 

36  49 

I.I  s 

32 

.40 

36  39 

1. 18 

31     7 

.40 

36  29 

1. 18 

43 

.40 

49 

70.2 

42 

37  41 

1. 18 

56 

.40 

37  30 

1. 18 

31 

.42 

37  20 

1. 18 

32     7 

•40 

48 

69-5 

43 

38  32 

1. 18 

31   20 

.42 

38  21 

i.iS 

56 

.42 

38   II 

1.20 

31 

•43 

47 

68.9 

44 

39  23 

1. 18 

45 

•45 

39  12 

i,i8 

32  21 

•45 

39     I 

1.20 

57 

•45 

46 

68.2 

45 

40  14 

32  12 

40     3 

48 

51 

33  24 

45 

67^S 

a 

60' 

b 

A 

a 

Gey 

b 

A 

a 

6(/ 

h 

A 

a 

t    - 

A 

60' 

A 

(& 

A 

60' 

f/  =  24'*0' 

ti  =  24°30' 

d  =  25°0' 

45 

4b 

47 
48 

49 

50 

51 
^2 

=^3 
54 

55 

50 

57 
SS 

59 

60 

61 
62 

63 

64 

65 

66 

67 
68 
69 

70 

71 
72 
73 
74 

76 
77 
78 
79 

80 

Si 
82 
83 


85 

86 

87 
88 

89 
90 


2.246 


a  =  24°0' 


40  14 

41  5 
55 

42  4;-; 

43  35 

44  2S 

45  14 

46  3 
51 

47  39 


27 

14 

I 

47 
33 

52  18 

53  2 
46 

54  29 
^5  II 


53 

56  34 

57  14 
53 

58  31 

59  8 
44 

60  19 

53 

61  25 

56 

62  26 

54 

63  20 

44 

64  7 
28 
47 

65  3 
18 

31 
41 

49 
55 
59 

66  o 


■94 

2.00 
2.14 

2-3' 

2.';0 
2,61 


3.16 

3-75 
4.00 
4.62 

6.00 

7.50 

lO.O 

15.0 

60.0 


12 

39 
8 
38 
34  10 


33 


43 

35  17 

36  30 

37  9 

49 

38  32 

39  16 

40  2 
50 

41  41 

42  34 

43  29 

44  27 

45  27 

46  30 

47  35 

48  44 

49  5  5 

51  10 

52  28 

53  49 
55  14 
36  42 

58  14 

59  50 
61  29 

63  12 

64  58 
66  48 

68  42 
70  39 
72  39 
74  42 
76  47 

78  55 
81  6 
83  18 
85  31 
87  45 

00     o 


60' 
a       — 


60' 


0.4'; 
.48 
.50 
•53 
•55 

0.57 
.60 
.62 

•  65 
.67 

0.72 
•73 
•77 


.1=; 
,iS 

•25 
,30 

.35 

■42 
.47 
■53 
,60 

.6s 
•7~ 
■77 
.83 
,90 

1.95 

2.00 
2.05 
2.08 
2.13 

2.18 

2.20 
2.22 
2.23 


Co' 


^  =  24°0' 


2.194 


0  =  24°  30' 


6c/ 


0   / 

0   / 

40  3 

1.20 

32  48 

53 

1.20 

33  16 

41  43 

1.20 

45 

42  33 

1.22 

34  15 

43  2J 

1.22 

47 

44  II 

1.22 

35  20 

45  0 

1.22 

,  55 

49 

1.25 

^6  31 

46  37 

1.25 

37     8 

47  25 

1.28 

47 

48  12 

1.30 

-,8  28 

58 

1.30 

39  II 

49  44 

1.30 

55 

50  30 

'•33 

40  42 

51  15 

1-33 

41  30 

52  0 

..36 

42  21 

44 

1.40 

43  14 

53  27 

1.4c 

44  9 

54  10 

1^43 

45  7 

52 

1.46 

46  7 

5  5  33 

1.46 

47  10 

56  14 

1. 54 

48  15 

53 

'•54 

49  24 

57  32 

1.62 

50  35 

58  9 

1.62 

51  49 

46 

1.67 

53  7 

59  22 

1.76 

54  28 

56 

1.82 

55  52 

60  29 

iM 

57  19 

61   I 

2.00 

58  50 

31 

2.07 

60  24 

62  0 

2.22 

62  2 

27 

2^3I 

63  44 

53 

2.50 

65  29 

63  17 

2.73 

67   17 

39 

2.86 

69  9 

64  0 

3-33 

71  3 

18 

3-53 

73     I 

35 

4.29 

75  2 

49 

4.62 

77     5 

65  2 

6.00 

79  10 

12 

7-5° 

81  18 

20 

12.0 

83  27 

25 

15.0 

85  37 

29 

60.C 

S7  48 

30 

';0    0 

0.47 

•48 
.50 

•53 
•55 

0.58 
.60 
.62 

.6^ 

.6;s 
0.72 

•73 
•78 
.80 

•85 


.92 

•97 

.00 

•05 
.08 
•  I"; 
.18 

•23 
.30 

•35 
.40 

•45 
•52 
.57 

.63 

.70 

.7S 

.So 
•87 
.90 

•97 
2.02 
2.05 
2.08 

2,13 

2.15 
2.17 
2.1S 
2.20 


60' 

A 

(?  =  24°30' 


A_ 
60' 


2.14s 


o  =  25°0' 


[Page  235 

T 


A 

60' 


0   / 

0   / 

39  51 

1.20 

33  24 

40  41 

1.20 

52 

41  31 

1.22 

34  22 

42  20 

1.22 

52 

43  9 

1.22 

35  24 

58 

1.22 

57 

44  47 

1. 25 

36  32 

45  3S 

1.28 

37     8 

46  22 

1.28 

46 

47  9 

1.28 

38  26 

56 

1.30 

39  7 

48  42 

1.30 

49 

49  28 

1.30 

40  34 

50  14 

'•33 

41  21 

59 

1.36 

42  9 

51  43 

1.40 

43  0 

52  26 

1.40 

53 

53  9 

1.43 

44  48 

51 

1.43 

45  46 

54  33 

1.50 

46  46 

ss  13 

1.50 

-17  49 

53 

'•54 

48  54 

56  32 

1.58 

qo  2 

57  10 

1.62 

51  13 

47 

..67 

52  27 

58  23 

1.71 

53  44 

ss 

1.76 

55  5 

59  32 

1.82 

56  28 

60  s 

1.94 

57  55 

36 

2.00 

59  25 

61  6 

2.14 

60  58 

34 

2.22 

62  35 

62  I 

2.40 

64  15 

26 

2.50 

65  58 

50 

2^73 

67   45 

63  12 

3.00 

69  35 

32 

3-33 

71  27 

50 

3-75 

73   23 

64  6 

4.29 

75  21 

20 

5.00 

77   22 

32 

6.00 

79  25 

42 

7.50 

81  30 

i;o 

1 0.0 

83  36 

56 

20.0 

85  43 

59 

60.0 

87  51 

65  c 

90  0 

^•4' 
.50 
.50 
.53 
•55 

0.58 
.60 

.63 
.67 
,68 

0.70 

•75 
.78 
.80 

•85 


,3^ 
45 
■50 
.55 

,62 

,67 
.72 
,78 
■83 

,87 
■93 
■97 

2.02 
2.05 

2.08 
2. 10 
2.12 
2.13 
2.15 


60' 

A 


A^ 

6(y 


d  =  25°  0' 


45 
44 
43 
42 
41 

40 

39 
38 
37 
36 

35 

34 
33 
32 
31 

30 

29 

28 
27 
26 

25 

24 
23 
22 
21 


19 
18 

17 
16 

15 
14 
13 
12 
II 

10 

9 

8 

7 
6 

5 
4 
3 
2 

I 


67^5 
66.8 
66.0 
65^3 
64-5 

637 
62.9 
62.0 
61.2 
60.3 

59-4 
58.4 
57^4 
56^4 
55-4 

54^3 
53-2 
52.0 

50-9 
49.6 

48.4 
47.0 
45-7 
44^3 
42.8 

4i^3 
39^7 
38.1 
36^4 
34-7 

329 
31^0 
29.1 
27.1 
25.1 

23.0 
20.9 
18.7 
16.S 
14.2 

I1.9 
9.6 
7.2 

4.8 
2.4 

0.0 


Page  236]         2  097 


2050 


2.006 


I 

a  =  25'' 30' 

0  =  26*' 0' 

0  =  26*30' 

){ 

\  * 

60' 

A 

A 
60' 

60' 

A 

Z\ 

A 

60' 

60' 

A 

A 
60' 

A 

0 
0 

0    / 

0    0 

I. II 

0      / 

25  30 

0.00 

0     / 

0    0 

I.II 

26     0 

0.00 

0      / 
0    0 

I.II 

2^    30 

0.00 

t 

88 

87 
86 

0 
90.0 

I 

2 

3 
4 

54 

1  48 

2  43 

3  37 

I. II 
1.09 
1. 1 1 
I. II 

30 
31 
32 

33 

.02 
.02 
.02 
•03 

54 

1  48 

2  42 

3  36 

I.II 
I.II 
I.II 
I.II 

0 
I 

2 
3 

.02 
.02 
.02 
.03 

54 

1  47 

2  41 

3  35 

i^i3 
I.I  I 
I.II 
1. 13 

30 
31 
32 

33 

.02 
.02 
.02 
•03 

89.6 
89.1 
88.7 
88.2 

5 

6 

7 
8 

9 

4  31 

5  25 

6  19 

7  13 

8  7 

I. II 

I. II 
I. II 

I.I  I 

35 
37 
40 

43 
47 

0.03 

.05 
.05 
.07 
.07 

4  30 

5  23 

6  17 

I  ^^ 
8     5 

1.13 
I.II 
I.II 
I.II 
I.II 

5 

7 

10 

13 

17 

0.03 

•05 
•05 
.07 
.07 

4  28 

5  22 

6  16 

7  9 

8  3 

I.II 
I.II 

'•13 
I.II 

1. 13 

35 
37 
40 

43 
47 

0.03 
•05 
•05 
.07 
.07 

|5 

82 
81 

87.8 
87.4 
86.9 
86.5 
86.1 

10 

1 1 
12 
13 
14 

9     I 

55 

10  49 

11  43 

12  37 

i.ii 
I. II 
I. II 
I.II 
I.II 

SI 

^  55 

26    0 

5 
II 

0.07 
.08 
.08 
.10 
.10 

59 
9  53 

10  46 

11  40 

12  34 

I.II 
1^13 
I.II 
I.II 

M3 

21 
25 
30 
35 
41 

0.07 
.08 
.08 
.10 
.10 

56 
9  50 

10  43 

11  37 

12  30 

I.II 
i^i3 
I.II 

■•13 
I.II 

12 

0.08 
.08 
.08 
.10 
.10 

80 

79 
78 

76 

85.6 
85.1 
847 
842 
83.8 

17 
18 

19 

13  31 

14  24 

15  18 

16  12 

17  5 

1.13 
I.II 
I.II 
1. 13 
I.II 

17 
24 

31 
46 

0.12 
.12 
.12 
.13 
•15 

13  27 

14  21 

15  14 

16  8 

17  I 

I.II 

1. 13 
I.II 

M3 
1. 13 

47 

54 

27     I 

9 
17 

0.12 
.12 
•  13 
•13 
•15 

13  24 

14  17 

15  10 

'^     k 
56 

'•i3 
'.13 
1.13 
1. 13 
1.13 

18 

25 
32 
40 
48 

0.12 
.12 
•13 
•13 
•15 

75 
74 
73 
72 
71 

83.3 
82.8 
82.4 
81.9 
81.4 

20 

21 
22 

23 

24 

59 

18  52 

19  46 

20  39 

21  32 

1. 13 
I.II 

'•13 
1. 13 

1. 13 

55 
27     4 

13 
23 
34 

0.15 
•15 
•17 
.18 
.18 

54 

18  47 

19  40 

20  33 

21  26 

1. 13 
'•13 
1. 13 
1. 13 

M3 

26 

35 

45 

5S 

28     6 

CIS 

•17 
.17 
.18 
.18 

17  49 

18  42 

19  35 

20  28 

21  21 

'•13 
1. 13 

1. 13 
M3 
1. 15 

28^^ 
16 
26 

37 

0.15 

■•7 

.20 

69 
68 
67 
66 

80.9 
80.4 
80.0 

79-5 
79.0 

25 

20 
27 
28 
29 

22  25 

23  18 

24  II 

25  4 

57 

'•'3 
'•'3 
1-13 
1. 13 
1. 13 

45 

0  57 
28  10 

23 
37 

0.20 
.22 
.22 
•23 
•23 

22  19 

23  12 

24  5 
57 

25  50 

1. 13 
1. 13 
1. 15 
1. 13 
1.15 

17 
29 

42 

55 

29     9 

0.20 
.22 
.22 
.23 
•  23 

22  13 

23  6 
58 

24  SI 

25  43 

M3 

I.IS 
1. 13 
1.15 

MS 

49 
29     I 

14 
27 
41 

0.20 
.22 
.22 
.23 

.25 

62 
61 

78.4 
77^9 
77-4 
76.9 

763 

30 

31 
32 
33 
34 

26  50 

27  42 

28  35 

29  27 

30  19 

1.15 
'•13 
1.15 
1.15 
1. 15 

SI 
29     6 

22 
38 

55 

C.25 

•27 
.27 
.28 
.30 

26  42 

27  34 

28  26 

29  18 

30  10 

1. 15 
I. IS 
1. 15 
1. 15 
I. IS 

23 
38 
54 
30  II 
28 

0.2s 
.27 
.28 
.28 

•  30 

26  35 

27  27 

28  19 

29  10 

30  2 

1. 15 
I.IS 
1. 18 
1. 15 
1. 18 

56 

30  II 

27 
44 

31  I 

0.25 
.27 
.28 
.28 
•32 

60 

59 

58 

56 

75-8 
75-2 
74.7 
741 

73-5 

3| 

36 

38 

39 

31  II 

32  3 
54 

33  45 

34  36 

1. 15 
1. 18 
1. 18 
1. 18 
1.18 

30  13 
31 
SI 

31  II 

32 

0.30 
•33 
•33 
•35 
.38 

31  2 
53 

32  45 

33  36 

34  27 

1. 18 
i.iS 
1. 18 
1. 18 

1. 18 

46 

31  5 
25 
45 

32  7 

0.32 
.33 
•33 
.37 
.37 

53 

31  44 

32  35 

33  26 

34  17 

1. 18 
1. 18 
1. 18 

1. 18 
1.20 

20 
39 
59 
32  19 
41 

0.32 

•33 
•  33 
.37 
.38 

55 
54 
53 
52 
51 

72.9 
723 
71.7 
71.1 
70.5 

40 

41 
42 

43 
44 

35  27 

36  18 

37  9 

38  0 
50 

1.18 
1. 18 
1. 18 

1.20 
1.20 

55 

32  18 
42 

33  7 
33 

0.38 
.40 
•  42 
•43 
•45 

35  18 

36  8 

37  48 

38  38 

1.20 
1.20 
1.20 
1.20 
1.20 

29 
52 

33  17 
42 

34  8 

0.38 
.42 
•42 
•43 

•47 

35  7 

36  47 

37  37 

38  26 

1.20 
1.20 
1.20 
1.22 
1.22 

33  4 
27 
51 

34  17 
44 

0.38 
.40 
•43 
•45 
.45 

50 

69.8 
69.1 
68.5 

67.1 

45 

39  40 

34     0 

39  28 

36 

39  IS 

35  II 

45 

66.3 

t 

a 

6o_' 
A 

b 

A 

60' 

a 

60' 
A 

b 

A 

60' 

a 

60^ 

A 

6 

A 
60' 

a 

^  =  25*30' 

d  =  2&'0' 

d  =  2&*2(y 

2.097 
a  =  25°  30' 

A 


45 

4t> 
47 
48 
49 

50 

SI 
5^ 
53 
54 

55 

50 
57 
58 
59 

6o 

6i 

62 

63 

64 

65 

66 

67 
68 

69 

70 

71 
72 

73 

74 

75 

76 

77 
78 
79 

80 

8i 

82 

83 
84 

85 

86 

87 
88 

89 
90 


0   / 

0   / 

39  40 

1.22 

34  0 

0.^ 

40  29 

1.22 

28 

41  18 

1.22 

58 

42  7 

1.22 

35  29 

56 

1.22 

36  I 

43  45 

1.25 

35 

0. 

44  33 

1.28 

37   10 

, 

45  20 

:.2« 

46 

. 

46  7 

1.28 

38  24 

, 

54 

1.28 

39  4 

. 

47  41 

1.30 

45 

0.' 

48  27 

1.33 

40  28 

49  12 

1-33 

41  13 

57 

1.36 

59 

50  41 

1.36 

42  48 

51  25 

1.40 

43  39 

0. 

52  8 

1.43 

44  32 

, 

50 

1-43 

45  27 

. 

53  32 

1.46 

46  25 

i.< 

54  13 

1.50 

47  25 

I. 

53 

i.i;o 

48  28 

I, 

55  33 

1.58 

49  33 

56  II 

i.SS 

50  41 

49 

1.67 

51  51 

57  25 

1.67 

53  5 

58  I 

1.76 

54  21 

35 

1.82 

55  41 

59  8 

1.88 

57  4 

40 

1.94 

58  30 

60  II 

2.07 

59  59 

40 

2.14 

61  31 

61  8 

2.22 

63  6 

35 

2.50 

64  45 

59 

2.61 

66  27 

62  22 

2-73 

68  12 

44 

3.00 

70  0 

63  4 

3-53 

71  51 

21 

3-75 

73   44 

37 

4.29 

75  40 

51 

5.00 

77   38 

2. 

64  3 

6.00 

79  39 

2. 

13 

«.57 

81  41 

2. 

20 

lO.O 

83  44 

2. 

26 

20.  c 

85  49 

2. 

29 

60.0 

87  54 

2. 

30 

90  0 

_A_ 
60' 


^M     b 

I    A     I 


85 


6c/ 


2.050 

a  =  26^  0' 

A 


0   / 

0   / 

39  28 

1.22 

34  36 

O.i 

40  17 

1.22 

35  4 

41  6 

1.22 

34 

55 

1.25 

36  5 

42  43 

1.25 

37 

43  31 

1.28 

37   II 

0. 

44  18 

1.28 

46 

. 

45  5 

1.28 

38  23 

. 

52 

1.28 

39  I 

. 

46  39 

1.30 

41 

47  25 

'•33 

40  23 

o.- 

48  10 

1-33 

41  6 

55 

1.33 

51 

49  40 

1.36 

42  38 

.! 

50  24 

1.40 

43  26 

.1 

51  7 

1.43 

44  17 

O.J 

49 

1.43 

45  10 

52  31 

1.43 

46  6 

. 

53  13 

1.50 

47  3 

i.< 

53 

1.50 

48  3 

i.< 

54  33 

1-54 

49  5 

i.< 

55  12 

i.S8 

50  10 

50 

1.62 

51  18 

56  27 

1.67 

52  28 

57  3 

1. 71 

53  42 

38 

1.76 

54  58 

58  12 

1.88 

56  17 

44 

1.88 

57  39 

59  16 

2.00 

59  4 

46 

2.07 

60  32 

60  15 

2.22 

62  3 

42 

2.31 

63  37 

61  8 

2.  "JO 

65  14 

32 

2.61 

66   55 

55 

2.86 

68  38 

62  16 

3.16 

70  24 

35 

3-33 

72  13 

53 

4.00 

74  4 

63  8 

4.29 

75  58 

22 

5-45 

77   54 

33 

6.00 

79  52 

2. 

43 

«.57 

81  52 

2. 

50 

1 0.0 

83  53 

2. 

56 

20.0 

85  55 

2. 

59 

60.0 

87  57 

2. 

04  0 

90  0 

-        6 

I   ^   I 


60' 


03 


_A 
60/ 


2.006 

a  =  26°  30' 

60' 

A 


[Page  237 


0   / 

0  / 

39  15 

1.22 

35  II 

40  4 

1.22 

40 

53 

1.25 

36  10 

41  41 

1.25 

41 

42  29 

1.25 

37  14 

43  17 

1.28 

48 

44  4 

1.28 

38  23 

51 

1.30 

39  0 

45  37 

1.30 

^S 

46  23 

1.30 

40  18 

47  9 

1.33 

41  0 

54 

1.36 

43 

48  38 

1.3& 

42  28 

49  22 

1.36 

43  15 

50  6 

1.40 

44  4 

49 

1-43 

55 

51  31 

1.46 

45  48 

52  12 

1.46 

46  43 

53 

1.50 

47  41 

53  33 

1-54 

48  41 

54  12 

I.S8 

49  43 

50 

1.58 

50  48 

55  28 

1.67 

51  55 

56  4 

1.67 

53  5 

40 

1. 71 

54  18 

57  15 

1.82 

55  33 

48 

1.88 

56  51 

58  20 

1.94 

58  13 

51 

2.00 

59  37 

59  21 

2.14 

61  4 

49 

2.22 

62  34 

60  16 

2.40 

64  7 

41 

2.  so 

65  43 

61   5 

2.61 

67  22 

28 

3.00 

69  4 

48 

3.16 

70  48 

62  7 

3-53 

72  35 

24 

4.00 

74  24 

39 

4.29 

76  16 

53 

5.45 

78  10 

63  4 

6.67 

80  5 

13 

«.';7 

82  2 

20 

10. 0 

84  0 

26 

20.0 

86  0 

29 

60.0 

88  0 

30 

90  0 

^    b 

A 

d  =  26°30' 


_A 
60' 

0.48 

.50 
•52 
•55 
•57 

0.58 
.62 
.63 
.67 

.70 

0.72 

•75 
.78 
.82 
.85 
0.88 
•92 
•97 
.00 

•03 

.o3 
.12 

•'7 
.22 

.25 

•30 
•37 

.40 

•45 

.50 

•55 
.60 

•65 

.70 

•73 

.78 
.82 
.87 
.90 
•92 

•95 

•97 
2.00 
2.00 
2.00 


6c/ 


45 

44 
43 
42 
41 

40 

39 
38 
37 
36 

35 
34 
33 
32 
31 

30 

29 

2^ 

27 
26 

25 

24 
23 
22 
21 

20 

19 
18 

17 
16 

15 
14 
13 
12 
11 

10 

9 
8 

7 
6 

5 

4 
3 
2 

I 


66.3 
65.6 
64.8 
64.0 
63.2 

62.4 
61.6 
60.7 
59-8 
58.9 

58.0 
57^0 
56.0 
54^9 
53-9 

52.8 
51^7 
505 
49^3 
3.1 

46.8 

45-4 
44.1 
42.7 
41.2 

39-7 
38.1 
36.5 
349 
33^2 

31-4 
29.6 
27.8 
25-9 
239 

21.9 
19.9 
17.8 
iS6 
135 

"•3 
9.1 
6.8 
4.6 
2.3 

0.0 


Page  238] 

1.963 

1.921 

1.881 

\ 

a  =  27° 

0' 

a  =  27°  30' 

a  =  28° 

0' 

\\ 

\  * 

\d 

6c/ 

\ 

t 

A 

\  d 

60' 

\    t 

A 

\  d 

60' 

\^ 

t 

A 

\ 

A 

A  \ 

A 

z 

60' 

*\ 

A 

z\ 

60/ 

A  \ 

A 

z 

\ 

60' 

^\ 

i8\ 

0 

0      / 

0 

/ 

0     / 

0     / 

0     / 

0 

/ 

^ 

0 

0 

0     0 

'•'3 

27 

0 

0.00 

0    0 

••13 

27  30 

0.00 

0    0 

1. 13 

28 

0 

0.00 

90 

90.0 

I 

53 

I. II 

0 

.02 

53 

M3 

30 

.02 

53 

1.13 

0 

.02 

89 

89-5 

2 

I  47 

1.13 

I 

.02 

I  46 

I. II 

31 

.02 

I  46 

'•'3 

I 

.02 

88 

89.1 

3 

2  40 

I. II 

2 

.02 

2  40 

M3 

32 

.02 

2  39 

1. 13 

2 

.02 

87 

88.6 

4 

3  34 

1. 13 

3 

.03 

3  33 

'•'3 

33 

•  03 

3  32 

1. 13 

3 

•03 

86 

88.2 

5 

4  27 

I.I  I 

5 

0.05 

4  26 

'•13 

35 

0.05 

4  25 

'•i3 

5 

0.05 

85 

87.7 

6 

5  21 

'••3 

8 

.05 

5   19 

1-13 

38 

.05 

5   18 

'•13 

8 

•05 

84 

87.2 

7 

6  14 

1-13 

II 

.05 

6  12 

1.13 

41 

.05 

6  II 

'•i3 

II 

.OS 

83 

86.8 

8 

2     7 

I.I  I 

14 

.05 

7     5 

I. II 

44 

.07 

7     4 

1.15 

14 

.07 

82 

86.3 

9 

8     I 

I-I3 

17 

.07 

59 

'•13 

48 

.07 

56 

1-13 

18 

.07 

81 

85.8 

10 

54 

1. 1 3 

21 

0.08 

8  52 

1.13 

H 

0.07 

8  49 

1. 13 

22 

o.oS 

80 

853 

1 1 

9  47 

I.I  ! 

26 

.08 

9  45 

1. 13 

0   56 

,oS 

9  42 

1. 13 

27 

.oS 

79 

84.9 

12 

10  41 

1. 1 3 

^i 

.08 

10  38 

1-13 

28      I 

.10 

to  35 

1. 15 

32 

.08 

78 

84.4 

13 

II   34 

I-I3 

36 

.10 

II   31 

I. IS 

7 

.10 

II   27 

1. 13 

37 

.10 

77 

839 

14 

12  27 

1-13 

42 

.12 

12  23 

1. 13 

13 

.10 

12  20 

'•13 

43 

.12 

76 

834 

IS 

13  20 

1. 13 

49 

0.12 

13   16 

'•13 

19 

0.12 

13  13 

1. 15 

SO 

0.12 

75 

82.9 

i6 

14  13 

1-13 

56 

.12 

14     9 

i^i3 

26 

••3 

14     5 

1. 13 

57 

.12 

74 

82.5 

17 

15     6 

I-I3 

28 

3 

.13 

15     2 

i^i3 

34 

•13 

58 

1.15 

29 

4 

••3 

73 

82.0 

iS 

^  59 

1.13 

II 

•13 

^  55 

1. 15 

42 

•13 

15  so 

1. 15 

12 

••5 

72 

81.5 

19 

16  52 

i-'3 

19 

•'S 

16  47 

I-I3 

SO 

•15 

16  42 

i^'3 

21 

•  •5 

71 

81.0 

20 

17  45 

1. 15 

28 

0.15 

17  40 

1.15 

59 

0.17 

17  35 

1. 15 

30 

0.17 

70 

80.5 

21 

18  37 

1.13 

27 

.17 

18   32 

1. 15 

29    9 

•17 

18  27 

LIS 

40 

•  17 

6q 

79-9 

22 

19  30 

1. 1 5 

47 

.18 

19  24 

1. 13 

19 

.18 

19  19 

LI5 

SO 

.18 

68 

79-4 

23 

20  22 

1. 13 

58 

,iS 

JO   17 

I.  IS 

30 

.18 

20  II 

1.15 

30 

I 

.iS 

67 

78.9 

24 

21    15 

1.15 

29 

9 

.20 

21      9 

LIS 

41 

.20 

21     3 

LIS 

12 

.20 

66 

78.4 

^1 

22     7 

1. 13 

21 

0.20 

22      I 

1. 15 

53 

0.20 

55 

1. 18 

24 

0.22 

65 

77.8 

26 

23     0 

i.iS 

33 

.22 

53 

1. 15 

30     5 

.22 

22  46 

1. 15 

37 

.22 

64 

77^3 

27 

52 

1.15 

46 

.22 

23  45 

1. 15 

18 

.23 

23   3^ 

I.I8 

SO 

.22 

63 

76.8 

28 

24  44 

LM 

59 

•23 

24  37 

1. 18 

32 

.23 

24  29 

1. 15 

31 

3 

.25 

62 

76.2 

29 

25   36 

1. 18 

30 

13 

.25 

25  28 

1. 15 

46 

.25 

25   21 

1.18 

18 

.25 

61 

75-6 

30 

26  27 

1. 15 

28 

0.27 

26  20 

1. 18 

31     I 

0.25 

26  12 

I.I8 

33 

0.27 

60 

7SI 

31 

27   19 

1. 15 

44 

.27 

27  II 

1. 18 

16 

.28 

27     3 

1.18 

49 

•  27 

59 

74-5 

32 

28   II 

I. 18 

31 

0 

.28 

28     2 

1. 18 

33 

.28 

54 

LI8 

32 

5 

.23 

58 

73^9 

33 

29     2 

1. 18 

17 

.30 

S3 

1. 18 

SO 

•30 

28  45 

1.20 

22 

.30 

57 

73-3 

34 

53 

1,18 

35 

.30 

29  44 

1. 18 

32     8 

•30 

29  35 

L18 

40 

.32 

56 

72.7 

35 

30  44 

1. 18 

53 

0.32 

30  35 

1. 18 

26 

0.33 

30  26 

1.20 

59 

0-33 

55 

72.1 

36 

31   35 

1. 18 

32 

12 

.33 

31   26 

1.20 

46 

•33 

31    16 

1.20 

33 

19 

•33 

54 

7I-S 

37 

32  26 

1.20 

32 

•35 

32  16 

1.20 

33     6 

•35 

32     6 

1.20 

39 

•37 

53 

70.8 

38 

33  16 

1.20 

53 

.37 

33     6 

1.20 

27 

.37 

56 

1.20 

34 

I 

•37 

52 

70.2 

39 

34     6 

1.20 

33 

15 

.38 

56 

1.20 

49 

.38 

33  46 

1.22 

23 

.38 

51 

69-5 

40 

5? 

1.20 

38 

0.38 

34  46 

1.22 

34  12 

0.4c 

34  35 

1.22 

46 

0.40 

50 

68.8 

41 

35  46 

1,20 

34 

I 

.42 

35  35 

1.22 

36 

•42 

35  24 

1.22 

35 

10 

•42 

49 

68.1 

42 

36  36 

1.22 

26 

•43 

36  24 

1.22 

35     I 

•43 

36  13 

1.22 

35 

•43 

48 

67.4 

43 

37   25 

1.22 

52 

•45 

37   13 

1.22 

27 

•45 

37     2 

1.25 

36 

I 

•  4^ 

47 

66.7 

44 

38   14 

1.22 

35 

19 

•47 

38     2 

1.22 

54 

•47 

50 

L2S 

28 

.48 

46 

66.0 

45 

39     3 

47 

51 

36  22 

38  38 

57 

4S 

65.2 

a 

6(y 

b 

A 

a 

6<y 

b 

A 

a 

6c/ 

b 

A_ 

a 

t 

A 

6c/  1 

A 

60/ 

A 

6c/ 

d  =  2T0' 

fi 

^  =  27°  30' 

d^22>°Qf 

1963 


1921 


i88i 


[Page  239 


45 

4  b 

47 
48 
49 

SO 

31 
52 
53 
54 

55 

b^ 
57 
58 
59 

60 

61 
62 
63 
64 

^1 

66 

67 
68 
69 

70 

71 
72 

73 
74 

75 

76 

77 
78 
79 

80 

ol 

82 

83 

8.' 

85 

86 

87 
8S 

89 
90 


0   / 

0  / 

39  3 

1.22 

3  5  47 

O.i 

52 

1.2=; 

36  16 

40  40 

1.25 

46 

41  28 

1.28 

37   17 

42  15 

1. 28 

50 

43  2 

1.28 

38  24 

0. 

49 

1. 28 

39  0 

, 

44  36 

1.30 

37 

. 

45  22 

1-33 

40  15 

. 

46  7 

1-33 

55 

52 

1.33 

41  37 

0. 

47  37 

1.36 

42  20 

48  21 

1.36 

43  5 

49  5 

1.40 

'^2 

48 

1.43 

44  41 

50  30 

1.43 

45  32 

0. 

51  12 

1.46 

46  25 

53 

i.-;o 

47  21 

. 

52  33 

1.50 

48  18 

I. 

53  13 

1.58 

49  18 

I. 

51 

1.58 

50  20 

I. 

54  29 

1.62 

51  24 

55  t 

1.67 

52  31 

42 

1. 71 

53  41 

56  17 

1.76 

54  53 

51 

1.82 

56  8 

57  24 

1.88 

57  25 

Sb 

2.00 

58  46 

58  26 

2.07 

60  9 

55 

2.14 

61  35 

59  23 

2.22 

63     4 

50 

2.40 

64  36 

60  15 

2.61 

66  II 

I, 

38 

2.73 

67  48 

I, 

61  0 

3.00 

69  28 

20 

3.16 

71  II 

39 

3-53 

72  56 

5  b 

4.29 

74  43 

62  10 

4.62 

76  33 

23 

5.00 

78  24 

35 

6.67 

80  18 

44 

8.<;7 

82  12 

51 

12.0 

84  8 

56 

20.0 

86  5 

59 

60.0 

88  2 

63     0 

90  0 

^'     b 

A 

d  =  2T0' 


_A_ 
60' 


0   / 

0   / 

38  51 

1.25 

36  22 

39  39 

1.25 

5^ 

40  27 

1.28 

37   21 

41  14 

1.28 

53 

42  1 

1.28 

38  26 

48 

1.28 

39  0 

43  35 

1.30 

36 

44  21 

1-33 

40  13 

45  6 

1-33 

52 

SI 

1.33 

41  32 

46  36 

1.36 

42  14 

47  20 

1.36 

57 

48  4 

1.40 

43  42 

47 

1-43 

44  29 

49  29 

1-43 

45  18 

50  II 

1.46 

46     9 

52 

1.46 

47  2 

51  33 

1.50 

0  57 

52  13 

1.54 

48  54 

52 

1.58 

49  54 

53  30 

1.58 

50  56 

54  8 

1.67 

52  0 

44 

1.67 

53  7 

55  20 

1.76 

54  16 

54 

1.7b 

55  27 

56  28 

1.88 

56  42 

57  0 

1.94 

57  59 

31 

2.00 

59  18 

58  1 

2.07 

60  41 

30 

2.22 

62  6 

57 

2.31 

63  34 

59  23 

2.40 

65  5 

48 

2.61 

66  38 

60  II 

2.86 

68  14 

32 

3.00 

69  52 

.     52 

3-33 

71  33 

61  10 

3-53 

73   16 

27 

4.29 

75  2 

41 

4.62 

76   50 

54 

5-45 

78  39 

62  5 

6.67 

80  30 

14 

«.S7 

82  22 

21 

12.0 

84  16 

26 

20.0 

86  10 

29 

60.0 

88  5 

30 

90  0 

0.48 

.50 

•53 

•55 
•57 

0.60 
.62 

.65 
.67 
.70 

0.72 

•75 
.78 
.82 
.85 

0.88 
.92 

•95 

.00 

•03 

.07 
.12 

•  15 
.18 
.25 

.28 

•32 

.38 
.42 
•47 

•52 

•55 
,60 

.63 


A 

cZ  =  27°30' 


60' 


0   / 

0   / 

38  38 

^•25 

36  57 

39  26 

1.28 

37   26 

40  13 

1.28 

56 

41  0 

1.28 

38  28 

47 

1.28 

39  I 

42  34 

1.30 

36 

43  20 

1-33 

40  12 

44  5 

^33 

49 

SO 

'•33 

41  28 

45  35 

1.36 

42  8 

46  19 

1.36 

50 

47  3 

1.40 

43  34 

46 

1.40 

44  19 

48  29 

1-43 

45  6 

49  II 

1.46 

55 

S2 

1.46 

46  46 

50  33 

1.50 

47  38 

51  13 

1.50 

48  33 

S3 

..58 

49  30 

52  :.i 

1.58 

50  30 

53   9 

1.62 

51  31 

46 

...67 

52  35 

54  22 

1. 71 

53  41 

57 

1.76 

54  5C 

55  31 

1.82 

56  I 

56  4 

1.88 

57  15 

3^ 

1.94 

58  31 

57  7 

2.07 

59  50 

36 

2.14 

61  12 

58  4 

2.22 

62  36 

31 

2.31 

64  3 

57 

2.  CO 

65  32 

59  21 

2.61 

67  4 

44 

2.86 

68  39 

60  5 

3.. 6 

70  16 

24 

3-33 

71  55 

42 

3-75 

73  36 

58 

4.29 

75  20 

61  12 

4.62 

77     6 

25 

5-45 

78  53 

36 

7.50 

80  42 

44 

8.  .-7 

82  32 

51 

12.0 

84  23 

56 

20.0 

86  iq 

59 

60.0 

88  7 

62  0 

90  0 

0.48 

.50 

•53 
•55 
•58 

0.60 
.62 
.6c; 
.67 
.70 

©•73 
•75 
.78 
.82 
.85 

0.87 
.92 
•95 


,07 


6<y 

~A 


_A_ 

6(y 


d  =  28°(y 


45 

44 
43 
42 

41 
40 

39 
38 
37 
36 

35 
34 
33 
32 
31 

30 

29 

28 

27 
26 

25 

24 

23 
22 
21 


•27 

20 

•  32 

19 

•37 

18 

.40 

17 

•45 

16 

.48 

15 

•  53 

14 

.5« 

13 

.62 

12 

•65 

II 

10 

9 

8 

7 
6 

5 

4 
3 
2 

I 


65.2 
64.4 

637 
62.9 
62.0 

61.2 
60.3 
59-4 
58.5 
57-6 

56.6 
55.6 
54-6 
53-5 
52-5 

51-3 
50.2 
49.0 
47.8 
46.6 

45-3 
44.0 
42.0 
41.2 
39-7 

38.2 
36.7 
35-1 
33-5 
31.8 

30.1 
28.4 
26.6 
24.7 
22.8 

20.9 
18.9 
16.9 
14.9 
12.8 

10.7 
8.6 
6.5 
4-3 
2.2 

0.0 


Page 

240] 

1 

.842 

1.I 

304 

1.768 

\b 

a  =  28°  30' 

a  =  29°  0' 

a  =  29°  30' 

\ 

V 

<  0' 

1  ^ 

A 

6c/ 

60' 

A 

z\ 

A 
6(/ 

ec/ 

A 

H 

A 

60' 

\ 

o 
0 

I 

2 

3 
4 

o        / 

0  O 

53 

1  46 

2  38 

3  31 

1. 13 
1. 13 
1.15 
1. 13 
1-13 

0    / 

28  30 

30 
31 
32 

34 

0.00 
.02 
.02 

•03 
.03 

0     / 

0  0 

52 

1  45 

2  37 

3  30 

1. 15 

'•i3 
1.15 
1.13 
1.15 

0      / 

29    0 
0 

I 

2 

4 

0.00 
.02 
.02 
•03 
.03 

0    / 

0  0 

52 

1  44 

2  37 

3  29 

1.15 
1. 15 

1. 15 
1. 15 

29  30 
30 
31 
32 

34 

0.00 
.02 
.02 
•03 
•03 

0 

88 

87 

86 

0 
90.0 

89^5 
89.0 

88.5 
88.1 

7 
8 

9 

4  24 

5  16 

6  9 

7  2 
54 

1. 15 
••13 
1. 13 
I. IS 
1. 13 

36 
38 
41 
44 
48 

0.03 
.OS 
.05 
.07 
.07 

4  22 

6  7 
59 

7  52 

••'3 

MS 

1. 15 
1.13 

I.IS 

6 

8 
II 
14 
18 

0.03 

•05 
.05 
.07 
.07 

4  21 

6  5 

57 

7  49 

1.15 
1.15 
1.15 
1.15 
1. 15 

36 
38 
41 
44 
48 

0.03 
.05 

•OS 
.07 
.08 

^5 

84 

82 
81 

87.6 
87.1 
86.6 
86.1 
85.6 

10 

1 1 

12 

13 

8  47 

9  39 

10  32 

11  24 

12  17 

i.iS 

M3 

1. 15 
1. 13 
1.15 

52 

57 

29     2 

8 

14 

0.08 
.08 
.10 
.10 
.12 

8  44 

9  36 

10  29 

11  21 

12  13 

1.15 

'•13 
I.IS 

1.15 
1.15 

22 
27 

38 

44 

0.08 
.08 
.10 
.lo 
.12 

8  41 

9  33 

10  25 

11  17 

12  9 

MS 
MS 

I.IS 

MS 
MS 

58 

30     3 

9 

15 

0.08 
.08 
.10 
.10 
.12 

80 

79 

78 

76 

85.1 
84.6 
84.1 
83.6 
83^i 

15 

i6 

17 
i8 

19 

13  9 

14  I 

53 

15  45 

16  37 

MS 
1. 15 

I.IS 

1.15 
1. 15 

21 
28 
35 
43 
52 

0.12 
.12 
•13 
•15 
.15 

13  5 
57 

14  49 

15  41 

16  33 

MS 

1. 15 

I.IS 

1.15 
1. 18 

30     6 
14 
23 

0.12 
•13 
•13 
•IS 
•15 

13  I 
53 

14  45 

15  36 

16  28 

1.15 
MS 
1. 18 
1.15 

m8 

22 
29 
37 
45 
54 

0.12 
•13 
•«3 
•IS 
•15 

75 

74 
73 

72 

71 

82.6 
82.1 
81.6 
81.0 
80.5 

20 

21 

22 
23 
^4 

17  29 

18  21 

19  13 

20  5 

57 

I.IS 

MS 
MS 

1.15 
I.I8 

30     I 
II 
21 
32 
44 

0.17 

•17 
.18 
.20 

.20 

17  24 

18  16 

19  8 

59 

20  50 

I.I5 
1.15 

m8 
m8 
1. 18 

32 
42 
52 
31     3 
15 

0.17 

•17 
.18 
.20 
.20 

17  19 

18  II 

19  2 

53 

20  44 

I.IS 
1. 18 
m8 
m8 
1. 18 

31     3 
13 
24 

46 

0.17 
.18 
.18 
.18 
.20 

69 
68 
67 
66 

80.0 

79-5 
78.9 
78.4 
77.8 

25 

26 

27 
28 
29 

21  48 

22  40 

23  31 

24  22 

25  13 

I.IS 
m8 
m8 
1. 18 
1. 18 

5^ 

31     8 

21 

35 
50 

0.20 
.22 
•23 

•25 
•25 

21  41 

22  32 

23  23 

24  14 

25  5 

1.18 
m8 
r.i8 
m8 
m8 

27 
40 

53 

32     7 

22 

0.22 
.22 
•23 

•25 
•25 

21  35 

22  26 

23  16 

24  7 
57 

1. 18 
1.20 
m8 
1.20 
m8 

58 
32  1 1 
25 
39 
54 

0.22 
.23 
.23 

.25 

•27 

P 
62 

61 

77.3 
76.7 
76.1 

7S5 
750 

30 

31 

32 

33 
34 

26  4 
55 

27  45 

28  36 

29  26 

1. 18 
1.20 
1. 18 
1.20 
1.20 

32  5 
21 
38 
55 

33  13 

0.27 
.28 
.28 
•  30 
.32 

56 

26  47 

27  37 

28  27 

29  17 

1.18 
..20 
1.20 
1.20 
1.20 

37 
53 
33  10 
28 
46 

0.27 
.28 
.30 
.30 
•32 

25  48 

26  38 

27  28 

28  18 

29  7 

1.20 
1.20 
1.20 
1.22 
1.20 

33  10 
26 

43 

34  0 
19 

0.27 
.28 
.28 

•  32 

•  32 

60 

it 
11 

74-4 
73-8 
73-1 
72.5 
71.9 

39 

30  16 

56 

32  45 

33  34 

1.20 
1.20 
1.22 
1.22 

32 
52 
34  13 
34 
57 

0.33 
•35 

.38 

30  7 

31  46 

32  35 

33  24 

1.22 
1.20 
1.22 
1.22 
1.22 

34  5 
25 
46 

35  7 
30 

0.33 
•35 
•3S 
.38 
.38 

57 

30  46 

31  35 

32  24 

33  13 

1.22 
1.22 
1.22 
1.22 
1.25 

3^ 
58 

35  19 
41 

36  3 

0.33 
•3S 
•37 
•37 
.40 

55 
54 
53 
52 
51 

71.3 
70^6 
69.9 

693 
68.6 

40 

41 

42 

43 
44 

34  23 

35  12 

36  I 
49 

37  37 

1.22 
1.22 

I.2S 

1.25 
1.25 

35  20 
44 

36  9 
36 

37  3 

0.40 
.42 
•45 
•45 
•47 

34  13 

35  I 

36  37 

37  25 

1.25 
1.25 
1.25 
1.25 
1.28 

36  ?l 

43 

37  10 

37 

0.42 
•42 

•45 
•45 
•47 

34  I 
49 

35  37 

36  25 

37  12 

1.25 
1.25 
1.25 
1.28 
1.28 

27 
51 

37  17 
44 

38  II 

0.40 
•43 
•45 

•45 
.48 

50 

48 
46 

67.9 
67.1 
66.4 

657 
64.9 

45 

38  25 

31 

38  12 

38     5 

59 

40 

45 

64.1 

t 

a 

6c/ 

b 

A 

6(y 

a 

60' 
A 

6 

A 
6& 

a 

60' 

A 

b 

A 

a 

a 

'  =  28°  30' 

d  =  29°0' 

ti  =  29°30' 

1.842 


i.8o4 


i.yfis 


[Page  241 


45 

46 

47 
48 

49 

50 

51 
52 
53 
54 

55 
56 
57 
58 
59 

60 

61 
62 
63 

64 

65 

66 

67 
68 

69 

70 

71 
72 

73 
74 

75 

76 
77 
78 
79 

80 

81 
82 

83 
84 

85 

86 

87 
88 
89 

90 


a  =  28°  30' 

60' 

A 


0   / 

0   / 

38  25 

1.2; 

^7   31 

39  13 

1.2S 

38   I 

40  0 

1.2S 

31 

47 

1.30 

39  3 

41  33 

1.30 

17 

42  19 

1.30 

40  II 

43  5 

1-33 

47 

50 

1.3", 

41  24 

44  35 

i.->b 

42  3 

45  19 

i.3(> 

44 

46  3 

1.40 

43  26 

46 

1.40 

44  9 

47  29 

1-43 

55 

48  II 

1-43 

45  42 

53 

1.46 

46  31 

49  34 

i.';o 

47  22 

50  14 

1-54 

48  14 

53 

1-54 

49  9 

51  32 

1.5S 

50  6 

52  10 

1.58 

51  5 

48 

1.67 

52  6 

53  24 

1. 71 

53  10 

59 

1. 71 

54  16 

54  34 

1.76 

55  24 

55  8 

1.88 

56  35 

40 

1.88 

57  48 

56  12 

2.00 

59  3 

42 

2.07 

60  21 

57  II 

2.14 

61  42 

39 

2.31 

63  5 

S8  5 

2.40 

64  31 

30 

2.50 

65  59 

54 

2-73 

67   29 

59  16 

2.86 

69  2 

Z7 

3-16 

70  38 

56 

3-33 

72  16 

60  14 

4.00 

71>   56 

29 

4.29 

75  37 

43 

4.62 

77   21 

56 

6.00 

79  6 

61  6 

6.67 

80  53 

15 

lO.O 

82  41 

21 

12.0 

84  30 

26 

20.0 

86  19 

29 

60.0 

88  9 

30 

90  0 

^       6 

A     ' 

rf  =  28°30' 


60' 


0.50 
.50 
•53 
•57 

•57 

0.60 
.62 
.65 
.68 
.70 

0.72 

•77 
.78 
.82 


0.87 
.92 

•95 
.9S 
1.02 

1.07 
1. 10 
1. 13 
i.iS 
1.22 

1.25 

1.30 

1-35 

1.38 

1-43 

1-47 
1.50 

'•55 
1.60 
1.63 

1.67 
1.68 

1-73 
1-75 
1.78 

1.80 
1.82 
1.82 
1.83 
1.85 


_A_ 
60/ 


a  =  29°0' 

6c/ 
A 


a  =  29°  30' 


38  12 
59 

39  46 

40  32 

41  18 

42  4 
49 

43  34 

44  18 

45  2 

46 

46  29 

47  II 
53 

48  34 

49  14 
54 

50  II 

51  12 

49 

52  26 

53  2 
37 

54  II 
44 

55  16 
47 

56  17 
46 

57  13 

39 

58  4 
27 

49 

59  9 

28 

45 

60  o 

14 
26 

36 
45 
51 
56 
59 

61  o 


1.94 
2.00 
2.07 
2.22 
2.31 

2.40 
2.61 

2-73 
3.00 
3.16 

3-53 
4.00 
4.29 
5.00 
6.00 

6.67 
lo.o 
12.0 
20.0 
60.0 


60' 

A 


38  5 
35 

39  6 
l^ 

40  II 

46 

41  22 

42  o 
39 

43  19 

44  I 
45 

45  30 

46  17 

47  6 

57 

48  50 

49  44 

50  41 

51  40 

=;2  41 

53  44 

54  49 

55  57 

57  7 

58  19 

59  34 

60  52 

62  12 

63  34 

64  58 

66  25 

67  54 
69  26 

71  o 

72  36 

74  14 

75  54 
77  36 
79  19 

81  4 

82  50 

84  36 
86  24 
88   12 

90     o 


_A_ 

ec/ 


0.50 
•52 

•53 

•55 
.58 

0.60 
.63 
.65 
.67 

.70 

0-73 
•75 
.78 
.82 


.90 

•95 
.98 

1.02 

1.05 
1.08 

'•13 

1. 17 
1.20 

1.25 

1.30 
'•33 
i^37 
1.40 

1-45 
1.48 

'•53 
'•57 
1.60 

1.63 
1.67 
1.70 

1.72 
'•75 

^•71 
'•77 
1.80 
1,80 
1.80 


ec/ 


1>7   59 

38  46 

39  32 

40  18 

41  4 

49 

42  34 

43  18 

44  2 
46 

45  29 

46  1 1 
53 

47  34 

48  15 

55 

49  34 

50  13 
51 

51  28 

52  4 
40 

53  14 
48 

54  21 

52 

55  23 
52 

56  20 

47 

57  13 
37 

58  o 
21 
41 

59  o 
17 

32 
45 
57 

60  7 

15 
22 
26 
29 

30 


0   / 

1.28 

38  40 

1.30 

39  10 

1.30 

41 

1.30 

40  13 

1.33 

46 

'•33 

41  21 

1.36 

57 

..36 

42  35 

1.36 

43  14 

1.40 

54 

1-43 

44  36 

'•43 

45  20 

1.46 

46  5 

..4^-^ 

52 

1.50 

47  41 

'•54 

48  32 

'•54 

49  25 

'.5S 

50  19 

1.62 

51  15 

1.67 

52  14 

1.67 

53  14 

1.76 

54  17 

..76 

55  22 

T.82 

56  29 

1.94 

57  39 

1.94 

58  SI 

2.07 

60  5 

2.14 

61  21 

2.22 

62  40 

2.31 

64  2 

2.  so 

65  25 

2.61 

66  51 

2.85 

68  19 

3.CX3 

69  49 

3.16 

71  22 

3-53 

72  56 

4.00 

74  33 

4.62 

■j6   II 

5.00 

77   51 

5.00 

79  32 

/•5o 

81  14 

8^57 

82  58 

'5-° 

84  43 

20.0 

86  28 

60.0 

88  14 

90  0 

d  =  29°0' 


-        & 

A    11 

(Z  =  29°30' 


60' 


0.5c 
52 
53 
55 

5« 
0.60 
M 
.65 
.67 
.70 

0.73 

•75 
.78 
.82 
.85 


.90 

•93 
.98 
1. 00 

1.05 
1.08 
1. 12 
1. 17 
1.20 


1.27 
'•32 
'•37 
1.38 

1.43 
'•47 
1.50 

'•55 
'•57 

1.62 

••63 
1.67 
1.68 
1.70 

'•73 
1.75 
'•75 
^•71 
1.77 


45 
44 
43 
42 
41 

40 

39 
38 
37 
36 

35 
34 
33 
32 
31 

30 

29 
28 
27 
26 

25 

24 
23 

22 
21 


19 
18 

17 
16 

15 
14 
13 
12 
II 

10 

9 
8 

7 
6 

5 

4 
3 

2 

I 


64.1 

633 
62.5 
61.7 
60.9 

60.0 

59^1 
58.2 
57-2 
56.3 

55-3 
54^3 
53-3 
52^2 

5I-I 

50.0 
48.8 
47.6 
46.4 
45-2 

43-9 
42.6 
41.2 
39-8 
38^4 

36.9 
35-4 
33-8 
32.2 
30.6 

28.9 
27.2 
25-5 
23^7 
21.8 

20.0 
18. 1 
16.2 
14.2 
12.2 

10.2 
8.2 
6.2 
4.1 
2.1 

0.0 


55901°— 18- 


-16 


Page  242]         1.732 


1.698 


Z664 


A 

0 

a  =  30°  0' 

a 

=  30°  30' 

a  =  31° 

0' 

c\ 

\  "■ 

6& 

A 

\  t 

A 
60' 

\  d 

60' 

A 

\   t 
Z\ 

A 
60' 

\ 
h 

d 
\ 

60' 

A 

\ 
Z 

< 

A 
60' 

A 

0    / 

0   / 

0     / 

0      / 

0 

/ 

c 

/ 

p 

0 

0 

0    0 

I. IS 

30   0 

0.00 

0    0 

1.15 

30  30 

0.00 

0 

0 

1. 18 

31 

0 

0.00 

90 

90.0 

I 

52 

1. 15 

0 

.02 

52 

1. 18 

30 

.02 

SI 

1.15 

0 

.02 

89 

89-5 

2 

I  44 

1. 15 

I 

.02 

I  43 

1. 15 

31 

.02 

I 

43 

1.18 

I 

.02 

88 

89.0 

3 

2  36 

1. 15 

2 

•03 

2  35 

1. 15 

32 

•03 

2 

34 

1. 15 

2 

•03 

^7 

88.5 

4 

3  28 

1. 15 

4 

.03 

3  27 

1. 18 

34 

.03 

3 

26 

1. 18 

4 

•03 

86 

88.0 

5 

4  20 

1. 15 

6 

0.03 

4  18 

1. 15 

3^ 

0.03 

4 

17 

1. 18 

6 

0.03 

^5 

ii-^ 

6 

5  12 

1. 15 

8 

•OS 

5  10 

1. 15 

38 

•05 

5 

8 

I. IS 

8 

.05 

84 

86.9 

7 

6    4 

1. 18 

II 

.07 

6     2 

1. 18 

41 

.07 

6 

0 

1. 18 

II 

.07 

83 

86.4 

8 

55 

1.15 

15 

.07 

Si 

1. 15 

45 

.07 

51 

LIS 

15 

.07 

82 

85-9 

9 

7  47 

1. 15 

19 

.07 

7  45 

1. 18 

49 

.07 

7 

43 

1. 18 

19 

.07 

81 

85-4 

10 

8  39 

1. 15 

23 

0.08 

8  36 

1.15 

53 

0.08 

8 

34 

1. 18 

23 

0.08 

80 

84.9 

11 

9  31 

1. 18 

28 

.08 

9  28 

1. 18 

58 

.08 

9 

25 

I.I8 

28 

.  10 

79 

84.4 

12 

10  22 

1. 15 

ZZ 

.10 

10  19 

1. 15 

31     3 

.10 

10 

16 

1. 18 

34 

.  lO 

78 

83.8 

13 

II    14 

1. 15 

39 

.10 

II   II 

1. 18 

9 

.12 

II 

7 

1. 18 

40 

.  10 

77 

833 

14 

12     6 

1. 18 

45 

.12 

12     2 

1. 18 

16 

.12 

58 

1. 18 

46 

.12 

76 

82.8 

15 

57 

1. 15 

52 

0.12 

53 

1. 18 

23 

0.12 

12 

49 

I.I8 

53 

0.13 

75 

82.3 

16 

13  49 

1. 18 

59 

.13 

13  44 

1. 18 

^? 

•13 

13 

40 

1. 18 

32 

I 

.13 

74 

81.7 

17 

14  40 

1. 18 

31     7 

•15 

14  35 

1. 18 

3! 

•13 

14 

31 

1,18 

9 

.13 

73 

81.2 

18 

15   31 

1. 15 

16 

.15 

15  26 

1. 18 

46 

•15 

15 

22 

1.20 

17 

•»5 

72 

80.6 

19 

16  23 

1. 18 

25 

.15 

16  17 

1. 18 

55 

•17 

16 

12 

i.rS 

26 

•17 

71 

80.1 

20 

17  14 

1. 18 

34 

0.17 

17     8 

1.18 

32     5 

0.17 

17 

3 

1.20 

36 

0.17 

70 

795 

21 

18     5 

1. 18 

44 

.18 

59 

1. 18 

15 

.18 

53 

1.18 

46 

.18 

69 

79.0 

22 

56 

1. 18 

55 

.18 

18  so 

1. 18 

26 

.18 

18 

44 

1. 20 

57 

.18 

68 

78.4 

23 

19  47 

1.20 

32     6 

.20 

19  41 

1.20 

37 

.20 

T9 

34 

1.20 

33 

8 

.20 

tl 

77.8 

24 

20  37 

1. 18 

18 

.20 

20  31 

1.20 

49 

.20 

20 

24 

1.20 

20 

.22 

66 

77^3 

25 

21   28 

1. 18 

30 

0.22 

21   21 

1.20 

33     I 

0.22 

21 

14 

1.20 

33 

0.22 

^5 

76,7 

26 

22  19 

1.20 

43 

.23 

22  II 

1.20 

14 

.23 

22 

4 

1.20 

46 

•23 

^4 

76.1 

27 

23     9 

1.20 

57 

.23 

23     I 

1.20 

28 

•23 

54 

1.20 

34 

0 

•23 

63 

75-5 

28 

59 

1.20 

33  II 

.25 

SI 

1.20 

42 

•25 

23 

44 

1.22 

14 

.25 

62 

74-9 

29 

24  49 

1,20 

26 

.25 

24  41 

1.20 

57 

.27 

24 

33 

1.20 

29 

.27 

61 

74-3 

30 

25  39 

1.20 

41 

0.28 

25  31 

1.20 

34  13 

0.28 

25 

23 

1.22 

45 

0.28 

60 

73-7 

31 

26  29 

1.20 

58 

.28 

26  21 

1.22 

30 

.28 

26 

12 

1.22 

35 

2 

.28 

^t 

730 

32 

27  19 

1.20 

34  15 

•30 

27  10 

1.22 

47 

•30 

27 

I 

1.22 

19 

•  30 

58 

72.4 

33 

28      Q 

1.22 

33 

.30 

59 

1.22 

35     5 

•32 

50 

1.22 

37 

•32 

57 

71.8 

34 

58 

1.22 

51 

.33 

28  48 

1,22 

24 

•  32 

28 

39 

1.25 

56 

•33 

56 

71. 1 

35 

29  47 

1.22 

35   II 

0.33 

29  37 

1.22 

.  43 

0.35 

29 

27 

1.25 

36 

16 

0-33 

55 

70.4 
69.8 

3b 

30  36 

1.22 

31 

.35 

30  26 

1.25 

36     4 

•  35 

30 

15 

1.25 

36 

.35 

54 

37 

31   25 

1.25 

52 

.37 

31    14 

1.25 

25 

•  37 

31 

3 

1.25 

57 

.38 

53 

69.1 

38 

32  13 

1.25 

36  14 

.38 

32     2 

1.25 

47 

.38 

51 

I.2S 

37 

20 

•38 

52 

68.4 

39 

33     I 

1.25 

17 

.38 

50 

1.25 

37  10 

.40 

32 

39 

1.28 

43 

.40 

51 

67.7 

40 

49 

1.25 

n   0 

0.42 

33  38 

1.28 

^i 

0.40 

33 

26 

1.28 

38 

7 

0.40 

50 

66.9 

41 

34  2>7 

1.25 

25 

.43 

34  25 

1.28 

„  58 

.43 

34 

13 

1.28 

31 

•43 

^t 

66.2 

42 

35  25 

1.28 

51 

.43 

35  12 

1.28 

38  24 

•45 

35 

0 

1.30 

57 

.45 

48 

65-4 

43 

36  12 

1.28 

38  17 

•47 

59 

1.28 

51 

•47 

46 

1.28 

39 

24 

•47 

^Z 

64.7 

44 

59 

1.28 

45 

.48 

36  46 

1.30 

39  19 

.48 

S6 

33 

1.30 

52 

.48 

46 

639 

45 

37  46 

39  14 

37  32 

48 

^7 

19 

40 

21 

45 

63.x 

60' 

6 

A 

6c/ 

A 

60' 

A 

t 

a 

T 

60' 

a 

A 

h 

6c/ 

a 

T 

b 

60' 

a 

rf  =  30°  0' 

rf  =  30°30' 

(?  =  31° 

0' 

I 

732 

1.698 

1.664 

[Page  243 

\ 

a  =  SO°0' 

a  -  30°  30' 

a  =  31°0' 

\\ 

\  * 

\ 

d 

60' 

\   ^ 

A 

\<i 

60' 

\  t 

A 

\ 

d 

60' 

\    i 

_A 

\ 

*\ 

h 

\ 

A 

z\ 

60' 

/t  \ 

A 

z\ 

60' 

h 

\ 

A 

Z\ 

60' 

A 

P\ 

o 

0 

y 

0      / 

0     / 

0     A 

0 

/ 

0     / 

0 

45 

}7 

46 

1.30 

39  14 

0.^0 

H  H 

1.30 

39  48 

0.50 

37 

19 

^•33 

40  21 

0.52 

45 

63.1 

.;o 

38 

^0 

1.30 

44 

•5- 

38  18 

1.30 

40  18 

•52 

38 

4 

1-33 

52 

•52 

44 

62.3 

47 

39 

18 

r.30 

40  15 

.53 

39   4 

1-33 

49 

•53 

49 

'•33 

41  23 

•53 

43 

61.4 

48 

40 

4 

1-33 

47 

•57 

49 

1-33 

41    21 

•57 

39 

34 

'•33 

55 

•57 

42 

60.6 

49 

49 

1.33 

41   21 

.58 

40  34 

1.36 

55 

.58 

40 

19 

1.36 

42  29 

.58 

41 

597 

50 

41 

3^ 

1.36 

56 

0.60 

41  18 

1.36 

42  30 

0.60 

41 

3 

1.40 

43     4 

0.60 

40 

58.8 

51 

42 

18 

1.36 

42  32 

.63 

42    2 

1.36 

43     6 

.63 

46 

1.40 

40 

.63 

39 

57-9 

52 

43 

2 

1.36 

43   10 

.6c 

46 

1.40 

44 

.65 

42 

29 

1.40 

44  18 

.65 

38 

57-0 

53 

46 

1.40 

49 

.67 

43  29 

1.40 

44  23 

.68 

43 

12 

1.43 

57 

.68 

37 

56.0 

54 

44 

29 

1-43 

44  29 

.70 

44  12 

1,43 

45     4 

.70 

54 

1.43 

45  38 

.70 

36 

55-1 

55 

45 

II 

1.43 

45   II 

0.73 

54 

1.46 

46 

0.73 

44 

36 

1.46 

46  20 

^•73 

35 

54-1 

5& 

53 

'•43 

^  55 

•75 

45  35 

1.46 

46  30 

•75 

45 

17 

1.46 

47     4 

•75 

34 

530 

57 

46 

35 

1.46 

46  40 

.78 

46  16 

1.^(1 

47   15 

•78 

58 

1.50 

49 

•77 

33 

52.0 

58 

47 

16 

1.50 

47  27 

.82 

57 

1.50 

48     2 

.80 

46  38 

1.54 

48  35 

.82 

32 

50.9 

59 

56 

1.50 

48  16 

.83 

47  37 

I.S4 

50 

•83 

47 

17 

1.54 

49  24 

.83 

31 

49.8 

60 

48  36 

1. 54 

49     6 

0.88 

48  16 

1.58 

49  40 

o.SS 

56 

1.58 

50  14 

0.87 

30 

48.7 

61 

49 

15 

1.58 

59 

.90 

54 

1.58 

50  3Z 

.90 

48 

34 

1.62 

51     6 

.90 

29 

47-5 

62 

53 

1.62 

50  53 

•93 

49  32 

1.62 

51   27 

•93 

49 

II 

1.62 

52     0 

.93 

28 

46-3 

P 

50 

30 

1.62 

51  49 

.9S 

50   9 

1.67 

52  23 

•97 

48 

1.67 

56 

•95 

27 

45-1 

64 

51 

7 

1.67 

52  48 

1. 00 

45 

1. 71 

53  21 

1. 00 

50 

24 

1. 71 

53  53 

1. 00 

26 

43-9 

65 

43 

1.71 

53  48 

1.03 

51  20 

1. 71 

54  21 

1.03 

59 

1.76 

54  53 

1.03 

25 

42.6 

66 

52 

18 

1.76 

54  50 

1.08 

55 

1.76 

55  23 

1.07 

51 

33 

1.82 

55  55 

1.05 

24 

41-3 

67 

52 

1.82 

55  55 

I.IO 

52  29 

1.88 

56  27 

I.IO 

52 

6 

1.88 

56  58 

1.08 

23 

39-9 

68 

53 

25 

1.88 

5^     ' 

1. 15 

53    I 

1.88 

57  ii 

1.13 

38 

1.94 

58     3 

I.I3 

22 

38.  s 

60 

57 

1.94 

58  10 

1. 18 

33 

1.94 

58  41 

1. 18 

53 

9 

2.00 

59  II 

1. 17 

21 

37-1 

70 

54 

28 

2.00 

59  21 

1.23 

54     4 

2.07 

59  52 

1.20 

39 

2.07 

60  21 

1.20 

20 

35-6 

71 

58 

2.07 

60  35 

1.27 

33 

2.07 

61     4 

1.25 

54 

8 

2.14 

61  zz 

1.23 

19 

34-2 

72 

55 

27 

2.14 

61   51 

1.3c 

55     2 

2.22 

62  19 

1.28 

36 

2.22 

62  47 

1.27 

18 

32.6 

73 

55 

2.31 

63     9 

1-33 

29 

2-3I 

63  36 

1.32 

55 

3 

2.31 

64     3 

1.30 

17 

31- 1 

74 

56 

21 

2.40 

64  29 

1-37 

55 

2.40 

64  55 

1-37 

29 

2.50 

65  21 

I.3S 

16 

295 

75 

46 

2.50 

^5  51 

1.42 

56  20 

2.61 

66  17 

1.38 

53 

2.61 

66  42 

1-37 

15 

27.8 

76 

57 

10 

2.61 

67  16 

1-45 

43 

2.73 

67  40 

'•43 

56 

16 

2-73 

68     4 

1.42 

14 

26.2 

77 

33 

2.86 

68  43 

1.48 

57     5 

2.86 

69     6 

1.45 

38 

3.00 

69  29 

1.43 

13 

24-5 

78 

54 

3.16 

70  12 

1.52 

26 

3.16 

70  iZ 

1.50 

58 

3.. 6 

70  55 

1.47 

12 

22.7 

79 

58 

13 

3-33 

71  43 

1.55 

45 

3^33 

72     3 

1.52 

57 

17 

3.33 

72  23 

1.50 

II 

21.0 

80 

3^ 

3-53 

73  16 

1-57 

58     3 

3-75 

71  34 

1-55 

35 

3.75 

73  53 

1.52 

10 

19.2 

81 

48 

4.00 

74  50 

1.62 

19 

4.00 

75     7 

1.58 

51 

4.29 

75  24 

'•55 

9 

173 

82 

59 

3 

4.62 

76  27 

1.63 

34 

4.62 

76  42 

1.60 

58 

5 

4.62 

7^  57 

1.58 

8 

15-5 

P 

16 

5.00 

78     5 

1.6s 

47 

5-45 

78  18 

1.63 

18 

5-45 

78  32 

1. 60 

7 

13.6 

84 

28 

6.00 

79  44 

1.68 

58 

6.00 

79  56 

1.65 

29 

6.67 

80     8 

1.62 

6 

11.7 

85 

^l 

7.50 

81   25 

r.70 

59     8 

7.50 

81   35 

1.67 

38 

7.50 

81  45 

1.63 

5 

9.8 

86 

46 

1 0.0 

P     7 

1.70 

16 

lO.O 

83  15 

1.67 

46 

lO.O 

83  23 

1.63 

4 

7.8 

87 

53 

15.0 

84  49 

1.72 

22 

iS.c 

84  55 

1,68 

52 

15.0 

85     I 

1.65 

3 

5-9 

88 

56 

20.0 

86  32 

1-73 

26 

20.0 

86  ^6 

1.70 

56 

20.0 

86  40 

1.67 

2 

3-9 

89 

59 

60.0 

88   16 

1-73 

29 

60.0 

88  18 

1.70 

59 

60.0 

88  20 

1.67 

I 

2.0 

90 

60 

0 

90     0 

30 

90     0 

59 

0 

90     0 

0 

0.0 

a 

60' 

6 

A 

a 

60' 

& 

A 

a 

60' 

h 

A 

0, 

/ 

A 

60' 

A 

60' 

A 

60' 

rf  =  30°0' 

d  =  30°  SCK 

d  =  Z\°Q' 

Page  244] 

I 

.632 

i.( 

5oo 

1-570 

'^ 

a  =  3^30' 

a  =  32°0' 

a  =  32°  30' 

X 

V 

6(/ 
A 

_A_ 
60/ 

\  d 

6(y 

A 

A 

60' 

6c/ 
A 

\*    A 
Z  \  6(y 

'\ 

o 

o        / 

0    / 

0    / 

0     / 

0    / 

0       /  ! 

0 

0 

0 

O      O 

1. 18 

31  30 

0.00 

0    0 

1. 18 

32     0 

0.00 

0    0 

1. 18 

32    30 

0.00 

90 

90.0 

I 

51 

1. 18 

30 

.02 

51 

1. 18 

0 

.02 

51 

1.20 

30 

.02 

1% 

f?-5 

2 

I    42 

1.(5 

31 

.02 

I  42 

1. 18 

I 

.02 

I  41 

1. 18 

31 

.02 

88 

88.9 

3 

2  34 

i.i8 

32 

•03 

2  zi, 

1.20 

2 

.03 

2  32 

1.20 

32 

.03 

ll 

88.4 

4 

3  25 

1,18 

34 

.03 

3  23 

1. 18 

4 

.03 

3  22 

1. 18 

34 

•03 

86 

87.9 

5 

4  i6 

1. 18 

36 

0.03 

4  14 

1,18 

6 

0.03 

4  13 

1.20 

36 

0.05 

85 

87-3 

6 

5     7 

1. 18 

38 

.05 

5     5 

1,18 

8 

•05 

5     3 

1. 18 

39 

•05 

§4 

86.8 

7 

.  58 

1. 18 

41 

.07 

.  56 

1. 18 

II 

.07 

54 

1.20 

42 

•05 

^3 

86.3 

8 

6  49 

1,18 

45 

.07 

6  47 

1.20 

15 

.07 

6  44 

1. 18 

45 

.07 

82 

857 

9 

7  40 

1. 18 

49 

.08 

7  37 

i.i8 

19 

.08 

7  35 

1.20 

49 

.08 

81 

85.2 

10 

8  31 

1. 18 

54 

0.08 

8  28 

1. 18 

24 

0.08 

8  25 

1. 18 

54 

0.08 

80 

84.7 

1 1 

9  22 

1. 18 

59 

.08 

9  19 

1.20 

29 

.08 

9  16 

1.20 

59 

.10 

79 

l^l 

12 

10  13 

1. 18 

32     4 

.10 

10     9 

1. 18 

34 

.10 

10     6 

1.20 

33     5 

.10 

78 

83.6 

13 

II     4 

1.20 

10 

.12 

II     0 

1.20 

40 

.12 

56 

1.20 

II 

.10 

77 

83.0 

14 

54 

1. 18 

17 

.12 

50 

i.i8 

47 

.12 

II  46 

1.20 

17 

.12 

76 

82.S 

IS 

12  45 

1. 18 

24 

0.12 

12  41 

1.20 

54 

0.13 

12  36 

1.20 

24 

0.13 

75 

81.9 

i6 

13  36 

1.20 

31 

.13 

13  31 

1.20 

33     2 

.13 

13  26 

1.20 

32 

•'3 

74 

81.4 

17 

14  26 

1. 18 

39 

•15 

14  21 

1. 18 

10 

•13 

14  16 

1.20 

40 

•15 

73 

80.8 

i8 

IS   17 

1.20 

48 

•  15 

15   12 

1.20 

18 

•15 

15     6 

1. 20 

49 

•15 

72 

80.2 

19 

16     7 

1.20 

57 

•17 

16     2 

1.20 

27 

•17 

56 

1.20 

58 

•17 

71 

79-7 

20 

57 

1.20 

33     7 

0,17 

52 

1.20 

37 

0.18 

16  46 

1.20 

34     8 

0.18 

70 

79.1 

21 

17  47 

1.20 

17 

.18 

17  42 

1.22 

48 

.18 

17  36 

1.22 

19 

.18 

69 

78.5 

22 

18  37 

1.20 

28 

.18 

18  31 

1.20 

59 

.18 

18  25 

1.22 

30 

.18 

68 

77-9 

23 

19  27 

1.20 

39 

.20 

19  21 

1.20 

34  10 

.20 

19  14 

1.20 

41 

.20 

^Z 

77^3 

24 

20  17 

1.20 

51 

,22 

20  II 

1.22 

22 

.22 

20     4 

1.22 

53 

.22 

66 

76.7 

25 

21     7 

1.20 

34     4 

0.22 

21     0 

1.22 

35 

0.22 

53 

1.22 

35     6 

0.23 

^5 

76.1 

26 

57 

1.20 

17 

•23 

49 

1.22 

48 

.23 

21  42 

r.22 

20 

.23 

^J 

75-5 

27 

22  47 

1.22 

3J 

.25 

22  38 

1.22 

35     2 

.25 

22  31 

1.22 

34 

•25 

63 

74-9 

28 

23  36 

1.22 

46 

.25 

23  27 

1.22 

17 

.27 

23  20 

1. 25 

49 

•25 

62 

74-3 

29 

24  25 

1.22 

35     I 

•27 

24  16 

1.22 

33 

.27 

24     8 

1.22 

36     4 

.27 

61 

73-6 

30 

25  14 

1.22 

17 

0.28 

25     5 

1.22 

49 

0.28 

57 

1.25 

20 

0,28 

60 

730 

31 

26     3 

1.22 

34 

.28 

.  54 

I.2S 

36     6 

.28 

25  45 

1.25 

37 

.30 

5g 

723 

32 

52 

1.25 

^  51 

.30 

26  42 

1.25 

23 

.30 

26  33 

1.25 

55 

•30 

58 

71.7 

33 

27  40 

1.22 

l&     9 

•  32 

^l  ^2 

1.25 

41 

•  32 

27  21 

1.28 

37   13 

•32 

5? 

71.0 

34 

28  29 

1.25 

28 

•33 

28  18 

1.25 

37     0 

•33 

28     8 

1.25 

32 

•33 

56 

70-3 

35 

29  17 

1.25 

48 

0.35 

29     6 

1.25 

20 

o^35 

56 

1.28 

52 

^•35 

55 

69.6 

36 

30     5 

1.25 

37     9 

•35 

54 

1.28 

41 

•35 

29  43 

1.28 

38  13 

•37 

54 

68.9 

■h7 

53 

1.28 

30 

.37 

30  41 

1.28 

38     2 

.38 

30  30 

1.28 

35 

•37 

53 

68.2 

38 

31  40 

1.28 

52 

•  38 

31   28 

1.28 

25 

•  38 

31    17 

1.28 

57 

.40 

52 

675 

39 

32  27 

1.28 

38  15 

.40 

32  15 

1.28 

48 

•40 

32     4 

1.30 

39  21 

.40 

51 

66.8 

40 

33   14 

1.28 

39 

0.43 

33     2 

1.30 

39  12 

0.42 

55 

1.30 

45 

0.42 

50 

66.0 

41 

34     I 

1.30 

39     5 

•43 

48 

1.30 

37 

•45 

33  36 

1.30 

40  10 

•43 

49 

65.3 

42 

47 

1.30 

^l 

•45 

34  34 

1.30 

40     4 

•45 

34  22 

'•33 

36 

•47 

48 

64-5 

43 

35  33 

1.30 

58 

•  47 

35  20 

1.30 

31 

•47 

35     7 

1.33 

41     4 

•47 

47 

637 

44 

36  19 

1.30 

40  26 

.48 

36     6 

'•33 

59 

•48 

52 

'•33 

32 

.48 

46 

62.9 

45 

37      5 

55 

51 

41   28 

36  37 

42     I 

45 

62.1 

a 

(xy 

h 

A 

a 

60' 

6 

A_ 

a 

60' 

b 

A_ 

a 

i 

A 

6cy 

A 

60' 

A 

6& 

c 

?  =  31*30' 

d^22°Q' 

c 

?  =  32''30' 

I 

632 

1.600 

1-570 

Tag 

b245 

\ 

a  =  3r  SC 

a  =  32°0' 

a  =  32°  30' 

\  ^ 

\  * 

\ 

d 

oo' 

\  t 

A 

x^ 

d 

60/ 

\  i 

A 

X 

d 

60' 

\  t 

A 

A 

A 

/> 

\ 

A 

Z\ 

60' 

aX^ 

A 

Z\ 

60' 

r 

\ 

A 

Z\ 

6(/ 

\ 

o 

0 

/ 

0     / 

0 

/ 

0     / 

0 

/ 

0     / 

0 

45 

37 

5 

1-33 

40  55 

0.50 

36 

51 

1-33 

41  28 

0.50 

36 

37 

1.36 

42     1 

0.50 

45 

62.1 

41. 

50 

1-33 

41  25 

•52 

37 

36 

1.36 

58 

•53 

37 

21 

1.36 

31 

•53 

44 

61.2 

47 

38 

35 

1.^6 

56 

•55 

38 

20 

,.36 

42  30 

•S3 

38 

5 

1.36 

43     3 

•55 

43 

60.4 

48 

39 

19 

1.36 

42  29 

•57 

39 

4 

1.36 

43     2 

•57 

49 

1.40 

36 

•57 

42 

59-5 

49 

40 

3 

..36 

43     3 

•58 

48 

1.40 

36 

•58 

39 

32 

1.40 

44  10 

.58 

41 

58.6 

50 

47 

1.40 

38 

0.60 

40 

31 

1.40 

44  II 

0.62 

40 

15 

1.43 

45 

0.60 

40 

^11 

51 

41 

30 

1.40 

44  14 

.63 

41 

14 

«-43 

48 

.63 

57 

••43 

45  21 

•63 

32 

56.8 

52 

42 

13 

1-43 

52 

.6^ 

56 

1.43 

45  26 

.65 

41 

39 

1.43 

59 

.65 

38 

55-9 

53 

55 

1.43 

45  31 

.68 

42 

38 

1.46 

46     5 

•  67 

42 

21 

1.46 

46  38 

.67 

^l 

54-9 

54 

43 

37 

1.46 

46  12 

.70 

43 

19 

1.46 

45 

.70 

43 

2 

1.50 

47  18 

.70 

36 

53-9 

55 

44 

18 

1.46 

54 

0.72 

44 

0 

1.50 

47  27 

0.72 

42 

1.50 

48     0 

0.72 

35 

52-9 

';6 

59 

1.50 

47  17 

•75 

40 

1.50 

48  10 

•75 

44 

22 

'•54 

43 

•75 

34 

518 

57 

45 

39 

1.50 

48  22 

.78 

45 

20 

••54 

55 

.78 

45 

I 

'•54 

49  28 

•78 

33 

508 

58 

46 

19 

1-54 

49     9 

.80 

59 

'•54 

49  42 

.80 

40 

'•58 

50  15 

.80 

32 

49-7 

59 

58 

1.58 

57 

.83 

46  38 

1.58 

50  30 

•83 

46 

18 

1.62 

51      3 

•83 

31 

48.6 

60 

47 

36 

1.62 

50  47 

0.87 

47 

16 

1.62 

51   20 

0.87 

55 

1.62 

53 

0.8  <; 

30 

47^5 

61 

48 

13 

1.62 

51   39 

.9c 

53 

..67 

52   12 

.88 

47 

32 

..67 

52  44 

.88 

29 
28 

46.3 

62 

50 

1.67 

52  iz 

.92 

48 

29 

1.67 

53     5 

.92 

48 

8 

1.71 

53  37 

.92 

45-1 

63 

49 

26 

1.71 

53  28 

•95 

49 

5 

1. 71 

54     0 

•95 

43 

1.76 

54  32 

•93 

11 

43-9 

64 

50 

I 

1. 71 

54  25 

.98 

40 

1.76 

57 

.98 

49 

17 

..76 

55  28 

•97 

26 

42.6 

65 

36 

1.76 

5  5  24 

1.03 

50 

M 

1.82 

55  56 

1. 00 

51 

1.82 

56  26 

1. 02 

25 

4i^3 

60 

51 

10 

1.88 

56  26 

1.05 

47 

1.88 

56  56 

1.05 

50 

24 

1.88 

57  27 

1.03 

24 

40.0 

67 

42 

1.88 

57  29 

1.08 

51 

19 

1.94 

57  59 

1.08 

56 

1.94 

58  29 

1.07 

23 

38.7 

68 

52 

14 

1.94 

58  34 

1. 12 

50 

1.94 

59     4 

1. 10 

51 

27 

2.07 

59  33 

1. 10 

22 

37.3 

69 

45 

2.00 

59  41 

1. 15 

52 

21 

2.07 

60  10 

'•«3 

56 

2.07 

60  39 

1. 12 

21 

359 

70 

53 

15 

2.07 

60  50 

1. 18 

50 

2.14 

61    18 

1. 18 

52 

25 

2.14 

61  46 

1. 17 

20 

34^S 

71 

44 

2.22 

62     I 

1.22 

53 

18 

2.22 

62  29 

1.20 

53 

2.22 

62  56 

1.20 

19 
18 

33^0 

72 

54 

II 

2.22 

63  14 

1.27 

45 

2.31 

63  41 

1.25 

53 

20 

2.3' 

64     8 

1.22 

315 

73 

38 

2.40 

64  30 

1.28 

54 

1 1 

2.40 

64  56 

1.27 

46 

2.50 

65  21 

1.25 

17 
16 

30.0 

74 

55 

3 

2.50 

65  47 

'•32 

36 

2.50 

66  12 

1.30 

54 

10 

2.61 

66  36 

1.28 

28.4 

75 

27 

2.61 

67     6 

1-35 

55 

0 

2-73 

67  30 

1-33 

33 

2.73 

67  S3 

1.32 

15 

26.8 

76 

50 

2.86 

68  27 

1.38 

22 

2.86 

68  50 

'•37 

SS 

2.86 

69  12 

'•35 

14 

25.2 

77 

56 

II 

3.00 

69  50 

1.42 

43 

3.00 

70  12 

1.40 

55 

16 

3.. 6 

70  33 

1.38 

13 

23^5 

78 

31 

3.33 

71   15 

1.45 

56 

3 

3^33 

71   36 

1.42 

35 

3^33 

71   56 

1.40 

12 

21.9 

79 

49 

3-53 

72  42 

1.48 

21 

3^53 

73     I 

'•45 

S3 

3^53 

73  20 

1.42 

1 1 

20.1 

80 

57 

6 

3-75 

74  II 

1.50 

38 

4-00 

74  28 

1.48 

56 

10 

4.00 

74  45 

'•45 

10 

18.4 
16.6 

81 

22 

4.29 

75  41 

1.52 

53 

4.29 

75   57 

1.50 

25 

4.62 

76  12 

1.48 

9 
8 

82 

36 

4.62 

77  12 

1.55 

57 

7 

5.00 

77  27 

1.52 

38 

5.00 

77  41 

1.48 

14.9 

83 

49 

5-45 

78  45 

'•57 

19 

5-45 

78  58 

1.53 

50 

5-45 

79  10 

1.52 

7 
6 

13- 0 

84 

58 

0 

6.67 

80  19 

1.58 

30 

6.67 

80  30 

1-57 

57 

I 

6.67 

80  41 

'•S3 

11.2 

85 

9 

8.57 

81    54 

1.60 

39 

7.50 

82     4 

••57 

10 

8^57 

82  13 

'•53 

5 

9.4 

80 

16 

1 0.0 

83  30 

1.62 

47 

10.0 

83  38 

1.58 

17 

lO.O 

83  45 

'•55 

4 

7-5 

87 

22 

12.0 

85     7 

1.62 

53 

15.0 

85   13 

1.58 

23 

15.0 

85   18 

'•57 

3 

H 

88 

27 

30.0 

86  44 

1.63 

57 

30.0 

86  48 

1.60 

27 

30.0 

86  52 

'•57 

2 

3.8 

89 

29 

60.0 

88  22 

1.63 

59 

60.0 

88  24 

1.60 

29 

60.0 

88  26 

'•57 

I 

19 

90 

30 

90     0 

58 

0 

90     0 

30 

90     0 

0 

0.0 

a 

ecy 

b 

_A_ 

a 

6c/ 

& 

A 

a 

Co' 

b 

A 

a 

t 

A 

fo' 

A 

60' 

^ 

6ry 

^  =  31°  30' 

d=^22°0' 

r/  =  32°30' 

Page  246]  i  54° 


1.483 


K 

o  =  33°0' 

a  =  33°  30' 

a  =  34°  0' 

\- 

\  * 

\  <i 

60' 

\  ^ 

A 

\  d 

60' 

\  < 

A 

\  d 

60/ 

\  t 

A 

\ 

\ 

^\ 

A  \ 

A 

Z\ 

60' 

h\ 

A 

Z\ 

60' 

h\ 

A 

z\ 

6cy 

0 

fi\ 

0 

0    / 

0     / 

0    / 

0     / 

0    / 

0      / 

0 

0 

0    0 

t.20 

33     0 

0.00 

0    0 

1.20 

33  3^ 

0.00 

0    0 

1.20 

34     0 

0.0c 

90 

90.0 

I 

50 

I. 18 

0 

.02 

50 

1.20 

30 

.02 

50 

1.22 

0 

.02 

8q 

89.4 

2 

I  41 

1.20 

I 

.02 

I  40 

1.20 

31 

.02 

I   39 

1.20 

I 

.02 

88 

88.9 

3 

2  31 

1.20 

2 

.03 

2  30 

1.20 

32 

•03 

2  29 

1.20 

2 

.03 

ll 

88.3 

4 

3  21 

I. 18 

4 

.03 

3  20 

1.20 

34 

•03 

3  19 

1.20 

4 

•03 

87.8 

5 

4  12 

1.20 

6 

0.05 

4  10 

1.20 

36 

0.05 

4     9 

1.22 

6 

0.05 

85 

87.2 

6 

5     2 

1.20 

9 

.05 

5     0 

1.20 

39 

.05 

58 

1.20 

9 

.05 

84 

86.7 

7 

.  52 

1.20 

12 

.05 

50 

1.20 

42 

.07 

5  48 

1.20 

12 

.07 

83 

86.1 

8 

6  42 

1.20 

15 

.07 

6  40 

1.20 

46 

.07 

6  38 

1.22 

16 

.07 

82 

85.6 

9 

7  32 

1.20 

19 

.08 

7  30 

1.20 

SO 

.07 

7  27 

1.20 

20 

.08 

81 

85.0 

10 

8  22 

1.20 

24 

0.08 

8  20 

1.22 

54 

0.08 

8  17 

1.22 

25 

0.08 

80 

84.4 

1 1 

9  12 

1.20 

29 

.10 

9     9 

1.20 

59 

.10 

9     6 

1.20 

30 

.08 

79 

839 

12 

10     2 

1.20 

35 

.10 

59 

1.20 

34     5 

.10 

56 

1.22 

35 

.10 

78 

83.3 

13 

52 

1.20 

41 

.12 

10  40 

1.22 

II 

.12 

10  45 

1.22 

41 

.12 

77 

82.7 

14 

II  42 

1.20 

48 

.12 

II   3« 

1.20 

18 

.12 

II   34 

1.22 

48 

•  13 

76 

82.2 

15 

12  32 

1.20 

55 

0-13 

12  28 

1.22 

25 

0.13 

12  23 

1.20 

56 

0.13 

75 

81.6 

16 

13  22 

I. 20 

34     3 

•13 

13   17 

1.20 

33 

•13 

13   13 

1.22 

35     4 

•  13 

74 

81.0 

17 

14  12 

1.22 

II 

•15 

14     7 

1.22 

41 

•15 

14     2 

1.22 

12 

•  15 

73 

80.4 

18 

IS     I 

1.20 

20 

•15 

56 

1.22 

50 

•17 

51 

1.22 

21 

•IS 

72 

79-8 

19 

51 

1.22 

29 

••7 

15  45 

1.22 

35     0 

•17 

15  40 

r.25 

30 

•  17 

71 

79.2 

20 

16  40 

1.22 

39 

0.17 

16  34 

1.22 

10 

0.17 

16  28 

1.22 

40 

0.18 

70 

78.6 

21 

17  29 

1.20 

49 

.18 

17  23 

1.22 

20 

.18 

17   17 

1.22 

51 

.18 

69 

78.0 

22 

18  19 

1.22 

35     0 

.20 

18  12 

1.22 

31 

.20 

18     6 

1.25 

36     2 

.20 

68 

77-4 

23 

19     8 

1.22 

12 

.20 

19     I 

1.22 

43 

.20 

54 

1.25 

14 

.20 

67 

76.8 

24 

57 

1.22 

24 

.22 

50 

1.25 

55 

.22 

19  42 

1.25 

26 

.22 

66 

76.2 

25 

20  46 

1.25 

37 

0.23 

20  38 

1.22 

36     8 

0.23 

20  30 

1.25 

39 

0.23 

65 

75-6 

20 

21   34 

1.22 

,  51 

•23 

21   27 

1.25 

22 

•23 

21    18 

1.25 

53 

.25 

64 

74-9 

27 

22  23 

I. 25 

36     5 

•25 

22  15 

1.25 

3(> 

.25 

22     6 

1.25 

37     8 

.25 

63 

74-3 

28 

23   II 

1.25 

20 

•27 

23     3 

1.25 

51 

.27 

54 

1.25 

23 

.25 

62 

73-6 

29 

59 

1.25 

36 

.27 

51 

1.25 

37     7 

.27 

23  42 

1.28 

38 

.28 

61 

73-0 

30 

24  47 

1. 25 

52 

0.28 

24  39 

1,28 

23 

0.28 

24  29 

1.28 

55 

0.28 

60 

723 

31 

25  35 

1.25 

37     9 

•30 

25  26 

1.28 

40 

•30 

25   16 

1.28 

38  12 

.30 

59 

71.7 

32 

26  23 

1.25 

27 

.30 

26  13 

1. 28 

58 

•32 

26     3 

1.28 

30 

•32 

58 

71.0 

33 

27  II 

1.28 

0  45 

.32 

27     0 

1.28 

38  17 

•32 

50 

1.28 

49 

.32 

57 

703 

34 

58 

1.28 

38     4 

•33 

47 

1.28 

36 

.33 

27  37 

1.28 

39     8 

•33 

56 

69.6 

35 

28  45 

1.28 

24 

0-35 

28  34 

1.28 

56 

o^35 

28  24 

1.30 

28 

0-35 

55 

66.9 

30 

29  32 

J. 28 

45 

•37 

29  21 

1.30 

39  17 

.37 

29  10 

1.30 

49 

•37 

34 

68.1 

17 

30  19 

1.30 

39     7 

.38 

30     7 

1.30 

39 

.38 

56 

1.30 

40  II 

•38 

53 

^l-^ 

38 

31     5 

1.30 

30 

.38 

53 

1.30 

40     2 

•38 

30  42 

'•33 

34 

.38 

52 

66.7 

39 

51 

1.30 

53 

.40 

31   39 

1.30 

25 

•42 

31   27 

'•33 

57 

.42 

51 

6S9 

40 

32  Z7 

1.30 

40  17 

0-43 

32  25 

1-33 

50 

0.42 

32  12 

1^33 

41   22 

0.42 

50 

65.2 

41 

33  23 

1-33 

43 

•43 

33   10 

'•33 

41   15 

•43 

57 

^•33 

47 

•45 

49 

^^.1 

42 

34     8 

1-33 

41     9 

•45 

55 

1.33 

41 

•47 

33  42 

1.36 

42  14 

•45 

48 

43 

53 

1-33 

36 

.48 

34  40 

1.36 

42     9 

•47 

34  26 

1.36 

41 

.48 

47 

62.8 

44 

35  38 

1.36 

42     5 

.48 

35  24 

1.36 

37 

.48 

35   10 

1.40 

43   10 

.48 

46 

61.9 

45 

36  22 

34 

36     8 

43     6 

53 

39 

45 

61. 1 

a 

60' 

6 

A 

a 

60' 

h 

_A^ 

a 

6c/ 

h 

A 

a 

t 

A 

6c/ 

A 

6c/ 

A 

60/ 

d 

=  33°  0' 

d 

=  33°  30' 

^  =  34°  0' 

1.540 


1.5" 


1.483 


[Page  247 


4.S 

46 
47 

48 
49 

50 

51 
52 
53 
54 

55 

^7 
q8 

59 

60 

61 
62 
63 
64 

65 

66 

67 
68 
69 

70 

71 
72 

73 
74 

75 


78 

79 

80 

81 
82 
^3 
S4 

85 

80 

87 
88 
89 

90 


a  =  33°  0' 

A 


0   / 

0  / 

^^6  22 

,.36 

42  34 

^7  6 

1.36 

43  4 

50 

1.40 

36 

38  33 

r.40 

44  9 

39  16 

1.40 

43 

59 

I  43 

45  18 

40  41 

1.46 

54 

41  22 

1.46 

46  32 

42  3 

1.46 

47  II 

44 

1.50 

SI 

43  24 

1.54 

48  33 

44  3 

1.54 

49  16 

42 

1.58 

50  I 

45  20 

..s« 

47 

58 

1.62 

SI  35 

46  35 

..67 

52  24 

47  II 

1.71 

53  15 

46 

1. 71 

54  8 

48  21 

1.76 

55  3 

55 

i.8z 

59 

19  28 

1.82 

56  57 

50  I 

'•94 

57  57 

32 

2.00 

58  58 

51  2 

2.00 

60  I 

32 

2.0T 

61  6 

•^2       I 

2.22 

62  13 

28 

231 

63  22 

54 

2.40 

64  33 

53  19 

2.50 

65  40 

43 

2.61 

67  0 

54  6 

1-73 

08  16 

28 

3. CO 

(^9   34 

48 

3.16 

70  54 

55  7 

3-33 

72  I  K 

25 

3-7S 

73   38 

41 

4.0c 

75  2 

56 

4.62 

76   27 

56  9 

5.00 

77   54 

21 

6.00 

79  22 

31 

6.67 

80  51 

40 

8.57 

82  21 

47 

lO.O 

83  52 

53 

15.0 

85  23 

57 

30.0 

86  55 

59 

60.0 

88  27 

57  0 

QO   0 

_A 
60' 


0.50 
■53 
■55 
•57 
58 

o,  60 
^6j 
,65 
.67 

.70 

0.72 
•75 
•77 
,8c 
.82 

0,85 
,88 
.92 
.93 
•97 


■23 


0  =  33°  30' 


A 


6o_' 
A 


Co' 


9       1 

0   / 

36  8 

..36 

43  6 

52 

1.40 

37 

37  35 

1.40 

44  8 

38  18 

I  43 

41 

39  0 

1-43 

45  15 

42 

1.43 

50 

40  24 

1.46 

46  27 

41  5 

1.50 

47  4 

45 

1.50 

43 

42  25 

I  50 

48  23 

43  5 

1-54 

49  5 

44 

I  58 

48 

44  22 

1.58 

50  33 

45  0 

1.62 

51  19 

n 

1,62 

52  7 

46  14 

..67 

56 

so 

1. 71 

53  47 

47  25 

..76 

54  39 

59 

1.76 

55  33 

48  33 

1.88 

56  20 

49   5 

1.88 

57  26 

37 

1-94 

58  26 

50  8 

2.00 

59  -^7 

38 

2,07 

60  30 

51  7 

2.14 

61  34 

35 

2.22 

62  40 

^z     2 

2.31 

63  48 

28 

2.40 

64  58 

53 

2.i;o 

66  10 

S3  17 

2^73 

67  24 

39 

^•73 

68  39 

54  I 

3.00 

69  55 

21 

3-33 

71  14 

39 

3-53 

72  34 

56 

3-75 

73   55 

55  12 

4.00 

75  18 

27 

4.62 

■j6  42 

40 

5.00 

78  7 

52 

6.00 

79  34 

56  2 

7.50 

81  2 

10 

8.57 

82  30 

17 

lO.O 

83  59 

23 

15.0 

85  29 

27 

30.0 

86  59 

29 

60.0 

88  29 

30 

90  0 

_A 
60' 


0.52 
.52 
•55 
•57 
.58 

0.62 
.62 
.65 
.67 
.70 

0.72 
•75 
•77 
.80 
.82 

0.85 

■87 
.90 

■93 
•95 


60^ 
A 

i^  =  33°30' 


60' 

A 


35  53 

36  36 

37  19 

38  2 

44 

39  26 

40  7 
48 

41  28 

42  7 

46 

43  25 

44  3 
40 

45  17 

S3 

46  28 

47  3 
37 

48  10 

42 

49  14 

44 

50  14 

43 

51  10 
37 

52  3 
27 

50 

53  12 

33 
53 

54  II 
28 

44 
58 

55  II 
22 

32 

41 
48 

53 
57 
59 

56  o 


2.00 
2,00 
2.07 

2.22 

2.22 
2.31 

2.50 
2.G1 

2-73 

2.86 

3.00 
3^33 
3^53 
3-75 

4.29 
4.62 

5-45 
6.00 
6.67 

8-57 
12.0 
15.0 
30.0 
60.0 


60^ 
A 


43  39 

44  9 
41 

45  14 
48 

46  23 
59 

47  37 

48  16 

56 

49  37 

50  20 

51  5 
SI 

52  38 

53  27 

54  18 

55  10 

56  4 
59 


57  56 

58  55 

59  55 

60  57 

62  I 

63  7 

64  14 

65  23 

66  34 

67  46 

69  o 

70  16 

71  33 

72  52 

74  12 

75  34 

76  57 

78  21 

79  46 


82  38 

84  6 

85  34 

87  2 

88  31 

90    o 


A 

60' 


•53 
•55 
•57 
.58 

0.60 
.63 
.65 
.67 
.68 

0.72 
•75 
•77 
.78 
.82 

0.85 
.87 
.9c 
•92 
•95 


d  =  34°0' 


C 


45 
44 
43 
42 
41 

40 

39 
38 
37 
36 

35 

34 
33 
32 
31 

30 

20 
28 
27 
26 

25 

24 
23 
22 
21 

20 

19 
18 

17 
16 

15 
14 
13 
12 
II 

10 

9 
8 

7 
6 

5 
4 
3 
2 
I 


61. 1 
60.3 
59-4 
58.S 
57-6 

56^7 
557 
54-8 
53-8 
52^8 

51.8 

50.7 
49.6 

48^5 
47-4 

46.3 

4SI 
43-9 
42.7 

41-5 

40.2 
58.9 
37-6 
36.2 
348 

334 
32.0 

30^5 
29.0 

27s 

259 

24-3 
22.7 
21. 1 
19.4 

17.7 
16.0 

14-3 
12.5 
10.8 

9.0 

7.2 

1% 

1.8 

ao 


Page  248]         i-455 


1 428 


1.402 


B 


10 

1 1 
12 
13 
14 

15 

16 

17 
18 

19 

20 

21 
22 

23 
24 

25 

26 
27 
28 
29 

30 

31 
32 
33 
34 

35 

36 
37 
38 
39 

40 

41 
42 

43 
44 

45 


a  =  34°  30' 


a  =  35°0' 


60' 


0   / 

0   / 

0  0 

1.22 

34  30 

0. 

49 

1.20 

30 

I  39 

1.22 

31 

2  28 

1.20 

Z^ 

3  i« 

1.22 

34 

4  7 

1.20 

36 

0. 

57 

1.22 

39 

5  46 

1.22 

42 

0  35 

1.22 

46 

7  24 

1.20 

50 

8  14 

1.22 

55 

0. 

9  3 

1.22 

35  0 

52 

1.22 

6 

10  41 

1.22 

12 

II  30 

1.22 

19 

12  19 

1.22 

26 

0. 

13  « 

1.22 

34 

57 

1.25 

42 

14  45 

1.22 

^  51 

15  34 

1. 25 

3b  I 

16  22 

1.22 

II 

0. 

17  II 

1.25 

22 

u  59 

1.25 

23 

18  47 

1.25 

45 

19  35 

1.25 

57 

20  23 

1.25 

37  10 

0. 

21  II 

1.28 

24 

5« 

I.2S 

39 

22  46 

1.28 

54 

23  Z2, 

1.28 

i^   10 

24  20 

1.28 

26 

0. 

25  7 

1.28 

43 

54 

1.30 

39  I 

26  40 

1.30 

20 

27  26 

1.30 

40 

28  12 

1.30 

40  0 

0. 

5« 

1.30 

21 

29  44 

1-33 

43 

30  29 

1.33 

41  6 

31  14 

1.33 

30 

59 

1-33 

54 

0. 

32  44 

1.36 

42  19 

33  28 

1.36 

46 

34  12 

1.36 

43  13 

50 

1.40 

42 

35  39 

44  II 

<=3 


^  b 

c?  =  34*'30' 


60' 


60' 
A 


o 
49 
38 
27 
17 

6 

55 
44 
33 
22 


5 
6 

7 

8  II 

9  o 
48 

10  37 

11  26 

12  14 

13  3 
51 

14  40 

15  28 

16  16 

17  4 
52 

18  40 

19  28 

20  15 

21  3 
50 

22  37 

23  24 

24  II 
57 

25  44 

26  30 

27  16 

28  2 

47 

29  32 

30  17 

31  2 

46 

32  30 

33  14 
58 

34  41 

35  24 


25 


25 


60; 
A 


35  o 
o 
I 
2 
4 

6 

9 
12 
16 
20 

25 
30 
36 
42 
49 

36  4 
13 
22 

31 

41 

52 

37  4 
16 
28 

41 

o  55 

38  10 

25 
41 

57 

39  15 
33 
52 

40  II 

31 
52 

41  14 

37 

42  I 

26 

51 

43  18 
45 

44  14 

43 


0.00 
.02 
.02 
.03 
•03 

0.05 
.05 
•07 
.07 
.08 

o.oS 


0.13 
•15 
•15 
•15 

•»7 

0.18 


0.23 
•25 

•25 

.27 
•27 
0.30 
.30 
.32 

•  32 

•  33 

0-35 
•37 
•38 
.40 

•42 

0.42 

•45 

•4'; 
.48 
.4S 


_A 
60' 


ii  =  35°  0' 


a  =  35°  30' 


d,  60' 


A_ 

60' 


0   / 

0   / 

0  0 

1.22 

35  30 

49 

1.22 

30 

I  38 

1.22 

31 

2  27 

1.25 

32 

3  15 

1.22 

34 

4  4 

1.22 

36 

53 

1.22 

39 

5  42 

1.25 

42 

6  30 

1.22 

46 

7  19 

1.22 

50 

8  8 

1.2^ 

55 

56 

1.22 

36  0 

9  45 

1.25 

6 

10  33 

1.22 

12 

II  22 

1.25 

19 

12  10 

1-25 

27 

58 

1.25 

35 

13  46 

1.25 

43 

14  34 

1,25 

52 

15  22 

1. 25 

37     2 

16  10 

1.25 

12 

58 

1.28 

23 

17  45 

1.2^ 

34 

18  33 

1.28 

46 

19  20 

1.28 

59 

20  7 

1.28 

38  12 

54 

1.28 

26 

21  41 

1.28 

41 

22  28 

1.28 

56 

23  15 

1.30 

39  12 

24  I 

1.30 

29 

47 

1.30 

46 

25  33 

1.30 

40  4 

26  19 

1.30 

23 

27  5 

'•33 

43 

50 

1.33 

41  3 

28  35 

1-33 

24 

29  20 

1-33 

46 

30  5 

1.36 

42  9 

49 

1.36 

33 

31  33 

1.36 

58 

32  17 

1.40 

43  23 

33     0 

1.40 

50 

43 

1.40 

44  17 

34  26 

1.40 

45 

35  9 

45  15 

6^'    b 

A 

<;  =  35°30' 


0.00 

.02 

.02 

.03 
.03 

0.05 

.05 
,07 
.07 
.08 

0.08 


•13 

0.13 

•  13 

.'5 

•  17 

•  17 

0.18 
.18 


.22 

0.23 
•25 
•25 
•27 
.28 

0.28 
•30 
•32 

•33 

.33 

0-35 
•  37 
.38 
.40 
•42 

0.42 

.47 
•5^ 


_A 
60' 


90 

89 
88 

l7 
86 

82 
81 

80 

7? 
78 

76 

75 
74 
73 
72 

71 

70 

69 
68 
67 
66 

65 

64 

63 
62 
61 

60 

59 
58 
57 
56 

55 
54 
53 
52 
51 

50 

48 

47 
46 

45 


90.0 

89.4 
88.9 
88.3 
87.7 

87.1 
86.6 
86.0 

854 

84.8 

84.2 
83.6 
83.0 
82.5 
81.9 

81.3 
80.7 
80.1 

79-4 
78.8 

78.2 
77.6 
77.0 
76.3 
75-7 

750 
74-4 
73-7 
73-0 
72.4 

71.7 
71.0 

70.3 
69.6 
68.9 

68.1 
67.A 
66.6 

659 
65.1 

64.3 

635 
62.7 
61.9 
61.0 

60.2 


M5S 


1.428 


1.402 


[Page  249 


0 

a -34°  30' 

a=35°0' 

a 

=  35"  3(y 

0 

V 

k 

d 

60' 
A 

z\ 

A 

60' 

> 

d 
\ 

bo/ 
A 

z\ 

A 
60' 

> 

d 
\ 

6<y 

A 

Z\ 

A 

6c/ 

A 

0 

1 

0      / 

0 

/ 

0      / 

0 

/ 

0      / 

,  0 

45 

35 

39 

1.40 

44  II 

0.52 

3| 

24 

1.43 

44  43 

0.52 

35 

9 

••43 

45   15 

0.50 

45 

60.2 

4t> 

36 

22 

'•43 

42 

•52 

36 

6 

'•43 

45   14 

•52 

51 

••43 

45 

.53 

44 

59^3 

47 

37 

4 

1.43 

45  13 

•55 

48 

1.43 

45 

•55 

36 

33 

1.46 

46  17 

•55 

43 

58^4 

48 

46 

■•43 

46 

•57 

37 

30 

1.46 

46  18 

•57 

37 

14 

1.46 

50 

•57 

42 

57-S 

JO 

38 

28 

..46 

46  20 

.58 

38 

II 

1.46 

52 

.58 

55 

1.50 

47  24 

•58 

41 

56.6 

50 

39 

9 

1.46 

55 

0.60 

52 

1.50 

47  27 

0.60 

38 

35 

1.50 

0  59 

0.60 

40 

55.6 

51 

50 

1.50 

47  31 

.63 

39 

32 

1.50 

48     3 

.63 

39 

15 

1.54 

48  35 

.62 

39 

54-7 

52 

40 

30 

1.50 

48     9 

.65 

40 

12 

1.50 

41 

.63 

54 

'•54 

49  12 

•65 

38 

53-7 

53 

41 

10 

1. 54 

48 

.67 

52 

1.54 

49  19 

.67 

40 

33 

'•54 

51 

.67 

37 

52^7 

54 

49 

1.54 

49  28 

.68 

41 

31 

1.58 

59 

.70 

41 

12 

..58 

50  31 

.68 

36 

51-7 

55 

42 

28 

1.58 

50     9 

0.72 

42 

9 

1.58 

50  41 

0.70 

50 

1.62 

51    12 

0.70 

35 

50^7 

56 

43 

6 

1.62 

52 

•73 

47 

1.62 

51   23 

.73 

42 

27 

1.62 

54 

•73 

34 

49.6 

57 

43 

1.62 

51   3^ 

•77 

43 

24 

1.67 

52     7 

•71 

43 

4 

1.67 

52  38 

•75 

33 

43.5 

58 

44 

20 

1.67 

52  22 

.78 

44 

0 

1.67 

53 

.78 

40 

1.71 

53  23 

.78 

32 

47^4 

59 

56 

1.67 

53     9 

.82 

36 

1. 71 

53  40 

.80 

44 

15 

1. 71 

54  10 

.80 

31 

46^3 

60 

45 

32 

1.71 

58 

0.83 

45 

II 

1. 71 

54  28 

0.83 

50 

1.76 

5? 

0.83 

30 

45-2 

61 

46 

7 

1.76 

54  48 

.87 

46 

..76 

55  18 

.87 

45 

24 

1.82 

55  48 

.85 

29 

44.0 

62 

41 

1.76 

5  5  40 

.88 

46 

20 

1.82 

56  10 

.88 

57 

1.82 

56  39 

,88 

28 

42.8 

63 

47 

15 

1.82 

56  33 

.92 

53 

1.88 

57     3 

.90 

46 

30 

1.88 

H  ^l 

.90 

^Z 

41.6 

64 

48 

1.88 

57  28 

•95 

47 

25 

1.94 

57 

.93 

47 

2 

1.94 

58  26 

.92 

26 

40.4 

65 

48 

20 

1.94 

58  25 

0.97 

56 

1.94 

58  53 

0.97 

33 

2.00 

59  21 

0.95 

25 

39.x 

60 

51 

2.00 

59  23 

1. 00 

48 

27 

2.07 

59  51 

.98 

48 

3 

2.07 

60  18 

.98 

24 

37-8 

(>7 

49 

21 

2.07 

60  23 

1.03 

56 

2.07 

60  50 

1,02 

32 

2.07 

61   17 

1.02 

23 

36^5 

68 

50 

2.14 

61   25 

1.05 

49 

25 

2.14 

61    51 

1.05 

49 

I 

2.22 

62  18 

1.03 

22 

35-2 

69 

50 

18 

2.22 

62  28 

1.08 

53 

2.22 

62  54 

1.07 

28 

2.22 

63  20 

1.05 

21 

33.8 

70 

45 

2.31 

63  33 

1. 10 

50 

20 

2^3> 

63  58 

1. 10 

55 

2.40 

64  23 

1.08 

20 

32^4 

71 

51 

II 

2.40 

64  39 

1.13 

46 

2.50 

65     4 

1. 12 

50 

20 

2.50 

65  28 

1. 12 

19 

3i^o 

72 

36 

2.50 

65  47 

1. 17 

51 

10 

2.50 

66  II 

1.15 

44 

2.50 

66  35 

1. 13 

18 

29-5 

73 

52 

0 

2.61 

66  57 

1.20 

34 

2.61 

67  20 

1. 18 

51 

8 

2^73 

^l  43 

1. 15 

'Z 

28.1 

74 

23 

2-73 

68     9 

1.22 

57 

2.86 

68  31 

1.20 

30 

2.86 

68  52 

1. 18 

16 

26.6 

75 

45 

2.86 

69  22 

1.25 

52 

18 

3.00 

69  43 

1.22 

51 

3.00 

70     3 

1.22 

IS 

25.0 

76 

53 

6 

3.16 

70  37 

1.27 

38 

3.16 

70  56 

i.2<; 

52 

II 

3.16 

71   16 

1.23 

14 

235 

77 

25 

3-33 

71   53 

1.28 

57 

3^33 

72  II 

1.28 

30 

3-53 

72  30 

1.25 

13 

21.9 

78 

43 

3.53 

13  10 

1.32 

53 

15 

3-75 

73  28 

1.28 

47 

3^75 

73  45 

1.27 

12 

20.3 

79 

54 

0 

4.00 

74  29 

1-33 

31 

4.00 

74  45 

1.32 

53 

3 

4.00 

75     I 

1.30 

II 

18.7 

80 

15 

4  29 

75  49 

1-37 

46 

4.29 

76     4 

'•33 

18 

4.62 

76  19 

I^32 

10 

17. 1 

81 

29 

4.62 

77  II 

'•37 

54 

0 

4.62 

77  24 

1-37 

31 

5.00 

77  38 

1-33 

9 

154 

82 

42 

5-45 

78  33 

1.40 

13 

5-45 

78  46 

'•37 

43 

5^45 

78  58 

1.33 

8 

138 

83 

53 

6.00 

79  57 

1.40 

24 

6.67 

80     8 

1.38 

54 

6.00 

80  18 

'•37 

7 

12. 1 

84 

55 

3 

7.50 

81   21 

1.42 

33 

7.50 

81   31 

K38 

54 

4 

7.50 

81  40 

'•37 

6 

10.4 

85 

II 

8.57 

82  46 

'•43 

41 

8.57 

82  54 

1.42 

12 

ro.o 

83     2 

1.38 

5 

8.7 

SO 

18 

12.0 

84  12 

1.45 

48 

12.0 

84  19 

1.42 

18 

12.0 

84  25 

1.38 

4 

7.0 

87 

23 

15.0 

85   39 

1.45 

53 

15.0 

85  44 

1.42 

23 

15.0 

85  48 

1.40 

3 

5-2 

88 

27 

30.0 

87     6 

1.45 

57 

30.0 

87     9 

1.42 

27 

•50.0 

87   12 

1.40 

2 

3-5 

89 

29 

60.0 

88  33 

'•45 

59 

60.  c 

88  34 

'•43 

29 

60.0 

SB  36 

1.40 

I 

1-7 

90 

30 

90     0 

55 

0 

90     0 

30 

90     0 

0 

0.0 

S 

60' 

6 

A 

d 

60' 

5 

A 

a 

60' 

6 

A 

a 

t 

A 

1  60' 

A 

60' 

A 

60' 

d  =  S4>°2(y 

d  =  35°0' 

^/  =  35°30' 

Page  250]         1.376 


I-35I 


1.327 


ir 

\b 

a  =  36°  0' 

a  =  36°  30' 

a  =  37°0' 

\ 

'v 

\d 

60' 

\  t 

A 

\  d 

60'  X   t 

A 

\  d 

60' 

\  t 

A 

A 

b\ 

^\ 

A 

z\ 

60' 

h\ 

A       Z\ 

60' 

h\ 

A 

z\ 

6c/ 

A 

A 

0 

0     / 

0       / 

0     I 

0      / 

0     / 

0      / 

0 

0 

0 

0    0 

1.22 

36   0 

0.00 

0    0 

1.25 

36  30 

0.00 

0    0 

1.25 

37    0 

0.00 

90 

90.0 

I 

49 

1. 25 

0 

.02 

48 

1.25 

30 

.02 

48 

1.25 

0 

.02 

89 

89.4 
88.  {; 

2 

I   37 

1.22 

I 

.02 

I  36 

1.22 

31 

.02 

I  36 

1.25 

I 

.02 

88 

3 

2  26 

1.25 

2 

.03 

2  25 

1.25 

32 

•03 

2  24 

1.25 

2 

•03 

87 

88.2 

4 

3  14 

1.22 

4 

•03 

3  13 

1.25 

34 

•03 

3  12 

1.28 

4 

.03 

86 

87.6 

5 

4     3 

1.25 

6 

0.05 

4     I 

1.25 

36 

0.05 

59 

1.25 

6 

0.05 

85 

87.0 

0 

51 

1.25 

9 

.05 

49 

1.25 

39 

.05 

4  47 

1. 25 

9 

.05 

84 

86.4 

7 

5  39 

1.22 

12 

.07 

5  37 

1.25 

42 

.07 

5  35 

1.25 

12 

.07 

83 

85.8 

8 

6  28 

1.25 

16 

.07 

6  25 

1.25 

46 

.07 

6  23 

1.25 

16 

.07 

82 

85.2 

9 

7  16 

1.22 

20 

.08 

7  13 

1.25 

50 

.oS 

7  II 

1.28 

20 

.08 

81 

84.6 

10 

8     5 

1.25 

25 

0.08 

8     I 

1.25 

55 

0. 10 

58 

1.25 

25 

0. 10 

80 

84.0 

1 1 

53 

1.25 

35 

.10 

49 

1.25 

37     I 

.10 

8  46 

1.25 

31 

.10 

79 

834 

12 

9  41 

1.25 

36 

.12 

9  37 

1.25 

7 

.10 

9  34 

1.28 

37 

.10 

78 

82.8 

13 

10  29 

1.25 

43 

.12 

10  25 

1.25 

13 

.12 

10  21 

1.28 

43 

.12 

77 

82.2 

14 

II   17 

1.25 

50 

.12 

II   13 

1.28 

20 

.12 

II      8 

1.25 

50 

.  12 

76 

81.6 

15 

12     5 

1.25 

57 

0.13 

12     0 

1.25 

27 

0.13 

56 

1.28 

57 

0.13 

75 

80.9 

16 

53 

1.25 

37     5 

.13 

48 

1.25 

35 

•15 

12  43 

1.28 

38     5 

•'5 

74 

80.3 

17 

13  41 

1.25 

13 

•'S 

13  36 

1.28 

44 

•15 

13  30 

1.28 

14 

•15 

73 

79^7 

18 

14  29 

1.28 

22 

•17 

14  23 

1.28 

53 

•17 

14  17 

1.28 

23 

•'7 

72 

79^1 

19 

15  16 

1.25 

32 

.18 

15   10 

1.28 

38     3 

•'7 

15     4 

1.28 

33 

.i8 

71 

78.4 

20 

16    4 

1.28 

43 

0.18 

.  57 

1.28 

13 

0.18 

51 

1.28 

44 

0.18 

70 

77^8 

21 

51 

1.28 

0  54 

.18 

16  44 

1.28 

24 

.20 

16  38 

1.28 

55 

.18 

69 

77.1 

22 

17  38 

1.2S 

38     5 

.20 

17  31 

1.28 

36 

.20 

17  25 

1.30 

39     6 

,20 

68 

76^5 

23 

18  25 

1.28 

17 

.22 

18  18 

1.28 

48 

.22 

18  II 

1.30 

18 

.22 

67 

75-8 

24 

19  12 

1,28 

30 

.22 

19     5 

1.28 

39     I 

.22 

57 

1.30 

31 

•23 

66 

75-2 

25 

59 

1.28 

43 

0.23 

H 

1.30 

14 

0.23 

19  43 

1.30 

45 

0.23 

65 

74-S 

20 

20  46 

1. 28 

57 

•25 

20  38 

1.30 

28 

.25 

20  29 

1.30 

59 

•23 

64 

73-8 

27 

21    33 

1.30 

39  12 

.25 

21  24 

1.30 

43 

•25 

21   15 

1.30 

40  13 

.27 

63 

73^1 

28 

22  19 

1.30 

27 

•27 

22  10 

1.30 

58 

.27 

22     I 

1.30 

29 

•27 

62 

72.S 

29 

23     5 

1.30 

43 

.28 

56 

K30 

40  14 

.28 

47 

'•33 

45 

.28 

61 

7i^8 

30 

51 

1.30 

40     0 

0.28 

23  42 

'•33 

31 

0.28 

23  32 

1-33 

41     2 

0.28 

60 

71.0 

31 

24  37 

1.30 

17 

•3° 

24  27 

1.30 

48 

•30 

24  17 

'•33 

19 

•30 

5§ 

70^3 

32 

25  23 

1.30 

35 

•32 

25  13 

^•3i 

41     6 

•32 

25     2 

'•33 

37 

•32 

58 

69.6 

33 

26     9 

»-33 

54 

•33 

.  58 

'•33 

25 

•33 

.  47 

'•33 

56 

•33 

57 

68.9 

34 

54 

••33 

41    14 

•33 

26  43 

'•33 

45 

•35 

26  32 

1.36 

42  16 

•35 

56 

68.1 

35 

27  39 

J-33 

H 

0-37 

27  28 

1.36 

42     6 

0.35 

27  16 

1.36 

37 

0-35 

55 

^i 

36 

28  24 

1.36 

56 

•37 

28  12 

1.36 

27 

•37 

28     0 

1.36 

58 

•37 

54 

37 

29     8 

1.36 

42   18 

'3^ 

56 

1.36 

49 

•38 

44 

1.40 

43  20 

•38 

53 

65^9 

38 

5| 

1.36 

41 

.38 

29  40 

1.36 

43   12 

.40 

29  27 

1.40 

43 

.40 

52 

6SI 

39 

30  36 

1.36 

43     4 

.42 

30  24 

1.40 

36 

•42 

30  10 

1.40 

44     7 

•  42 

51 

64-3 

40 

31   20 

1.40 

29 

0.43 

31     7 

1.40 

44     I 

0.42 

53 

1.40 

32 

0.43 

50 

63s 

41 

32     3 

1.40 

55 

•43 

50 

1.40 

26 

•45 

31   36 

1-43 

58 

.43 

4§ 

62.7 

42 

46 

1.40 

44  21 

•47 

32  33 

1.43 

53 

•45 

32  18 

'•43 

45  24 

•47 

48 

61.3 

43 

33  29 

1.40 

49 

•47 

33   15 

1.43 

45  20 

.48 

33     0 

"•43 

52 

•47 

47 

61.0 

44 

34  12 

1.43 

45   17 

.48 

57 

1.43 

49 

.48 

42 

1.46 

46  20 

.48 

46 

60. 1 

45 

54 

46 

34  39 

46  18 

34  23 

49 

45 

59-3 

a 

6& 

h 

_A_ 

a 

6</ 

b 

A 

a 

6(y 

b 

A 

a. 

t 

1 

A 

60' 

A 

6<y 

A 

e&l 

1 

d  =  36°  0' 

rf  =  36°30' 

d  =  2T(y          j 

I. 

376 

1.351 

1.327 

Pag 

e251 

K 

a  =  36°0' 

a  =  36°  30' 

a  =  37°0' 

^ 

\  * 

d 

60' 

\    t 

A 

\ 

d 

So'    i\   i 

A 

\ 

d 

ro^ 

X  t 

A 

\ 

«\ 

*N 

A 

z\ 

6<y 

/* 

\ 

A     \Z\ 

60' 

A^ 

\ 

A 

z\ 

<-& 

A 

P\ 

0 

0 

/ 

°     / 

0 

/ 

0      / 

0 

/ 

0       / 

^ 

0 

45 

34 

54 

1.46 

4  5  46 

0.52 

34 

39 

1.46 

46    18 

0.50 

34 

23 

1.46 

46  49 

0.52 

45 

59-3 

46 

35 

3S 

1.46 

46  17 

•53 

35 

20 

1.46 

48 

•53 

35 

4 

1.50 

47  20 

.52 

44 

58.4 

47 

36 

16 

1.46 

49 

•53 

36 

I 

1.50 

47  20 

•55 

44 

1.50 

51 

•55 

43 

57-5 

48 

57 

..46 

47  21 

•57 

41 

1.50 

53 

•55 

36 

24 

1.50 

48  24 

•55 

42 

56-6 

49 

37 

38 

1.50 

55 

.58 

37 

21 

1.50 

48  26 

.58 

37 

4 

1.54 

57 

.58 

41 

55-6 

SO 

38 

18 

••54 

48  30 

0.60 

38 

I 

1^54 

49     I 

0.60 

43 

t.54 

49  32 

0.60 

40 

54-7 

SI 

57 

1.54 

49     6 

.62 

40 

1.58 

37 

.62 

38 

22 

..58 

50     8 

.62 

39 

53-7 

52 

39 

36 

1-54 

43 

.65 

39 

18 

1.58 

50  14 

•  63 

39 

0 

..58 

45 

•63 

38 

527 

53 

40 

15 

..58 

50  22 

.67 

56 

1.58 

52 

.67 

38 

1.62 

51   23 

.67 

H 

517 

54 

53 

1.62 

51      2 

.68 

40 

34 

1.62 

51   32 

.68 

40 

15 

1.62 

52     3 

.67 

36 

50.7 

55 

41 

30 

1.62 

43 

0.70 

41 

II 

1.67 

52  13 

0.70 

52 

..67 

43 

0.7c 

35 

49-7 

56 

42 

7 

1.67 

52  25 

•73 

47 

..67 

55 

•73 

41 

28 

1. 71 

S3  25 

.72 

34 

48.6 

57 

43 

..67 

53     9 

•75 

42 

23 

1.71 

53  39 

•75 

42 

3 

1. 71 

54     8 

•75 

33 

47-5 

58 

43 

19 

I. 71 

54 

•77 

58 

1. 71 

54  24 

•77 

38 

1.76 

53 

•77 

32 

46.4 

59 

54 

I. 71 

54  40 

.8c 

43 

33 

1.76 

55  10 

•78 

43 

12 

1.76 

55  39 

.78 

31 

45-3 

60 

44 

29 

1.82 

55  28 

0.82 

44 

7 

1.82 

.  57 

0.82 

46 

1.82 

56  26 

0.82 

30 

44.1 

61 

45 

■^ 

1.82 

'•,6  17 

.85 

40 

1.82 

56  46 

.83 

44 

19 

1.88 

57  15 

.8^ 

29 

43^0 

62 

35 

1.88 

57     8 

.87 

45 

13 

1.88 

57  36 

.87 

51 

1.94 

58     5 

.85 

28 

41.8 

63 

46 

7 

1.88 

58     0 

.90 

45 

1.94 

58  28 

.88 

45 

22 

2.00 

56 

.88 

^l 

40.6 

64 

39 

2.00 

54 

.92 

46 

16 

2.00 

59  21 

•92 

52 

2.00 

59  49 

.90 

26 

39-4 

65 

47 

9 

2.00 

59  49 

0.95 

46 

2,07 

60  16 

0.93 

46 

22 

2.07 

60  43 

^•91> 

25 

38.1 

66 

39 

2.07 

60  46 

•97 

47 

I  5 

2.14 

61   12 

•97 

51 

2.14 

61   39 

•95 

24 

36^8 

67 

48 

8 

2.14 

61   44 

1. 00 

43 

2.14 

62  10 

.98 

47 

19 

2.22 

62  36 

•97 

23 

3S5 

68 

36 

2.22 

62  44 

1.02 

48 

1 1 

2.22 

63     9 

1.02 

46 

2.22 

63   34 

1. 00 

22 

34-2 

69 

49 

3 

2.31 

63  45 

1.05 

38 

2.40 

64  10 

1.03 

48 

13 

2.4c 

64  34 

1.02 

21 

32.8 

70 

29 

2.40 

64  48 

1.07 

49 

3 

2.40 

6s   12 

i.o<; 

38 

2.50 

65  35 

1.05 

20 

31S 

71 

54 

2,50 

65   52 

1. 10 

28 

2.50 

66  15 

1.08 

49 

2 

2.50 

66  38 

1.07 

19 

30.1 

72 

50 

18 

2.61 

66  58 

1. 12 

52 

2.73 

67  20 

1. 10 

26 

2.73 

67  42 

1. 10 

18 

28.6 

73 

41 

2-73 

68     5 

1. 15 

50 

14 

^•73 

68  26 

i^ij 

48 

2.86 

68  48 

1. 12 

17 

27.2 

74 

51 

3 

2.86 

69  14 

1. 17 

36 

3.00 

■'')9  34 

1. 15 

50 

9 

3.00 

69  55 

i^i3 

16 

257 

75 

24 

3.16 

70  24 

1. 18 

56 

3.16 

70  43 

1. 18 

29 

3.16 

71     3 

1. 15 

15 

24-3 

76 

43 

3-33 

71   35 

1.22 

51 

15 

3-33 

71   54 

i.iS 

48 

3^33 

72  12 

1. 18 

14 

22.7 

77 

52 

I 

3-53 

72  48 

1.23 

33 

3-53 

73     5 

1.22 

51 

6 

3-75 

73  23 

1.20 

13 

21.2 

78 

18 

3-75 

74     2 

1.25 

50 

3^75 

74  18 

1.2"; 

22 

4.00 

74  35 

1.20 

12 

19.7 

79 

34 

4.00 

75   17 

1.27 

52 

6 

4.29 

75  33 

1.25 

37 

4.29 

75  47 

'•23 

II 

18. 1 

80 

49 

4.62 

76  33 

1.30 

20 

4.62 

76  48 

1.27 

51 

4.62 

77     I 

1. 25 

10 

16.5 

81 

'S3 

2 

5.0c 

77  51 

1.30 

33 

5.00 

78     4 

1. 28 

52 

4 

5.00 

78  16 

1.27 

9 

8 

14.9 

82 

14 

5-45 

79     9 

1.33 

45 

5-45 

79  21 

1.30 

16 

6.00 

79  32 

1.28 

13-3 

83 

25 

6.67 

80  29 

1-33 

56 

6.67 

80  39 

'•32 

26 

6.67 

80  49 

1.28 

I 

11.7 

84 

34 

7.50 

81  49 

1-35 

53 

5 

7.50 

81    58 

1.32 

35 

7.50 

82     6 

1.30 

6 

10. 0 

85 

42 

8.57 

83   10 

1-35 

13 

lo.o 

83   17 

'•33 

43 

lO.O 

83  24 

1-32 

S 

8.4 

86 

49 

12.0 

84  31 

1-37 

19 

12.0 

84  37 

1-33 

49 

12.0 

84  43 

1.32 

4 

6.7 

87 

54 

20.0 

85   53 

'•37 

24 

20.0 

85   57 

1-35 

54 

20.0 

86     2 

1.32 

3 

5-0 

88 

57 

30.0 

^7   15 

1-37 

27 

30.0 

87   18 

1-35 

57 

30.0 

87  21 

1.32 

2 

3^4 

89 

59 

60.0 

88  37 

1.38 

29 

60.0 

88  39 

'•35 

59 

60.0 

88  40 

1^33 

I 

1-7 

90 

54 

0 

90     0 

30 

90     0 

53 

0 

90     0 

0 

0.0 

6c/ 

b 

A 

60' 

A 

ecy 

h 

A 

1 

a 

a 

, 

h 

a 

a 

t 

T 

60^ 

A 

6& 

' 

~A 

6o> 

i  =  36°0' 

d  =  36°30' 

d  =  3T(y 

Page  252]         1.303 


X.280 


X.2S7 


10 

1 1 
12 
13 
14 

15 

16 

17 
18 

19 

20 

21 
22 
^3 
24 

25 

26 

27 
28 
29 

30 

31 
32 
33 
34 

35 

3(^ 

17 
38 
39 

40 

4' 
42 
43 

44 

45 


a  =37°  30' 


60' 

A 


60' 


0   y 

0   / 

0  0 

1.25 

17   30 

0. 

48 

1.2S 

30 

I  35 

1.25 

31 

2  23 

1.2S 

32 

3  10 

1.25 

34 

S8 

1.21; 

36 

0. 

4  46 

1.28 

39 

5  33 

1.2S 

42 

. 

6  20 

1.25 

46 

. 

7  8 

1.28 

51 

, 

55 

1.28 

56 

0. 

8  42 

1.25 

38  I 

9  30 

1.28 

7 

10  17 

1.28 

13 

II  4 

1.28 

20 

51 

1.28 

28 

0. 

12  38 

1.28 

36 

• 

13  25 

1.28 

45 

^ 

14  12 

I.'^O 

54 

58 

1.28 

39  4 

15  45 

1.30 

14 

0. 

16  31 

1.30 

25 

17  17 

1.30 

37 

18  3 

1.30 

49 

49 

1.30 

40  2 

19  35 

r.30 

15 

0. 

20  21 

1.30 

29 

21  7 

■•33 

44 

52 

1-33 

41  0 

22  37 

1.33 

16 

23  22 

1.33 

ZZ 

0. 

24  7 

1.33 

52 

52 

1.36 

42  8 

25  36 

1.36 

27 

26  20 

..36 

47 

27  4 

1.36 

43  8 

0. 

48 

1.40 

29 

28  31 

1.40 

51 

29  M 

1.40 

44  14 

57 

1.40 

38 

30  40 

••43 

45  3 

0. 

31  22 

'•43 

28 

12.     4 

r.46 

55 

45 

..46 

46  23 

33  26 

1.46 

51 

34  7 

47  20 

08 


A 


6c/ 


d  =  37°30' 


a  =  38°0' 


60' 

A 


6<y 


0   / 

»   / 

0  0 

1.28 

38  0 

47 

1.25 

0 

I  35 

1.28 

I 

2  22 

1.28 

2 

3  9 

1.28 

4 

56 

1.25 

6 

4  44 

1.28 

9 

5  31 

1.28 

12 

6  18 

1.28 

16 

7  5 

1.28 

21 

52 

1.28 

26 

8  39 

1.28 

31 

9  26 

1.28 

37 

10  13 

1.30 

43 

59 

1.28 

50 

II  46 

1.28 

58 

12  33 

1.30 

39  6 

13  19 

1.28 

15 

14  6 

1.30. 

24 

52 

1.30 

34 

15  38 

1.30 

44 

16  24 

1.30 

55 

17  10 

1.30 

40  7 

56 

1.30 

19 

18  42 

1-33 

32 

19  27 

1.30 

46 

20  13 

1.33 

41  0 

58 

1-33 

15 

21  43 

1-33 

30 

22  28 

1.36 

46 

23  12 

1-33 

42  3 

57 

..36 

21 

24  41 

..36 

39 

25  25 

..36 

58 

26  9 

1.40 

43  18 

52 

1.40 

39 

27  35 

1.40 

44  0 

28  18 

1.40 

22 

29  I 

1.40 

45 

44 

••43 

45  9 

■\o  26 

'•43 

34 

31   8 

1.46 

46  0 

49 

1.46 

26 

32  30 

1.46 

53 

33   II 

1.46 

47  22 

52 

51 

60' 

A 


.03 
•03 

0.05 
.05 
.07 
.08 
.08 

0.08 
.10 


•'3 

0.13 

•'5 

•17 
.17 


.23 
0.23 

•25 

.25 
.27 
.28 

0.30 
.30 
•32 

•33 

•35 

0.35 
•37 
.38 
.40 

•  42 

0-4  3 
•43 
•45 

•  48 
•48 


60' 


d  =  3S°  0' 


a  =38°  30' 


0  o 
47 

1  34 

2  21 

3  8 

55 

4  42 

5  28 

6  15 

7  2 

49 

8  35 

9  22 

10  8 

55 

11  41 

12  28 

13  14 

14  o 
46 

15  32 

16  17 

17  3 
48 

18  34 

19  19 

20  4 

49 

21  34 

22  18 

23  2 
46 

24  30 

25  14 

57 

26  40 

27  23 

28  6 
48 

29  30 

30  12 
54 

31  35 

32  16 
56 

33  36 


38  30 
30 
31 
32 
34 

26 

39 
42 
46 
51 

56 

39  I 
7 

14 
21 

28 
36 
45 
54 

40  4 

15 
26 
38 
50 

41  3 

16 

30 
45 

42  I 

17 

34 
52 

29 
49 

44  10 
31 
53 

45  16 
40 

46  5 
31 
57 

47  24 
S3 

48  22 


60' 
A 


b       1-^ 
6r/ 


rf  =  38°30' 


9P 

8q 
88 

86 

IS 

82 


80 

79 
78 

77 
76 

75 
74 
73 
72 

71 

70 

69 
68 
67 
66 

65 

64 

63 
62 
61 

60 
59 
58 
57 
56 

55 
54 
53 

52 
51 

CO 

49 
48 

47 
46 

45 


90.0 
39.4 
38.8 
38.2 
87-5 

86.9 
86.3 
85.7 
85- 1 
4 

S3.8 
83.2 
82.5 
81.9 
81.3 

80.6 
80.0 

79-3 
78.7 
78.0 

77-4 
76.7 
76.0 
75-4 
74-7 

74.0 

73-3 
72.6 
71.9 
71.2 

70.4 
69.7 
69.0 
68.2 
67.4 

66.7 
65-9 
65.1 

64-3 
63-5 

62.7 
61.8 
61.0 
60.1 
59-3 

58.4 


1.303 


i.28o 


1.257 


[Page  253 


45 

46 

47 
48 

49 

50 

51 
52 
53 
54 

55 

56 
57 
58 
59 

60 

61 
62 

63 
64 

65 

66 
67 
68 
69 

70 

71 

72 

73 
74 

75 

76 

77 
78 
79 

80 

81 


85 

86 
87 
88 
89 

90 


a  =  37°  30' 


0   / 

0   / 

34  7 

1.46 

47  20 

48 

I. so 

51 

3  5  28 

I. so 

48  22 

^6  8 

••54 

55 

47 

1-54 

49  28 

;,7  26 

1.58 

50  3 

38  4 

1.58 

39 

42 

1.62 

51  16 

39  19 

1.62 

54 

5b 

1.67 

52  11 

40  32 

1.67 

53  13 

41  8 

1. 71 

55 

43 

1.76 

54  38 

42  17 

1.76 

55  22 

51 

1.82 

56  8 

43  24 

1,88 

55 

5t) 

1.88 

57  43 

44  28 

1.94 

58  32 

59 

2.00 

59  23 

45  29 

2.07 

60  16 

58 

2.07 

61  9 

46  27 

2.14 

62  4 

55 

2.31 

f^3  I 

47  21 

2.31 

59 

47 

2.40 

64  58 

48  12 

2.  so 

65  59 

36 

2.61 

67  I 

59 

2-73 

68  4 

49  21 

2.86 

69  9 

42 

3.00 

70  15 

qo  2 

3-33 

71  22 

20 

3-33 

72  30 

38 

3-75 

73  40 

54 

4.00 

74  50 

51  9 

4.29 

76     2 

23 

4.62 

77   15 

3(5 

5-45 

78  29 

47 

6.00 

79  43 

57 

6.67 

80  58 

52  6 

8.57 

82  14 

13 

1 0.0 

83  31 

19 

12. c 

84  48 

24 

20.0 

86  6 

27 

30.C 

87  24 

29 

60.  c 

88  42 

30 

90  0 

^    b 

A 


0.52 
•52 

•  55 

•55 
.58 

0.60 
.62 

•  63 
.65 
.67 

0.70 
•72 
•73 
•77 
.78 

0.80 
.82 
•85 


0.92 
•95 
•97 
.98 

1. 02 

1.03 

1.05 
1.08 
1,10 
1. 12 

1-13 
1. 17 
1. 17 
1.20 
1.22 

1.23 

1.23 
1.25 
1.27 
1.28 

1.28 
1.30 
1.3c 
1.30 
1.30 


A^ 

6& 


a  =  38°0' 


60' 

A 


A_ 
6c/ 


0   / 

0   / 

33  52  '.50 

47  51 

0.  < 

34  32 

'•5° 

48  22 

.1 

35  12 

'•54 

S3 

. 

51 

i.';4 

49  2  5 

. 

36  30 

1.50 

59 

, 

37  8 

i.SS 

50  33 

o.( 

46 

1.62 

51  9 

,( 

38  23 

1.62 

46 

.( 

39  0 

..67 

52  24 

.( 

3^ 

1.67 

53  3 

.( 

40  12 

1. 71 

43 

o.( 

47 

1. 71 

54  24 

•/ 

41  22 

..76 

55  7 

•/ 

56 

1.82 

51 

42  29 

1.82 

50  36 

•y 

43  2 

1.88 

57  23 

o.S 

34 

'•94 

58  11 

A 

44  5 

••94 

59  0 

,i: 

36 

2.00 

50 

A 

45  6 

2.07 

60  42 

A 

35 

2.14 

61  35 

o.c 

46  3 

2.22 

62  30 

.< 

30 

2.31 

63  26 

.( 

56 

2.3! 

64  23 

.< 

47  22 

2.50 

65  22 

I.C 

46 

2.  so 

66  22 

I.C 

48  10 

2.61 

67  23 

I.C 

33 

2.86 

68  25 

I.C 

54 

2.86 

69  29 

I.C 

49  15 

3.16 

70  34 

I. 

34 

3^33 

71   40 

I. 

52 

3.53 

72  48 

I. 

50  9 

3^75 

73  56 

I. 

25 

4.00 

75  6 

I. 

40 

4.29 

76   17 

I. 

H 

5.00 

77   28 

I. 

51   6 

5.45 

78  41 

I. 

17 

6.00 

79  54 

I. 

27 

6.67 

81  8 

I. 

36 

8.57 

82  23 

I. 

43 

lO.O 

83  38 

I. 

49 

12.0 

84  54 

I. 

54 

20.0 

86  10 

I. 

57 

30.0 

87  26 

I. 

59 

60.0 

88  43 

I. 

52  0 

90  0 

03 


^    b 

A 


_A_ 
6c/ 


a  =  38°  30' 


60' 

A 


_A_ 
6c/ 


0   / 

0   / 

33  36 

1.50 

48  22 

0. 

34  16 

••54 

52 

.. 

55 

••54 

49  24 

. 

35  34 

..58 

56 

36  12 

1.58 

50  29 

50 

1.58 

51  4 

0. 

V  28 

1.62 

39 

. 

38    s 

1.67 

52  16 

. 

41 

..67 

53 

. 

39  17 

1.71 

53  32 

. 

52 

1. 71 

54  12 

0.' 

40  27 

i.jt 

54 

41  I 

1.7b 

55  36 

35 

1.82 

56  20 

42  8 

1.88 

57  5 

40 

1.88 

51 

0. 

43  12 

••94 

58  38 

43 

2.00 

59  27 

. 

44  13 

2.07 

60  17 

42 

2.07 

61   8 

45  II 

2.22 

62  I 

0. 

38 

2.22 

55 

. 

46  5 

2.31 

63  50 

. 

31 

2.40 

04  47 

56 

2.50 

65  45 

47  20 

2.50 

66  44 

I. 

44 

2^73 

67  44 

•I. 

48  6 

2.86 

68  46 

I. 

27 

3.00 

69  49 

I. 

47 

3.16 

70  53 

I. 

49  6 

3^33 

71   58 

I. 

24 

3^53 

73     5 

I. 

41 

3^75 

74  13 

I. 

57 

4.00 

75  21 

I. 

50  12 

4.62 

76   31 

I. 

.25 

5.00 

77   41 

I. 

37 

5^45 

78  52 

I. 

48 

6.00 

80  4 

I. 

58 

7-!i° 

81  17 

I. 

51   6 

8.57 

82  31 

I. 

13 

lO.O 

83  45 

I. 

19 

12.0 

84  59 

I. 

24 

20.C 

86  14 

I. 

27 

30.0 

87  29 

I. 

29 

60,0 

88  44 

I. 

30 

QO   0 

45 
44 
43 
42 
41 

40 

39 
38 
37 
36 

35 
34 
33 
32 
31 

30 

29 
28 

27 
26 

25 

24 
23 
22 
21 


19 
18 

17 
16 

15 
14 
13 
12 
II 

10 

9 
8 

7 
6 

5 

4 
3 
2 
I 


P 


58^4 
57^5 
56.6 
55-6 
54-7 

53.7 
52.8 
5^8 
50.8 
49-7 

47.6 
46.S 
45-4 
44-3 

43^2 
42.0 
40.8 
39-6 
38.4 

37-1 
35-9 
34-6 
33-3 
31^9 

30.6 
29.2 
27.8 
26.4 
25.0 

23^S 
22.0 
20.5 
19.0 

17.S 

16.0 
14.4 
12.9 
II-3 
9-7 

8,1 

6^5 
4.9 
32 
1.6 

0.0 


-        6 

I  ^   I 

^  =  38°  30' 


60' 


Page  264] 

I 

.235 

1.213 

1.192 

I 

a^SQ-'O' 

a  =  39°  30' 

a  =  40°0' 

V 

\  * 

\   <f   60' 

\   t 

A 

\  d 

60' 

\  * 

A 

\  d 

60' 

\  t       A 

\ 

*\ 

A  \  1 

z\ 

60' 

A  \ 

A 

L^X 

60' 

h\ 

A 

Z  \    6c/ 

^\ 

/8\ 

o 

0     / 

0      / 

0     / 

0  / 

0     / 

0      / 

^ 

0 

0 

0    0 

1.28 

39     0 

0.00 

0    0 

1,30 

39  30 

0.00 

0    0 

1.30 

40     0 

0.00 

90 

90.0 

I 

47 

1.30 

0 

.02 

46 

1.28 

30 

.02 

46 

1.30 

0 

.02 

89 

89.4 

2 

I   33 

1.28 

I 

.02 

I   33 

1.30 

31 

.02 

I  32 

1.30 

I 

.02 

88 

88.7 

3 

2  20 

1.28 

2 

.03 

2  19 

1.30 

32 

.03 

2  18 

1.30 

2 

•03 

87 

88.1 

4 

3     7 

1.30 

4 

.03 

3     5 

1.30 

34 

•03 

3     4 

1.30 

4 

•03 

86 

875 

5 

53 

1.28 

6 

0,05 

51 

1.28 

36 

0.05 

50 

1.30 

6 

0.05 

85 

86.8 

6 

4  40 

1.30 

9 

.07 

4  38 

1.30 

39 

•07 

4  36 

■•33 

9 

.07 

84 

86.2 

7 

5  26 

1.28 

13 

.07 

5  24 

1.30 

43 

.07 

5  21 

1.30 

13 

•07 

83 

85-5 

8 

6  13 

1.30 

17 

.07 

6  10 

1.30 

47 

.07 

6     7 

1.30 

17 

.07 

82 

84.9 

9 

59 

1.30 

21 

.08 

56 

1.30 

51 

.08 

53 

1.30 

21 

.08 

81 

84.2 

10 

7  45 

1.28 

26 

o.oS 

7  42 

1.30 

56 

0.08 

7  39 

'•33 

26 

0.08 

80 

83.6 

1 1 

8  32 

1.30 

31 

.10 

8  28 

1.30 

40  I 

.10 

8  24 

1.30 

31 

.10 

79 

83.0 

12 

9  18 

1.30 

37 

.12 

9  14 

1.30 

7 

.12 

9  10 

1.33 

Z7 

.12 

78 

82.3 

13 

10     4 

1.30 

44 

.12 

10     0 

1.30 

14 

.12 

55 

1.30 

44 

.12 

77 

81.6 

14 

50 

1.30 

51 

•'3 

46 

'•33 

21 

•13 

10  41 

'•33 

51 

.'3 

76 

81.0 

15 

II   36 

1.30 

59 

0.13 

II   31 

1.30 

29 

0.13 

II   26 

'•33 

59 

0.13 

75 

80.3 

16 

12  22 

1.30 

40     7 

•'5 

12   17 

'•33 

37 

•15 

12  II 

'•33 

41     7 

.15 

74 

79-7 

17 

13     8 

1.30 

16 

•  15 

13     2 

1.30 

46 

•'S 

56 

1.33 

16 

•15 

73 

79.0 

18 

54 

1.30 

25 

.17 

48 

1-33 

55 

•17 

13  41 

1.33 

25 

•17 

72 

78.3 

19 

14  40 

'•33 

35 

•17 

14  33 

1.33 

41  5 

.18 

14  26 

1-33 

35 

.18 

71 

77^6 

ao 

15   25 

1.33 

45 

0.18 

15  18 

1.33 

16 

0.18 

15  II 

'•33 

46 

o.i8 

70 

77-0 

21 

16  10 

1.33 

56 

.20 

16     3 

1.33 

27 

.20 

56 

1.33 

57 

.20 

69 

76.3 

22 

55 

1.33 

41      8 

.20 

48 

1-33 

39 

.20 

16  41 

1.36 

42     9 

.20 

68 

75-6 

23 

17  40 

'•33 

20 

.22 

17  32, 

'•33 

51 

.22 

17  25 

1.36 

21 

.22 

^7 

74-9 

24 

18  25 

1.33 

Zl 

•  23 

18  18 

1.36 

42  4 

.22 

18     9 

1.36 

34 

.23 

66 

74.2 

25 

19  10 

'•33 

47 

0.23 

19     2 

1.36 

17 

0.23 

53 

1^36 

48 

0.23 

65 

73-5 

2t) 

55 

I  ••3  3 

42     I 

.25 

46 

1.36 

31 

•25 

19  Z7 

1^36 

43     2 

•25 

^4 

72.8 

27 

20  40 

1.36 

16 

.27 

20  30 

1.36 

46 

.27 

20  21 

1.36 

17 

.27 

63 

72.0 

28 

21  24 

1.36 

32 

•27 

21    14 

1.36 

43  2 

.27 

21     5 

1.40 

3i 

.27 

62 

713 

29 

22     8 

1.36 

48 

.28 

58 

1.36 

18 

.28 

48 

1.40 

49 

.28 

61 

70.6 

30 

53 

1.36 

43     5 

0.2S 

22  42 

1.40 

35 

0.30 

22  31 

1.40 

44     6 

0.28 

60 

69.8 

31 

23   36 

1.40 

22 

•  32 

33  25 

1.40 

53 

.30 

23  14 

1.40 

23 

•32 

5§ 

69.1 

32 

24  19 

1.40 

41 

•  32 

lA      8 

1.40 

44 II 

.32 

57 

1.40 

42 

•32 

58 

68.3 

33 

25     2 

1.40 

44     0 

•33 

51 

1.40 

30 

•33 

24  40 

'•43 

45     I 

•33 

57 

67.6 

34 

45 

1.40 

20 

.33 

25  34 

'•43 

50 

•35 

25  22 

1.43 

21 

•33 

56 

66.8 

35 

26  28 

1.40 

40 

0-37 

26  16 

'•43 

45 II 

0-35 

26    4 

'•43 

41 

0.37 

55 

66.0 

36 

27  II 

1.43 

45     2 

.37 

•  58 

1-43 

32 

.37 

46 

1.46 

46     3 

•37 

54 

65.2 

37 

0   53 

1-43 

24 

.38 

27  40 

1.43 

54 

.38 

27  27 

1.46 

25 

•38 

53 

64.4 
63.6 

38 

28  35 

'•43 

47 

.4c 

28  22 

1.46 

46 17 

.40 

28     8 

1.46 

48 

.40 

52 

30 

29  17 

1.46 

46  II 

.40 

29     3 

1.46 

41 

.42 

49 

1.46 

47  12 

.40 

51 

62.7 

40 

58 

1.46 

35 

0-43 

44 

1.46 

47     6 

0.43 

29  30 

1.50 

36 

0.43 

50 

61.9 

41 

30  39 

1.46 

47     I 

•45 

30  25 

1.50 

32 

•43 

30  10 

1.50 

48     2 

•43 

^l 

61.1 

42 

31   20 

1.50 

28 

•45 

31      5 

1.50 

58 

•4S 

50 

1.50 

28 

•45 

48 

60.2 

43 

32     0 

1.50 

0  55 

.47 

45 

1.50 

48    2S 

.48 

31   30 

'•54 

55 

.48 

^z 

59-3 

44 

40 

1.50 

48  23 

.48 

32  25 

1.54 

54 

.48 

i2     9 

1.54 

49  24 

.48 

46 

S8^4 

45 

^3  20 

52 

33     4 

49  23 

48 

53 

45 

57-S 

a 

60' 

i 

A 

a 

60' 

h 

A 

a 

6c/ 

h 

A 

a 

t 

A 

60' 

A 

60' 

A 

60' 

c?  =  39°0' 

a 

f  =  39°30' 

(i  =  40°0' 

45 
46 
47 

48 

49 

50 

51 
52 
53 
54 

55 

56 

57 
58 

59 

6o 

6i 
62 
63 
64 

65 

66 

67 
68 
69 

70 

71 
72 

73 
74 

76 
77 
78 
79 

80 

81 
82 

83 
84 

85 

86 

87 


90 


1.235 


a  =  39°0' 


60' 

A 


_A_ 

6(y 


0        / 

0   / 

33   20 

«-S4 

48  52 

59 

1. 54 

49  23 

34  38 

1.54 

54 

35  17 

..5^ 

50  26 

55 

1.62 

59 

36   32 

1.62 

51  33 

37     9 

1.62 

52  9 

46 

1.67 

45 

38  22 

1. 71 

53  23 

57 

1. 71 

54  2 

39  32 

1. 71 

41 

40  7 

..76 

55  22 

41 

1.82 

56  4 

41  14 

1.88 

48 

46 

1.88 

57  33 

42  18 

1.94 

58  19 

49 

••94 

59  6 

43  20 

2.00 

.     54 

50 

2.07 

60  43 

44  19 

2.14 

61  34 

47 

2.22 

62  26 

45  14 

2-31 

63  20 

40 

2-31 

64  15 

46  6 

2.40 

65  II 

31 

2.50 

66  8 

55 

2-73 

67     6 

47  17 

2.73 

68  6 

.  29 

2.86 

69  7 

48  0 

3.00 

70  9 

20 

3.16 

71  12 

39 

3-33 

72  16 

57 

3-75 

73  22 

49  13 

3-75 

74  29 

29 

4.29 

75  36 

43 

4.62 

76   45 

56 

5.00 

77   54 

50  8 

^45 

79  4 

19 

6.00 

80  15 

29 

7.50 

81  27 

37 

8.S7 

82  39 

44 

1 0.0 

83  52 

50 

i<;.o 

85  5 

54 

20.0 

86  18 

57 

30.0 

87  32 

59 

60.0 

88  46 

51  0 

90  0 

0.52 

.52 

•S3 
•55 
•57 

0.60 
,60 

.63 
.65 

.65 

0.68 
.70 
•73 
•75 
•77 

0.78 
.80 
.82 
.8=; 


0.90 
.92 
•93 
•95 
•97 


A     I 

d  =  Z9°  0' 


60' 


1.213 


a  =  39°  30' 


60' 

A 


[Page  265 


_A 
6c/ 


0   / 

0 

/ 

33     4 

1.54 

49 

23 

0.50 

43 

1.58 

53 

•52 

34  21 

1.58 

50 

24 

•53 

59 

..58 

56 

•55 

35  37 

1.62 

SI 

29 

•57 

36  14 

1.62 

52 

3 

0.60 

51 

1.67 

39 

.60 

37   27 

..67 

53 

15 

.62 

38  3 

1. 71 

52 

•  63 

38 

1.76 

54 

30 

.67 

39  12 

1.76 

55 

10 

0.68 

46 

1.82 

51 

.70 

40  19 

1.82 

56 

33 

•72 

52 

1.88 

57 

16 

•73 

41  24 

1.88 

58 

0 

•77 

56 

1.94 

46 

0.77 

42  27 

2.00 

59 

32 

.80 

57 

2.07 

60 

20 

.82 

43  26 

2.14 

61 

9 

.8<; 

54 

2.14 

62 

0 

.85 

44  22 

2.22 

51 

0.88 

49 

2.31 

63 

44 

.9c 

45  15 

2.31 

64  38 

•93 

41 

2.  so 

65 

34 

•  93 

46  5 

2.50 

66 

30 

•97 

29 

2^73 

67 

28 

0.98 

51 

2.86 

68 

27 

1. 00 

47  12 

2.86 

69 

27 

1.02 

33 

3.00 

70 

28 

1.05 

53 

3^33 

71 

31 

1.05 

48  II 

3-33 

72 

34 

1.08 

29 

3-75 

73 

39 

i.oS 

45 

4.00 

74 

44 

1. 12 

49  0 

4.29 

75 

51 

1. 12 

14 

4.62 

76 

58 

'•13 

27 

5.00 

78 

6 

1.15 

39 

5.45 

79 

15 

1. 17 

50 

6.67 

80 

25 

1. 17 

59 

7-5° 

81 

35 

1. 18 

50  7 

^•57 

82 

46 

1.20 

14 

lO.O 

83 

58 

1.20 

20 

15.0 

85 

10 

1.20 

24 

20.0 

86 

22 

1.20 

27 

30.0 

87 

34 

1.22 

29 

60.0 

88 

47 

1.22 

30 

90 

0 

-    & 

!   A    i 
rf  =  39°30' 


_A_ 
6./ 


48 


a  =  40°0' 


60' 

A 


32  48 

33  26 

34  4 
42 

35  19 

36  32 

37  8 
43 

38  18 

52 

39  26 
59 

40  31 

41  3 

34 

42  4 

34 

43  3 
31 

58 

44  25 
51 

45  16 
40 

46  3 
25 
46 

47  6 
26 


44 
I 

17 

32 
46 

58 

49  10 
20 

29 
37 

44 
50 
54 

57 
59 

50  o 


94 

2.00 
2.00 
2.07 
2.14 
2.22 

2.22 

2^3> 

2.40 
2.50 
2.61 

2.73 
2.86 
3.00 
3.00 
3-33 

3^53 
3-75 
4.00 
4.29 
5.00 

5.00 
6.00 
5.67 
7.50 
8.57 

lO.O 

15.0 
20.0 
30.0 
60.0 


60' 
A 


49  53 

50  23 

54 

51  26 

59 

52  33 

53  8 
44 

54  21 
59 

55  39 

56  19 

57  I 
44 

58  28 

59  13 
59 

60  47 

61  35 

62  25 

63  16 

64  8 

65  2 
57 

66  53 

67  50 

68  48 

69  47 

70  47 

71  49 

72  51 

73  55 

75  o 

76  5 

77  II 

78  18 

79  26 

80  35 

81  44 

82  54 

84  4 

85  15 

86  26 

87  37 


90    o 


_A 

60' 


0.5c 
•52 
•53 
•55 
•57 

0.58 
,60 
.62 

.63 
.67 

0.67 

.70 
•72 
•73 
•75 

0.77 
.80 
.80 
•83 
•85 

0.87 
.90 
•92 
•93 
•95 

0.97 
.98 

1. 00 
•03 
•03 

.07 
.08 
.08 
1. 10 
1. 12 

.13 
■15 
••5 
••7 
•17 


1. 18 
.18 

1.20 


45 

44 
43 
42 
41 

40 

39 
38 

37 
36 

35 
34 
33 
32 
31 

30 

29 
28 

27 
26 

25 

24 
23 
22 
21 

20 

19 
18 

17 
16 

15 
14 
13 
12 
II 

10 

9 
8 

7 
6 

5 
4 
3 
2 
I 


57-5 
56.6 

5S7 
54-8 
53-8 

52.8 
51-9 
50-9 
49.8 
48.8 

47-7 
46.7 

45-6 
44-5 
43-4 

42.2 
41.1 
39-9 
38.7 

37-5 

36^2 

35-0 
33-7 
32^4 
3i^i 

29.8 
2S.4 
27.1 
25-7 
243 

22.8 
21.4 
19.9 
18.5 
17.0 

155 
14.0 
12.5 
10.9 
9.4 

7.8 
6.3 
4-7 
3^1 
1.6 

0.0 


rf  =  40°0' 


Page  256] 

I 

.171 

I. 

150 

1.130 

I 

a  =  40°  30' 

a  =  41°0' 

0  =  41°  30' 

\ 

\  * 

60' 
A 

\  <    A 
Z\  60' 

K 

60' 

A 

Z\ 

A 
60' 

60' 

A 

A 

60' 

A 

o 

0     / 

0     / 

0     / 

0     / 

0      / 

0          / 

0 

0 

O 

0    0 

1.30 

40  30 

0.00 

0    0 

'•33 

41    0 

0.00 

0    0 

'•33 

41    30 

0.00 

90 

90.0 

I 

46 

1-33 

30 

.02 

45 

'.30 

0 

.02 

45 

'•33 

30 

.02 

^2 

89-3 

2 

I  31 

1.30 

31 

.02 

I   31 

'•33 

I 

.02 

I    30 

'•33 

31 

.02 

88 

88.7 

3 

2  17 

'•33 

32 

•03 

2  16 

'•33 

2 

•03 

2  IS 

'•33 

32 

.03 

§7 

88.0 

4 

3     2 

1.30 

34 

.03 

3     I 

'•33 

4 

■03 

3     0 

'■33 

34 

•0? 

86 

87.4 

5 

48 

1.30 

36 

0.05 

46 

'•33 

6 

0,05 

45 

..36 

36 

©.or 

^5 

86.7 

6 

4  34 

'•33 

39 

.07 

4  31 

1.30 

9 

.07 

4  29 

'•33 

39 

.07 

^ 

86.1 

7 

5   19 

1.30 

43 

.07 

5   17 

'•33 

13 

.07 

5   14 

'•33 

43 

.07 

83 

85.4 

8 

6     5 

'•33 

47 

.07 

6     2 

'•33 

17 

.07 

59 

'•33 

47 

.07 

82 

84.7 

9 

50 

1.33 

51 

.08 

47 

'•33 

21 

.oS 

6  44 

'.36 

51 

.oS 

81 

84.1 

10 

7  35 

1.30 

56 

0. 10 

7  32 

'•33 

26 

0. 10 

7  28 

1.33 

56 

0. 10 

80 

83^4 

II 

8  21 

'•33 

41      2 

.10 

8   17 

'•33 

32 

.10 

8   13 

'■33 

42     2 

.10 

79 

82.7 

12 

9     6 

1.33 

8 

.10 

9     2 

'•33 

38 

.  10 

58 

..36 

8 

.10 

78 

82,1 

13 

51 

'•33 

14 

.12 

47 

1.36 

44 

.12 

9  42 

..36 

14 

.12 

77 

81.4 

14 

10  36 

'•33 

21 

•  13 

10  31 

'•33 

51 

.13 

10  26 

'•33 

21 

•'3 

76 

80.7 

I', 

II   21 

'•33 

29 

0.13 

1 1    16 

1.36 

59 

0,13 

II    II 

..36 

29 

0.13 

75 

80.0 

i6 

12     6 

'•33 

37 

•■'5 

12     0 

'•33 

42     7 

■'5 

55 

1.36 

37 

•'5 

74 

79^3 

17 

51 

1.36 

46 

•'5 

45 

1.36 

16 

•17 

12  39 

1.36 

46 

.17 

73 

78.7 

i8 

13  35 

••33 

55 

.'7 

13  29 

1.36 

26 

•17 

13  23 

1.36 

56 

•17 

72 

78.0 

19 

14  20 

1.36 

42     5 

.18 

14  13 

1.36 

36 

•17 

14     7 

..36 

43     6 

.18 

71 

77-3 

20 

15     4 

'•33 

16 

0.18 

57 

1.36 

46 

o.iS 

51 

1.40 

17 

0.18 

70 

76.6 

21 

49 

..36 

27 

.20 

15  41 

1.36 

57 

.20 

15   34 

1.36 

28 

.20 

69 

75.9 

22 

16  33 

1.36 

39 

.20 

16  25 

1.36 

43     9 

.22 

16  18 

1.40 

40 

.20 

68 

7S2 

23 

17  17 

1.36 

51 

.22 

17     9 

1.36 

22 

.22 

17      I 

1.40 

52 

.22 

f7 

74-4 

24 

18      I 

1.36 

43     4 

•23 

53 

1.40 

35 

.22 

44 

1.40 

44     5 

•23 

66 

73-7 

25 

45 

'•36 

18 

0.23 

18  36 

1.40 

48 

0.25 

18  27 

1.40 

19 

0.23 

65 

73-0 

26 

19  29 

1.40 

32 

•25 

19  19 

1.40 

44     3 

•25 

19   10 

1.40 

33 

•25 

64 

72.3 

27 

20  12 

1.40 

47 

.27 

20     2 

1.40 

18 

.25 

53 

'■43 

48 

.27 

f3 

7i^S 

28 

55 

1.40 

44     3 

.27 

45 

1.40 

33 

.27 

20  35 

'■43 

45     4 

■27 

62 

70.8 

29 

21  38 

1.40 

19 

.28 

21   28 

'•43 

49 

.28 

21   17 

'.43 

20 

,28 

61 

70.0 

30 

22  21 

1.40 

36 

0.30 

22  10 

'•43 

45     6 

0.30 

59 

'•43 

37 

0.30 

60 

&3 

31 

23      4 

'•43 

54 

.30 

52 

'•43 

24 

•32 

22  41 

'•43 

55 

•30 

59 

68.5 

32 

46 

'•43 

45   12 

•32 

^3  34 

'•43 

43 

•32 

23  23 

1.46 

46  13 

•32 

58 

^^•7 

33 

24  28 

'•43 

31 

.33 

24  16 

'•43 

46     2 

•33 

24    4 

1.46 

32 

.33 

57 

66.9 

34 

25   10 

1.43 

SI 

•35 

58 

1.46 

22 

•33 

45 

1.46 

52 

.33 

56 

66.1 

35 

52 

1.46 

46  12 

^•35 

25  39 

1.46 

42 

^•35 

25   26 

1.46 

47  12 

o^37 

55 

6S3 

36 

26  33 

..46 

33 

•37 

26  20 

1.46 

47     3 

•37 

26     7 

1.50 

34 

.37 

54 

64^5 

37 

27  14 

1.46 

55 

.38 

27     I 

1.50 

25 

•38 

47 

1.50 

56 

.38 

53 

63-7 

38 

55 

1.46 

47   18 

.40 

41 

1.50 

48 

.40 

27  27 

1.50 

48   19 

.38 

52 

62.9 

39 

28  36 

1.50 

42 

•42 

28  21 

1.50 

48   12 

.42 

28     7 

1.50 

42 

•  42 

51 

62.0 

40 

29  16 

1.50 

48     7 

V^ 

29     I 

1.50 

37 

0.42 

47 

'•54 

49     7 

0.42 

50 

61.2 

41 

56 

'•54 

32 

■43 

41 

'■54 

49     2 

•  43 

29  26 

'•54 

32 

.43 

^2 

60.3 

42 

30  35 

1.54 

58 

•45 

30  20 

'•54 

28 

•45 

30     5 

..58 

58 

•45 

48 

59^4 

43 

31    14 

'•54 

49  25 

.48 

59 

1.58 

55 

•47 

43 

..58 

50  25 

.47 

47 

58.5 

44 

53 

1.54 

54 

.48 

31   37 

..58 

50  23 

.48 

31   21 

..58 

53 

.48 

46 

57-6 

45 

T,2    32 

50  23 

32  15 

52 

59 

51   22 

45 

56.7 

60' 

A 

60' 

A 

60^ 

b 

A 

■L' 

a 

■ 

h       7- 

a 



h 



a, 



a 

t 

A 

"       60' 

A 

Oo' 

A 

60' 

a 

=  40°  SO' 

rf=4ro' 

d  =  4>i°30' 

1. 171 


1.150 


1. 130 


[Page  257 


a  =  40°  30' 


d\  60' 

A 


6(y 


a  =  41°0' 


A 


A^ 

6<y 


a  =  41°  30' 

60' 

A 


A^ 

60' 


45 

46 

47 
48 

49 

50 

51 
52 
5  3 
54 

55 

56 

57 
58 
59 

60 

61 
62 

63 
64 

65 

66 
67 
68 
69 

70 

71 
72 
73 
74 

75 

76 
77 
78 
79 

80 

Si 
82 

83 

84 

85 

80 

87 
88 

89 
90 


0   / 

0   / 

32  32 

..5S 

50  23 

0. 

33  10 

1.62 

53 

47 

1.62 

51  24 

34  24 

1.62 

55 

35   I 

1.62 

52  28 

38 

1.67 

53  2 

0. 

36  14 

1. 71 

37 

.( 

49 

1. 71 

54  13 

. 

37   24 

1.76 

50 

, 

58 

1.76 

55  28 

.< 

38  32 

1.82 

56  7 

0. 

39  5 

1.88 

47 

. 

37 

1.88 

57  28 

40  9 

1-94 

58  II 

40 

1.94 

54 

41  II 

2.00 

59  39 

0.' 

41 

2.00 

60  25 

42  1 1 

2.14 

61  12 

39 

2.14 

62  0 

43  7 

2.22 

50 

34 

2.31 

63  40 

0. 

44  0 

2.40 

64  32 

. 

25 

2.40 

65  25 

50 

2.50 

66  19 

45  14 

2.73 

67  14 

^6 

2.73 

68  II 

0. 

58 

2.86 

69  8 

46  19 

3.00 

70  6 

39 

3.16 

71  6 

58 

3-33 

72  7 

47  16 

3-53 

73     8 

33 

4.00 

74  II 

48 

4.00 

75  15 

48  3 

4.29 

76  19 

17 

5.00 

77   24 

29 

5.00 

78  30 

41 

6.00 

79  37 

51 

6.67 

80  45 

49  0 

7.-;o 

81  53 

8 

8.57 

83  1 

15 

12.0 

84  10 

20 

l.'.O 

85  20 

24 

20.0 

86  30 

27 

30.0 

87  40 

29 

60.0 

88  50 

30 

90  0 

0   / 

0   y 

3^   15 

..58 

W  52 

0. 

53 

1.62 

51  22 

33  30 

1.62 

S3 

34  7 

..67 

52  25 

43 

..67 

57 

35  19 

1.67 

53  31 

0. 

55 

1. 71 

54  6 

,( 

36  30 

..76 

42 

.( 

37  4 

..76 

55  18 

.( 

38 

1.82 

5(5 

. 

38  II 

1.82 

56  35 

o.< 

44 

1.88 

57  15 

. 

39  16 

1.88 

56 

48 

1.94 

58  38 

40  19 

2.00 

59  21 

49 

2.07 

60  6 

0. 

41  18 

2.07 

51 

47 

2.14 

61  38 

42  15 

2.14 

62  25 

43 

2-3« 

63  14 

43  9 

2.31 

64  4 

0. 

35 

2.40 

55 

44  0 

2.150 

65  48 

24 

2.<;o 

66  41 

48 

2.73 

67  36 

45  10 

2-73 

68  31 

0. 

32 

3.00 

69  28 

52 

3.00 

70  26 

46  12 

3-33 

71  25 

30 

3-33 

72  25 

48 

3-53 

73   25 

47  5 

4.00 

74  27 

I. 

20 

4.00 

75  30 

I, 

3S 

4.62 

76  33 

48 

5.00 

77  37 

48  0 

;.oo 

78   42 

12 

6.00 

79  48 

22 

6.67 

80  54 

31 

7-5° 

S2  I 

39 

1 0.0 

83  9 

45 

12.0 

84  17 

50 

iS.o 

85  25 

54 

20,0 

86  33 

57 

30,0 

87  42 

59 

60.0 

88  51 

49  0 

90  0 

03 


'3 


0   / 

0 

/ 

31  59 

1.62 

51 

22 

0. 

32  36 

1.62 

52 

33   13 

1.67 

52 

22 

49 

1.67 

54 

34  25 

..67 

53 

26 

35  I 

1. 71 

54 

0 

0. 

3(^ 

1.76 

35 

36  10 

..76 

55 

10 

, 

44 

..76 

46 

. 

37   18 

1.82 

56 

24 

, 

51 

1.88 

57 

3 

0. 

38  23 

1.88 

42 

, 

55 

1.94 

58 

23 

39  26 

2.00 

59 

5 

St 

2.00 

48 

40  26 

2.07 

60 

32 

0. 

55 

2.07 

61 

17 

41  24 

2.14 

62 

3 

52 

2.22 

50 

42  19 

2.31 

63 

38 

45 

2.40 

64 

28 

0. 

43  10 

2.40 

65 

19 

35 

2.  so 

66 

10 

59 

2.61 

67 

3 

44  22 

2-73 

57 

44 

2.86 

68 

52 

0. 

45  5 

3.00 

69  48 

2S 

3.00 

70  45 

45 

3-33 

71 

43 

46  3 

3-53 

72 

42 

I. 

20 

3-53 

73 

42 

37 

4,00 

74 

42 

52 

4.29 

75 

44 

47  6 

4.62 

76 

47 

19 

5.00 

77 

50 

31 

S-45 

78 

54 

42 

6.00 

79 

58 

52 

6.67 

81 

3 

48  I 

7.^0 

82 

9 

9 

1 0.0 

83 

16 

T  =; 

U.o 

84 

23 

20 

i,-.o 

85 

30 

24 

20.0 

86 

37 

27 

30.0 

^7 

44 

29 

60.0 

88 

52 

30 

90 

0 

,07 


45 
44 
43 
42 
41 

40 

3S 
38 
37 
36 

35 

34 
33 
32 
31 

30 

29 
28 
27 
26 

25 

24 
23 
22 
21 

20 

19 
18 

17 
16 

15 
14 
13 
12 
II 


56.7 
55-8 
54-9 
53-9 
530 

52.0 
510 

50.0 
49.0 
47-9 

46.9 
45-8 
44-7 
43-6 
42.5 

41-3 
40.2 
390 
37-8 
36.6 

35-4 
34-2 
32.9 
31-6 
30.3 

29.0 
27.7 
26.3 
25.0 
23.6 

22.2 
20.8 
19.4 
18.0 
16.S 

150 
13.6 
12. 1 
10.6 
9.1 

7.6 
6.1 
4.6 
3-0 
1-5 

0.0 


1±. 
^  =  40°  30' 


_A 
60' 


60' 
A 

(f  =  41°0' 


A 
6c/ 


60^ 
A 


6c/ 


^  =  4r30' 


55901°- 


Page  268] 


1^1 


1.072 


\b 

a=42°0' 

a  =4.2°  30' 

a  =  43°0' 

V 

60'  X    t 

A       Z\ 

60' 

60' 

A 

A 
60' 

60' 

1    A 

A 

60' 

'\ 

0 

0     / 

0      / 

0     / 

0       / 

0     / 

0      / 

^ 

0 

0    0 

'•33 

42     0 

0.00 

0    0 

1.36 

4-'   30 

0.00 

0    0 

1.36 

43     0 

0.00 

90 

90.0 

I 

45 

1.36 

0 

.02 

44 

'•33 

30 

.02 

44 

'.36 

0 

.02 

89 

89.3 

2 

I   29 

'•33 

I 

.02 

I   29 

1.36 

31 

.02 

I    28 

1.36 

I 

.02 

88 

88.6 

3 

2   14 

1.36 

2 

•03 

2   13 

1.36 

32 

•03 

2    12 

1.40 

2 

•03 

87 

88.0 

4 

58 

'•33 

4 

.03 

57 

..36 

34 

•03 

55 

1.36 

4 

•03 

86 

873 

5 

3  43 

'.36 

6 

0.05 

3  41 

..36 

36 

0.05 

3  39 

1.36 

6 

0.05 

85 

86.6 

6 

4  27 

'•33 

Q 

.07 

4  25 

'•36 

39 

.07 

4  23 

'.36 

9 

.07 

84 

85-9 

7 

5   12 

..36 

13 

.07 

5     9 

..36 

43 

.07 

5     7 

1.36 

13 

.07 

^3 

IH 

8 

.  56 

'•33 

17 

.07 

53 

1.36 

47 

.07 

51 

1.40 

17 

.07 

82 

84.6 

9 

6  41 

'.36 

21 

.08 

6  37 

'.36 

51 

.08 

6  34 

1.36 

21 

.08 

81 

839 

10 

7  25 

1.36 

26 

0. 10 

7  21 

,.36 

56 

0. 10 

7   18 

1.40 

26 

0. 10 

80 

?3-^ 

II 

8     9 

1.36 

32 

.10 

8     5 

'.36 

43     2 

.10 

8      I 

1.36 

32 

.10 

79 

82.5 

12 

53 

1.36 

38 

.12 

49 

..36 

8 

.12 

45 

1.40 

38 

.12 

78 

81.8 

13 

9  37 

..36 

45 

.12 

9  33 

1.40 

15 

.12 

9  28 

1.40 

45 

.12 

77 

81.1 

14 

10  21 

1.36 

52 

.12 

10  16 

'.36 

22 

•'3 

10   1 1 

1.36 

52 

.13 

76 

80.4 

15 

u     5 

..36 

59 

0.15 

II     0 

1.36 

30 

0.13 

55 

1.40 

44     0 

0.13 

75 

79-7 

16 

49 

1.36 

43     8 

•'5 

44 

1.40 

38 

•5 

II   38 

1.40 

8 

•15 

74 

79^0 

17 

12  33 

..36 

17 

•'5 

12   27 

1.40 

47 

.15 

12  21 

1.40 

17 

•  '5 

73 

78^3 

18 

13   17 

1.40 

26 

•'7 

13    10 

1.40 

56 

•17 

13     4 

'•43 

26 

•'7 

72 

77.6 

19 

14     0 

..36 

36 

.18 

53 

1.40 

44     6 

.18 

46 

1.40 

36 

.18 

71 

76.9 

20 

44 

1.40 

47 

0,18 

14  36 

1.40 

17 

0.18 

14  29 

1.40 

47 

0.18 

70 

76.2 

21 

15   27 

1.40 

58 

.20 

15   19 

1.40 

28 

.20 

15    12 

'•43 

58 

.20 

69 

7S5 

22 

16  10 

1.40 

44  10 

.20 

16     2 

1.40 

40 

.20 

54 

'•43 

45   10 

.20 

68 

74-7 

23 

53 

1.40 

22 

.22 

45 

'•43 

52 

.22 

16  36 

'•43 

22 

.22 

67 

74-0 

24 

17  36 

1.40 

35 

.23 

17  27 

'•43 

45     5 

.23 

17   18 

'•43 

35 

•23 

66 

733 

25 

18   19 

1.43 

49 

0.23 

18     9 

'•43 

19 

0.23 

18     0 

'•43 

49 

0.23 

65 

72.5 

26 

19     I 

'•43 

45     3 

•25 

51 

'•43 

33 

.25 

42 

1.43 

46     3 

•25 

^4 

71.8 

27 

43 

1.43 

18 

.27 

19  33 

'•43 

48 

•27 

19  24 

1.46 

18 

•27 

63 

71.0 

28 

20  25 

'•13 

34 

.27 

20  15 

'•43 

46     4 

•  27 

20     5 

1.46 

34 

•27 

62 

70.2 

29 

21     7 

'.43 

50 

.28 

57 

1.46 

20 

.28 

46 

1.46 

50 

.28 

61 

695 

30 

49 

1.46 

46     7 

0.30 

21   38 

1.46 

37 

0.30 

21   27 

1.46 

47     7 

0.30 

60 

68.7 

31 

22  30 

1.46 

25 

.30 

22  19 

1.46 

55 

.30 

22     8 

1.50 

25 

•30 

5§ 

67.9 

32 

23   II 

1.46 

43 

.32 

23     0 

1.46 

47   13 

.32 

48 

1.50 

43 

•32 

58 

67.1 

33 

52 

1.46 

47     2 

•33 

41 

1.50 

32 

•33 

23  28 

1.50 

48     2 

•33 

57 

66.3 

34 

24  33 

1.46 

22 

•33 

24  21 

1.50 

52 

•  33 

24     8 

1.50 

22 

•33 

56 

655 

35 

25   14 

1.50 

42 

0.37 

25     I 

1.50 

48   12 

^•35 

48 

1.50 

42 

o^35 

55 

64.7 

36 

.  54 

1.50 

48     4 

•37 

41 

1.50 

33 

•37 

25  28 

'•54 

49     3 

•37 

54 

639 

37 

26  34 

1.50 

26 

•38 

26  21 

'•54 

55 

•38 

26     7 

'•54 

25 

•38 

53 

63.0 

38 

27   14 

••54 

49 

.38 

27     0 

'•54 

49   iS 

.40 

46 

1.58 

48 

.40 

52 

62.2 

39 

53 

'•54 

49  12 

.42 

39 

1.58 

42 

.40 

27  24 

1.58 

50  12 

.40 

51 

61.3 

40 

28  32 

1.54 

37 

0.42 

28  17 

1.58 

50     6 

0.42 

28     2 

1.58 

36 

0.42 

50 

60.5 

41 

29  II 

..58 

50     2 

•43 

55 

1.58 

31 

•43 

40 

1.58 

5i      I 

•43 

4§ 

59^6 

42 

49 

..58 

28 

•45 

29  33 

1.58 

57 

.45 

29  18 

1.62 

27 

•45 

48 

58.7 

43 

30  27 

..58 

55 

•47 

30  II 

1.62 

51   24 

•47 

55 

1.62 

54 

•45 

47 

57^8 

44 

31     5 

1.62 

SI  23 

•47 

48 

1.62 

52 

•  48 

30  32 

1.62 

52  21 

.48 

46 

569 

45 

42 

51 

31   25 

52  21 

31     9 

50 

45 

56^0 

1 
a 

60' 

b 

A_ 

a 

60' 

b 

A 

a 

60' 

b 

A 

a. 

t 

A 

60' 

A  !! 

60' 

A 

6r/ 

rf  =  42°0' 

(^  =  42°  30' 

^  =  43°  0' 

I 

III 

1.091 

1.072 

[ 

Page 

259 

\b 

a  =  42°0' 

a =42°  30' 



a  =  43°0' 

\ 

\  * 

60' 

A 

A 

60' 

\    i   60' 
h    \^^    A 

Z\ 

A 

60' 

\  d 

60' 

A 

\  t 

z\ 

A 

60' 

A 

o 

0     / 

0       / 

0     / 

0     / 

0     / 

0      / 

0 

i> 

45 

31  42 

1.62 

51  51 

0.50 

31  25 

1.62 

52  21 

0.48 

31      9 

1.67 

52  50 

0.4S 

45 

56.0 

46 

32  19 

1.67 

52    21 

.52 

32     2 

1.67 

50 

•50 

45 

1. 71 

53  19 

.50 

44 

550 

47 

55 

1.67 

52 

•52 

38 

1. 71 

53  20 

•  53 

32  20 

1. 71 

49 

•52 

43 

54-1 

48 

33  31 

1.67 

53  23 

•53 

33  13 

1. 71 

52 

•53 

55 

1. 71 

54  20 

•53 

42 

53-1 

49 

34     7 

1. 71 

55 

.57 

48 

1. 71 

54  24 

•55 

33  30 

1.76 

52 

•55 

41 

52.1 

50 

42 

1.71 

54  29 

O.S7 

34  23 

..76 

57 

0.57 

34     4 

1.76 

55  25 

0.57 

40 

51-2 

51 

35   17 

..76 

55     3 

.58 

57 

1.76 

55  31 

.58 

38 

1.82 

59 

•58 

39 

50.2 

52 

51 

1.82 

38 

.62 

35  31 

1.82 

56     6 

.60 

35   II 

1.82 

56  34 

.60 

38 

49.2 

53 

36  24 

1.82 

56  15 

.62 

36     4 

1.82 

42 

.62 

44 

1.82 

57   10 

.62 

^l 

48.1 

54 

57 

1.82 

52 

.63 

37 

1.88 

57  19 

.63 

36  17 

1.94 

47 

.62 

36 

47.1 

55 

37  30 

1. 88 

57  30 

0.65 

37     9 

1.88 

57 

0.65 

48 

1.94 

58  24 

0.65 

35 

46.0 

56 

38     2 

1.94 

58     9 

.68 

41 

1.94 

58  36 

.68 

37   19 

1.94 

59     3 

.67 

34 

45-0 

57 

33 

1.94 

50 

.68 

38  12 

2.00 

59  17 

.68 

50 

2.00 

43 

.68 

33 

43-9 

58 

39     4 

2.00 

59  31 

•72 

42 

2.00 

58 

.70 

38  20 

2.07 

60  24 

.68 

32 

42.8 

59 

34 

2.0c 

60  14 

•72 

39  12 

2.07 

60  40 

•72 

49 

2.07 

61      5 

•72 

31 

41.7 

60 

40     4 

2.07 

57 

0.75 

41 

2.14 

61   23 

0.73 

39  18 

2.14 

48 

0.73 

30 

40^5 

61 

33 

2.14 

61  42 

•77 

40     9 

2.14 

62     7 

•75 

46 

2.22 

62  32 

.75 

29 

39-4 

62 

41      I 

2.22 

62  28 

.78 

37 

2.22 

52 

.78 

40  13 

2.22 

63   17 

•75 

28 

38.2 

63 

28 

2-3' 

63  15 

.78 

41     4 

2.31 

63  39 

.78 

40 

2.31 

64     2 

.78 

""l 

37-0 

64 

54 

2.31 

64     2 

.82 

30 

2.31 

64  26 

.82 

41     6 

2.40 

49 

.80 

26 

3S8 

65 

42  20 

2.40 

51 

0.83 

56 

2.40 

65  15 

0.82 

31 

2.50 

65   37 

0.82 

25 

34-6 

60 

45 

2.40 

65  41 

.85 

42  21 

2.50 

66     4 

•83 

55 

2.50 

66  26 

•  83 

24 

33^4 

67 

43   10 

2.61 

66  32 

.88 

45 

2.61 

54 

.87 

42  19 

2.61 

67  16 

.85 

23 

32.1 

68 

33 

2.61 

67  25 

.88 

43     8 

2.73 

67  46 

.88 

42 

2.73 

68     7 

.87 

22 

30.9 

69 

56 

2-73 

68  18 

.90 

30 

2.86 

68  39 

.88 

43     4 

2.86 

59 

.88 

21 

29.6 

70 

44   18 

2.86 

69  12 

0.92 

51 

2.86 

69  32 

0.90 

25 

3.00 

69  52 

0.88 

20 

28.3 

71 

39 

3.00 

70     7 

•93 

44   12 

3.16 

70  26 

•93 

45 

3.16 

70  45 

•92 

19 
18 

27.0 

72 

59 

3.. 6 

71     3 

•97 

31 

3.16 

71   22 

•93 

44     4 

3^33 

71   40 

•93 

257 

73 

45  18 

3-33 

72     I 

•97 

50 

3-33 

72  18 

•95 

22 

3-33 

72  36 

•93 

'I 
16 

24-3 

74 

36 

3-53 

59 

•98 

45     8 

3-53 

73  15 

.98 

40 

3^53 

73  32 

•95 

23.0 

75 

53 

3-75 

73   58 

1. 00 

25 

4.00 

74  14 

0.98 

57 

4.00 

74  29 

0.97 

15 

21.6 

76 

46     9 

4.00 

74  58 

1. 00 

40 

4.00 

75   13 

1. 00 

45  12 

4.00 

71  ^l 

.98 

14 

20.3 

77 

24 

4.29 

75   58 

1.03 

55 

4.29 

76  13 

1. 00 

27 

4.29 

76  26 

1. 00 

13 

18.9 

78 

38 

4.62 

77     0 

1.03 

46     9 

4.62 

77  13 

1.02 

41 

5.00 

77  26 

1. 00 

12 

'1-5 

79 

51 

5.00 

78     2 

1.05 

22 

5.00 

78  14 

1.03 

53 

5.00 

78  26 

1.02 

II 

16. 1 

80 

47     3 

6.00 

79     5 

1.07 

34 

6.00 

79  16 

1.05 

46     5 

6.00 

79  27 

1.03 

10 

14.6 

81 

13 

6.00 

80     9 

1.07 

44 

6.00 

80  19 

1.05 

15 

6.67 

80  29 

1.03 

9 
8 

13-2 

82 

23 

6.67 

81    13 

1.08 

54 

7.50 

81   22 

1.07 

24 

7.50 

81   31 

1.03 

II.8 

83 

32 

8.57 

82  18 

1.08 

47     2 

7.50 

82  26 

1.07 

32 

7.50 

^^  33 

1.05 

7 
6 

10.3 

84 

39 

8.57 

83  23 

1.08 

10 

lO.O 

83  30 

1.07 

40 

1 0.0 

83  36 

1.05 

8.8 

85 

46 

12.0 

84  28 

1. 10 

16 

12.0 

84  34 

1.08 

46 

12.0 

84  39 

1.07 

5 

7.4 

86 

51 

15.0 

85   34 

1. 10 

21 

15.0 

85   39 

1.08 

51 

15.0 

85  43 

1.07 

4 

5-9 

87 

55 

20.0 

86  40 

1. 12 

25 

20.0 

86  44 

1.08 

55 

20.0 

86  47 

1.07 

3 

4.4 

88 

58 

60.0 

S7  47 

1. 10 

28 

60.0 

87  49 

1.08 

58 

60.0 

87  51 

1.08 

2 

30 

89 

59 

60.0 

88  53 

1. 12 

29 

60.0 

88  54 

1. 10 

59 

60.0 

88  56 

1.07 

I 

i-S 

90 

48     0 

90     0 

30 

90     0 

47     0 

90     0 

0 

0.0 

a 

60' 

h 

_A 

a 

60' 

6 

A 

60' 
a       — 

6 

_A_ 

a 

t 

A 

60' 

A 

6c/ 

A 

6<y 

rf  =  42°0' 

d  =  42°  30' 

d  =  4S°Q' 

Page  260]         1054 


1.036 


1.018 


33 
34 

35 

36 
Zl 
38 
39 

40 

41 
42 

43 
44 

45 


a  =  43°  30' 


60' 


0   / 

0   / 

0  0 

..3b 

43  30 

44 

1.40 

30 

I  27 

1.3^ 

31 

2  II 

1.40 

32 

54 

1.36 

34 

3  38 

1.40 

36 

4  21 

1.40 

39 

5  4 

1.36 

43 

48 

1.40 

47 

fe  31 

1.40 

51 

7  14 

1.40 

56 

57 

1.40 

44  2 

8  40 

1.40 

8 

9  23 

1.40 

15 

10  6 

1.40 

22 

49 

1.40 

3° 

II  32 

1.40 

38 

12  15 

1.43 

47 

57 

1.40 

56 

13  40 

1.43 

45  6 

14  22 

1.43 

17 

IS  4 

1-43 

28 

46 

1-43 

40 

16  28 

1-43 

52 

17  10 

1.46 

46  5 

51 

1.46 

19 

18  32 

1.46 

33 

19  13 

1.46 

48 

54 

1.46 

47  4 

20  35 

1.46 

20 

21  16 

i.<;o 

Z7 

S6 

I. so 

55 

22  36 

1.50 

48  13 

23  16 

i.<;o 

32 

56 

1.54 

52 

24  35 

'•54 

49  12 

25  14 

1.54 

33 

53 

i.=;4 

55 

26  32 

1.58 

50  18 

27  10 

1.58 

41 

48 

1.62 

51  5 

28  25 

1.62 

30 

29  2 

1.62 

56 

39 

1.67 

52  23 

30  15 

1.67 

50 

51 

53  19 

A 

rf=43°30' 


.02 
•03 
•03 

0.05 
.07 
.07 
.07 


••3 

0.13 

•15 
•'? 

.17 
.i« 

0.18 


.23 

0.23 
.25 
.27 
.27 
.28 

0,30 
•3° 
.32 
•33 
•33 

0.35 

•  37 
.38 
.38 
.40 

0.42 
•43 
•45 

•  45 
.48 


_A 

(x/ 


a  =  44°0' 


60' 

A 


_A 
60' 


0   / 

0   / 

0  0 

1.40 

44  0 

43 

1.40 

0 

I  26 

1.36 

I 

2  10 

1.40 

2 

53 

1.40 

4 

3  36 

1.40 

6 

4  19 

1.40 

9 

5  2 

1.40 

13 

45 

1.40 

17 

6  28 

1.40 

21 

7  II 

1.43 

26 

53 

1.40 

32 

8  36 

1.40 

38 

9  19 

1-43 

45 

10  I 

1.40 

52 

44 

1.43 

45  0 

II  26 

1.43 

8 

12  8 

'•43 

17 

50 

'•43 

26 

13  32 

1.43 

36 

14  14 

1.43 

47 

56 

1-43 

58 

15  T,'^ 

1.46 

46  10 

16  19 

1^43 

22 

17  I 

1.46 

35 

42 

1.46 

49 

18  23 

1.46 

47  3 

19  4 

1.50 

18 

44 

1.46 

34 

20  25 

1.50 

SO 

21  5 

1.50 

48  7 

45 

1.50 

25 

22  25 

1-54 

43 

23  4 

1^54 

49  2 

43 

^•54 

21 

24  22 

1.54 

42 

25   I 

1.58 

50  3 

39 

1.58 

25 

26  17 

1.58 

47 

55 

1.62 

51  II 

27  32 

1.62 

35 

28  9 

1.62 

52  0 

46 

1.62 

25 

29  23 

1.67 

52 

59 

1. 71 

53  19 

30  34 

47 

—  0 

A     I 

d  =  44°  C 


.02 
.03 
•03 

0.05 

•07 
.07 
.07 
.08 


.13 
0.13 

•  15 

•  15 

•'7 
.18 

0.18 


•23 
0.23 

.25 
.27 
.27 


0.30 

•30 
.32 

•  32 
•35 

°^35 
•37 
.37 
.40 

.40 

0.42 
.42 

.45 
.45 
.47 


_A 
60' 


a  =  44°  30' 


60' 

A 


60' 


0   / 

0   / 

0  0 

1.40 

44  30 

o.c 

43 

1.40 

30 

.c 

I  26 

'•43 

31 

.< 

2  8 

1.40 

32 

.c 

SI 

1.40 

34 

,c 

3  34 

1.40 

36 

o.c 

4  17 

'•43 

39 

.c 

59 

1.40 

43 

.c 

5  42 

1.43 

47 

.c 

6  24 

1.40 

51 

.c 

7  7 

1.43 

56 

0. 

49 

1.40 

45  2 

8  32 

'•43 

8 

9  14 

••43 

15 

56 

1.43 

22 

10  38 

'•43 

30 

0. 

II  20 

'•43 

38 

12  2 

'.43 

47 

44 

'•43 

56 

13  26 

1.4ft 

46  6 

14  7 

1.43 

17 

0. 

49 

1.46 

28 

IS  30 

1.46 

40 

16  11 

1.46 

52 

52 

1.46 

47  5 

17  33 

'•5° 

19 

0. 

18  13 

..46 

33 

54 

1.50 

48 

19  34 

1.50 

48  4 

20  14 

1.50 

20 

54 

'•54 

17 

0. 

21  IZ 

'•54 

54 

22  12 

'•54 

49  12 

51 

'•54 

31 

23  30 

'•54 

51 

24   9 

1.58 

50  II 

0. 

47 

1.58 

32 

25  25 

..58 

54 

26  3 

1.62 

51  17 

40 

1.62 

40 

27  17 

1.62 

52  4 

0. 

54 

..67 

29 

28  30 

1.67 

54 

^Q  b 

..67 

53  21 

42 

1.71 

48 

30  17 

54  16 

^^    b 

A 


89 

88 

^7 
86 

85 

82 
81 

80 

79 

78 

77 
76 

75 
74 
73 
72 

71 

70 

69 
68 
67 
66 

65 

64 

63 
62 
61 

60 

59 
58 
57 
56 

55 
54 
53 
52 
51 

50 

49 
48 

46 
45 


90.0 

89^3 
88.6 

87.9 
87.2 

86.5 
85-8 
85.1 
84.4 

837 

83^0 
82.3 
81.6 
80.9 
80.2 

79-5 
78.7 
78.0 
77-3 
76^5 

75-8 
75-1 
74^3 
73-6 
72.8 

72.1 
71^3 
7o^5 
69.7 
68.9 

68.1 
67.1 
66.^> 

65-7 
64.9 

64.1 
63.2 
62.ZI 

61.5 
60.6 

59^8 
58^9 
58.0 

56.1 
SS-2 


60' 


I 

054 

1  036 

1.018 

[Page 

$261 

\ 

a  =  43°  30' 

a=44°0' 

a  =44°  30' 

\ 

\  ** 

\ 

d 

60' 

^  t 

A 

d 

60' 

\  ^ 

A       \ 

d 

60' 

~^x  < 

A 

\ 

A 

r 

\ 

A 

z\ 

60' 

r 

\j 

A 

Z\ 

60' 

h 

\ 

A 

2\ 

60' 

^\ 

P\ 

o 

0 

/ 

0      / 

0 

/ 

0       / 

0 

/ 

0      / 

0 

45 

?,o 

51 

..67 

53   19 

0.4S 

30 

34 

1.67 

53  47 

0.48 

30 

17 

1. 71 

54  16 

0.4S 

45 

55-2 

40 

31 

27 

1. 71 

48 

•50 

31 

10 

1. 71 

54  16 

•50 

52 

1.76 

45 

.48 

44 

54-3 

47 

32 

2 

1. 71 

54  18 

•52 

45 

..76 

46 

•52 

31 

26 

1.76 

55   14 

•52 

43 

53-3 

48 

37 

..76 

49 

•53 

32 

19 

1.76 

55  17 

•53 

32 

0 

1.76 

.  45 

•52 

42 

52-4 

49 

00 

1 1 

..76 

55  21 

•53 

53 

1.82 

49 

•53 

34 

1.82 

56  16 

•55 

41 

51-4 

50 

45 

1.76 

.  53 

0.57 

33 

26 

1.82 

56  21 

0.57 

33 

7 

1.82 

49 

0.55 

40 

50-4 

51 

34 

19 

1.82 

56  27 

.58 

59 

1.82 

55 

•57 

40 

1.88 

57  22 

•57 

39 

49.4 

^2 

52 

1.88 

57     2 

.58 

34 

32 

1.88 

57  29 

•58 

34 

12 

1.88 

56 

.58 

38 

43.4 

5  3 

35 

24 

1.88 

37 

,60 

35 

4 

1.94 

58     4 

.60 

44 

1.94 

58  31 

.60 

37 

47-3 

54 

56 

1.94 

58  13 

•63 

35 

1.94 

40 

.62 

35 

15 

2.00 

59     7 

.62 

36 

46-3 

55 

36 

27 

1.94 

51 

0.65 

36 

6 

2.00 

59  17 

0.65 

45 

2.00 

44 

0.62 

35 

45-2 

56 

58 

2.00 

59  30 

.65 

36 

2.00 

56 

.65 

36 

15 

2.07 

60  21 

.65 

34 

44.2 

57 

37 

28 

2.00 

60     9 

•67 

37 

6 

2.07 

60  35 

.67 

44 

2,07 

61     0 

.67 

33 

43-1 

58 

58 

2.07 

49 

.70 

35 

2.07 

61    15 

.68 

37 

13 

2.14 

40 

.68 

32 

42.0 

59 

38 

27 

2.14 

61   31 

.70 

38 

4 

2.14 

56 

.70 

41 

2.14 

62  21 

.68 

31 

40.9 

60 

55 

2.14 

62  13 

0.72 

32 

2.22 

62  38 

0.72 

38 

9 

2.22 

63     2 

0.70 

30 

39-7 

61 

39 

23 

2.22 

56 

•75 

59 

2.22 

63  21 

•72 

36 

2.31 

44 

.73 

29 

38^6 

62 

50 

2.31 

63  41 

•75 

39 

26 

2.31 

64     4 

•75 

39 

2 

2.40 

64  28 

•73 

28 

37.4 

63 

40 

16 

2.40 

64  26 

•77 

52 

2.40 

49 

•77 

27 

2.40 

65    12 

•75 

27 

36.3 

64 

41 

2.40 

65   12 

.80 

40 

17 

2.50 

65  35 

.78 

52 

2.50 

57 

.78 

26 

35^  I 

65 

41 

6 

2.50 

66     0 

0.80 

41 

2.50 

66  22 

0.80 

40 

16 

2.50 

66  44 

0.78 

25 

33^9 

66 

30 

2.61 

48 

.82 

41 

t; 

2.61 

67  10 

.80 

40 

2-73 

67  31 

.80 

24 

327 

67 

53 

2.61 

&7  37 

.85 

28 

2-73 

58 

.83 

41 

2 

2-73 

68   19 

.82 

23 

31-4 

68 

42 

16 

2.86 

68  28 

.85 

50 

2.86 

68  48 

.83 

24 

2.86 

69     8 

•83 

22 

30.2 

69 

37 

2.86 

69  19 

.87 

42 

II 

3.00 

69  38 

•87 

45 

3.00 

58 

•85 

21 

28.9 

70 

58 

3.00 

70  II 

0.88 

31 

3.00 

70  30 

0.87 

42 

5 

3.16 

70  49 

0.85 

20 

27.7 

71 

43 

18 

3.16 

7^     4 

.90 

51 

3.16 

71   22 

.88 

24 

3.16 

71  40 

.88 

19 

26.4 

72 

37 

3-33 

58 

.92 

43 

10 

3.33 

72  15 

.90 

43 

3^53 

72  33 

.88 

18 

25.1 

73 

55 

3-33 

72  53 

.92 

28 

3^53 

73     9 

.92 

43 

0 

3-53 

73  26 

.90 

17 

23.8 

74 

44 

13 

3-75 

73  48 

•95 

45 

3-75 

74     4 

•93 

17 

3-75 

74  20 

.92 

16 

22.4 

75 

29 

4.00 

74  45 

0.95 

44 

I 

4.00 

75     0 

0.93 

33 

4.00 

75   15 

0.92 

15 

21. 1 

76 

44 

4.29 

75  42 

•97 

16 

4.29 

.  56 

•95 

48 

4.62 

76  10 

•93 

14 

19.7 

77 

58 

4.29 

■j6  40 

.98 

30 

4.62 

76  53 

•97 

44 

I 

4.62 

77     6 

.95 

13 

18.4 

78 

45 

12 

5.00 

77  39 

.98 

43 

5.00 

77  51 

•97 

14 

5.00 

78     3 

.97 

12 

17.0 

79 

24 

S-45 

78  38 

1. 00 

55 

5^45 

78  49 

.98 

26 

5-45 

79     I 

•97 

II 

15-6 

80 

35 

5-45 

79  38 

1. 00 

45 

6 

6.00 

79  48 

1. 00 

37 

6,00 

59 

0.97 

TO 

14.2 

81 

46 

6.67 

80  38 

1.02 

16 

6.00 

80  48 

1. 00 

47 

6.67 

80  57 

.98 

9 

12.8 

82 

55 

7.50 

81   39 

1.03 

26 

7.50 

81  48 

1. 00 

56 

7.50 

81   56 

1. 00 

8 

11.4 

l^ 

46 

3 

8.57 

82  41 

1.03 

34 

8.57 

82  48 

1.02 

45 

4 

8.57 

82  56 

1. 00 

7 

lO.O 

84 

10 

10.0 

83  43 

1.03 

41 

1 0.0 

83  49 

1.02 

II 

lO.O 

83  56 

1. 00 

6 

8.6 

fs 

16 

12.0 

84  45 

1.05 

47 

15.0 

84  50 

1.03 

17 

15.0 

84  56 

1. 00 

5 

7.2 

86 

21 

15.0 

85  48 

1.05 

51 

15.0 

85   52 

1.03 

21 

15.0 

85   56 

1.02 

4 

5-7 

87 

25 

20.0 

86  51 

1.05 

55 

20.0 

86  54 

1.03 

25 

20.0 

86  57 

1.02 

3 

4-3 

88 

28 

60.0 

87  54 

1.05 

58 

60.0 

87  56 

1.03 

28 

60.0 

87  58 

1. 02 

2 

2.9 

89 

29 

60.0 

88  57 

i.os 

59 

60.0 

88  58 

1.03 

29 

60.0 

88  59 

1.02 

I 

1.4 

90 

30 

90     0 

46 

0 

90     0 

30 

90     0 

0 

0.0 

a 

60' 

h 

A 

z 

60' 

b 

A 

2 

60' 

h 

A 

a 

t 

A 

60' 

A 

60' 

A 

bo' 

^  =  43°  30' 

(Z  =  44°0' 

<i  =  44°30' 

Page  262] 

1 000 

0. 

?83 

0.966 

\b 

a  =  45°0' 

a  =  45°  30' 

a  =  46°0' 

\ 

V 

\rf 

60' 

\  * 

A 

\  d 

60' 

\  < 

A 

\  d 

60' 

\  ^  1    A 

A 

b\ 

A  \ 

A 

z  \ 

60' 

h\ 

A 

z\ 

60' 

k\ 

A 

z\ 

(or 

^\ 

o 

0     / 

0      / 

0    / 

0        / 

0     / 

0      / 

0 

0 

0 

0    0 

1-43 

45     0 

0.00 

0    0 

'•43 

45   30 

0.00 

0    0 

'•43 

46    0 

0.00 

90 

90.0 

I 

42 

1.40 

0 

.02 

42 

1.43 

30 

.02 

42 

1.46 

0 

.02 

89 

89^3 

2 

I    25 

'•43 

I 

.02 

I  24 

'•43 

31 

.02 

I  23 

'•43 

I 

.02 

88 

88.6 

3 

2    7 

1.40 

2 

.03 

2     6 

'•43 

32 

.03 

2     5 

'•43 

2 

.03 

f7 

87-9 

4 

50 

1-43 

4 

.03 

48 

'•43 

34 

.03 

47 

1.46 

4 

.03 

86 

87.1 

5 

3  32 

'•43 

6 

0.05 

3  30 

'•43 

36 

0.05 

3  28 

'•43 

6 

0.05 

85 

86.4 

" 

4  14 

1.40 

9 

.07 

4  12 

'•43 

39 

.07 

4  10 

1.46 

9 

.07 

84 

85^7 

7 

57 

'•43 

13 

.07 

54 

'•43 

43 

•07 

51 

'•43 

13 

.07 

83 

85.0 

8 

5  39 

1-43 

17 

.07 

1  ^^ 

'•43 

47 

.07 

5  33 

1.46 

17 

•07 

82 

84-3 

9 

6  21 

'•43 

21 

.08 

6  18 

1.43 

51 

.08 

6  14 

'•43 

21 

.08 

81 

83^6 

10 

7     3 

'•43 

26 

0. 10 

7     0 

1.46 

56 

0. 10 

56 

1.46 

26 

0. 10 

80 

82.8 

1 1 

0  45 

1.43 

32 

.10 

41 

'•43 

46     2 

.10 

7  37 

1.46 

32 

.10 

79 

82.1 

12 

8  27 

'•43 

38 

.12 

8  23 

1.46 

8 

.12 

8  18 

1.46 

38 

.12 

78 

81.4 

13 

9     9 

'•43 

45 

.12 

9     4 

'•43 

15 

.12 

59 

1.46 

45 

.12 

77 

80.7 

14 

51 

'•43 

52 

•13 

46 

1.46 

22 

•13 

9  40 

1.46 

52 

.13 

76 

79^9 

T- 

10  23 

'•43 

46    0 

0.13 

10  27 

1.46 

30 

0.13 

10  21 

1.46 

47     0 

0.13 

75 

79.2 

i'6 

II    15 

1.46 

8 

•IS 

II      8 

1.46 

38 

•'5 

II     2 

r.46 

8 

•15 

74 

78.4 

17 

56 

1.46 

H 

•15 

49 

1.46 

47 

•'S 

43 

..46 

17 

•15 

73 

77-7 

18 

12  i7 

1.46 

26 

•17 

12  30 

1.46 

56 

•17 

12  24 

1.50 

26 

•17 

72 

77.0 

19 

13    18 

1.46 

36 

.18 

13  II 

1.46 

47     6 

.18 

13     4 

1.46 

36 

.18 

71 

76.2 

20 

59 

1.46 

47 

0.18 

52 

1.46 

17 

0.18 

45 

1.50 

47 

0.18 

70 

75-4 

21 

14  40 

i.^r, 

58 

.20 

14  33 

1.50 

28 

.20 

14  25 

1.50 

58 

.20 

69 

74-7 

22 

15   21 

1.46 

47   10 

.20 

IS  13 

1.46 

40 

.20 

15     5 

1.50 

48   10 

.20 

68 

739 

23 

16     2 

1.46 

22 

.22 

54 

1.50 

52 

.22 

45 

1.50 

22 

.22 

\l 

73^2 

24 

43 

1.50 

35 

•  23 

16  34 

1.50 

48     5 

.23 

16  25 

1.50 

35 

.23 

66 

72.4 

25 

17  23 

1.50 

49 

0.23 

17  14 

1.50 

19 

0.23 

17     5 

1.54 

49 

0.23 

^s 

71.6 

26 

18     3 

1.50 

48     3 

•25 

54 

1.54 

33 

.25 

44 

'•54 

49     3 

•23 

64 

70.8 

27 

43 

1.50 

18 

•25 

18  33 

1.50 

48 

.25 

18  23 

1.54 

17 

.27 

^3 

70.0 

28 

19  23 

1.50 

33 

.27 

19  13 

'•54 

49     3 

.27 

19     2 

'•54 

33 

•27 

62 

69.2 

29 

20     3 

'•54 

49 

.28 

52 

1^54 

19 

.28 

41 

'•54 

49 

.28 

61 

68.4 

30 

42 

«-54 

49     6 

0.30 

20  31 

1.54 

36 

0.30 

20  20 

1.58 

50     6 

0.28 

60 

67.6 

31 

21   21 

'•54 

24 

.30 

21    10 

1.58 

54 

.30 

58 

1.58 

23 

.30 

59 

66.8 

32 

22     0 

'•54 

42 

■r- 

4f 

1.58 

50  12 

.30 

21   36 

1.^8 

41 

•32 

58 

66.0 

33 

^§ 

'•54 

50     I 

•32 

22  26 

1.58 

30 

.33 

22  14 

..58 

51     0 

•32 

57 

65.1 

34 

23   18 

1.58 

20 

•35 

23     4 

1.58 

50 

•33 

52 

1.62 

19 

•33 

56 

64^3 

35 

56 

1.58 

41 

^•35 

42 

1.58 

51    10 

^•35 

23  29 

1.62 

39 

0-35 

55 

635 

sO 

-'4  34 

1.62 

51      2 

.35 

24  20 

1.62 

31 

•37 

24     6 

1.62 

52     0 

•37 

54 

62.6 

37 

25   II 

1.62 

2^ 

•  38 

57 

1.62 

53 

•37 

43 

1.67 

22 

.37 

53 

61.7 

38 

.  48 

1.62 

46 

.38 

25   34 

1.62 

52  15 

.38 

25   19 

..67 

44 

•  38 

52 

60.9 

39 

26  25 

1.62 

52     9 

.40 

26  II 

..67 

38 

.40 

55 

1.67 

53     7 

.40 

51 

60.0 

40 

27     2 

..67 

33 

0.42 

47 

1.67 

53     2 

0.40 

26  31 

1.67 

31 

0.40 

50 

59-1 

41 

0   38 

..67 

58 

.42 

27  23 

1. 71 

26 

.43 

27     7 

1. 71 

55 

.42 

^l 

58^2 

42 

28   14 

1.67 

53  23 

•43 

58 

1. 71 

52 

•43 

42 

1. 71 

54  20 

•43 

48 

57-3 

43 

50 

1. 71 

49 

.45 

28  ii 

1. 71 

54  18 

•45 

28  17 

1.7^. 

46 

•45 

47 

56.4 

44 

29   25 

1. 71 

54  16 

•47 

29     8 

1. 71 

45 

•45 

SI 

..76 

55  13 

•45 

46 

55-4 

45 

30     0 

44 

43 

55   12 

29  25 

40 

45 

54-5 

a 

60' 

6 

A 

a 

60' 

6 

_A^ 

a 

60' 

h 

A 

a 

t 

A 

6(y 

A 

60' 

A 

6c/ 

(Z  =  45°0' 

iZ  =  45*'30' 

d  =  46°0' 

1. 000 


0.983 


0.966 


[Page  263 


45 

46 

47 
48 

49 
50 

^  I 
52 

53 

54 

55 

^o 

57 
58 

59 

60 

61 
62 
63 

64 

65 

(yo 
67 
68 
69 

70 

71 
72 
73 
74 

75 

70 
77 
78 
79 

80 

82 

83 
84 

85 

8  b 

87 
88 
89 

90 


60' 

A 


0   / 

0   / 

30  0 

1.76 

54  44 

34 

1.76 

55  13 

^i  8 

1.76 

42 

42 

i.8z 

56  13 

32  IS 

1. 82 

44 

48 

1.88 

57  16 

33   20 

1.88 

49 

52 

1.94 

58  23 

34  23 

1.94 

58 

54 

2.00 

59  33 

35  24 

2.07 

60  10 

53 

2.07 

47 

36  22 

2.07 

61  26 

51 

2.14 

62  5 

37   19 

2.22 

45 

46 

2,11 

63   26 

38  12 

2.31 

64  8 

38 

2.40 

,     51 

39  3 

2.50 

fi  35 

27 

2.50 

66  20 

51 

2.61 

67  5 

40  14 

2.73 

52 

36 

2.73 

68  40 

58 

2.86 

69  28 

41  19 

3.00 

70  17 

39 

3..  6 

71  7 

58 

3-33 

58 

42  16 

3-53 

72  50 

33 

3-75 

73   42 

49 

3-75 

74  35 

43   5 

4.29 

75  29 

19 

4.29 

76  24 

33 

4.62 

77   19 

46 

5-45 

78   15 

57 

5-45 

79  12 

44  8 

6.00 

80  9 

18 

6.67 

81  7 

27 

«.57 

82  5 

34 

^.^7 

83  3 

41 

1 0.0 

84  2 

47 

12.0 

85  I 

52 

20.0 

86  0 

55 

20.0 

87  0 

58 

60.0 

88  0 

59 

60.0 

89  0 

45  0 

90  0 

^    b 

A     I 


A 
60' 

0.4S 
.48 

•52 
•52 
•S3 

0.55 

•57 
.58 
.58 
.62 

0.62 

.6; 
.6s 
.67 


0.70 
•72 
•73 
•75 
•75 

0.78 
.80 
.80 
.82 
.83 

0.85 
.87 
.87 
.88 
.90 

0.92 

.02 

•93 
•95 
•95 

0.97 
•97 
•97 


o.c 
1. 00 
1. 00 
1. 00 
1. 00 


_A 
60' 


a  =45°  30' 


55  12 

41 

56  10 
40 

57  II 

43 

58  16 

50 

59  24 
59 

60  36 

61  13 

51 

62  30 

63  9 

50 

64  32 

65  14 
57 

66  42 

67  27 

68  13 

69  6 
48 

70  36 

71  25 

72  15 

73  6 
58 

74  51 

75  44 

76  38 

77  32 

78  27 

79  23 

80  19 

81  16 

82  13 

83  10 

84  8 

85  6 

86  5 

3 
2 
I 


0 

/ 

29 

43 

..70 

30 

17 

t.82 

SO 

1.82 

31 

2^ 

1.82 

56 

1.88 

^2 

28 

1.88 

33 

0 

1.88 

32 

1.94 

34 

3 

2.00 

33 

2.00 

35 

3 

2.07 

32 

2.14 

^6 

0 

2.14 

28 

2.14 

56 

2.22 

37 

23 

2.31 

49 

2.40 

38 

14 

2.40 

39 

2.50 

39 

3 

2.61 

26 

2.61 

49 

2.73 

40 

1 1 

2.86 

32 

3.00 

52 

3.00 

41 

12 

3^33 

30 

3.33 

48 

3.53 

42 

5 

3-75 

21 

3^75 

37 

4.29 

51 

4.29 

43 

5 

5.00 

17 

5.0c 

29 

6.00 

39 

6.00 

49 

7.50 

57 

7.50 

44 

5 

8.57 

12 

12.0 

17 

12.0 

22 

20.0 

2S 

20.0 

28 

60.0 

29 

60.0 

30 

87 

88 
89 


90     o 


^         b 
A 


A^ 

60'' 

0.48 
.48 

•50 

•52 

•53 

^•55 
•57 
•57 
.58 
.62 

0.62 

.63 
.65 
.65 


0.70 
.70 
.72 
•75 
.75 

0.77 
.78 
.80 
.80 
.82 

0.83 
•85 
•87 
.88 
.88 

0.90 
.90 
.92 
.93 
•93 

0.95 
•95 
•95 
.97 
•97 

0.98 
•97 


.98 


A^ 

60' 


a  =  46''0' 


60' 

A 


0  / 

0   / 

29  25 

1.7b 

55  40 

0.. 

59 

1.82 

56  9 

.<: 

30  32 

r.82 

38 

31  5 

1.8S 

57  8 

. 

37 

1.88 

39 

. 

32  9 

'•94 

58  10 

0. 

40 

1.94 

43 

. 

33   II 

1.94 

59  16 

42 

2.00 

50 

. 

34  12 

2.07 

60  25 

,( 

41 

2.07 

61  1 

0. 

35  10 

2.14 

38 

. 

38 

2.14 

62  IS 

,( 

36  6 

2.22 

.     54 

. 

33 

2.31 

63  33 

. 

59 

2.31 

64  14 

0. 

37   25 

2.40 

55 

50 

2.50 

65  37 

38  14 

2.  so 

66  20 

. 

38 

2.61 

67  3 

• 

39  I 

2.73 

48 

0. 

23 

2.73 

68  33 

45 

2.86 

69  20 

40  6 

3.00 

70  7 

26 

3.. 6 

55 

• 

45 

3^33 

71  43 

0. 

41  3 

3-33 

72  33 

21 

3-53 

73   23 

38 

3-75 

74  14 

. 

54 

4.00 

75  6 

42  9 

4.29 

S8 

0. 

23 

4.62 

76   SI 

3b 

5.00 

77   45 

48 

5.00 

78  39 

43  0 

6.00 

79  34 

10 

6.00 

80  29 

0. 

20 

7^5o 

81  25 

28 

8.57 

82  21 

35 

8.57 

83  17 

42 

12.0 

84  14 

47 

12.0 

85  u 

0. 

52 

20.0 

86  9 

55 

20.0 

87     6 

S8 

60.0 

88  4 

59 

60.0 

89  2 

• 

44  0 

90  0 

^°'    b 

A 


_A 
60' 

48 
48 
5= 
52 
52 

55 
55 
57 
58 
60 

62 
62 
6s 

65 
68 


A^ 
60' 


45 
44 
43 
42 

41 
40 

39 
38 
37 
36 

35 
34 
33 
32 
31 

30 

29 
28 
27 
26 

25 

24 
23 
22 
21 

20 

19 
18 

17 
16 

15 
14 
13 
12 
II 

10 

9 
8 

7 
6 

5 
4 
3 
2 
I 


54-5 
53-6 
52.6 

51^6 
50-6 

49.6 
48.6 
47.6 
46.6 
45-5 

44-S 
43-4 
42^3 
41.2 
40.1 

39^0 
37^9 
36^7 
35-5 
34^4 

33-2 
32.0 
30.8 

295 
28.3 

27.0 
25.8 

24s 
23.2 
21.9 

20.6 

19-3 
17.9 
16.6 

15-2 

i3^9 

12.S 

II. 2 

9.8 

8.4 

7.0 
5-6 
4.2 
2.8 
1.4 

0.0 


Page  264]         0.949 


0933 


0.916 


1^ 

a  =  46°  30' 

a  =  47°0'           1          a  =47°  30' 

f^ 

\  * 

\     rf     6c/ 
A  \     A 

Z\ 

A 

60' 

60' 

A 

A 
6& 

6(y 

A 

\  t 

z\ 

A 

60' 

A 

0 

0      / 

0     / 

0     / 

0      / 

0    / 

0      / 

0 

0 

0     0 

1.46 

4b  30 

0.00 

0    0 

..46 

47     0 

0.00 

0    0 

1.46 

47  30 

0.00 

90 

90.0 

I 

41 

1.43 

30 

.02 

41 

1.46 

0 

.02 

41 

1.50 

30 

.02 

8q 

893 

2 

I    23 

1.46 

31 

.02 

I  22 

1.46 

I 

.02 

I  21 

1.46 

31 

•02 

88 

88.5 

3 

2     4 

..46 

32 

•03 

2    3 

..46 

2 

•03 

2    2 

1.50 

32 

•03 

87 

87.8 

4 

45 

1.46 

34 

•03 

44 

1.46 

4 

•°3 

42 

1.46 

34 

.03 

86 

87.1 

5 

3  26 

'•43 

36 

0.05 

3  25 

1.50 

6 

0.05 

3  23 

1.50 

36 

0.05 

85 

86.3 

0 

4     8 

1.46 

39 

.07 

4     5 

1.46 

9 

.07 

4     3 

1.50 

39 

•07 

84 

85.6 

7 

49 

1.46 

43 

.07 

46 

1. 46 

13 

.07 

43 

1.46 

43 

.07 

83 

84.9 

8 

5  30 

1.46 

47 

.07 

5  27 

1.50 

17 

.07 

5  24 

1.50 

47 

.07 

82 

84.1 

9 

6  II 

1.46 

SI 

.08 

6     7 

1.46 

21 

.08 

6     4 

1.50 

51 

.08 

81 

834 

10 

52 

1.46 

56 

olio 

48 

1.46 

26 

0. 10 

44 

1.50 

56 

0. 10 

80 

82.7 

1 1 

7  12, 

1.46 

47     2 

.10 

7  29 

1.50 

32 

.10 

7  24 

1.50 

48     2 

.  10 

79 

81.9 

12 

8  14 

..46 

8 

.12 

8     9 

1.50 

38 

.12 

8     4 

1.50 

8 

.10 

78 

81.2 

13 

55 

1.50 

15 

.12 

49 

1.46 

45 

.12 

44 

1.50 

14 

.12 

77 

80.4 

14 

9  35 

1.46 

22 

•13 

9  30 

1.50 

52 

•13 

9  24 

1.50 

21 

•'3 

76 

797 

IS 

10  16 

1.50 

3° 

0.13 

10  10 

1.50 

48     0 

0.13 

10     4 

1.50 

29 

0.13 

75 

78.9 

16 

56 

1.46 

38 

•'5 

50 

1.50 

8 

•15 

44 

1.50 

37 

•  I  ^ 

74 

78.2 

17 

II   Z7 

1.50 

47 

•15 

II   30 

1.50 

17 

•15 

II    24 

••54 

46 

•'7 

73 

77-4 
76.6 

18 

12  17 

1.50 

56 

••7 

12   10 

1.50 

26 

•17 

12      3 

1.50 

56 

•>7 

72 

19 

57 

1.50 

48     6 

.18 

50 

'•54 

36 

•17 

43 

'•54 

49     6 

.'7 

71 

7S9 

20 

13  n 

1.50 

17 

0.18 

13  29 

1.50 

46 

0.18 

13  22 

'•54 

16 

0.18 

70 

75-1 

21 

14  17 

1.50 

28 

.20 

14     9 

1.54 

57 

.20 

14     I 

'•54 

27 

.20 

69 

74-3 

22 

5^ 

1.54 

40 

.20 

48 

'•54 

49     9 

.20 

40 

'•54 

39 

.20 

68 

73-5 

23 

15  36 

1.50 

52 

.22 

IS  27 

1-54 

21 

.22 

15   19 

1.58 

51 

.22 

67 

72.8 

24 

16  16 

1.54 

49     5 

22 

16     6 

'•54 

34 

.23 

57 

1.5S 

50     4 

•23 

66 

72.0 

25 

55 

1.54 

18 

0.23 

45 

'•54 

48 

0.23 

16  35 

1.58 

18 

0.23 

65 

71.2 

26 

17  34 

1.54 

32 

.25 

17  24 

1.58 

50     2 

•25 

17  13 

1.58 

32 

•23 

64 

70.4 
69.6 

27 

18  13 

1.58 

47 

.25 

18     2 

..58 

17 

•25 

51 

1.58 

46 

•25 

63 

28 

51 

1.54 

50     2 

.27 

40 

..58 

32 

.27 

18  29 

1.58 

51      I 

•27 

62 

68.8 

29 

19  30 

1.58 

18 

.28 

19  18 

..58 

48 

,28 

19     7 

1.58 

17 

.28 

61 

67.9 

30 

20     8 

1.58 

35 

0.28 

56 

1.58 

51     5 

0.28 

45 

1.62 

34 

0.28 

60 

67.1 

31 

46 

\.^% 

52 

.30 

20  34 

1.62 

22 

.30 

20  22 

1.62 

51 

.30 

5^ 

66.3 

32 

21  24 

1.62 

51   10 

•32 

21   1 1 

1.62 

40 

.30 

59 

1.62 

52     9 

.32 

58 

n-i 

33 

22     I 

1.62 

29 

•32 

48 

1.62 

58 

.32 

21   36 

1.67 

28 

.32 

57 

34 

38 

1.62 

48 

•33 

22  25 

1.62 

52  17 

•33 

22  12 

1.67 

47 

•33 

56 

637 

35 

23  15 

1.62 

52     8 

0-35 

23     2 

..67 

37 

0-35 

48 

1.67 

53     7 

^•33 

55 

62.9 

36 

52 

1.67 

29 

•37 

38 

..67 

58 

•35 

23  24 

..67 

27 

•  35 

54 

62.0 

1>7 

24  28 

1.67 

51 

•37 

24  14 

1.67 

53   19 

•37 

24     0 

1. 71 

48 

•37 

53 

61.1 

38 

25     4 

1.67 

53  13 

•38 

50 

1. 71 

41 

•38 

35 

1.71 

54  10 

.38 

52 

60.3 

39 

40 

1.67 

36 

.38 

25  25 

1. 71 

54     4 

.40 

25   10 

1.76 

33 

.38 

51 

594 

40 

26  16 

1. 71 

59 

0.40 

26    0 

1. 71 

28 

0.40 

44 

..76 

56 

0.40 

50 

57^5 

41 

51 

1.7! 

54  23 

.42 

35 

1.76 

52 

•42 

26  18 

..76 

5  5  20 

.42 

40 

4^ 

27  26 

..76 

48 

•43 

27     9 

1.76 

55  17 

.42 

52 

..76 

45 

.42 

48 

56^6 

43 

28     0 

1.76 

55   14 

•45 

43 

1.76 

42 

•45 

27  26 

1.82 

56  10 

•  43 

47 

55-7 

44 

34 

..76 

41 

•45 

28   17 

1.82 

56     9 

•45 

59 

1.82 

36 

•45 

46 

54^8 

45 

29     8 

56     8 

50 

36 

28  32 

57     3 

45 

53.8 

60' 
a       — 

& 

A 

a 

60' 

b 

A 

a 

60' 

6 

A 

a 

t 

A 

60' 

A 

6(y 

A 

60' 

r/  =  46°30' 

d=^ro' 

d  =  M°ZO' 

0. 

?49 

0933 

0.916 

[Page  265 

\ 

fl-46°30' 

a  =  47^0' 

a  =  47°  30' 

\ 

V 

\ 

d 

60' 

X  t 

A 

^ 

d 

60'  X    t 

A 

\ 

d 

60' 

\   t 

A 

»\ 

A 

A 

\ 

A 

z\ 

60' 

r 

\ 

A       Z\ 

60' 

r 

N 

A 

z\ 

Cc/ 

^\ 

o 

0 

/ 

0      / 

0 

/ 

0       / 

0 

/ 

0      / 

0 

0 

45 

29 

8 

1.82 

s6     8 

0.47 

28 

50 

1.82 

56   36 

0.47 

28 

32 

1.82 

57     3 

0.47 

45 

53^8 

46 

41 

1.S2 

36 

.48 

29 

23 

1. 88 

57     4 

.48 

29 

5 

1.88 

.  31 

.48 

44  i 

529 

47 

30 

14 

i.SS 

57     5 

.50 

55 

1.88 

33 

.48 

37 

'•94 

58     0 

.48 

43 

51^9 

48 

46 

I.8S 

35 

.52 

30 

27 

1.88 

58     2 

•52 

JO 

8 

1.94 

29 

.50 

42 

509 

49 

31 

18 

1.94 

58     6 

'52 

59 

1.94 

33 

•52 

39 

'•94 

59 

•52 

41 

49.9 

50 

49 

'•94 

17 

0-53 

31 

30 

2.00 

59     4 

0.53 

31 

10 

2.00 

59  30 

'^•53 

40 

48.9 

51 

32 

20 

1.94 

59     9 

•55 

32 

0 

2.00 

.     36 

.53 

40 

2.00 

60     2 

•53 

3§ 

47-9 

52 

51 

2.0Q 

42 

•57 

30 

2.00 

60     8 

•57 

i^ 

10 

2.07 

.     34 

.55 

38 

46.9 

53 

IZ 

21 

2.07 

60  16 

.58 

i2> 

0 

2.07 

42 

•57 

39 

2.07 

61      7 

•57 

H 

45-9 

54 

50 

2.07 

SI 

.58 

29 

2.07 

61    16 

.60 

12, 

8 

2.14 

41 

.58 

36 

44.8 

55 

34 

19 

2.07 

61  26 

0.62 

58 

2.14 

52 

0.60 

36 

2.14 

62   16 

0.60 

35 

43-8 

56 

48 

2.14 

62     3 

.62 

34 

26 

2.22 

62  28 

.60 

34 

4 

2.22 

.     52 

.62 

34 

42.7 

'r.7 

35 

16 

2.22 

40 

.63 

53 

2.22 

63     4 

•63 

31 

2.31 

63  29 

.62 

33 

41.6 

^8 

43 

2.22 

63  18 

.65 

35 

20 

2.31 

42 

.65 

57 

2.3' 

64     6 

•63 

32 

40^5 

59 

36 

10 

2-3' 

57 

.67 

46 

2.31 

64  21 

.65 

35 

23 

2.40 

44 

.65 

31 

39-4 

60 

36 

2.40 

64  37 

0.68 

1>^ 

12 

2.40 

65     0 

0.67 

48 

2.40 

65   23 

0.67 

30 

38^3 

DI 

17 

1 

2.40 

65   18 

.68 

}>7 

2.50 

40 

.68 

ze 

13 

2.50 

66     3 

.67 

29 

37-2 

62 

26 

2.<;o 

59 

.70 

17 

I 

2.50 

66  21 

.70 

Z7 

2.61 

.     43 

.70 

28 

36.0 

^l 

50 

2.61 

66  41 

•73 

25 

2.61 

67     3 

•72 

1,7 

0 

2.61 

67  25 

.70 

27 

34-9 

64 

38 

13 

2.61 

67  25 

•73 

48 

2-73 

46 

•73 

23 

2.73 

68     7 

•72 

26 

33-7 

65 

36 

2-7? 

68     9 

0.75 

38 

10 

2-73 

68  30 

0.73 

4  5 

2.86 

.     50 

0.73 

25 

32^5 

60 

58 

2.86 

54 

•75 

32 

2.86 

69  14 

•75 

38 

6 

2.86 

69  34 

•73 

24 

313 

67 

39 

io 

3.00 

69  39 

.78 

53 

3.00 

59 

■71 

27 

3.00 

70  18 

•75 

23 

30.1 

68 

39 

3.00 

70  26 

.78 

39 

13 

3.00 

70  45 

•11 

47 

3.. 6 

71      3 

•11 

22 

28.9 

69 

59 

3-16 

71    13 

.80 

11 

3^33 

71   31 

.80 

39 

6 

3-33 

49 

.78 

21 

27.7 

70 

40 

18 

3.33 

72     I 

0.82 

SI 

3-33 

72   19 

0.80 

24 

3-33 

72  36 

0.78 

20 

26.5 

71 

36 

3-53 

50 

.82 

40 

9 

3^53 

71     7 

.82 

42 

3-53 

73  23 

.80 

19 

25.2 

72 

53 

3-53 

7'>>  39 

.83 

26 

3-75 

56 

.82 

59 

3-75 

74  II 

.82 

18 

24.0 

73 

41 

10 

3-75 

74  29 

.85 

42 

3-75 

74  45 

•83 

40 

!■; 

4.00 

75     0 

.82 

^l 

22.7 

74 

26 

4.29 

75  20 

.87 

58 

4.29 

75  35 

.85 

30 

4.29 

49 

.83 

16 

21.4 

75 

40 

4.29 

76  12 

0.87 

41 

12 

4.29 

76  26 

0.85 

44 

4.29 

7^  39 

0.85 

15 

20.1 

76 

54 

4.62 

77     4 

.88 

26 

4.62 

77  17 

.87 

58 

^.00 

77  30 

•85 

14 

18.8 

77 

42 

7 

5.00 

57 

.88 

39 

5.00 

78     9 

.88 

41 

10 

5.00 

78  21 

.87 

13 

'I'^ 

78 

19 

5.00 

78  50 

.90 

51 

5^45 

79     2 

.88 

22 

5-45 

79  13 

.87 

12 

16.2 

79 

31 

6.00 

79  44 

.90 

42 

2 

6.  CO 

SS 

.88 

33 

6.00 

80     5 

.88 

II 

14.9 

80 

41 

6.67 

80  38 

0.92 

12 

6.67 

80  48 

0.90 

43 

6.67 

58 

0.88 

:o 

13^6 

81 

50 

7.50 

81   33 

•93 

21 

7.50 

81   42 

.90 

52 

7.50 

81    51 

.88 

I 

12.2 

82 

58 

7.50 

82  29 

.92 

29 

8^S7 

82  36 

.92 

42 

0 

8.75 

82  44 

.90 

10.9 

83 

43 

6 

lO.O 

83  24 

•93 

36 

lO.O 

83   31 

•92 

7 

lO.O 

^i   38 

.90 

I 

i1 

84 

12 

1 0.0 

84  20 

.93 

42 

lO.O 

84  26 

.92 

13 

12.0 

84  32 

.90 

8.2 

85 

18 

15.0 

85   16 

0.95 

48 

15.0 

85   21 

0.93 

18 

15.0 

85   26 

0.90 

5 

6.8 

86 

22 

15.0 

86  13 

•93 

52 

15.0 

86  17 

.92 

22 

15.0 

86  20 

•92 

4 

5-5 

87 

26 

30.0 

87     9 

•95 

56 

30.0 

87   12 

•93 

26 

30.0 

87   15 

.92 

3 

4.1 

88 

28 

30.0 

88     6 

.95 

58 

30.0 

88     8 

•93 

28 

30.0 

88   10 

.92 

2 

2.7 

89 

30 

— 

89     3 

.95 

43 

0 

— 

89     4 

•93 

30 

— 

89     5 

.92 

I 

1.4 

90 

30 

90     0 

0 

90     0 

30 

90     0 

0 

0.0 

1 

60' 

& 

A 

% 

60' 

I 

A 

a 

60' 

h 

A 

a 

t 

A  !| 

6^ 

A 

60' 

^ 

60' 

£Z  =  46°30' 

rf  =  47''0' 

q'  =  47°30' 

Page 

266] 

apoo 

0. 

885 

aj 

J69 

K 

a  =  48°0' 

a  =  48°  30' 

a  =  49°  0' 

V 

\" 

X^' 

60' 

\  t       A 

\  d 

60' 

\  * 

A 

\  d    ^' 

\  <  1  A 

A 

A 

A  \ 

A 

Z  \    6(y 

h\ 

A 

Z\ 

60' 

aX^    a 

ZX^  6(y 

^\ 

A 

o 

0     / 

<?      ' 

0     / 

^    ' 

0    / 

0    / 

^ 

0 

0 

0    0 

1.50 

48     0 

0.00 

0    0 

1.50 

48  30 

0.00 

0    0 

1.54 

49     0 

0.00 

90 

90.0 

I 

40 

1.50 

0 

.02 

40 

1.50 

30 

.02 

39 

1.50 

0 

.02 

89 

89^3 

2 

I  20 

1.50 

I 

.02 

I  20 

1.54 

31 

.02 

I    19 

1.54 

I 

.02 

88 

88.5 

3 

2    0 

1.50 

2 

.03 

59 

1.50 

32 

•03 

58 

'•54 

2 

•03 

ll 

87.8 

4 

40 

1.50 

4 

.03 

2  39 

1.50 

34 

•03 

2  37 

1.50 

4 

.03 

86 

87.0 

5 

3  20 

1.5b 

6 

0.05 

3   19 

1.54 

3^ 

0.05 

3   17 

1. 54 

6 

0.05 

85 

86.3 

6 

4     0 

1.50 

9 

.07 

58 

1.50 

39 

.07 

56 

'•54 

9 

.07 

^ 

85-5 

7 

40 

1.50 

13 

.07 

4  38 

'•54 

43 

.07 

4  35 

1.54 

13 

.07 

^3 

84.7 

8 

5  20 

1.50 

17 

.07 

5   17 

1.50 

47 

.07 

5   14 

1.54 

17 

.07 

82 

84.0 

9 

6     0 

1.50 

21 

.08 

57 

1.54 

51 

.08 

53 

'•54 

21 

.08 

81 

83^2 

10 

40 

1.50 

26 

0. 10 

6  36 

1.50 

56 

0. 10 

6  32 

'•54 

26 

0. 10 

80 

82.5 

1 1 

7  20 

1.50 

32 

.10 

7  16 

1-54 

49     2 

.10 

7  II 

'•54 

32 

.10 

79 

81.7 

12 

8     0 

••54 

38 

.  10 

55 

'•54 

8 

.10 

50 

'•54 

38 

.10 

78 

81.0 

13 

39 

1.50 

44 

.12 

8  34 

'•54 

14 

.12 

8  29 

1.54 

44 

.12 

77 

80.2 

14 

9  19 

1.54 

51 

•  13 

9  13 

'•54 

21 

•13 

9     8 

1. 54 

51 

•  13 

76 

79^4 

IS 

5? 

1.50 

59 

0.13 

52 

1.54 

29 

-.13 

47 

1.58 

59 

0.13 

75 

78.7 

i6 

10  38 

1-54 

49     7 

•  15 

10  31 

'•54 

37 

•15 

10  25 

'•54 

50     7 

•15 

74 

77-9 

17 

II   17 

1-54 

16 

•  15 

1 1   10 

1.54 

46 

•15 

II     4 

..58 

16 

.'5 

73 

77.1 

i8 

56 

1-54 

25 

•  17 

49 

1.54 

55 

•17 

42 

1.58 

25 

•'7 

72 

76^3 

19 

12  35 

1-54 

35 

.18 

12  28 

1.58 

50     5 

.iS 

12  20 

1.58 

35 

.17 

71 

75-5 

20 

13   14 

1.54 

46 

0.18 

13     6 

1.58 

16 

0.18 

58 

1.58 

45 

0.18 

70 

74.8 

21 

53 

1.58 

57 

.20 

44 

1.58 

27 

.18 

13   36 

1.58 

56 

.20 

69 

74.0 

22 

14  31 

1.58 

50     9 

.20 

14  22 

1.58 

38 

.20 

14  14 

1.62 

51     8 

.20 

6S 

73-2 

23 

15     9 

1.58 

21 

.22 

15     0 

1.58 

50 

.22 

51 

..58 

20 

.22 

67 

72-4 
71.6 

24 

47 

1.58 

34 

.22 

38 

1.58 

51     3 

•23 

15   29 

1.62 

33 

.22 

66 

25 

16  25 

1.58 

47 

0.23 

16  16 

1.62 

17 

0.23 

16     6 

1.62 

46 

0.23 

65 

70.7 

26 

17     3 

1.58 

51      I 

•25 

53 

1.62 

31 

•23 

43 

1.62 

52     0 

•23 

64 

69.9 

27 

41 

1.58 

16 

•25 

17  30 

1.62 

45 

•25 

17  20 

1.67 

14 

•25 

^3 

69.1 

28 

18  19 

1.62 

31 

.27 

18     7 

1.62 

52     0 

.27 

56 

1.62 

29 

•27 

62 

68.3 

29 

56 

1.62 

47 

.27 

44 

1.62 

16 

.27 

18  33 

1.67 

45 

.28 

61 

675 

30 

19  33 

1.62 

52     3 

0.28 

19  21 

1.67 

32 

0.28 

19     9 

1.67 

53     2 

0.28 

60 

66.6 

31 

20  10 

..67 

20 

•  30 

57 

1.67 

49 

.30 

45 

1.67 

19 

.28 

59 

658 

32 

46 

1.67 

^^ 

.30 

20  33 

1.67 

53     7 

.30 

20  21 

1. 71 

36 

.30 

58 

64.9 

33 

21   22 

1.67 

56 

.32 

21     9 

1.67 

25 

•32 

56 

1. 71 

54 

.32 

U 

64.1 

34 

58 

1.67 

53   15 

.33 

45 

1. 71 

44 

•33 

21   31 

1. 71 

54  13 

•33 

56 

63.2 

35 

22  34 

1.67 

35 

0-3S 

22  20 

1. 71 

54     4 

^•33 

22     6 

'•7' 

33 

0,33 

55 

62.3 

36 

23   10 

1. 71 

56 

•35 

55 

1.71 

24 

•35 

41 

1.76 

53 

•35 

54 

61.4 

37 

45 

1. 71 

54  17 

•37 

23  30 

t.71 

45 

•37 

23  15 

1.76 

55  14 

•35 

53 

60.6 

38 

24  20 

1.76 

39 

•37 

24     5 

1.76 

55     7 

•37 

49 

1.76 

35 

•37 

52 

59-7 

39 

54 

..76 

55      I 

.38 

39 

1.76 

29 

.38 

24  23 

..76 

57 

•38 

51 

58-8 

40 

25   28 

1.76 

24 

0.40 

25   13 

1.82 

52 

0.4c 

57 

1.82 

56  20 

0.40 

50 

57-9 

41 

26     2 

1.76 

48 

.42 

46 

1.82 

56  16 

.42 

25  30 

1.82 

44 

.40 

^% 

569 

42 

36 

1.82 

56  13 

.42 

26  19 

1.82 

41 

.42 

26     3 

1.88 

57     8 

•  42 

48 

56.0 

43 

27     9 

1.82 

38 

•43 

52 

1.88 

57     6 

•43 

35 

1.88 

33 

•43 

^I 

55-1 

44 

42 

1.88 

57     4 

•45 

27  24 

1.88 

32 

•43 

-V     7 

'•94 

59 

•43 

46 

541 

45 

28  14 

31 

56 

58 

38 

58  25 

45 

53-2 

a 

6c/ 

b 

A 

a 

6(y 

h 

_A 

a 

60' 

5 

A 

a 

t 

A 

60' 

A 

ec 

A 

60' 

c?  =  48°0' 

a 

^  =  48°  30' 

rf  =  49°0' 

0. 

900 

0.835 

0.869 

[Page  267 

f\ 

a=48°0' 

a  =  48°  30' 

a  =  49°0' 

v 

\" 

\ 

d 

60'  i\  t 

A 

\ 

d 

60' 

\   t 

A 

\ 

d 

60' 

\   t 

A 

A 

A 

h 

\ 

-i  1,  z\ 

60' 

A 

<\ 

A 

z\ 

60' 

y 

\ 

A 

z\ 

60' 

A 

'\ 

o 

0 

/ 

0      / 

0 

/ 

0     / 

0 

/ 

0      / 

0 

— A 
0 

45 

28 

14 

1.8S 

57  31 

0.47 

27 

5f 

1.88 

57   58 

0.47 

27 

38 

1.94 

58  25 

0.45 

45 

53-2 

46 

46 

1.88 

„  59 

•47 

28 

28 

1.94 

58  26 

47 

28 

9 

1.94 

52 

47 

44 

52.2 

47 

29 

18 

1.94 

58  27 

.48 

59 

1.94 

54 

48 

40 

1.94 

59  20 

48 

43 

51-2 

48 

49 

1.94 

5fi 

.50 

29 

30 

2.0c 

59  23 

48 

29 

II 

2.00 

.     49 

48 

42 

50.2 

49 

30 

20 

2.00 

59  26 

.50 

30 

0 

2.00 

52 

50 

41 

2.07 

60  18 

50 

41 

49-3 

50 

50 

2.00 

.     56 

0-53 

30 

2.00 

60  22 

0 

52 

30 

10 

2.07 

48 

0 

52 

40 

48.2 

51 

31 

20 

2.07 

60  28 

•53 

31 

0 

2.07 

.     53 

53 

39 

2.07 

61    19 

53 

39 

47.2 

52 

49 

2.07 

61     0 

•55 

29 

2.14 

61   25 

55 

31 

8 

2.14 

^     51 

53 

38 

46.2 

53 

32 

18 

2.14 

33 

•57 

57 

2.14 

58 

57 

36 

2.22 

62  23 

55 

37 

45-2 

54 

46 

2.14 

62     7 

•57 

32 

25 

2.22 

62  32 

57 

32 

3 

2.22 

56 

57 

36 

44.1 

55 

33 

14 

2.22 

41 

0.60 

52 

2.22 

63     6 

0 

58 

30 

2.22 

63  30 

0 

58 

35 

431 

56 

41 

2.22 

63  17 

.60 

33 

19 

2.31 

.     41 

i;8 

57 

2.31 

64     5 

58 

34 

42.0 

57 

34 

8 

2.31 

.     53 

.62 

45 

2.31 

64  16 

62 

33 

23 

2.40 

40 

60 

33 

40.9 

58 

34 

2-31 

64  30 

.62 

34 

II 

2.40 

53 

62 

48 

2.40 

65   16 

62 

32 

39-8 

59 

35 

0 

2.40 

65     7 

.65 

36 

2.40 

65  30 

63 

34 

13 

2.50 

53 

63 

31 

387 

60 

25 

2.50 

46 

.65 

35 

I 

2.50 

66     8 

0 

65 

37 

2.50 

66  31 

0 

6^ 

30 

37-6 

61 

49 

2.50 

66  25 

.67 

25 

2.61 

47 

67 

35 

I 

2.61 

67     9 

65 

29 

365 

62 

36 

13 

2.61 

67     5 

.68 

48 

2.61 

67  27 

67 

24 

2-73 

48 

67 

28 

35-4 

63 

36 

2.73 

46 

•7° 

36 

II 

2.73 

68     7 

68 

46 

2.73 

68  28 

67 

27 

34-2 

64 

58 

2-73 

68  28 

.70 

33 

2.86 

48 

70 

3& 

8 

2.86 

69     8 

70 

26 

33^  I 

65 

37 

20 

2.86 

69  10 

0.72 

54 

2.86 

69  30 

0 

72 

29 

3.00 

50 

0 

70 

25 

31-9 

66 

41 

3.00 

53 

•73 

37 

15 

3.00 

70  13 

72 

49 

3.00 

70  32 

70 

24 

30-7 

67 

38 

I 

3.00 

70  37 

•75 

35 

3.16 

56 

73 

37 

9 

3.. 6 

71   14 

73 

23 

295 

68 

21 

3.16 

71   22 

•75 

54 

3^i6 

71  40 

75 

28 

3-33 

58 

73 

22 

28.3 

69 

40 

3-33 

72     7 

•77 

38 

13 

3-33 

72  25 

75 

46 

3-53 

72  42 

75 

21 

27.1 

70 

58 

3-53 

53 

0.78 

^l 

3-53 

73  10 

0 

77 

38 

3 

3^53 

73  27 

0 

75 

20 

259 

71 

39 

15 

3-75 

73  40 

.78 

48 

3^75 

56 

78 

20 

3-75 

74  12 

77 

19 

24.7 

72 

31 

3-75 

74  27 

.80 

39 

4 

4.00 

74  43 

78 

36 

4.00 

58 

77 

18 

235 

73 

47 

4.00 

75   15 

.82 

19 

4.00 

75  30 

80 

51 

4.00 

75  44 

78 

'Z 

22.2 

74 

40 

2 

4.29 

76     4 

.82 

34 

4.29 

76  18 

80 

39 

6 

4.62 

76  31 

80 

16 

21.0 

75 

16 

4.62 

53 

0.83 

48 

4.62 

77     6 

0 

82 

19 

4.62 

77  19 

0 

80 

15 

19.7 

76 

29 

5.00 

77  43 

.83 

40 

I 

5.00 

55 

83 

32 

5.00 

78     7 

82 

14 

18.4 

77 

41 

5.00 

78  33 

.85 

13 

5-45 

78  45 

83 

44 

5-45 

56 

82 

13 

17. 1 

78 

53 

6.00 

79  24 

•85 

24 

6.00 

79  35 

83 

55 

6.00 

79  45 

83 

12 

15.8 

79 

41 

3 

6.00 

80  15 

.87 

34 

6.00 

80  25 

85 

40 

5 

6.00 

80  35 

83 

II 

14.6 

80 

13 

6.67 

81     7 

0.87 

44 

6.67 

81    16 

0 

85 

15 

7.50 

81   25 

0 

83 

10 

13.2 

-SI 

22 

7.50 

59 

.88 

53 

7.50 

82     7 

87 

23 

7.50 

82    ic 

85 

9 

11.9 

82 

30 

8.57 

82  52 

.88 

41 

I 

8.57 

59 

87 

31 

8.57 

83     6 

85 

8 

10.6 

83 

37 

lO.O 

83  45 

.88 

8 

lO.O 

83  51 

87 

38 

lO.O 

57 

85 

7 

9-3 

84 

43 

12.0 

84  38 

.88 

14 

12.0 

84  43 

87 

44 

12.0 

84  48 

87 

6 

8.0 

85 

48 

15.0 

85  31 

0.88 

19 

15.0 

85  35 

0 

88 

49 

15.0 

85  40 

0 

87 

5 

6.7 

86 

52 

15.0 

86  24 

.90 

23 

20.0 

86  28 

88 

53 

20.0 

86  32 

87 

4 

5^3 

87 

56 

30.0 

87   18 

.90 

26 

30.0 

87  21 

88 

56 

30.0 

87  24 

87 

3 

4.0 

88 

58 

30.0 

88  12 

.90 

28 

30.0 

88  14 

88 

58 

30.0 

88   16 

87 

2 

2.7 

89 

42 

0 

— 

89     6 

.90 

30 

— 

89     7 

88 

41 

0 

— 

89     8 

.87 

I 

13 

90 

0 

90    0 

30 

90    0 

0 

90     0 

0 

0.0 

a 

60' 

b 

A 

a 

60' 

h 

A 

a 

60' 

h 

A 

a 

2^ 

A 

6c/ 

A 

6c/ 

A     1 

6c/ 

J  =  48°0' 

d  =  ^8°3(y 

iZ  =  49°0' 

Page 

268] 

0 

854 

0.839 

0.824 

o 

a 

=  49°  30' 

0  =  50°  0' 

a  =  50°  30' 

^ 

\  * 

\d 

60' 

A 

A 

60' 

60' 

A 

A 

6(y 

\  d 

6c/ 
A 

Z\ 

A 
60' 

\ 

0     / 

0     / 

0     / 

0       / 

0     / 

0      y 

P 

0 

0 

0    0 

1.54 

49  30 

0.00 

0    0 

'•54 

50     0 

0.00 

0    0 

1.58 

50   30 

0.00 

90 

90.0 

I 

39 

'•54 

30 

.02 

39 

..58 

0 

.02 

38 

1.58 

30 

.02 

89 

89.2 

2 

I   18 

■•54 

31 

.02 

I    17 

'•54 

I 

.02 

I  16 

1.58 

31 

.02 

88 

88.5 

3 

^l 

'•54 

32 

S03 

56 

..58 

2 

.03 

54 

'•54 

32 

.03 

87 

iI-7 

4 

2  36 

'•54 

34 

•03 

2  34 

'•54 

4 

.03 

2  33 

1.58 

34 

.03 

86 

86.9 

5 

3  IS 

'•54 

36 

0.05 

3  13 

..58 

6 

0,05 

3  II 

1.58 

36 

0.05 

85 

86.2 

£) 

54 

..5S 

39 

.07 

51 

'•54 

9 

•07 

49 

1.58 

39 

•07 

b 

in 

7 

4  32 

'•54 

43 

.07 

4  30 

1.58 

13 

.07 

4  27 

1.58 

43 

.07 

83 

8 

5  II 

'•54 

47 

.07 

5     8 

..58 

17 

.07 

5     5 

1.58 

47 

.07 

82 

83-9 

9 

50 

'•54 

51 

.08 

46 

'•54 

21 

,08 

43 

1.62 

51 

.08 

81 

83^i 

10 

6  29 

..58 

56 

0.08 

6  25 

1.58 

26 

0.08 

6  20 

1.58 

56 

0.08 

80 

82.3 

1 1 

7     7 

'•54 

SO     I 

.10 

7     3 

1.58 

31 

.10 

58 

1.58 

51      I 

.10 

79 

81.5 

12 

46 

1.58 

7 

.12 

41 

1.58 

27 

.12 

7  36 

1.58 

7 

.12 

78 

80.8 

13 

8  24 

1.58 

14 

.12 

8  19 

1.58 

44 

.12 

8  14 

1.62 

14 

.12 

77 

80.0 

14 

9     2 

..58 

21 

.13 

57 

1.58 

51 

.13 

SI 

1.58 

21 

.12 

76 

79.2 

15 

40 

1.58 

29 

0.13 

9  35 

1.62 

59 

^•i3 

9  29 

1.62 

28 

0.13 

75 

78.4 

i6 

10  18 

1.58 

37 

•15 

10  12 

1.58 

51     7 

•  13 

10     6 

1.62 

36 

•'5 

74 

ni 

17 

56 

i.S8 

46 

•'5 

50 

1.58 

15 

.'5 

43 

1.62 

45 

•15 

73 

76.8 

i8 

II   34 

1.58 

55 

•'7 

II   28 

1.62 

24 

•  17 

II  20 

1.62 

54 

•17 

72 

76.0 

19 

12  12 

1.58 

51     5 

.'7 

12     5 

1.62 

34 

.18 

57 

1.62 

52     4 

•'7 

71 

75^2 

20 

5? 

1.58 

15 

0.18 

42 

1.62 

45 

0.18 

12  34 

1.62 

14 

0,18 

70 

74-4 
73^6 

21 

13  28 

1.62 

26 

.20 

13  19 

1.62 

56 

.iS 

13  II 

1.67 

25 

.20 

69 

22 

14     5 

1.62 

38 

.20 

56 

1.62 

52     7 

.20 

47 

1.67 

37 

.20 

68 

72.8 

23 

42 

1.62 

50 

.20 

14  33 

1.67 

19 

.22 

14  23 

1.67 

4> 

.20 

67 

72.0 

24 

15  19 

1.62 

52     2 

.22 

15     9 

1.62 

32 

.22 

5? 

1.67 

53     I 

.22 

66 

71.2 

25 

.  56 

1.62 

15 

0.23 

46 

1.67 

45 

0.23 

15  35 

1.67 

14 

0.23 

65 

7o^3 

26 

16  33 

1.67 

29 

•25 

16  22 

1.67 

59 

.25 

16  II 

..67 

28 

64 

69-5 

27 

17     9 

1.67 

44 

•25 

58 

1.67 

53  13 

.25 

47 

1.67 

42 

•25 

63 

68.7 

28 

45 

1.67 

59 

.27 

17  34 

1.67 

28 

.27 

17    2-\ 

1. 71 

57 

•27 

62 

67.8 

29 

18  21 

1.67 

53  15 

.27 

18  10 

1.71 

44 

•  27 

58 

1. 71 

54  13 

•27 

61 

67.0 

30 

57 

1.67 

^l 

0.28 

45 

1.71 

54     0 

0.28 

18  z?> 

1. 71 

29 

0.28 

60 

66.1 

31 

19  33 

1.71 

48 

,28 

19  20 

1. 71 

17 

.28 

19     8 

..76 

46 

.2$ 

59 

653 

32 

20     8 

1. 71 

54     5 

.30 

55 

1. 71 

34 

.30 

42 

1.76 

55     3 

.30 

58 

tn 

33 

43 

1. 71 

23 

.32 

20  30 

1.76 

5- 

•32 

20  16 

1.76 

21 

.30 

.57 

34 

21   18 

1.76 

42 

.32 

21     4 

1.76 

55   II 

•V- 

50 

1.76 

39 

•32 

56 

62.7 

35 

53 

1.76 

55     I 

©•33 

38 

..76 

30 

o^33 

21  24 

1.82 

58 

0-33 

55 

61.8 

3(> 

22  26 

1.76 

21 

•35 

22  12 

1.76 

50 

.33 

57 

1.82 

56  18 

•35 

54 

60.9 

37 

23     0 

1.76 

42 

.35 

46 

1.82 

56  10 

•37 

22  30 

1.82 

39 

.35 

53 

60.0 

38 

34 

1.82 

56    3 

•37 

23  19 

1.82 

32 

•37 

23     3 

1.82 

57     0 

•37 

5- 

59-1 

39 

24     7 

1.82 

25 

.38 

52 

1.88 

54 

.37 

36 

1.88 

22 

.37 

51 

58^2 

40 

40 

1.82 

48 

0.40 

24  24 

1.88 

57  16 

0.38 

24     8 

1.88 

44 

0.38 

50 

57^3 

41 

25  13 

1.88 

57  12 

.40 

56 

1.88 

39 

.40 

40 

1.94 

58     7 

.40 

49 

:     56-3 

42 

.  45 

1.88 

„  36 

•42 

25  28 

1.88 

58     3 

.42 

25   II 

1.94 

31 

.40 

48 

i  55^4 

43 

26  17 

1.88 

5^     I 

.42 

26    0 

1.94 

28 

.42 

42 

1.94 

55 

.42 

47 

54.5 

44 

49 

1.94 

26 

.43 

31 

1.94 

53 

•43 

26  13 

1.94 

59  20 

•43 

46 

53-5 

45 

2J    20 

52 

27     2 

59  19 

44 

46 

45 

52^5 

a 

6(y 

b 

A 

a 

60' 

h 

A_ 

a 

60' 

& 

A 

a 

/ 

A 

60' 

^ 

60' 

A 

60' 

c 

?  =  49°  SO' 

d  =  50^  0' 

cf  =  50°3a 

I 


0. 

854 

0.839 

0.824 

1 

Pag( 

b269 

\ 

a  =  49°  30' 

a=50°0' 

a  =  50°  30' 

k 

V 

\ 

d    ^'"' 

\  * 

A 

\ 

d 

60' 

\ 

i 

A 

\ 

d 

60' 

\.     t 

A 

A 

A 

r 

V"-" 

Z\ 

60' 

A 

\ 

A 

z 

\ 

60' 

A 

\ 

A 

z\ 

6cy 

A 

^\ 

o 

0 

J 

S      ' 

0 

/ 

0 

/ 

0 

1 

0       / 

0 

0 

45 

27 

20 

■•94 

58    52 

0.45 

27 

2 

2.00 

59 

19 

0.45 

26 

44 

2.00 

59  46 

0.43 

45 

525 

40 

51 

2.00 

59  19 

■47 

32 

2.00 

46 

•45 

27 

14 

2.07 

60  12 

•45 

44 

51.6 

47 

28 

21 

1. 00 

47 

.47 

28 

2 

2.00 

60 

13 

•47 

43 

2.07 

39 

•47 

43 

50.6 

48 

51 

2.00 

60  15 

.48 

32 

2.07 

41 

.48 

28 

12 

2.07 

61      7 

.4S 

42 

49.6 

49 

29 

21 

2.07 

44 

.50 

29 

I 

2.07 

61 

10 

.50 

41 

2,07 

36 

.48 

41 

48.6 

50 

50 

2.07 

61    14 

0.52 

3? 

2.14 

40 

0.50 

29 

10 

2.14 

62     5 

0.50 

40 

47.6 

51 

30 

IQ 

2.14 

.     45 

.52 

58 

2.14 

62 

10 

•52 

38 

2.22 

35 

•52 

39 

46.6 

52 

47 

2.14 

62  16 

•53 

30 

26 

2.22 

41 

•53 

30 

5 

2.22 

61     6 

.52 

38 

45-6 

53 

31 

15 

2.22 

48 

•55 

53 

2.22 

63 

13 

•53 

32 

2.31 

.     ^7 

•S3 

37 

44-5 

54 

42 

2.22 

63  21 

•55 

31 

20 

2.31 

45 

•55 

58 

2.31 

64     9 

•55 

36 

43-5 

55 

32 

9 

2.3' 

.     54 

0.57 

46 

2.31 

64 

18 

0.57 

31 

24 

2.40 

42 

0.55 

35 

42.4 

56 

35 

2.^0 

64  28 

•58 

32 

12 

2.40 

52 

•57 

49 

2.40 

65   15 

•57 

34 

41.4 

57 

33 

0 

2.40 

65     3 

.60 

37 

2.40 

65 

26 

.60 

32 

14 

2.40 

49 

•58 

33 

40.3 

58 

25 

2.40 

39 

.60 

!>}> 

2 

2.50 

66 

2 

.60 

39 

2.  ^0 

66  24 

.60 

32 

39-2 

59 

50 

2.50 

66  15 

.62 

26 

2.50 

38 

.60 

33 

3 

2.61 

67     0 

.60 

31 

38.1 

60 

34 

14 

2.61 

52 

0.63 

50 

2.61 

67 

14 

0.63 

26 

2.73 

36 

0.62 

30 

37^0 

61 

1>7 

2.61 

67  30 

•65 

34 

13 

2.71 

52 

•63 

48 

2.73 

68   13 

.63 

29 

35-9 

62 

35 

0 

2-73 

68     9 

.65 

35 

2.86 

68 

30 

.65 

34 

10 

2.86 

51 

.63 

28 

34-8 

63 

22 

2.86 

48 

.67 

56 

2.86 

69 

9 

.65 

31 

2.S6 

69  29 

•65 

27 

33^6 

64 

43 

2.86 

69  28 

.68 

35 

17 

2.86 

48 

.67 

52 

3.00 

70     8 

.67 

26 

32^S 

65 

36 

4 

3.00 

70     9 

0.70 

^l 

3.00 

70 

28 

0.6S 

35 

12 

3.16 

48 

0.67 

25 

3i^3 

60 

24 

3.16 

51 

.70 

58 

3.16 

71 

9 

.70 

31 

3.16 

71   28 

.68 

24 

30.2 

67 

43 

3.16 

71    11, 

.72 

36 

17 

3.33 

51 

.70 

50 

3.33 

72     9 

.68 

23 

29.0 

68 

37 

2 

3-33 

■J1  16 

•72 

35 

3.33 

72 

32, 

•72 

36 

8 

3-33 

50 

.7c 

22 

27.8 

69 

20 

3-53 

59 

•73 

53 

3-53 

71 

16 

•72 

26 

3.7s 

73  32 

•72 

21 

26.6 

70 

37 

3-75 

73  43 

0.75 

?>7 

10 

3.75 

59 

0.73 

42 

3^75 

74  15 

0.73 

20 

25^4 

71 

53 

3-75 

74  28 

•75 

26 

4.00 

74 

43 

•75 

58 

4.00 

59 

•73 

19 

24.2 

72 

38 

9 

4.00 

75   13 

•n 

41 

4.00 

75 

28 

•75 

37 

13 

4.0c 

75  43 

•73 

18 

23.0 

73 

24 

4.29 

59 

•77 

56 

4.29 

7(^ 

13 

•77 

28 

4.29 

76  27 

•75 

17 

21.8 

74 

38 

4.62 

76  45 

.78 

38 

10 

4.62 

59 

•77 

42 

4.62 

77  12 

•75 

16 

20.5 

75 

51 

4.62 

77  32 

0.80 

23 

5.00 

77 

45 

0.78 

55 

5.00 

57 

0.77 

15 

193 

70 

39 

4 

5.00 

78  20 

.80 

35 

l^.OO 

78 

32 

-'S 

38 

7 

5.45 

78  43 

.78 

14 

18.0 

77 

16 

5-45 

79     8 

.80 

47 

6.00 

79 

19 

^78 

18 

6.00 

79  30 

•78 

13 

16.8 

78 

27 

6.00 

56 

.82 

57 

6.00 

80 

6 

.80 

28 

6.00 

80  17 

.78 

12 

155 

70 

37 

6.67 

80  45 

.82 

39 

7 

6.67 

54 

.80 

3^ 

6.67 

81     4 

•78 

II 

14.2 

80 

46 

7.50 

81   34 

0.82 

16 

7.50 

81 

42 

0.82 

47 

7.50 

51 

0.80 

10 

130 

81 

54 

7.50 

82  23 

.83 

24 

7.50 

82 

31 

.82 

55 

7.50 

82  39 

.80 

9 

11.7 

82 

40 

2 

lO.O 

83   13 

.83 

32 

lO.O 

83 

20 

•83 

39 

3 

lO.O 

83  27 

.82 

8 

10.4 

83 

8 

10,0 

84     3 

.85 

38 

lO.C 

84 

10 

.82 

9 

lO.O 

84  16 

.82 

7 

9.1 

84 

14 

12.0 

54 

.85 

44 

I2.0 

59 

•83 

15 

15.0 

85     5 

.82 

6 

7.8 

85 

19 

15.0 

85  45 

0.85 

49 

15.0 

85 

49 

0.83 

19 

15.0 

54 

0.82 

5 

6^5 

86 

23 

20.0 

86  36 

.85 

53 

20.0 

86 

39 

.83 

23 

20.0 

86  43 

.82 

4 

5-2 

87 

26 

30.0 

Zj  27 

•85 

56 

30.0 

87 

29 

•83 

26 

30.0 

87  32 

.82 

3 

3-9 

88 

28 

30.0 

88   18 

•85 

58 

30.0 

88 

19 

•85 

28 

30.0 

88  21 

.82 

2 

2.6 

8q 

30 

— 

89     9 

.85 

40 

0 

— 

89 

10 

.83 

30 

— 

89  10 

.83 

I 

1^3 

90 

30 

90     0 

0 

90 

0 

30 

90      r 

0 

0.0 

a 

60' 

6 

A 

a 

60' 

b 

A 

a 

^'        6 

_A_ 

a 

/ 

A 

ec/ 

A 

60' 

A 

60' 

rf  =  49°30' 

fZ  =  50°0' 

tf  =  50°30' 

Page  270]         0.810 


0-795 


0.7S1 


\b 

a  =  51°0' 

a  =  51°  30' 

a  =  52°(y 

I 

\' 

\  d 

60' 

\< 

A 

\  d 

60' 

\  t 

A 

\  d 

6&   |\     i 

A 

A 

b\ 

^   \ 

A 

z\ 

60' 

A  \ 

A 

z\ 

60' 

*     \ 

A 

z\ 

60' 

A 

A 

0 

0     / 

0      / 

0     / 

0       / 

0     / 

0      / 

g 

0 

0    0 

i.;& 

51    0 

0.00 

0    0 

1.62 

51  30 

0.00 

0    0 

1.62 

52     0 

0.00 

?° 

90.0 

I 

38 

1.58 

0 

.02 

37 

1.58 

30 

.02 

37 

1.62 

0 

.02 

8q 

89.  a 

2 

I  16 

1.62 

I 

.02 

I    15 

1.62 

31 

.02 

I    14 

1.62 

I 

.02 

88 

88.4 

3 

53 

..58 

2 

•03 

52 

1.62 

32 

.03 

51 

1.62 

2 

•C3 

P 

87.7 

4 

2  31 

1.58 

4 

.03 

2  29 

..58 

34 

•03 

2  28 

1.62 

4 

•03 

86 

86.9 

5 

3     9 

..58 

6 

0.05 

3     7 

1.62 

36 

0.05 

3     5 

1.67 

6 

0.05 

!5 

86.x 

b 

47 

1.62 

9 

•.07 

44 

1.62 

39 

.05 

41 

1.62 

9 

.05 

^ 

8S3 

7 

4  24 

..58 

13 

.07 

4  21 

1.62 

42 

.07 

4  18 

1.62 

12 

•07 

^3 

84.5 

S 

5     2 

1.62 

17 

.07 

58 

1.62 

46 

.c8 

55 

1.62 

16 

.08 

82 

83.7 

9 

39 

1.62 

21 

.08 

5   35 

1.62 

51 

.08 

5  32 

1.67 

21 

.08 

81 

82.9 

10 

6  16 

1.58 

26 

o.oS 

6  12 

1.62 

56 

0.08 

6     8 

1.62 

26 

0.08 

80 

82.x 

I  I 

54 

1.62 

31 

.10 

49 

1.62 

52     I 

.  10 

45 

..67 

31 

.  10 

79 

8i.d 
S0.6 

12 

7  31 

1.62 

37 

.12 

7  26 

1.62 

7 

.10 

7  21 

1.62 

37 

.10 

78 

13 

8     8 

1,62 

44 

.12 

8     3 

1.62 

13 

.12 

58 

1.67 

43 

.12 

77 

79-8 

14 

45 

1.62 

51 

.12 

40 

..67 

20 

•13 

8  34 

1.67 

50 

•>3 

76 

79-0 

IS 

9  22 

1.62 

58 

0.13 

9  16 

1.62 

28 

0.13 

9  10 

1.67 

58 

0-I3 

75 

78.2 

16 

59 

1.62 

52     6 

••5 

53 

..67 

36 

•15 

46 

..67 

53     6 

•»3 

74 

77-4 

17 

10  s6 

1.62 

15 

•15 

TO    29 

1.67 

45 

•15 

10  22 

..67 

14 

•15 

73 

76.S 

18 

II   13 

..67 

24 

.17 

II      5 

1.67 

54 

•'5 

58 

..67 

23 

•«7 

72 

75-7 

19 

49 

1.62 

34 

.17 

41 

1.67 

53     3 

•'7 

II   34 

1. 71 

33 

•>7 

7^. 

74-9 

20 

12  26 

..67 

44 

0.18 

12    17 

1.67 

13 

0.18 

12     9 

..67 

43 

0.18 

70 

74.1 

21 

13     2 

1.67 

55 

.18 

53 

..67 

24 

.18 

45 

1. 71 

54 

.18 

6q 

73-3 

22 

38 

..67 

53     6 

.20 

13  29 

..67 

35 

.20 

13  20 

1. 71 

54     5 

.20 

68 

72.5 

23 

14  14 

1.67 

18 

.20 

14     5 

1. 71 

47 

.22 

55 

1.71 

17 

.20 

67 

71.6 

24 

50 

..67 

30 

.22 

40 

1.71 

54     0 

.22 

14  30 

1. 71 

29 

.22 

66 

70.8 

25 

15   26 

1. 71 

43 

0.23 

15   15 

1.71 

13 

0.22 

15     5 

1.71 

42 

0.22 

65 

70.0 

7;6 

16     I 

1. 71 

57 

•23 

.  50 

1.71 

26 

•23 

40 

1.76 

55 

•23 

^4 

69.1 

27 

36 

1. 71 

54  II 

•25 

16  25 

1. 71 

40 

•25 

16  14 

..76 

55     9 

•25 

63 

68.3 

28 

17   II 

1.7! 

26 

•27 

17     0 

..76 

55 

•25 

48 

1.76 

24 

•25 

62 

67.4 

29 

46 

1.76 

42 

•27 

34 

1.76 

55  10 

•27 

17  22 

1.76 

39 

.27 

61 

66.5 

30 

18  20 

1. 71 

58 

0.27 

18     8 

1.76 

26 

0.28 

56 

1.82 

55 

0.27 

60 

65-7 

31 

55 

1.76 

55   14 

.28 

42 

1.76 

43 

.28 

18  29 

1.82 

56  II 

.28 

5§ 

64.8 

32 

19  29 

1.7^^ 

31 

.30 

19  16 

1.82 

56     0 

•30 

19     2 

1.82 

28 

.30 

58 

63.9 

33 

20     3 

1.76 

49 

•30 

49 

1.82 

18 

.30 

35 

1.82 

46 

•30 

^l 

63.1 

34 

37 

1.82 

56     7 

.32 

20  22 

1.82 

36 

•32 

20     8 

1.82 

57     4 

•32 

56 

62.2 

35 

21   10 

1.82 

26 

0-33 

55 

1.82 

55 

0.32 

41 

1.88 

23 

0.32 

55 

61.3 

3(^ 

43 

1.82 

46 

•35 

21   28 

1,88 

57  14 

•33 

21   13 

1.88 

42 

•  33 

54 

60.4 

37 

22  16 

1.88 

57     7 

•35 

22     0 

1.88 

34 

•35 

45 

1.88 

58     2 

•  35 

53 

59- § 

38 

48 

1. 88 

28 

•35 

32 

1.S8 

„  55 

•37 

22  17 

1.94 

23 

•35 

52 

5S.6 

39 

23  20 

1.88 

49 

•37 

23     4 

1.94 

58  17 

•37 

48 

1.94 

44 

•37 

51 

57-6 

40 

52 

1.94 

58   II 

0.3S 

^1 

1.94 

39 

0,38 

23  19 

1.94 

59     6 

0.38 

50 

56.7 

41 

24  23 

1.94 

34 

.40 

24     6 

1.94 

59     2 

.38 

50 

2.00 

29 

.38 

49 
48 

55-8 

42 

54 

1.94 

58 

.40 

37 

2.00 

25 

.4c 

24  20 

2.00 

52 

•  38 

54-8 

43 

25  25 

2.00 

59  22 

.42 

25     7 

2. 00 

49 

.40 

50 

2.07 

60  15 

•42 

46 

53-9 

44 

55 

2.00 

47 

•42 

37 

2.00 

60  13 

•43 

25   19 

2.07 

40 

.42 

52-9 

45 

26  25 

60  12 

26     7 

39 

48 

61     5 

45 

52.0 

a 

60' 

b 

A 

a 

60' 

h 

A 

a 

60' 

6 

_A 

a 

/ 

A 

60' 

A 

do' 

A 

60' 

d  =  5i°0' 

J  =  51°  30' 

c?  =  52°0' 

o.Sio 


0-795 


0.781 


[Page  271 


\ 

a  =  51°0' 

a  =  51°  30' 

a  =  52°  0' 

\  ^ 

c\ 

V 

\  d 
h\ 

60' 

A 

z\ 

A 

60' 

60' 

A 

z\ 

A 

60' 

60' 

A 

z\ 

A 

60' 

\ 

0 

0     ' 

^0      ' 

0    / 

^  °      ' 

0    ,< 

^0      / 

p 

0 

45 

26  25 

2.00 

60    12 

0-43 

j(j    7 

2.07 

60  39 

o^43 

25  48 

2.07 

61      5 

^•43 

45 

52.0 

46 

55 

2.07 

38 

•45 

36 

2.07 

61      5 

•43 

26  17 

2.07 

31 

•43 

44 

51.0 

47 

27  24 

2.07 

61     5 

•47 

27     5 

2.14 

31 

•45 

46 

2.14 

.     57 

•45 

43 

50.0 

48 

53 

2.14 

33 

•47 

33 

2.14 

58 

•47 

27  14 

2.22 

62  24 

•47 

42 

49.0 

49 

28  21 

2.14 

62     I 

.48 

28     I 

2.14 

62  26 

.48 

41 

2.22 

52 

•47 

41 

48.0 

50 

49 

2.14 

.     30 

0.50 

29 

2.22 

^     55 

0.48 

28     8 

2.22 

63  20 

0.48 

40 

47.0 

51 

29  17 

2.22 

63     0 

.50 

56 

2.22 

62,  24 

.50 

35 

2.31 

49 

.50 

39 

46.0 

52 

44 

2-31 

.     3° 

•52 

29  23 

2.31 

r        54 

•52 

29     I 

2.31 

64   19 

.50 

38 

45-0 

53 

30  10 

2.31 

64     I 

•S3 

49 

2.31 

64    25 

•52 

27 

2.40 

49 

.52 

37 

43^9 

54 

36 

2.31 

ZZ 

.53 

30  15 

2.40 

.      56 

•53 

52 

2.40 

65   20 

•53 

36 

42.9 

55 

31     2 

2.40 

65     5 

0.5s 

40 

2.50 

65  28 

0.55 

30  17 

2.50 

..  52 

^•53 

35 

41.8 

56 

27 

2.50 

38 

•57 

31     4 

2.50 

66     I 

•57 

41 

2.50 

66  24 

•55 

34 

40.8 

57 

51 

2.50 

66  12 

.58 

28 

2.50 

35 

•57 

31     5 

2.61 

57 

•57 

33 

39-7 

58 

32  15 

2.50 

47 

•58 

52 

2.61 

67     9 

•57 

28 

2.61 

67  31 

•57 

32 

38.6 

59 

39 

2.61 

67  22 

.60 

32  15 

2^73 

43 

.60 

51 

2.73 

68     5 

.58 

31 

37-5 

60 

33     2 

2.73 

58 

0.60 

37 

2^73 

68  19 

0.60 

32  13 

2.73 

40 

o.t;8 

30 

36^4 

61 

24 

2.86 

68  34 

.62 

59 

2.86 

55 

,60 

35 

2.86 

69  IS 

.60 

^§ 

35^3 

62 

45 

2.86 

69  1 1 

•63 

ZZ  20 

2.86 

69  31 

.63 

56 

3.00 

51 

.62 

28 

34-2 

^i 

34     6 

2,86 

49 

•63 

41 

3.00 

70    9 

.63 

ZZ  16 

3.CX) 

70  28 

•63 

^l 

33-1 

64 

27 

3.00 

70  27 

.65 

34     I 

3.00 

47 

.63 

36 

3^i6 

71     6 

.63 

26 

31^9 

65 

47 

3.16 

71     6 

0.67 

21 

3^i6 

71   25 

0.65 

55 

3^33 

44 

0.63 

25 

30.8 

66 

35     6 

3-33 

46 

.67 

40 

3^33 

72     4 

•67 

34  13 

3^33 

72  22 

.65 

24 

29.6 

f7 

24 

3-33 

72  26 

.68 

58 

3^53 

44 

.67 

31 

3-53 

73     I 

.67 

23 

28.5 

68 

42 

3-53 

73     7 

.70 

35  15 

3^53 

7Z  24 

.68 

48 

3^53 

41 

•67 

22 

273 

69 

59 

3-75 

49 

.70 

32 

3-75 

74     5 

.70 

35     5 

3^75 

74  21 

.68 

21 

26.1 

70 

i^  15 

3-75 

74  31 

0.72 

48 

4.00 

47 

0.70 

21 

4.00 

75     2 

0.7c 

20 

24.9 

71 

3J 

4.00 

75   14 

•72 

36     3 

4.00 

75  29 

.70 

36 

4.29 

44 

.70 

19 

237 

72 

46 

4.29 

57 

.73 

18 

4.29 

76  II 

.72 

50 

4.29 

76  26 

.70 

18 

22.5 

73 

37     0 

4.62 

76  41 

•73 

32 

4.62 

H 

•73 

36     4 

4.62 

77     8 

.72 

'I 

21-3 

74 

13 

4.62 

77  25 

•75 

45 

4.62 

77  38 

•73 

17 

5.00 

51 

•72 

16 

20.1 

75 

26 

5.00 

78  10 

0.75 

58 

5.00 

78  22 

©•73 

29 

5.00 

78  34 

o^73 

15 

18.9 

76 

38 

5-45 

55 

'77 

Z7  10 

5-45 

79     6 

•75 

41 

5-45 

79  18 

•73 

14 

17.7 

77 

49 

6.00 

79  41 

■77 

21 

6.00 

51 

•75 

52 

6.00 

80     2 

•73 

13 

16.5 

78 

n    59 

6.00 

80  27 

•77 

31 

6.67 

80  36 

•77 

Z7     2 

6.67 

46 

•75 

12 

15.2 

79 

38     9 

6,67 

81   13 

.78 

40 

6.67 

81   22 

•77 

II 

7.50 

81   31 

•75 

II 

139 

80 

18 

7.50 

82     0 

0.78 

49 

7.50 

82     8 

0.77 

19 

7.50 

82  16 

0.77 

10 

12.7 

81 

26 

8.57 

47 

.78 

57 

8.57 

54 

.78 

•      27 

8.57 

S3     2 

•77 

9 

11.4 

82 

33 

lO.O 

83  34 

.80 

38     4 

lO.O 

83  41 

.78 

34 

lO.O 

48 

•77 

8 

10.2 

l^ 

39 

lO.O 

84  22 

,80 

10 

12.0 

84  28 

•78 

40 

12.0 

84  34 

■77 

7 

8.9 

84 

45 

15.0 

85   10 

.80 

15 

i5^o 

85   15 

.78 

45 

12.0 

85   20 

•77 

6 

7.6 

85 

49 

15.0 

r    58 

0.80 

19 

15.0 

86     2 

0.78 

50 

20.0 

86     6 

0.78 

5 

6.4 

80 

53 

20,0 

86  46 

.80 

23 

20.0 

49 

.80 

53 

20.0 

53 

•77 

4 

5^1 

87 

56 

30.0 

^7  34 

.82 

26 

30.0 

87  Z7 

.78 

56 

30.0 

87  39 

•78 

3 

3^8 

88 

58 

30.0 

88  23 

.80 

28 

30.0 

88  24 

.80 

58 

30.0 

88  26 

.78 

2 

2.6 

89 

39     0 

— 

89  II 

.82 

30 

— 

89  12 

.80 

38     0 

— 

89  13 

.78 

I 

1-3 

90 

0 

90     0 

30 

90     0 

0 

90     0 

0 

0.0 

a 

60' 

h 

_A_ 

a 

60^ 

h      -A 

a 

6^ 

& 

A 

a 

t 

A 

60' 

A 

60' 

A 

60' 

d  =  bi°(y 

d  =  b\°2Q' 

d  =  52°0' 

Page  272] 

0.767 

0.7S4 

0. 

740 

V 

0  =  52°  30' 

a=53°0' 

a  =  53"  30' 

V 

\  " 

\  d 

60' 

\   < 

A 

\  d 

60' 

\^ 

A 

\  d   60' 

\   i 

A 

\ 

\ 

b\ 

h\ 

A 

z\ 

60' 

^    \ 

A 

z\ 

60' 

A  \     A 

z\ 

60' 

^\ 

^\ 

o 

0     1 

0      / 

0     / 

0        y 

0      / 

0       1 

0 

0 

0 

0    0 

i.f).--. 

52  30 

0.00 

0    0 

r.67 

53     0 

0.00 

0     0 

..67 

53  3^ 

0.00 

90 

90.0 

1 

il 

..6- 

30 

.02 

36 

..67 

0 

.02 

36 

1. 71 

30 

.02 

89 

89.2 

2 

I  13 

1.62 

31 

.02 

I  12 

..67 

I 

.02 

I    II 

..67 

31 

.02 

88 

88.4 

3 

50 

..67 

32 

•03 

48 

..67 

2 

•03 

47 

..67 

32 

•03 

87 

87.6 

4 

2  26 

1.62 

34 

.03 

2  24 

..67 

4 

•03 

2  23 

1.71 

34 

•03 

86 

86.8 

5 

3     3 

..67 

36 

0.05 

3    0 

1.67 

6 

0.05 

58 

1.67 

36 

0.05 

85 

86.0 

0 

39 

..67 

39 

.05 

36 

..67 

9 

•'^5 

3   34 

1.71 

39 

.05 

84 

85.2 

7 

4  15 

1.62 

42 

.07 

4  12 

..67 

12 

.07 

4     9 

1.67 

42 

•07 

83 

84.4 
83.6 

8 

52 

-.67 

46 

.07 

48 

1.67 

16 

.07 

45 

1.71 

46 

.07 

82 

9 

5  28 

1.67 

50 

.08 

5  24 

1.67 

.20 

.oS 

5   20 

1.67 

50 

.08 

81 

82.8 

10 

6     4 

..67 

55 

0. 10 

6     0 

r.67 

25 

o.oS 

56 

r.71 

55 

O.oS 

80 

82.0 

1 1 

40 

1.67 

53     I 

.10 

36 

1. 71 

30 

.  10 

6  31 

1.71 

54     0 

.ro 

79 

81.2 

12 

7   16 

..67 

7 

.10 

7   II 

..67 

36 

.12 

7     6 

r.71 

6 

.ro 

78 

80.4 

13 

5^ 

..67 

13 

.12 

47 

1. 71 

43 

.12 

41 

r.71 

12 

.12 

77 

79.6 

14 

8  28 

..67 

20 

.12 

8  22 

1.67 

50 

.12 

8   16 

r.71 

19 

•13 

76 

78.7 

15 

9     4 

..67 

27 

0.13 

58 

1.71 

57 

0.13 

51 

r.7i 

27 

0,13 

75 

77-9 

lO 

40 

1. 71 

35 

.'S 

9  Vc 

1. 71 

54     5 

•13 

9  26 

r.7r 

35 

•13 

74 

77.1 

17 

10  15 

..67 

44 

•15 

10     8 

r.71 

13 

•IS 

lO       I 

1. 71 

43 

••5 

73 

76.3 

18 

51 

1. 71 

53 

.'5 

43 

1. 71 

22 

•17 

36 

r.76 

52 

•«5 

72 

75-5 

19 

II   26 

1. 71 

54     2 

•«7 

II   x8 

1. 71 

32 

.17 

II   10 

1.76 

55      I 

••7 

71 

74.6 

20 

12     I 

1. 71 

12 

0.18 

53 

1.76 

42 

0.17 

44 

1.76 

II 

0.18 

70 

73-8 

21 

36 

1. 71 

23 

.18 

12  27 

1. 71 

52 

.18 

12  18 

1.76 

22 

.18 

69 

73-0 

22 

13   II 

1. 71 

34 

.20 

13     2 

1.76 

55     3 

.20 

52 

1.76 

11 

.rS 

68 

72.1 

23 

46 

..76 

46 

.20 

36 

1.76 

15 

.20 

13  26 

1.76 

44 

.20 

67 

71-3 

24 

14  20 

..76 

58 

.22 

14  10 

..76 

27 

.22 

14     0 

1.76 

56 

.22 

66 

70.4 

25 

54 

..76 

55  II 

0.22 

44 

1.76 

40 

0.22 

34 

1.82 

56     9 

0.22 

65 

69.6 

26 

15  28 

..76 

24 

•23 

15   t8 

1.82 

53 

•23 

15     7 

1.82 

22 

•23 

64 

68.7 

27 

16     2 

..76 

38 

•25 

^  51 

..76 

56    7 

•25 

40 

1.82 

36 

.23 

63 

67.9 

28 

36 

1.76 

53 

•25 

16  25 

1.82 

22 

•25 

16  13 

r.82 

50 

•25 

62 

67.0 

29 

17  10 

1.82 

56     8 

•27 

58 

1.82 

37 

■25 

46 

1,88 

57     5 

•27 

61 

66.1 

30 

43 

1.82 

24 

0.27 

17  31 

1.88 

52 

0.27 

17   18 

r.88 

21 

0.27 

60 

65.2 

31 

18   16 

1.82 

40 

.28 

18     3 

t.82 

57     8 

.2? 

50 

r.88 

17 

.28 

59 

64.4 

32 

49 

1.82 

57 

.28 

36 

1.88 

25 

.28 

18  22 

1.88 

54 

.28 

58 

635 

33 

19  22 

1.88 

57   14 

.30 

19     8 

1.88 

42 

•30 

54 

1.88 

58   II 

•30 

57 

62.6 

34 

54 

1.88 

l^ 

•32 

40 

1.88 

58     0 

•3- 

19  26 

r.94 

29 

•3° 

56 

61.7 

35 

20  26 

1.88 

51 

0.32 

20  12 

1.94 

19 

0.32 

57 

r.94 

47 

0.32 

55 

60.8 

3<J 

58 

1.8S 

58  10 

•33 

43 

1.94 

38 

•33 

20  28 

r.94 

59     6 

•32 

54 

59^9 

37 

21    30 

1.94 

30 

•33 

21    14 

1.94 

58 

•33 

59 

2.00 

25 

•33 

53 

59-0 

38 

22      I 

'■94 

50 

•35 

45 

2.00 

59  18 

•35 

21   29 

2.00 

45 

•35 

52 

58.0 

39 

32 

2.00 

59  II 

•37 

22  IS 

2.00 

39 

.35 

59 

2.00 

60     6 

•35 

51 

57.1 

40 

-3     2 

2.00 

33 

0.37 

45 

2.00 

60     0 

0-37 

22  29 

2.07 

27 

0.37 

50 

56.2 

41 

32 

2.00 

.     55 

.38 

23   15 

2.00 

22 

•38 

58 

2.07 

49 

•38 

4^ 

55-2 

42 

24     2 

2.00 

60  18 

.40 

45 

2.07 

45 

•38 

^Z  27 

2.07 

61    12 

.38 

48 

54^3 

43 

32 

2.07 

42 

.40 

24  14 

2.07 

61      8 

.40 

56 

2.r4 

35 

.40 

^l 

533 

44 

-5     I 

2.07 

61     6 

.42 

43 

2.14 

32 

•  4- 

J4  24 

2.14 

59 

.40 

46 

52-4 

45 

30 

31 

25   II 

57 

52 

62  23 

45 

51-4 

60' 

6 

A 

60' 

A 

60' 

A 

/ 

a 

A 

6(y 

a 

"^ 

I 

60' 

a 

"^ 

I 

60' 

a 

^  =  52°  30' 

6?  =  53°0' 

^  =  53°  30' 

0.767 


0754 


0.740 


[Page  273 


\ 

a  =  52°  30' 

a  =  53°0' 

a  =  53°  3(r 

\ 

V 

\ 

f/ 

60' 

\     t 

A 

X  d 

60' 

V 

\  < 

A 

\^ 

d 

to' 

\  t 

A 

«\ 

^\ 

h 

\ 

A 

Z\  60' 

h\ 

A 

z\ 

6c/ 

h 

\ 

A 

Z\ 

60' 

A 

A 

o 

0 

/ 

^  °     ' 

0     / 

0       / 

0 

/ 

^0      ' 

g 

0 

45 

25 

^? 

2.14 

61  31  0 

43 

25  II 

2.14 

61    57 

0.42 

24 

52 

2.14 

62   23 

0.42 

45 

51^4 

40 

5^ 

2.14 

57 

43 

39 

2.14 

62  22 

.43 

25 

20 

2.22 

48 

.42 

44 

50^4 

47 

26 

26 

2.14 

62  23 

45 

26     7 

2.22 

48 

.45 

47 

2.22 

63    13 

•43 

43 

49.4 

48 

54 

2.22 

.     SO 

45 

34 

2.22 

63  15 

•45 

26 

14 

2.31 

.     39 

•45 

42 

48.4 

49 

^7 

21 

2.22 

63  17 

47 

27     I 

2.31 

42 

•45 

40 

2.31 

64     6 

•47 

41 

47-4 

50 

48 

2.31 

45   0 

48 

27 

2.31 

64     9 

0.48 

27 

6 

2.31 

34 

0.47 

40 

46.4 

51 

28 

14 

2.31 

64  14 

48 

53 

2-3' 

38 

.48 

32 

2.40 

65     2 

.48 

39 

45-4 

52 

40 

2.40 

.     43 

50 

28  19 

2.40 

65     7 

.48 

57 

2.40 

..  31 

.48 

38 

44.4 

53 

29 

5 

2.40 

65   13 

52 

44 

2.50 

36 

.50 

28 

22 

2.50 

66     0 

•50 

37 

43-3 

54 

30 

2.40 

44 

52 

29     8 

2.50 

66     6 

•52 

46 

2.50 

30 

.50 

36 

42.3 

55 

55 

2.50 

66  15    0 

53 

32 

2.50 

37 

0-53 

29 

10 

2.61 

67     0 

0.52 

35 

41.2 

5t) 

30 

19 

2.61 

47 

53 

56 

2.61 

67     9 

•53 

33 

2.61 

.     31 

•53 

34 

40.2 

57 

42 

2.61 

67  19 

55 

30  19 

2.73 

41 

.55 

56 

2-73 

68     3 

•53 

33 

39.1 

58 

31 

5 

2-73 

52 

57 

41 

2-73 

68  14 

•55 

30 

18 

2.86 

35 

•55 

32 

38.0 

59 

27 

2-73 

68  26 

58 

31     3 

2.73 

47 

•57 

39 

2.86 

69     8 

•57 

31 

37-0 

6o 

49 

2.86 

69     I    0 

58 

25 

2.86 

69  21 

0.58 

31 

0 

2.86 

42 

0.57 

30 

35^9 

61 

32 

10 

2.86 

36 

58 

46 

3.00 

56 

.58 

21 

3.00 

70  16 

.58 

29 

34^8 

62 

31 

3.00 

70  II 

60 

32     6 

3.00 

70  31 

.60 

41 

3.16 

51 

.58 

28 

33-7 

63 

51 

3.16 

47 

62 

26 

3.16 

71     7 

.60 

32 

0 

3.16 

71  26 

.60 

27 

32^5 

64 

33 

10 

3.16 

71   24 

63 

45 

3-33 

43 

.62 

19 

3-33 

72     2 

.60 

26 

31^4 

65 

29 

3-33 

72     2    0 

63 

33     3 

3-33 

72  20 

0.63 

37 

3-33 

38 

0.62 

25 

30^3 

60 

47 

3-33 

40 

65 

21 

3-53 

58 

•  63 

55 

3-53 

73  15 

.62 

24 

29.1 

67 

34 

5 

3-53 

73  19 

65 

38 

3-53 

73  36 

•  63 

33 

12 

3.75 

52 

.63 

23 

28.0 

68 

22 

3-75 

58 

65 

55 

3.75 

74  14 

.65 

28 

3-75 

74  30 

.65 

22 

26.8 

69 

38 

3-75 

74  37 

68 

34  II 

4.00 

53 

.67 

44 

4.00 

75     9 

•65 

21 

25^7 

70 

54 

4.00 

75  18   0 

68 

26 

4.00 

75  33 

0.67 

59 

4.29 

48 

0.65 

20 

24-5 

71 

35 

9 

4.29 

59 

68 

41 

4.29 

76  13 

.68 

34 

13 

4.29 

76  tf 

.67 

19 

23-3 

72 

^1 

4.62 

76  40 

68 

55 

4.62 

54 

.68 

27 

4.62 

77     7 

.67 

18 

22.1 

73 

36 

4.62 

77  21 

70 

35     8 

4.62 

77  35 

.68 

40 

5.00 

A7 

.68 

'Z 

20.9 

74 

49 

5.00 

78     3 

72 

21 

5.00 

78  16 

.70 

52 

5.00 

78  28 

.68 

16 

19.7 

75 

36 

I 

5-45 

46   0 

72 

33 

5.45 

58 

0.70 

35 

4 

5-45 

79     9 

0.70 

15 

18.S 

7& 

12 

5-45 

79  29 

72 

44 

6.00 

79  40 

•72 

15 

6.00 

51 

.70 

14 

17-3 

77 

23 

6.00 

80  12 

73 

„,54 

6,00 

80  2^ 

•72 

25 

6.00 

80  33 

.70 

13 

16. 1 

78 

33 

6.67 

56 

73 

36     4 

6.67 

81     6 

•72 

35 

6.67 

81   15 

•72 

12 

14.9 

79 

42 

7.50 

81  40 

75 

13 

7.50 

49 

•73 

44 

7.50 

58 

•72 

II 

13-7 

80 

50 

8.57 

82  25    0 

73 

21 

8.57 

82  33 

0-73 

52 

8.57 

82  41 

0.72 

10 

12.S 

81 

57 

S.S7 

83     9 

75 

28 

8.57 

83   17 

•73 

59 

lO.O 

83  24 

•72 

9 

11.2 

82 

37 

4 

lo.o 

54 

75 

35 

lO.O 

84     I 

•73 

36 

5 

lO.O 

84     7 

.73 

8 

lO.O 

83 

10 

12.0 

84  39 

77 

41 

12.0 

45 

•75 

II 

12.0 

51 

•73 

7 

8.7 

84 

15 

12.0 

85  25 

7S 

46 

15.0 

85  30 

•75 

16 

15.0 

85  35 

•73 

6 

7-5 

85 

20 

15.0 

86  10   0 

77 

50 

15.0 

86  15 

0.75 

20 

15.0 

86  19 

0.73 

5 

6.3 

86 

24 

20.0 

56 

77 

54 

20.0 

87     0 

•75 

24 

20.0 

87     3 

•73 

4 

5-2 

87 

27 

30.0 

87  42 

77 

57 

30.0 

45 

.75 

27 

30.0 

47 

•73 

3 

3-8 

88 

29 

60.0 

88  28 

77 

59 

60.0 

88  30 

•75 

29 

60.0 

88  31 

•75 

2 

25 

89 

30 

— 

89  14 

77 

37    0 

— 

89  15 

.75 

30 

— 

89  16 

.73 

I 

1-3 

90 

30 

90     0 

0 

90    0 

30 

90     0 

0 

0.0 

6cy 
a       — 

b       - 

A 

a 

6C/ 

b 

A 

a 

6c/ 

6 

A 

a 

t 

i    A 

t 

0' 

A 

/ 

A 

^t/ 

d  =  52°30' 

rf  =  53°0' 

d  =  53°ZQ' 

I 


55901°— 18- 


-18 


Page  274] 

0 

727 

0.713 

0-/ 

00 

\ 

a  =  54°0' 

a  =  54°  30' 

a  =55° 

0' 

E\ 

\     ^ 

\(? 

60' 

\  i 

^ 

\ 

d 

60' 

\  t 

A 

d 

60' 

X 

,  t 

A 

A 

«\ 

A\ 

A 

z\ 

60' 

h 

\ 

A 

z\ 

60' 

h 

\ 

A 

z 

\ 

60' 

^\ 

o 

0     / 

0      / 

0 

/ 

0      / 

0 

/ 

0 

/ 

0 

0 

0 

0    0 

1. 71 

54    0 

0.00 

0 

0 

1. 71 

54  30 

0.00 

0 

0 

1.76 

55 

0 

0.00 

90 

90.0 

I 

35 

1.67 

0 

.02 

35 

1. 71 

30 

.02 

34 

1. 71 

0 

.02 

^o2 

89.2 

2 

I   II 

1. 71 

I 

.02 

I 

10 

..76 

31 

.02 

I 

9 

1.76 

I 

.02 

88 

88.4 

3 

46 

1.71 

2 

.03 

44 

1. 71 

32 

.03 

43 

1. 71 

2 

•°3 

fl 

87.6 

4 

2  21 

1. 71 

4 

•03 

2 

19 

1.71 

34 

■03 

2 

18 

1.76 

4 

•03 

86 

86.7 

5 

56 

1. 71 

6 

0.05 

54 

1. 71 

Z^ 

0.05 

52 

1.76 

6 

0.05 

85 

859 

6 

3  31 

1. 71 

9 

.05 

3 

29 

1.76 

39 

•05 

3 

26 

1.76 

9 

.05 

^ 

85.1 

7 

4     6 

1. 71 

12 

.07 

4 

3 

1.71 

42 

.07 

4 

0 

1. 71 

12 

.07 

83 

843 

8 

41 

1. 71 

16 

.07 

38 

1. 71 

46 

.07 

35 

1.76 

16 

.07 

82 

83.5 

9 

5   16 

1. 71 

20 

.08 

5 

13 

1.76 

50 

.08 

5 

9 

1.76 

20 

.08 

81 

82.7 

10 

^  51 

1. 71 

25 

0.08 

47 

1. 71 

55 

0.08 

43 

1.76 

25 

0.08 

80 

81.8 

II 

6  26 

1. 71 

30 

.10 

6 

22 

1.76 

55     0 

.10 

6 

17 

1.76 

30 

.10 

79 

81.0 

12 

7     I 

1. 71 

36 

.10 

56 

1.76 

6 

.10 

51 

1.76 

36 

.10 

78 

80.2 

13 

0  36 

1.71 

42 

.12 

7 

30 

1.76 

12 

.12 

7 

25 

1.76 

42 

.  12 

77 

79-4 

14 

8   II 

..76 

49 

.12 

8 

4 

1.76 

19 

.12 

59 

1.82 

49 

.12 

76 

78.5 

IS 

45 

1.76 

56 

0.13 

38 

1.76 

26 

0.13 

8 

32 

1.76 

56 

0.12 

75 

77^7 

i6 

9  19 

1. 71 

55     4 

.13 

9 

12 

1.76 

34 

.13 

9 

6 

1.82 

56 

3 

•»3 

74 

76.9 

17 

5^ 

..75 

12 

.'5 

46 

1.76 

42 

.15 

39 

1.76 

II 

•15 

73 

76.0 

i8 

10  28 

..76 

21 

•  17 

10 

20 

1.76 

51 

.15 

10 

13 

1.82 

20 

•15 

72 

75-2 

19 

II      2 

1.76 

31 

•17 

54 

1.82 

56     0 

.17 

46 

1.82 

29 

•'7 

71 

74^3 

20 

36 

1.76 

41 

0.17 

II 

27 

1.76 

10 

0.17 

II 

19 

1.82 

39 

0.17 

70 

73-5 

21 

12   10 

1.82 

^  51 

.18 

12 

I 

1.82 

20 

.18 

52 

1. 8a 

49 

.18 

69 

72.6 

22 

43 

1.76 

56     2 

.20 

34 

1.82 

31 

.20 

12 

25 

1.88 

57 

0 

.20 

68 

71.8 

23 

13   17 

1.82 

14 

.20 

13 

7 

1.82 

43 

.20 

57 

1.82 

12 

.20 

P. 

70.9 

24 

50 

1.82 

26 

.20 

40 

1.82 

55 

.20 

13 

30 

1.88 

24 

.20 

66 

70.1 

25 

14  23 

1.82 

38 

0,22 

14 

13 

1.88 

57     7 

0.22 

14 

2 

1.88 

36 

0.22 

65 

69.2 

26 

56 

1.8* 

51 

.23 

45 

1.88 

20 

.23 

34 

1.88 

49 

.22 

64 

68.3 

27 

15   29 

1.88 

57     5 

.23 

15 

17 

1.88 

34 

•23 

15 

6 

1.94 

58 

2 

.23 

63 

67-5 

28 

16     I 

1.88 

19 

.25 

49 

1.88 

48 

•25 

37 

1.88 

16 

•25 

62 

66.6 

29 

SZ 

1.88 

34 

.25 

16 

21 

1.88 

58     3 

•25 

16 

9 

1.94 

31 

.25 

61 

65-7 

30 

17     5 

1.88 

49 

0.27 

53 

1.94 

18 

0.27 

40 

1.94 

46 

0.27 

60 

64.8 

31 

37 

1.88 

58     5 

.28 

17 

24 

1.94 

34 

.27 

17 

II 

1.94 

59 

2 

•  27 

5§ 

639 

32 

18     9 

1.94 

22 

.28 

55 

1.94 

50 

.28 

42 

2.00 

18 

.28 

58 

63.0 

33 

40 

1.94 

39 

.28 

18 

26 

1.94 

59     7 

.28 

'18 

12 

2.00 

35 

.28 

57 

62.1 

34 

19  II 

1.94 

56 

.30 

57 

2.00 

24 

•30 

42 

2.00 

52 

•30 

56 

61.2 

35 

42 

1.94 

59  14 

0.32 

19 

27 

2.00 

42 

0.32 

19 

12 

2.00 

60 

10 

0.30 

55 

60.3 

36 

20  13 

2.00 

Z3 

.32 

57 

2.00 

60     I 

•32 

42 

2.00 

28 

•32 

54 

59-4 

37 

43 

2.00 

.     52 

.33 

20 

27 

2.00 

20 

.33 

20 

12 

2.07 

47 

.33 

53 

58.5 

38 

21   13 

2.00 

60  12 

•35 

57 

2.07 

40 

•33 

41 

2.07 

61 

7 

•33 

52 

57-5 

39 

43 

2.07 

33 

•35 

21 

26 

2.07 

61     0 

.35 

21 

10 

2.14 

27 

•35 

51 

56.6 

40 

22  12 

2.07 

54 

0.37 

55 

2.07 

21 

0.35 

^l 

2.14 

48 

0.35 

50 

55-7 

41 

41 

2.07 

61    16 

.37 

22 

24 

2.14 

42 

•37 

22 

6 

2.14 

62 

9 

.37 

42 

54-7 

42 

23  10 

2.14 

38 

.38 

52 

2.14 

62     4 

•38 

34 

2.14 

31 

•37 

48 

53-8 

43 

38 

2.14 

62     I 

.40 

23 

20 

2.14 

27 

•38 

23 

2 

2.22 

53 

.38 

47 

52.8 

44 

24     6 

2.14 

25 

.40 

48 

2.22 

50 

.40 

29 

2.22 

63 

16 

.40 

46 

51.8 

45 

34 



49 

24 

15 

63   14 

56 

40 

45 

: 

50.9 

a 

60' 

h 

A_ 

a 

60' 

h 

A^ 

a 

Co' 

b 

A 

a 

t 

A 

60' 

A 

60' 

A 

60' 

^  =  54°  0' 

(?  =  54°30" 

d  =  55° 

0' 

0-727 


07I3 


0  700 


[Page  275 


\b 
b\ 

a  =  54*0' 

a  =  54"  30' 

a  =  55°0' 

X 

V 

60' 

A 

\   t 

z\ 

A 

60' 

60' 

A 

z\ 

_A 
60' 

60' 

A 

> 

t 
\ 

A 
60' 

A 

o 

0     / 

^°     ' 

0     / 

0   / 

23  5^ 

^  0 

/ 

0 

45 

•24  34 

2.22 

62  49 

0.40 

24  15 

2.22 

63  14 

0.40 

2.31 

^3 

40 

0.40 

4°5 

50.9 

40 

25     I 

2.22 

63   13 

.42 

4^ 

2.31 

.  38 

.42 

24  22 

2-3J 

64 

4 

.42 

44 

49-9 

47 

28 

2.31 

38 

•43 

25     8 

2.31 

64  3 

•43 

48 

2.31 

29 

.42 

43 

48.9 

48 

.  54 

2.31 

64     4 

•45 

^  34 

2^3i 

29 

•43 

25  14 

2.40 

54 

•43 

42 

47-9 

49 

26  20 

2.31 

31 

•45 

26     0 

2.40 

55 

•45 

39 

2.40 

65 

20 

.43 

41 

46.9 

50 

46 

2.40 

.     58 

0.47 

25 

2,40 

65  22 

0.45 

26     4 

2.50 

46 

0.45 

40 

45-9 

51 

27  II 

2.40 

65   26 

•47 

50 

2.50 

49 

•47 

28 

2.50 

66 

13 

•47 

39 

44,8 

52 

36 

2.50 

..  54 

.48 

27   14 

2.50 

66  17 

•48 

52 

2.50 

41 

•47 

38 

43-8 

53 

28    0 

2.50 

66  23 

.48 

0  3S 

2.61 

.     46 

.48 

27  16 

2.61 

67 

9 

.48 

37 

42.8 

54 

24 

2.61 

52 

.50 

28      I 

2.61 

67  15 

•50 

39 

2.61 

38 

•  48 

36 

41.7 

55 

47 

2.61 

67  22 

0.52 

24 

2.61 

.0  "^5 

0.50 

28     2 

2.73 

68 

7 

0.50 

35 

40.7 

56 

29  10 

2-73 

.0  53 

•53 

47 

2^73 

68  15 

•52 

24 

2.86 

37 

•52 

34 

39^6 

57 

32 

2-73 

68  25 

.53 

29     9 

2.86 

46 

•53 

45 

2.86 

69 

8 

•52 

33 

38^6 

58 

54 

2.86 

57 

.53 

30 

2.86 

69  18 

•53 

29     6 

2.86 

39 

•52 

32 

37^5 

59 

30  15 

2.86 

69  29 

•55 

51 

3.00 

50 

•53 

27 

3.00 

70 

10 

•53 

31 

36^4 

60 

^^ 

3.00 

70     2 

0.57 

30  II 

3.00 

70  22 

^•55 

47 

3.00 

42 

0.55 

30 

35-3 

61 

56 

3.00 

36 

•57 

31 

3.00 

55 

•57 

30     7 

3.16 

71 

15 

.55 

29 

34^3 

62 

31    16 

3.16 

71   10 

.58 

51 

3.16 

71   29 

•57 

26 

3^33 

48 

•57 

28 

33-1 

63 

35 

3-33 

45 

.58 

31    10 

3^33 

72     3 

.58 

44 

3-33 

72 

22 

•57 

27 

32.0 

64 

53 

3-33 

72  20 

.60 

28 

3-53 

38 

•58 

31      2 

3-53 

56 

.58 

26 

30^9 

65 

32  II 

3-53 

56 

0.60 

45 

3-53 

73  13 

0.60 

19 

3^53 

73 

31 

0.58 

25 

29.8 

66 

28 

3-53 

73  32 

.62 

32     2 

3.53 

49 

.60 

36 

3^75 

74 

6 

.60 

24 

28.7 

67 

45 

3-75 

74     9 

.62 

19 

3^75 

74  25 

.62 

52 

3^75 

42 

.60 

23 

27-5 

68 

53     1 

3.75 

46 

•63 

35 

4.00 

75     2 

.62 

32     8 

4.00 

75 

18 

.62 

22 

26.4 

69 

17 

4.00 

75  24 

.65 

50 

4.29 

39 

.63 

23 

4.29 

55 

.62 

21 

25.2 

70 

32 

4.29 

76     3 

0.65 

33     4 

4.29 

76  17 

0.63 

37 

4.29 

76 

32 

0.62 

20 

24.1 

71 

46 

4.62 

42 

.65 

18 

4.62 

55 

.65 

51 

4.62 

77 

9 

•  63 

19 

22.9 

72 

59 

4.62 

77  21 

.67 

31 

4.62 

77  34 

.65 

33     4 

5.00 

47 

.65 

18 

21.8 

73 

34  12 

S.oo 

78     I 

.67 

44 

5.00 

78  13 

.67 

16 

5.00 

78 

26 

.65 

17 

20.6 

74 

24 

5-45 

41 

.67 

56 

5^45 

53 

.67 

28 

5-45 

79 

5 

.65 

16 

19.4 

75 

35 

5.45 

79  21 

0.68 

34     7 

5^45 

79  33 

0,67 

39 

6.00 

44 

0.65 

15 

18.2 

76 

46 

6.00 

80     2 

.68 

18 

6.00 

80  13 

.67 

49 

6.00 

80 

23 

.67 

14 

17.0 

77 

5f 

6.00 

43 

.70 

28 

6.67 

53 

.68 

59 

8.57 

81 

3 

.67 

13 

15.8 

78 

35     6 

7.50 

81   25 

.70 

37 

7.50 

81   34 

.68 

34     8 

7.50 

43 

.67 

12 

14.6 

79 

14 

7.50 

82     7 

.70 

45 

7.50 

82  15 

.68 

16 

7.50 

82 

23 

.68 

II 

13^4 

80 

22 

8.57 

49 

0.70 

53 

8.57 

56 

0.70 

24 

8.57 

83 

4 

0.68 

10 

12.2 

81 

29 

8.57 

83  31 

.70 

35     0 

1 0.0 

83  38 

.70 

31 

1 0.0 

45 

.68 

9 

II.O 

82 

36 

12.0 

84  13 

•72 

6 

lO.O 

84  20 

.70 

37 

12.0 

84 

26 

.68 

8 

9^8 

83 

41 

12.0 

56 

.72 

12 

12.0 

85     2 

.70 

42 

12.0 

85 

7 

.70 

7 

8.6 

84 

46 

15.0 

85  39 

•73 

17 

15.0 

44 

.70 

47 

15.0 

49 

.68 

6 

7-4 

85 

50 

iS.c 

86  23 

0.72 

21 

20.0 

86  26 

0.72 

51 

20.0 

86 

30 

0.70 

5 

6.1 

86 

54 

20.0 

87     6 

•72 

24 

20.0 

87     9 

•72 

54 

20.0 

87 

12 

.70 

4 

4.9 

S7 

57 

30.0 

49 

•73 

27 

30.0 

52 

.70 

57 

30.0 

54 

.70 

3 

3-7 

88 

.  59 

60.0 

88  33 

•72 

29 

60.0 

88  34 

•72 

59 

60.  c 

88 

36 

.70 

2 

2.5 

89 

36     0 

— 

89  16 

•73 

30 

— 

89  17 

•72 

35     0 

— 

89 

18 

.70 

I 

1.2 

90 

0 

90     0 

30 

a 

90     0 

0 

90 

0 

° 

0.0 

60' 

b 

A 

60' 

b 

A 

60' 

A 

a 

a 

a 

I 

a 

^ 

A 

60' 

A 

60' 

A 

M 

^  =  54°  0' 

^  =  54°  30' 

d  =  55°0' 

] 

Page 

276] 

0 

.687 

0.( 

575 

0.662 

\b 

a  =  55°  30' 

a  =  56°0' 

a  =  56°  30' 

V 

V 

\  d 

60' 

\   t 

_A 

\  d 

60' 

\  t 

A 

\  d 

60' 

\  * 

A 

A 

b\ 

h\ 

A 

z\ 

60' 

h\ 

A 

z\ 

60' 

}i\ 

A 

z\ 

6c/ 

^\ 

^\ 

o 

0    / 

0      / 

0     / 

9      ' 

0     / 

0       / 

0 

0 

0 

0    0 

1.76 

55  30 

0.00 

0    0 

1.76 

56     0 

0.00 

0    0 

1.82 

56  30 

0.00 

§° 

90.0 

I 

34 

1.76 

30 

.02 

34 

1.82 

0 

.02 

33 

1.82 

30 

.02 

89 

89.2 

o 

I     8 

1.76 

31 

.02 

I     7 

1.76 

I 

.02 

I     6 

1.82 

31 

.02 

88 

88.3 

3 

42 

1.76 

32 

.03 

41 

1.82 

2 

•03 

39 

1.82 

32 

.03 

ll 

^^s 

4 

2  16 

1.76 

34 

.03 

2  14 

1.76 

4 

•03 

2  12 

1.82 

34 

.03 

86 

86.7 

5 

50 

1.76 

36 

0.05 

48 

1.82 

6 

0.05 

45 

1.82 

36 

0.05 

!5 

85-9 

6 

3  24 

1.82 

39 

.05 

3  21 

1.82 

9 

•°5 

3  18 

1.82 

39 

.05 

^ 

85^0 

7 

57 

1.76 

42 

.07 

54 

1.76 

12 

.07 

51 

1.82 

42 

.07 

^3 

84.2 

8 

4  31 

..76 

46 

.07 

4  28 

1.82 

16 

.07 

4  24 

1.82 

46 

.07 

82 

83^4 

9 

5     5 

1.76 

SO 

.08 

5     I 

1.82 

20 

.07 

57 

1.82 

50 

.07 

81 

82.5 

10 

39 

1.82 

55 

0.08 

34 

1.82 

24 

0.08 

5  30 

1.82 

54 

0.08 

80 

81.7 

1 1 

6  12 

1.76 

56    0 

.08 

6     7 

1.82 

29 

.10 

6     3 

1.88 

59 

.  lO 

79 

80.8 

12 

46 

1.82 

5 

.10 

40 

1.82 

35 

.10 

35 

1.82 

57     5 

.10 

78 

80.0 

13 

7  19 

1.76 

II 

.12 

7  13 

1.82 

41 

.12 

7     8 

1.88 

II 

.12 

77 

79.2 

14 

S3 

1.82 

18 

.12 

46 

1.82 

48 

.12 

40 

1.82 

18 

.12 

76 

78.3 

15 

8  26 

1.82 

25 

0-13 

8  19 

i.8a 

55 

0.13 

8  13 

1.88 

25 

0.12 

75 

77-§ 

16 

59 

1.82 

33 

.13 

52 

1.82 

57     3 

•13 

45 

1.88 

32 

•13 

74 

76.6 

17 

9  32 

1.82 

41 

•IS 

9  25 

1.88 

II 

•13 

9  17 

1.88 

40 

•15 

73 

75^8 

18 

10     5 

1.82 

50 

.15 

57 

1.88 

19 

•15 

49 

1.88 

49 

•15 

72 

74-9 

19 

38 

1.88 

59 

•17 

10  29 

1.88 

28 

•17 

10  21 

1.88 

58 

•«5 

71 

74.1 

20 

II    10 

1.82 

57     9 

0.17 

II     I 

1.88 

38 

0.17 

53 

1.88 

58     7 

0.17 

70 

73^2 

21 

43 

1,88 

19 

.18 

33 

1.88 

48 

.18 

II  25 

1.94 

17 

.18 

69 

72^3 

22 

12  15 

1.88 

30 

.18 

12     s 

1,88 

59 

.18 

56 

1.94 

28 

.18 

68 

71-5 

23 

47 

1.88 

41 

.20 

37 

1.88 

58  10 

.20 

12  27 

1.94 

39 

.18 

67 

70.6 

24 

13  19 

1.88 

S3 

.20 

13     9 

1.94 

22 

.20 

58 

1.94 

50 

.20 

66 

69.7 

25 

51 

1.88 

5^     I 

0.22 

40 

1.94 

34 

0.22 

13  29 

1.94 

59     2 

0.22 

65 

68.9 

26 

14  23 

1.94 

18 

.22 

14  II 

1.94 

47 

.22 

^4     0 

1.94 

15 

.22 

^4 

68.0 

27 

54 

1.94 

31 

•23 

42 

1.94 

59     0 

•23 

31 

2.00 

28 

.23 

63 

^I-' 

28 

15  25 

1.94 

45 

•23 

15   13 

1.94 

14 

•23 

15     I 

2.00 

42 

•23 

62 

66.2 

29 

56 

1.94 

59 

.25 

44 

2.00 

28 

.25 

31 

2.00 

56 

•25 

61 

65-3 

30 

16  27 

1.94 

59  14 

0.27 

16  14 

2.00 

43 

0.25 

16     I 

2.00 

60  II 

0.25 

60 

64.4 

31 

58 

2.00 

30 

.27 

44 

2.00 

58 

.27 

31 

2.00 

26 

.27 

59 

63-5 

32 

17  28 

2.00 

46 

.28 

17   14 

2.00 

60  14 

.27 

17     I 

2.07 

42 

•27 

58 

62.6 

33 

58 

2.00 

60     3 

.28 

44 

2.07 

30 

.28 

30 

2.07 

.     58 

.28 

5Z 

61.7 

34 

18  28 

2.00 

20 

.28 

18   13 

2.07 

47 

.30 

59 

2.07 

61    15 

.28 

56 

60.8 

35 

58 

2.07 

37 

0.30 

42 

2.07 

61     s 

0.30 

18  28 

2.14 

32 

0.30 

55 

59^9 

36 

19  27 

2.07 

55 

•32 

19  II 

2.07 

23 

•  30 

56 

2.14 

.     50 

•30 

54 

58^9 

37 

56 

2.07 

61   14 

.33 

40 

2.14 

41 

.32 

19  24 

2.14 

62     8 

•32 

53 

58.0 

38 

20  25 

2.14 

34 

•33 

20     8 

2.14 

62     0 

•33 

52 

2.14 

27 

•33 

52 

^Y 

39 

S3 

2.14 

54 

•33 

36 

2.14 

20 

•33 

20  20 

2.22 

47 

•33 

51 

56.1 

40 

21   21 

2.14 

62   14 

^•35 

21     4 

2.22 

40 

^•35 

47 

2.22 

63     7 

0.33 

50 

55-2 

41 

49 

2.22 

35 

•  37 

31 

2.22 

^3     I 

•37 

21     14 

2.22 

27 

•  35 

49 
48 

54.2 

42 

22   16 

2.22 

57 

•37 

58 

2.22 

23 

•37 

41 

2.31 

48 

•  37 

53-3 

43 

43 

2.22 

63   19 

.38 

22  25 

2.31 

45 

•37 

22       7 

2.31 

64  10 

•37 

47 
46 

52-3 

44 

23   10 

2.22 

42 

.38 

51 

2.31 

64     7 

.38 

33 

2.40 

32 

.38 

51^3 

45 

37 

64     5 

23  17 

30 

58 

55 

45 

50^3 

a 

60' 

b 

A 

a 

60' 

6 

^ 

a 

60' 

6 

_A 

a 

t 

A    1 

6c/ 

A 

6c/ 

A 

60' 

£Z  =  55°30' 

(i  =  56°0' 

(^  =  56°  30' 

0.687 


0.675 


0.662 


[Page  277 


? 

a  =  55°  30' 

a  =  56°0' 

.... 

a  =  56°  30' 

^ 

\  * 

A 

60' 

A 

\  i 

A 
60' 

60' 

A 

z\ 

A 

60' 

60^ 

A 

z\ 

A 
60' 

A 

o 

0     / 

0     / 

0     / 

1 

0      / 

0     l 

^°     ' 

0 

0 

45 

23  n 

2.31 

64    5 

0.40 

23  17 

2.31 

64  30 

0.40 

22    58 

2.40 

64  55 

0.38 

45 

50.3 

40 

24   3 

2.40 ' 

29 

.40 

43 

2.40 

54 

.40 

23    23 

2.40 

65   18 

.40 

44 

49.4 

47 

28 

2.40 

53 

.42 

24     8 

2.40 

65   18 

•42 

48 

2.40 

42 

.42 

43 

48.4 

48 

53 

2.40 

65  18 

.43 

33 

2.40 

43 

•42 

24    13 

2.50 

66     7 

•42 

42 

47^4 

49 

25  18 

2.40 

44 

.43 

58 

2.50 

66     8 

.43 

37 

2.50 

32 

•42 

41 

46.4 

SO 

43 

2.50 

66  10 

0.45 

25  22 

2.50 

34 

0-43 

25     I 

2.61 

r     57 

0.43 

40 

45^3 

51 

26   7 

2.50 

37 

•45 

46 

2.61 

67     0 

.45 

24 

2.61 

67  23 

•45 

^2 

44-3 

52 

31 

2.61 

67     4 

•47 

26     9 

2.6l 

27 

•45 

.  47 

2-73 

.0  5° 

•45 

38 

43^3 

53 

54 

2.73 

32 

•47 

32 

2-73 

54 

•47 

26     9 

2.73 

68  17 

•47 

37 

423 

54 

27  16 

2-73 

68     0 

.48 

54 

2.73 

68  22 

.48 

31 

2^73 

45 

•47 

36 

41.2 

55 

38 

2.73 

29 

0.50 

27   16 

2.86 

51 

0.48 

53 

2.86 

69  13 

0.47 

35 

40.2 

56 

28     0 

2.73 

59 

.50 

37 

2.86 

69  20 

•50 

27  14 

3.00 

41 

.48 

34 

39^  I 

57 

22 

2.86 

69  29 

•SO 

58 

3.00 

50 

•5° 

34 

3.00 

70  10 

•5° 

33 

38.1 

58 

43 

3.00 

59 

•52 

28  18 

3.00 

70  20 

•52 

„  54 

3.00 

40 

•5=- 

32 

37-0 

'59 

29     3 

3.00 

70  30 

•S3 

38 

3.00 

51 

.52 

28  14 

3.16 

71    10 

•52 

31 

35-9 

60 

23 

3.16 

71     2 

^•53 

58 

3.16 

71   22 

o^53 

33 

3^16 

41 

0.52 

30 

34-9 

61 

42 

3-33 

34 

•55 

29  17 

3^33 

54 

•53 

52 

3^33 

72  12 

•53 

29 
28 

33^8 

62 

30     0 

3-33 

72     7 

.55 

35 

3^33 

72  26 

•55 

29  10 

3^S3 

44 

•53 

32^7 

63 

18 

3-33 

40 

•57 

53 

3^53 

59 

•55 

27 

3^53 

73   16 

•55 

11 

31.6 

64 

36 

3-53 

71  M 

•57 

30  10 

3-53 

7Z  32 

•55 

44 

3^53 

49 

•55 

26 

30-5 

65 

53 

3-53 

48 

0.58 

27 

3-75 

74     5 

0.57 

30     I 

3^75 

74  22 

0.57 

25 

29.4 

66 

31   10 

3.75 

74  23 

.58 

43 

3^75 

39 

.58 

17 

4.00 

56 

•57 

24 

28.2 

67 

26 

4.00 

58 

.60 

59 

4.00 

75  14 

.58 

32 

4.00 

75   30 

•57 

23 

27.1 

68 

41 

4.29 

75  34 

.60 

31    14 

4.29 

49 

.60 

47 

4.29 

7^     4 

•58 

22 

26.0 

69 

55 

4.29 

76  10 

.60 

28 

4.29 

76  25 

.60 

31      I 

4.62 

39 

.60 

21 

24.8 

70 

32     9 

4.29 

46 

0.62 

♦    42 

4.62 

77     I 

0.60 

14 

4.62 

77  15 

0,58 

20 

23^7 

71 

23 

4.62 

77  23 

.62 

55 

4.62 

37 

.62 

27 

4.62 

0  5° 

.60 

19 

22.6 

72 

36 

5.00 

78     0 

.63 

32     8 

5.00 

78  14 

.62 

40 

5.00 

78  26 

.62 

18 

21.4 

73 

48 

5-45 

3! 

.63 

20 

5^45 

51 

.62 

52 

5-45 

79     3 

.62 

17 

20.2 

74 

59 

5-4r 

79  16 

.65 

31 

5-45 

79  28 

.63 

32     3 

6.00 

40 

.62 

16 

19.1 

75 

33  10 

6.00 

55 

0.65 

42 

6.00 

80     6 

0.63 

13 

6.00 

80  17 

0.62 

15 

17.9 

70 

20 

6.00 

80  34 

.65 

52 

6.67 

44 

•  63 

23 

6.67 

54 

.63 

14 

16.7 

77 

30 

6.67 

81   13 

.65 

33     1 

6.67 

81   22 

.65 

32 

7.50 

81    32 

.63 

13 

15^6 

78 

39 

7.50 

52 

•67 

10 

7.50 

82     I 

.65 

40 

7.50 

82   10 

.63 

12 

14.4 

79 

47 

8.57 

82  32 

.67 

18 

8.57 

40 

•65 

48 

8.57 

48 

.63 

II 

13-2 

80 

54 

8.57 

83  12 

0.67 

25 

8.57 

83  19 

0.67 

55 

8.57 

83  26 

0.65 

10 

12.0 

81 

34     I 

lO.O 

52 

.67 

32 

1 0.0 

59 

•65 

33     2 

lO.O 

84     5 

.65 

I 

10.8 

82 

7 

12.0 

84  32 

.68 

38 

12.0 

84  38 

.67 

8 

12.0 

44 

.65 

9.6 

83 

12 

12.0 

85   13 

•  67 

43 

15.0 

85   18 

.67 

13 

15.0 

85   23 

.67 

I 

8.4 

84 

17 

15.0 

53 

.68 

47 

15.0 

58 

.67 

17 

15.0 

86     3 

.65 

7.2 

85 

21 

20.0 

86  34 

0,68 

51 

20.0 

86  38 

0.67 

21 

20.0 

42 

0.65 

5 

6.0 

80 

24 

20.0 

87   15 

.68 

54 

20.0 

87  18 

.68 

24 

20.0 

87  21 

.67 

4 

4.8 

87 

27 

30.C 

5^ 

.70 

57 

30.0 

59 

.67 

27 

30.0 

88     I 

.67 

3 

3-6 

88 

29 

60.0 

88   38 

.68 

59 

60.0 

88  39 

.67 

29 

60.0 

41 

.65 

2 

2.4 

89 

30 

— 

89  19 

.68 

34     0 

— 

89  19 

.68 

30 

— 

89  20 

.67 

I 

1.2 

90 

30 

90     0 

0 

90     0 

1 

30 

90     0 

0 

0.0 

a 

60' 

6 

A 

a 

60' 

ft 

A 

a 

60' 

6      A 

a 

t 

A 

60' 

A 

60' 

A 

60' 

^  =  55°  30' 

(i  =  56°0' 

^  =  56°  30' 

Page  278]         0.649 


0.637 


0.025 


I 

a  =  57°0' 

a  =  57°  30' 

a  =  58°0' 

\\' 

'V 

\  d 

(><y 

\  ^ 

A 

\  d 

ec/ 

\  t 

A 

"V    d    60' 

\   t 

A 

■  \ 

A 

h\ 

A 

z\ 

6(y 

h\ 

A 

z\ 

ecy 

h    \^    A 

z\ 

60' 

^\ 

^\ 

0 

0    / 

0         / 

0     / 

0      / 

0     / 

0       / 

0 

0 

0    0 

1.82 

57     0 

0.00 

0    0 

1.88 

57  30  0.00 

0    0 

1.88 

58    0 

0.00 

90 

90.0 

1 

33 

1.8S 

0 

.02 

32 

1.88 

30 

.02 

32 

1.88 

0 

.02 

89 

89.2 

2 

I     5 

1.82 

I 

.02 

I     4 

1.82 

31 

.02 

I      4 

1.94 

I 

.02 

88 

88.3 

3 

38 

1.82 

2 

.03 

37 

1.88 

32 

•03 

35 

1.88 

2 

.03 

87 

87^5 

4 

2  II 

1.88 

4 

.03 

2     9 

1. 88 

34 

.03 

2     7 

1.88 

4 

•03 

86 

86.6 

5 

^^ 

1.82 

6 

0.05 

41 

1.88 

36 

0.05 

39 

1.88 

6 

0.03 

85 

85.8 

6 

3   16 

1,88 

9 

.05 

3  13 

1.88 

39 

.05 

3  II 

1.94 

8 

.05 

84 

84.9 

7 

48 

1.82 

12 

.05 

45 

1.88 

42 

.05 

42 

1.88 

II 

.07 

83 

84.1 

8 

4  21 

1.88 

IS 

.07 

4  17 

1.88 

45 

.07 

4   14 

1.94 

15 

.07 

82 

83.2 

9 

S3 

1.82 

19 

.08 

49 

1.88 

49 

.08 

45 

1.88 

19 

.08 

81 

82.4 

10 

5  26 

1.88 

24 

0.08 

5  21 

1.88 

54 

0.08 

5  17 

r.94 

24 

0.08 

80 

81.5 

1 1 

^  58 

1.88 

29 

.10 

.  53 

1.88 

59 

.08 

48 

1.88 

29 

.08 

79 

80.7 

12 

6  30 

1.88 

35 

.10 

6  25 

1.88 

58     4 

.10 

6  20 

1.94 

34 

.10 

78 

79^8 

13 

7     2 

1.88 

41 

.10 

57 

1.94 

10 

.12 

51 

1.94 

40 

•  10 

77 

79^0 

14 

34 

1.88 

47 

.12 

7  28 

1.88 

17 

.12 

7  22 

1.94 

46 

.12 

76 

78.i 

IS 

8     6 

1.88 

«   54 

0.13 

8     0 

1.94 

24 

0.12 

53 

1.94 

53 

0.12 

75 

77^3 

16 

38 

1.88 

58     2 

•13 

31 

1.94 

31 

•  13 

8  24 

1.94 

59    0 

•  13 

74 

76.4 

17 

9  10 

1.88 

10 

••3 

9     2 

1.94 

39 

•  13 

55 

1.94 

8 

•'5 

73 

75-5 

18 

42 

1.94 

18 

.15 

33 

'•94 

47 

.'5 

9  26 

2.00 

17 

•'5 

72 

74-7 

19 

10  13 

1.94 

27 

•'5 

10     4 

'•94 

56 

.'7 

56 

1.94 

26 

•15 

71 

73-8 

20 

44 

1.94 

^% 

0.17 

35 

1.94 

59     6 

0.17 

10  27 

2.00 

35 

0.17 

70 

72.9 

21 

II    15 

1.94 

46 

.18 

II     6 

1.94 

16 

•17 

57 

2.00 

45 

•  17 

69 

72.1 

22 

46 

1.94 

H 

.18 

37 

2.00 

26 

.18 

II  27 

2.00 

55 

.18 

68 

71.2 

23 

12   17 

1.94 

59     8 

.18 

12     7 

2.00 

37 

.18 

57 

2.00 

60     6 

.18 

67 

703 

24 

48 

'•94 

19 

.20 

37 

2.00 

48 

.20 

12  27 

2.00 

17 

.20 

66 

69.4 

^^ 

13   19 

2.00 

31 

0.22 

13     7 

2.00 

60     0 

0.20 

57 

2.07 

29 

0.20 

65 

68.5 

26 

49 

2.00 

44 

.22 

37 

2.00 

12 

.22 

13  26 

2.07 

41 

.22 

64 

67.6 

27 

14  19 

2.00 

.     57 

.22 

14     7 

2.00 

25 

.22 

55 

2.07 

54 

.22 

63 

66.7 

28 

49 

2.00 

60  10 

.23 

37 

2.07 

38 

,23 

14  24 

2.07 

61     7 

•23 

62 

65^8 

29 

15   19 

2.07 

24 

•25 

15     6 

2.07 

52 

•25 

53 

2.07 

21 

•23 

61 

64.9 

30 

48 

2.07 

39 

0.25 

.  35 

2.07 

61     7 

0.25 

15  22 

2.14 

35 

0.25 

60 

64.0 

31 

16  17 

2.07 

.      54 

■27 

;6    4 

2.07 

22 

•  25 

50 

2.14 

50 

•25 

59 

63^1 

32 

46 

2.07 

61    10 

.27 

33 

2.14 

37 

.27 

16  18 

2,14 

62     5 

•27 

58 

62.2 

33 

17   15 

2.C7 

26 

•27 

17     I 

2.14 

53 

.28 

46 

2.14 

21 

•27 

57 

61.3 

34 

44 

2.14 

42 

.28 

29 

2.14 

62  10 

.28 

17  14 

2.14 

37 

.28 

56 

60.4 

35 

18   12 

2.14 

^     59 

0.30 

0  57 

2.14 

27 

0.2S 

42 

2.22 

54 

0.28 

55 

59-4 

36 

40 

2.14 

62  17 

.30 

18  25 

2.22 

44 

•30 

18     9 

2.22 

63  II 

•3"' 

54 

58.5 

^l 

19     8 

2.14 

35 

.32 

52 

2.22 

63     2 

.32 

36 

2.22 

29 

.30 

53 

57-6 

38 

36 

2.22 

^     54 

.32 

19  19 

2.22 

21 

•32 

19     3 

2.31 

47 

•32 

52 

56.6 

39 

20     3 

2.22 

63  13 

•33 

46 

2.31 

40 

•  32 

29 

2.31 

64     6 

•32 

51 

55-7 

40 

^2 

2.3' 

33 

0.33 

20  12 

2.31 

59 

0-33 

55 

2.31 

25 

^•33 

<o 

54-7 

41 

56 

2.31 

<c     53 

•35 

38 

2.3' 

64    IQ 

•35 

20  21 

2.40 

45 

•33 

4? 

53-8 

42 

21   22 

2.31 

64  14 

•37 

21     4 

2.31 

40 

•35 

46 

2.40 

65     5 

•35 

48 

52-8 

43 

48 

2-3' 

36 

•37 

30 

2.40 

65        I 

.37 

21   II 

2.40 

26 

•37 

4? 

51.8 

44 

22  14 

2.40 

58 

•37 

55 

2.40 

23 

•37 

36 

2.50 

48 

•37 

46 

50.8 

45 

39 

65  20 

22  20 

45 

22    0 

66  10 

45 

49-9 

a 

60' 

& 

A 

a 

60' 

h 

A 

a 

60' 

& 

A 

a 

t 

A 

6c/ 

A 

60' 

A 

60' 

d=57°(y 

<f  =  57°30' 

^  =  58°  0' 

0.649 


0.637 


0.625 


[Page  279 


\ 

a  =  57°0' 

a  =  57°  30' 

a  =  58°0' 

I 

V 

\  d 

60' 

\  t 

A 

\  d 

60' 

\# 

A 

X  d 

6c/ 

\  * 

A 

'\ 

A 

h\ 

A 

Z\ 

60' 

h\ 

A 

Z\ 

&& 

h\ 

A 

2X 

6<y 

"X 

0 

0     ' 

^0     / 

0     / 

^°      ' 

0     / 

66   10 

^ 

0 

45 

22  39 

2.40 

65  20 

0,38 

22  20 

2.50 

65  45 

0.38 

22    0 

2.50 

0-37 

45 

49.9 

46 

23     4 

2.50 

43 

.40 

44 

2.50 

66     8 

•38 

24 

2.50 

32 

.38 

44 

48.9 

47 

28 

2.50 

66     7 

.40 

23     8 

2.50 

31 

.40 

48 

J.6. 

^     55 

•38 

43 

47-9 

48 

52 

2.50 

31 

.40 

32 

2.61 

55 

.40 

23  II 

2.61 

67  18 

.40 

42 

46.9 

49 

24  16 

2.6l 

55 

.42 

55 

2.61 

67  19 

.42 

34 

2.61 

42 

•42 

41 

45^9 

50 

39 

2.61 

67  20 

0-43 

24  18 

2.61 

44 

0.42 

57 

2-73 

68     7 

0.42 

40 

44.9 

51 

25     2 

2.61 

46 

•43 

41 

2-73 

68     9 

•43 

24  19 

2.73 

32 

.42 

39 

43-8 

52 

25 

2.73 

68  12 

•45 

25     3 

2-73 

35 

•43 

41 

2.86 

.     57 

•43 

38 

42.8 

53 

47 

2-73 

39 

.45 

25 

2.86 

69     I 

•45 

25     2 

2.86 

69  23 

•45 

37 

41.8 

54 

26     9 

2.86 

69     6 

•47 

46 

2.86 

28 

•47 

23 

2.86 

50 

•45 

36 

40.7 

55 

30 

2.86 

34 

0.47 

26     7 

3.00 

56 

0.47 

44 

3.00 

70  17 

0.45 

35 

39^7 

56 

51 

3.00 

70     2 

.48 

27 

3.00 

70  24 

•47 

26     4 

3.16 

44 

•47 

34 

38.7 

57 

27   II 

3.00 

31 

•5° 

47 

3.16 

52 

.48 

23 

3.16 

71    12 

.48 

33 

37-6 

58 

31 

3.. 6 

71      I 

.50 

27     6 

3.16 

71  21 

.48 

42 

>i6 

41 

.48 

32 

36^5 

59 

50 

3.16 

31 

.50 

25 

3.16 

50 

.50 

27     I 

3-33 

72   10 

.48 

31 

35^5 

60 

28     9 

3-33 

72     I 

0.52 

44 

3-33 

72  20 

0.50 

19 

3^33 

39 

0.50 

30 

34-4 

61 

27 

3.33 

32 

.52 

28     2 

3-53 

50 

•52 

37 

3-53 

73     9 

•50 

29 

33^3 

62 

45 

3-53 

73     3 

•S3 

19 

3-53 

71  21 

•52 

54 

3^53 

39 

•52 

28 

32^2 

€>Z 

29     2 

3-53 

35 

•S3 

36 

3-53 

52 

.53 

28  II 

3^75 

74  10 

•52 

^1 

3i^i 

64 

19 

3-75 

74     7 

•S3 

53 

3-75 

74  24 

•53 

27 

4.00 

41 

.52 

26 

30.0 

65 

35 

4.00 

39 

0.55 

29    9 

4.00 

56 

o^53 

42 

4.00 

75   12 

^•53 

25 

28.9 

66 

50 

4.00 

75   12 

•S7 

24 

4.00 

75  28 

•55 

57 

4.00 

44 

•55 

24 

^i 

67 

30     5 

4.00 

46 

•57 

39 

4.29 

76     I 

•57 

29  12 

4.29 

76  17 

•55 

23 

26.7 

68 

20 

4.29 

76  20 

•57 

53 

4.62 

35 

•55 

26 

4.62 

50 

•55 

22 

25-6 

69 

34 

4.62 

54 

.58 

30     6 

4.62 

77     8 

•57 

39 

4.62 

77  23 

•55 

21 

24-5 

70 

47 

4.62 

77  29 

0.5S 

19 

4.62 

42 

0.58 

52 

5.00 

«  5^ 

0.57 

20 

233 

71 

31     0 

5.00 

78     4 

.58 

32 

5.00 

78  17 

•58 

30     4 

5.00 

7&  30 

•57 

19 

22.2 

72 

12 

5-45 

39 

.60 

44 

5-45 

52 

•58 

16 

5-45 

79     4 

.58 

18 

21. 1 

73 

23 

5-45 

79  15 

.60 

55 

5-45 

79  27 

.58 

27 

6.00 

0     ^9 

•58 

17 

19.9 

74 

34 

6.00 

51 

.60 

31     6 

6.00 

80     2 

.60 

37 

6.00 

80  14 

•58 

16 

18.8 

75 

44 

6.00 

80  27 

0.62 

16 

6.67 

38 

0.60 

.     47 

6.67 

49 

0.58 

15 

I7^6 

76 

54 

6.67 

81     4 

.62 

25 

6.67 

81   14 

.62 

56 

6.67 

81   24 

.60 

14 

16.5 

77 

32     3 

7.50 

41 

•  63 

34 

7.50 

51 

.60 

31      5 

7.50 

82     0 

.60 

13 

15-3 

78 

II 

7.50 

82  19 

.62 

42 

7.50 

82  27 

.62 

13 

7.50 

0     ^^ 

.60 

12 

14.1 

79 

19 

8.57 

56 

.63 

50 

8.57 

83     4 

.62 

21 

8.57 

83   12 

.60 

II 

13-0 

80 

26 

10.0 

83  34 

0.63 

57 

1 0.0 

41 

0.62 

28 

lO.O 

48 

0.62 

10 

11.8 

81 

32 

lO.O 

84  12 

•63 

32     3 

10. 0 

84  18 

.63 

34 

12.0 

84  25 

.62 

9 

10.6 

82 

38 

12.0 

SO 

•63 

9 

12.0 

56 

.63 

39 

12.0 

8s     2 

.62 

8 

i'5 

83 

43 

12.0 

85  28 

.65 

14 

15.0 

85   34 

.62 

44 

15.0 

39 

.62 

7 

8.3 

84 

48 

15.0 

86     7 

•65 

18 

15.0 

86  II 

.63 

48 

15.0 

86  16 

.62 

6 

7-1 

85 

52 

■20.0 

46 

0.63 

22 

20.0 

49 

0.63 

52 

20.0 

53 

0.62 

5 

5-9 

86 

55 

30.0 

87  24 

.65 

25 

30.0 

87  27 

.63 

55 

30.0 

87  30 

•  63 

4 

H 

87 

57 

30.0 

88     3 

.65 

27 

30.0 

88     5 

.65 

57 

30.0 

88     8 

.62 

3 

3-6 

88 

59 

60.0 

42 

.65 

29 

60.0 

44 

•63 

59 

60.0 

45 

.63 

2 

2.4 

89 

33     0 

— 

89  21 

.65 

30 

— 

89  22 

.63 

52     0 

— 

89  23 

.62 

I 

1.2 

90 

0 

90     0 

30 

90     0 

0 

90     0 

0 

0.0 

u 

6(y 

b 

A 

a 

60' 

b 

A 

a 

60' 

b 

_A 

a 

t 

A 

6cy 

A 

60' 

A 

60' 

d  =  5T0' 

d^STSO' 

fZ  =  58°0' 

Page  280]         0.613 


0.60X 


0.589 


\ 

a  =  58°  30' 

a  =  59°  0' 

a  =  59°  30' 

^' 

\  ** 

\  d 

60' 

\  * 

A 

\ 

<f 

60' 

\ 

t 

A 

\ 

d 

60' 

\   t 

A 

A 

A 

0 

A  \ 

A 

z\ 

60' 

A^ 

\ 

A 

z 

\ 

60' 

r 

\ 

A 

z\ 

60' 

^\ 

0     i 

0       / 

0 

/ 

0 

/ 

0 

/ 

0      / 

0 

0 

0 

0    0 

1.94 

58  30 

0.0c 

0 

0 

1.94 

59 

0 

0.00 

0 

0 

2.00 

59  30 

0.00 

90 

90.0 

I 

31 

1.88 

30 

.02 

31 

1.94 

0 

.02 

30 

1.94 

30 

.02 

89 

89.1 

2 

I     3 

1.94 

31 

.02 

I 

2 

1.94 

I 

.02 

I 

I 

2.00 

31 

.02 

88 

88.3 

3 

34 

1.94 

32 

.03 

32, 

'•94 

2 

•03 

31 

'•94 

32 

.03 

87 

87-4 

86.6 

4 

2     5 

1.88 

34 

•03 

2 

4 

2.00 

4 

.03 

2 

2 

2.00 

34 

•03 

86 

5 

37 

1.94 

36 

0.03 

34 

'•94 

6 

0.03 

32 

2.00 

3f 

0.03 

^5 

85-7 

6 

3     8 

'•94 

38 

.05 

3 

5 

'•94 

8 

.05 

3 

2 

'•94 

38 

.05 

f4 

84.9 

7 

39 

1.94 

41 

.07 

36 

1.94 

II 

.07 

33 

2.00 

41 

.07 

P 

84.0 

8 

4  10 

1.94 

45 

.07 

4 

7 

2.00 

15 

.07 

4 

3 

2.00 

45 

.07 

82 

83^i 

9 

41 

1.94 

49 

.07 

37 

1.94 

19 

.07 

33 

2.00 

49 

.07 

81 

82.3 

ID 

5  12 

1.94 

53 

0.08 

5 

8 

2.00 

23 

0.08 

5 

3 

2.00 

53 

0.08 

80 

81.4 

II 

43 

1.94 

58 

.10 

38 

1.94 

28 

.08 

33 

2.00 

.     58 

.08 

79 

80.5 

12 

6  14 

1.94 

59     4 

.10 

6 

9 

2.00 

33 

.10 

6 

3 

2.00 

60     3 

.  10 

78 

^•z 

13 

45 

1.94 

10 

.10 

39 

2.00 

39 

.10 

33 

2.00 

9 

.10 

77 

78.8 

14 

7  16 

1.94 

16 

.12 

7 

9 

2.00 

45 

.12 

7 

3 

2.00 

15 

.12 

76 

77-9 

IS 

„  47 

a. 00 

23 

0.12 

39 

2.00 

52 

0.12 

33 

2.00 

22 

0,12 

75 

77.1 

16 

8  17 

a.  00 

3? 

.'3 

8 

9 

2.00 

59 

•13 

8 

3 

2.07 

29 

•  13 

74 

76.2 

17 

47 

a.  00 

^l 

.13 

39 

2.00 

60 

7 

.'3 

32 

2,07 

37 

•  '3 

73 

75-3 

18 

9  17 

2.00 

46 

.15 

9 

9 

2.00 

15 

•15 

9 

1 

2.00 

45 

.13 

72 

74-4 

19 

47 

1. 00 

55 

.15 

39 

2.00 

24 

•15 

31 

2.07 

53 

•15 

71 

73-6 

20 

10  17 

a.  00 

60    4 

0.17 

10 

9 

2.07 

33 

0.17 

10 

0 

2.07 

61     2 

0.17 

70 

72.7 

21 

•47 

2.00 

14 

.17 

38 

2.07 

43 

•'7 

29 

2.07 

12 

•17 

69 

71.8 

22 

II    17 

2.00 

24 

•17 

II 

7 

2.07 

53 

.'7 

5! 

2.14 

22 

•17 

68 

70.9 

23 

47 

2.07 

34 

.18 

36 

2.07 

61 

3 

.18 

II 

26 

2.07 

32 

.18 

67 

70.0 

24 

12  16 

2.07 

45 

.20 

12 

5 

2.07 

14 

.20 

55 

2.14 

43 

.18 

66 

69^i 

25 

45 

2.07 

57 

0.20 

34 

2.07 

26 

0.20 

12 

23 

2.14 

54 

0.20 

65 

68.2 

26 

13   14 

2.07 

61     9 

.22 

13 

3 

2.14 

38 

.20 

51 

2.14 

62     6 

.20 

^J 

67^3 

27 

43 

2.07 

22 

.22 

31 

2.14 

50 

.22 

13 

19 

2.14 

18 

.22 

63 

66.4 

28 

14  12 

2.07 

35 

•23 

59 

2.14 

62 

3 

•  23 

47 

2.14 

31 

.22 

62 

655 

29 

41 

2.14 

49 

.23 

14 

27 

2,14 

17 

.23 

14 

15 

2.22 

44 

•  23 

61 

64^6 

30 

15     9 

2.14 

62     3 

0.23 

55 

2.14 

31 

0.23 

42 

2.22 

58 

0.25 

60 

637 

31 

i7 

2.14 

17 

•25 

15 

23 

2.22 

45 

.25 

15 

9 

2.22 

63  13 

.25 

5§ 

62.8 

32 

16     5 

2.22 

32 

•27 

50 

2.22 

63 

0 

.25 

36 

2.22 

28 

.25 

s8 

61.8 

33 

32 

2.22 

48 

•  27 

16 

17 

2.22 

15 

.27 

16 

3 

2.31 

43 

•25 

57 

60.9 

34 

59 

2.22 

€>l     4 

.28 

44 

2.22 

31 

.28 

29 

2.31 

58 

•27 

56 

60.0 

35 

17  26 

2.22 

21 

0.28 

17 

II 

2.31 

48 

0,28 

55 

2.31 

64  14 

0.28 

55 

59^0 

36 

0  53 

2.22 

38 

.28 

37 

2.31 

64 

5 

.28 

17 

21 

2.31 

31 

.28 

54 

58.1 

37 

18  20 

2-3' 

.     55 

.3° 

18 

3 

2.31 

22 

•30 

47 

2.40 

48 

•  30 

53 

57-1 

38 

46 

2.31 

64  13 

•32 

29 

2-3' 

40 

•3c 

18 

12 

2.40 

65     6 

.30 

52 

56.2 

39 

19  12 

2.31 

32 

•32 

55 

2.40 

58 

•32 

37 

2.40 

24 

•32 

51 

55-2 

40 

38 

2.40 

,     51 

0.33 

19 

20 

2.40 

65 

17 

0.32 

19 

2 

2.40 

43 

0.32 

SO 

54-3 

41 

20     3 

2.40 

65   II 

•33 

45 

2.40 

3f 

•33 

27 

2.50 

66     2 

•33 

49 

53-3 

42 

28 

2.40 

31 

•35 

20 

10 

2.50 

56 

•35 

51 

2.50 

22 

.33 

48 

523 

43 

53 

2.50 

..  52 

•35 

34 

2.50 

66 

17 

•35 

20 

15 

2.50 

42 

•33 

47 

51-4 

44 

21   17 

2.50 

66  13 

•35 

58 

2.50 

38 

•35 

39 

2.61 

67     2 

•35 

46 

50^4 

45 

41 

34 

21 

22 

59 

21 

2 

23 

45 

49.4 

60' 

& 

A 

60' 

b 

A 

60' 

b 

A 

a 

a 

a 

a 

t 

A 

60' 

A 

60' 

A 

60' 

d  =  58°30' 

d  =  59°0' 

^  =  59°  30^ 

0. 

613 

o.6oi 

0.589 

[Page  281 

\ 

a  =  58°  30' 

a  =  59°0' 

a  =  59°  30' 

V 

V 

\  d 

fxy 

\  t 

A 

\  d 

60' 

\  t 

A 

\^<f    60^ 

\  t 

A 

A 

A 

A  \ 

A 

z\ 

60' 

h\ 

A 

z\ 

60' 

k  ^s.      A 

z\ 

6(y 

A 

^ 

o 

45 

0     / 

21  41 

2.50 

6§  34 

0.37 

0    / 
21  22 

2.61 

0      / 

66  59 

0.37 

0       / 
21      2 

2.61 

67  23 

0.37 

4*5 

0 
49.4 

46 

22    5 

2.61 

.     56 

.38 

45 

2.61 

67  21 

•37 

25 

2.73 

.r,     45 

•37 

44 

48.4 

47 

28 

2.61 

67  19 

.38 

22     8 

2.73 

43 

•38 

47 

2.73 

68     7 

•37 

43 

47-4 

48 

51 

2.61 

42 

.40 

30 

2.73 

68     6 

.38 

22     9 

2.73 

29 

.38 

42 

46.4 

49 

23  14 

2-73 

68     6 

.40 

52 

2.73 

29 

.40 

31 

2.73 

52 

.40 

41 

45-4 

SO 

3^ 

2-73 

30 

0.42 

23   14 

2-73 

.     53 

0.40 

53 

2.86 

69  16 

0.40 

40 

44.4 

51 

58 

2.85 

55 

.42 

36 

2.86 

69  17 

•42 

23   14 

2.86 

40 

.40 

39 

43-4 

52 

24  19 

2.86 

69  20 

.42 

57 

3.00 

42 

•42 

35 

3.00 

70     4 

.42 

38 

42-3 

53 

40 

3.00 

45 

•43 

24  17 

3.00 

70     7 

•43 

55 

3.00 

29 

•42 

37 

4i^3 

54 

25     0 

3.00 

70  II 

.45 

37 

3.00 

33 

•43 

24  15 

3.16 

54 

•43 

36 

40.3 

55 

20 

3.00 

38 

0.4s 

57 

3.00 

5? 

0.45 

34 

3.16 

71   20 

0-43 

35 

39-2 

56 

40 

3.16 

71     5 

.47 

25   17 

3.'6 

71  26 

•45 

53 

3,16 

46 

•45 

34 

38.2 

57 

.  5f 

3.16 

33 

•47 

36 

3-33 

53 

•45 

25   12 

3^33 

72  13 

•45 

33 

37^i 

58 

26  18 

3-33 

72     I 

•47 

54 

3-33 

72  20 

•47 

30 

3-53 

40 

•45 

32 

36-1 

59 

36 

3.33 

29 

.48 

26  12 

3-53 

48 

.48 

47 

3-53 

73     7 

•47 

31 

35^0 

60 

54 

3.33 

58 

0.48 

29 

3.53 

73  17 

0.48 

26     4 

3-53 

35 

0.48 

30 

34-0 

61 

27   12 

3-53 

73  27 

.50 

46 

3-53 

46 

.48 

21 

3-75 

74     4 

•48 

29 

329 

62 

29 

3-75 

57 

.50 

27     3 

3-75 

74  15 

.50 

37 

3-75 

33 

.48 

28 

31.8 

63 

„  45 

3-75 

74  27 

.52 

19 

3-75 

45 

.50 

5^ 

4.00 

75     2 

.48 

27 

307 

64 

28     I 

4.00 

58 

.52 

35 

4.00 

75  15 

•50 

27     8 

4.00 

31 

•50 

26 

29.6 

65 

16 

4.00 

75  29 

0.52 

SO 

4.29 

45 

0.52 

23 

4.29 

76     I 

0.50 

25 

28.5 

66 

31 

4.29 

76     0 

•53 

28     4 

4.29 

76  16 

•52 

37 

4.29 

31 

•52 

24 

27.4 

67 

45 

4.29 

32 

•S3 

18 

4.62 

47 

•53 

„  51 

4.62 

77     2 

•52 

23 

26.3 

68 

59 

4.62 

77     4 

•55 

31 

4.62 

77  19 

•53 

28     4 

4.62 

„  33 

•53 

22 

25.2 

69 

29  12 

5.00 

37 

•55 

44 

4.62 

51 

•53 

17 

5.00 

7S     5 

•53 

21 

24.1 

70 

24 

5.00 

78  10 

0.55 

57 

5.00 

78  23 

0.55 

29 

5.00 

37 

0.53 

20 

23.0 

71 

36 

5.00 

43 

•57 

29     9 

5-45 

56 

•55 

41 

5-45 

79     9 

•53 

19 

21.9 

72 

48 

5-45 

79  17 

.57 

20 

6.00 

79  29 

•55 

52 

6.00 

41 

•55 

18 

20.8 

73 

59 

6.00 

51 

•57 

30 

6.00 

80     2 

•57 

29     2 

6.00 

80  14 

•55 

17 

19.6 

74 

30     9 

6.00 

80  25 

•57 

40 

6.00 

36 

•57 

12 

6.67 

47 

•55 

16 

18.5 

75 

19 

6.67 

59 

0.58 

50 

6.67 

81   10 

0.57 

21 

6.67 

81   20 

0-55 

15 

17.4 

76 

28 

7.50 

81   34 

•58 

59 

7.50 

44 

.57 

^o 

7.50 

0     53 

•57 

14 

16.2 

77 

36 

7.50 

82     9 

.58 

30     7 

7.50 

82   18 

•58 

3f 

7.50 

82  27 

•57 

13 

15-1 

78 

44 

8.57 

44 

.60 

15 

8.57 

0      53 

.58 

46 

8.57 

83     I 

•57 

12 

13-9 

79 

51 

8.57 

83  20 

.60 

22 

8.57 

83  28 

•58 

53 

1 0.0 

35 

•58 

II 

12.8 

80 

58 

lO.O 

56 

0.60 

29 

lO.O 

84     3 

0,58 

59 

lO.O 

84  10 

0.57 

10 

11.6 

81 

31      4 

12.0 

84  32 

.60 

35 

12.0 

38 

•58 

30     5 

12.0 

44 

•58 

9 

lo.s 

82 

9 

12.0 

85     8 

.60 

40 

12.0 

85   13 

.60 

10 

12.0 

85   19 

•58 

8 

9-3 

83 

14 

15.0 

44 

.60 

45 

15.0 

49 

•58 

IS 

15.0 

.  54 

•5« 

7 

8.2 

84 

18 

15.0 

86  20 

.60 

49 

20.0 

86  24 

.60 

19 

20.0 

86  29 

•58 

6 

7.0 

85 

22 

2C.O 

56 

0.62 

52 

20.0 

87     0 

0.60 

22 

20.0 

87     4 

0.58 

5 

5-8 

80 

25 

30.0 

87  33 

,62 

55 

30.0 

36 

.60 

25 

30.0 

39 

.Sb 

4 

4-7 

87 

27 

30.0 

88   10 

,60 

57 

30.0 

88   12 

.60 

27 

30.0 

88   14 

•  58 

3 

3-5 

88 

29 

60.0 

46 

.62 

59 

60.0 

48 

.60 

29 

60.0 

49 

.60 

2 

2.3 

89 

30 

— 

89  23 

.6z 

31     0 

— 

89  24 

.60 

30 

— 

89  25 

.58 

I 

1.2 

90 

30 

90     0 

0 

90     0 

30 

90     0 

0 

0.0 

a 

6c/ 

h 

A 

a 

^          b 

A 

a 

6c/ 

b 

A 

a 

/ 

A 

1 

60' 

A 

60' 

A 

6c/ 

d  =  58°  30' 

d  =  5Q°0' 

d  =  59°20' 

Page  282] 

0 

577 

0.566 

0.554 

\b 

a  =  60° 

0' 

a  =  60°  30' 

a  =  61°0' 

\ 

\  * 

6(y 

A 

> 

t 

\ 

A 
60' 

h 

\ 

60' 
A 

\ 

z 

t 

\ 

A 

> 

d 

60' 

A 

\ 

z 

t 

\ 

A 
60' 

\ 

o 

0     / 

^0 

4 

0 

/ 

^0 

/ 

0 

/ 

^0 

/ 

g 

0 

0 

0    0 

2.00 

60 

0 

0.00 

0 

0 

2.00 

60 

30 

0.00 

0 

0 

2.07 

61 

0 

0.00 

90 

90.0 

I 

30 

2.00 

0 

.02 

30 

2.07 

30 

.02 

29 

2.07 

0 

.02 

8q 

89.1 

2 

I    0 

2.00 

I 

.02 

59 

2.00 

31 

.02 

58 

2.07 

I 

.02 

88 

88.3 

3 

30 

2.00 

2 

•03 

I 

29 

2.07 

32 

.03 

I 

27 

2.07 

2 

.03 

87 

ll-^ 

4 

2    0 

2.00 

4 

•03 

58 

2.00 

34 

•03 

56 

2.07 

4 

.03 

86 

86.5 

5 

30 

2.00 

6 

0.03 

2 

28 

2.07 

3^ 

0.03 

2 

25 

2.07 

6 

0.03 

85 

85.6 

6 

3     0 

2.00 

8 

•05 

57 

2.07 

38 

•05 

54 

2.07 

8 

.05 

84 

84.3 

7 

30 

2.07 

II 

.05 

3 

26 

2.00 

41 

■05 

3 

23 

2.07 

II 

•05 

83 

839 

8 

59 

2.00 

14 

.07 

56 

2.07 

44 

.07 

52 

2.07 

14 

.07 

82 

83.0 

9 

4  29 

2.00 

18 

.08 

4 

25 

2.07 

48 

•07 

4 

21 

2.07 

18 

.07 

81 

82.2 

10 

59 

2.00 

23 

0.08 

54 

2.07 

52 

0.08 

SO 

2.07 

22 

0.08 

80 

81.3 

II 

5  29 

2.07 

28 

,08 

5 

23 

2.07 

57 

.08 

5 

19 

2.14 

27 

.08 

79 

80.4 

12 

58 

2.00 

33 

.08 

52 

2.07 

61 

2 

.10 

47 

2.07 

32 

.10 

78 

79-5 

13 

6  28 

2.07 

38 

.10 

6 

21 

2.07 

8 

.10 

6 

16 

2,14 

38 

.10 

77 

78.6 

14 

57 

2,07 

44 

.12 

50 

2.07 

14 

.12 

44 

2.07 

44 

.10 

76 

77.8 

15 

7  26 

2.07 

SI 

0.12 

7 

19 

2.07 

21 

0.12 

7 

13 

2.14 

50 

0.12 

75 

76.9 

i6 

0  55 

2.07 

58 

•13 

48 

2.07 

28 

.  12 

41 

2.14 

57 

.12 

74 

76.0 

17 

8  24 

2.07 

61 

6 

•13 

8 

17 

2.14 

35 

••3 

8 

9 

2.14 

62 

4 

•'3 

73 

75-1 

i8 

53 

2.07 

14 

•13 

45 

2.07 

43 

•13 

37 

2.14 

12 

•13 

72 

74-2 

19 

9  22 

2.07 

22 

•15 

9 

14 

2.14 

51 

•15 

9 

5 

2.14 

20 

•IS 

71 

73-3 

20 

51 

2.14 

31 

0.15 

42 

2.14 

62 

0 

0.15 

33 

2.22 

29 

0.15 

70 

72.4 

21 

10  19 

2.07 

40 

.17 

10 

10 

2.14 

9 

•17 

10 

0 

2,14 

38 

•17 

69 

71-5 

22 

48 

2.14 

50 

.18 

38 

2.14 

19 

.17 

28 

2.22 

48 

•17 

68 

70.6 

23 

II    16 

2.14 

62 

I 

.18 

1 1 

6 

2.22 

29 

.18 

55 

2.22 

58 

.18 

P 

69.7 

24 

44 

2.14 

12 

.18 

33 

2.14 

40 

.18 

II 

22 

2.22 

63 

9 

.i8 

66 

68.8 

25 

12   12 

2.14 

23 

0.20 

12 

I 

2.22 

SI 

0.20 

49 

2.22 

20 

0.18 

65 

67.9 

2D 

40 

2.22 

35 

.20 

28 

2.22 

63 

3 

.20 

12 

16 

2.22 

31 

.20 

^4 

67.0 

27 

13     7 

2.22 

47 

.20 

55 

2.22 

15 

.20 

43 

2.31 

43 

.20 

63 

66.1 

28 

34 

2.22 

59 

.22 

13 

22 

2.22 

27 

.22 

13 

9 

2.31 

55 

.22 

62 

65.2 

29 

14     I 

2.22 

63 

12 

.23 

49 

2.31 

40 

•23 

36 

2.31 

64 

8 

.22 

61 

64.2 

30 

28 

2.22 

26 

0.23 

14 

15 

2.31 

54 

0.23 

14 

2 

2.31 

21 

0.23 

60 

633 

31 

55 

2.22 

40 

•25 

41 

2.31 

64 

8 

•23 

28 

2.40 

35 

•23 

5§ 

62.4 

32 

I  5  22 

2.31 

55 

.25 

15 

7 

2-31 

22 

.25 

S3 

2.31 

49 

•25 

58 

61.S 

33 

48 

2-31 

64 

10 

.25 

33 

2.31 

37 

•25 

IS 

19 

2.40 

65 

4 

•25 

5? 

60.5 

34 

16  14 

2.31 

25 

•27 

59 

2.40 

52 

•27 

44 

2.40 

19 

.27 

56 

59-6 

35 

40 

2-31 

41 

0.28 

16 

24 

2.40 

65 

8 

0.27 

16 

9 

2,40 

35 

0.27 

55 

58.6 

36 

17     6 

2.40 

58 

.28 

49 

2.40 

24 

.28 

34 

2.50 

51 

•27 

54 

57-7 

37 

H 

2.40 

65 

15 

.28 

17 

14 

2.40 

41 

.28 

58 

2.50 

66 

7 

.28 

53 

567 

38 

56 

2.40 

32 

•30 

39 

2.50 

58 

•30 

17 

22 

2^50 

24 

•30 

52 

55-8 

39 

18  21 

2.50 

50 

.30 

18 

3 

2.50 

66 

16 

.30 

46 

2.50 

42 

.30 

51 

54-8 

40 

45 

2.50 

66 

8 

0.32 

27 

2.50 

34 

0.32 

18 

10 

2.61 

67 

0 

0.30 

50 

53-9 

41 

19     9 

2.50 

27 

•33 

51 

2.61 

53 

•32 

33 

2.61 

18 

•32 

42 

52.9 

42 

H 

2.61 

47 

.33 

19 

14 

2.61 

67 

12 

.32 

56 

2.61 

37 

.32 

48 

519 

43 

56 

2.61 

67 

7 

•  33 

37 

2.61 

31 

■33 

19 

19 

2.73 

56 

.33 

47 

50.9 

44 

20  19 

2.61 

27 

•35 

20 

0 

2.61 

51 

•35 

41 

2.73 

68 

16 

•33 

46 

50.0 

45 

42 

48 

23 

68 

12 

20 

3 

3fi 

45 

49.0 

60' 

b 

A 

60' 

6 

A 

60' 

b 

A 

a 

a 

a 

a 

t 

A 

60' 

A 

60' 

A 

60' 

d  =  60°0' 

d  =  60°30' 

t?  =  61°0' 

0.577 


0.566 


0.554 


[Page  283 


\b 

a  =  60°  0' 

a  =60°  30' 

a  =  61°0' 

\ 

\" 

\  d 

6c/ 

i\   i 

A 

\  d 

60' 

\   t 

A 

\  d 

6<y 

\,  t 

A 

„\ 

b\ 

^   \ 

A 

\Z\ 

60' 

h\ 

A 

Z\ 

6(y 

k\ 

A 

z\ 

6(y 

£\ 

B\ 

0 

0     / 

0     / 

0     / 

0      / 

0      / 

0       / 

0 

AS 

20  42 

2.61 

67  48 

0.35 

20  23 

2-73 

68   12 

^•35 

20    3 

2.73 

68  36 

0-33 

45 

49.0 

4b 

21     5 

2-73 

68     9 

•37 

45 

2.73 

22 

•35 

25 

2.86 

56 

•35 

44 

48.0 

47 

27 

2-73 

31 

•37 

21     7 

2.86 

.     54 

•37 

46 

2.86 

69  17 

•37 

43 

47.0 

48 

49 

2.86 

.     5^ 

.37 

28 

2.86 

69  16 

.37 

21     7 

2.86 

39 

•37 

42 

46.0 

49 

22   10 

2,86 

69  15 

.38 

49 

2.86 

38 

.38 

28 

3.00 

70     I 

•37 

41 

450 

50 

31 

2.86 

38 

0.40 

22  10 

3.00 

70     I 

0.38 

48 

3.00 

23 

0.38 

40 

44.0 

51 

52 

3.00 

70     2 

.40 

30 

3.00 

24 

.40 

22     8 

3.00 

46 

.3S 

39 

42.9 

52 

23   12 

3.00 

26 

.40 

50 

3.00 

48 

.40 

28 

3.16 

71     9 

.40 

38 

41.9 

53 

32 

3.00 

50 

.42 

23   10 

3.16 

71    12 

.40 

47 

3.16 

23 

.40 

37 

40.9 

54 

52 

3.16 

71    15 

.43 

29 

3-33 

36 

.42 

23     6 

3.33 

57 

•42 

36 

39-9 

55 

24  II 

3-33 

41 

0.43 

47 

3.33 

72      I 

0.43 

24 

3-33 

72  22 

0.42 

35 

38.8 

56 

29 

3.33 

72     7 

.43 

24     5 

3.33 

27 

•43 

42 

3-33 

47 

•42 

34 

37^8 

^l 

47 

3-33 

23 

.43 

23 

3-33 

53 

•43 

24     0 

3.53 

72   12 

•43 

33 

36.7 

58 

25     5 

3-33 

59 

•45 

41 

3.53 

72  19 

•43 

17 

3.75 

38 

•43 

32 

35^7 

59 

23 

3-53 

72  26 

•47 

58 

3^53 

45 

•45 

22 

3-75 

74     4 

•43 

31 

34-6 

6o 

40 

3-7S 

54 

0.47 

25   15 

3-75 

74  12 

0.47 

49 

3-75 

30 

0.45 

30 

33-6 

6i 

.  56 

3-75 

74  22 

•47 

^k 

4.00 

40 

•47 

25     5 

3-75 

57 

•47 

29 

32^5 

62 

26  12 

4.00 

50 

.48 

46 

4.00 

75     8 

•47 

21 

4.00 

75  25 

•47 

28 

31-4 

^3 

27 

4.00 

75   19 

.48 

26     I 

4.00 

.  36 

•47 

26 

4.29 

53 

•47 

27 

30.3 

64 

42 

4.00 

48 

.48 

16 

4.29 

76     4 

.48 

50 

4.29 

76  21 

•47 

26 

293 

^1 

57 

4.29 

76  17 

0.50 

30 

4.29 

22 

0.48 

26    4 

4.62 

49 

0.48 

25 

28.2 

66 

27   II 

4.62 

47 

.50 

44 

4.62 

77     2 

•50 

17 

4.62 

77   18 

.48 

24 

27.1 

67 

24 

4.62 

77   17 

•52 

57 

4.62 

32 

•50 

30 

4.62 

47 

.48 

23 

26.0 

68 

37 

4.62 

48 

•52 

27  10 

5.00 

78     2 

.50 

43 

5.00 

78   16 

•50 

22 

24.9 

69 

50 

5.00 

78   19 

.52 

22 

5.00 

32 

.52 

55 

5-45 

46 

.50 

21 

23.8 

70 

28     2 

5-45 

50 

0.52 

34 

5-45 

79     3 

0.52 

27     6 

5-45 

79  16 

0.50 

20 

22.7 

71 

n 

5-45 

79  21 

•53 

45 

5-45 

34 

.52 

17 

6.00 

46 

•52 

19 

21.6 

72 

24 

6.00 

0     53 

•53 

56 

6.00 

80     5 

•52 

27 

6.00 

80  17 

•52 

18 

20.5 

73 

34 

6.00 

80  25 

•53 

28     6 

6.67 

36 

•53 

27 

6.67 

48 

•52 

17 

19.4 

74 

44 

6.67 

57 

•55 

15 

6.67 

81      8 

•53 

46 

6.67 

81    19 

•52 

16 

18.2 

75 

53 

7.50 

81   30 

o.ss 

24 

7,50 

40 

^•53 

55 

7.50 

50 

0-53 

15 

17. 1 

76 

29     I 

7.50 

82     3 

.55 

32 

7.50 

82   12 

•55 

28     3 

7.50 

82  22 

•53 

14 

16.0 

77 

9 

7.50 

0     36 

.55 

40 

8.57 

45 

•S3 

II 

8.57 

54 

•53 

13 

14.9 

78 

17 

8.57 

83     9 

.57 

47 

§•57 

83   17 

•55 

18 

8.57 

83  26 

•53 

12 

137 

79 

24 

lO.O 

43 

•55 

54 

lO.O 

50 

•55 

25 

1 0.0 

58 

•53 

11 

12.6 

80 

25 

1 0.0 

84  16 

O.S7 

29    0 

lO.O 

84  23 

0.5s 

31 

lO.O 

84  30 

=>-55 

10 

"•5 

81 

36 

12.0 

0     50 

.57 

6 

12.0 

56 

.57 

27 

12.0 

85     3 

•53 

9 

10.3 

82 

41 

15.0 

85  24 

.57 

II 

15.0 

85  30 

.55 

42 

15.0 

35 

•55 

8 

9.2 

83 

45 

15.0 

0.  58 

.s? 

15 

15.0 

86     3 

•57 

46 

15.0 

S6     8 

•55 

7 

8.0 

84 

49 

20.0 

86  32 

•  -57 

19 

20.0 

27 

•57 

50 

20.0 

41 

•55 

6 

6.9 

85 

52 

20.0 

87     7 

0.58 

22 

20.0 

87  II 

O.S5 

53 

30.0 

87   14 

^•55 

5 

5-7 

86 

55 

30.0 

42 

.57 

25 

30.0 

44 

•57 

55 

30.0 

47 

•55 

4 

4.6 

87 

57 

30.0 

88  16 

.58 

27 

30.0 

88   18 

•57 

57 

30.0 

88  20 

•55 

3 

3-4 

88 

59 

60.0 

51 

.57 

29 

60.0 

52 

•57 

59 

60.0 

53 

•  57 

2 

2-3 

89 

30     0 

— 

89  25 

.58 

30 

— 

89  26 

.57 

29     0 

— 

89  27 

•55 

I 

I.I 

90 

0 

90     0 

30 

90     0 

0 

90     0 

0 

0.0 

a 

60' 

b 

A 

a 

60' 

b 

A 

a 

'y~\  h 

A 

a 

t 

"a" 

6c/ 

A 

60' 

^  1 

60' 

d  =  60°0' 

^  =  60°  30' 

d  =  6i°0' 

Page  284] 

0 

.543 

0.532 

0.521 

\ 

a  =  61°  30' 

a  =  62° 

0' 

a  =  62°  30' 

V 

\  * 

\  rf 

60' 

\  ^ 

6_ 

\cf 

60' 

\ 

,  t 

A 

\  d 

60' 

\ 

t 

A 

\ 

A 

A  \ 

A 

Z\ 

60' 

A  \ 

A 

z 

\ 

6c/ 

h\ 

A 

z 

\ 

60' 

^\ 

^\ 

o 

0     / 

^°      ' 

0     / 

0 

/ 

0    / 

0 

/ 

^ 

0 

O 

0    0 

2.07 

61    30 

0.00 

0    0 

2.14 

62 

0 

0.00 

0    0 

2.14 

62 

30 

0.00 

90 

90.0 

1 

29 

2.14 

30 

.02 

28 

2.14 

0 

.02 

28 

2.22 

30 

.02 

89 

89.1 

2 

57 

2.07 

31 

.02 

56 

2.07 

I 

.02 

55 

2.14 

31 

.02 

88 

88.2 

3 

I   26 

2.14 

32 

.02 

I  25 

2.14 

2 

•02 

I  23 

2.14 

32 

.02 

87 

ll"^ 

4 

54 

2.07 

33 

•03 

53 

2.14 

3 

•03 

51 

2.22 

33 

•03 

86 

86.5 

5 

2  23 

2.07 

35 

0.05 

2  21 

2.14 

5 

0.05 

2  18 

2.14 

35 

0.05 

85 

85.6 

6 

52 

2.14 

38 

•05 

49 

2.14 

8 

.05 

46 

2.14 

38 

.05 

84 

84.7 

7 

3  20 

2.07 

41 

.05 

3   17 

2.14 

11 

•OS 

3  14 

2.22 

41 

•05 

^3 

83.8 

8 

49 

2.14 

44 

.07 

45 

2.14 

14 

.07 

41 

2.14 

44 

.05 

82 

82.9 

9 

4   17 

2.14 

48 

.07 

4  13 

2.14 

18 

.07 

4     9 

2.22 

47 

.07 

81 

82.0 

10 

45 

2.14 

52 

0.08 

41 

2.22 

22 

0.07 

36 

2.22 

51 

0.08 

80 

81.2 

II 

5   13 

2.14 

57 

.08 

5     8 

2.14 

26 

.08 

5     2 

2.14 

56 

.08 

79 

80.3 

12 

41 

2.14 

62     2 

.08 

36 

2.14 

31 

.10 

31 

2.22 

63 

I 

.08 

78 

79-4 

13 

6     9 

2.14 

7 

.10 

6    4 

2.22 

Z7 

.10 

58 

2.22 

6 

.10 

77 

78.5 

14 

37 

2.14 

13 

.10 

31 

2.14 

43 

.10 

6  25 

2.22 

12 

.10 

76 

77.6 

15 

7     5 

2.14 

19 

0.12 

59 

2.22 

49 

0.12 

52 

3.22 

18 

0.12 

75 

76.7 

i6 

33 

2.14 

26 

.12 

7  26 

2.22 

56 

.12 

7  19 

2.22 

25 

.12 

74 

75-8 

17 

8     I 

2.14 

33 

.13 

n     53 

2.22 

ez 

3 

•13 

46 

2.31 

32 

•  13 

73 

74-9 

i8 

29 

2.22 

41 

.13 

8  20 

2.22 

II 

.13 

8  12 

2.21 

40 

.13 

72 

74.0 

19 

56 

2.14 

49 

•'5 

47 

2.22 

19 

•13 

39 

2.31 

48 

•13 

71 

73^i 

20 

9  24 

2.22 

58 

0.15 

9  M 

2.22 

27 

0.15 

9     5 

J.3I 

56 

o.is 

70 

72.2 

21 

51 

2.22 

63     7 

.«7 

41 

2.22 

36 

•15 

31 

2.31 

64 

5 

•'5 

69 

71-3 

22 

10  18 

2.22 

17 

.17 

10     8 

2.31 

45 

.17 

57 

2.31 

14 

.17 

68 

70.4 

23 

45 

2.22 

27 

•17 

34 

2.31 

55 

.17 

10  23 

2.31 

24 

.17 

^I 

^2-5 

24 

II   12 

2-31 

37 

.18 

II     0 

2.31 

64 

5 

.18 

49 

2.31 

34 

.18 

66 

68.5 

25 

38 

2.31 

48 

0.18 

26 

2.31 

16 

0.18 

II   15 

2.31 

45 

0.18 

^5 

67.6 

26 

12     4 

2.31 

59 

.20 

52 

2-3' 

27 

.20 

41 

2.40 

56 

.18 

64 

66.7 

27 

30 

2-31 

64  II 

.20 

12  18 

2.31 

39 

.20 

12     6 

2.40 

65 

7 

.20 

63 

65.8 

28 

56 

2.31 

23 

.22 

44 

2.40 

51 

.22 

31 

2.40 

19 

.20 

62 

64.9 

29 

13  22 

2.31 

36 

.22 

13     9 

2.40 

65 

4 

.22 

56 

2.40 

31 

.22 

61 

639 

30 

48 

2.31 

49 

0.23 

34 

2.40 

17 

0.22 

13  21 

2.40 

44 

0.22 

60 

63.0 

31 

14  14 

2.40 

65      3 

.23 

59 

2.40 

30 

•23 

46 

2.50 

57 

•23 

5§ 

62.1 

32 

39 

2.40 

17 

.23 

14  24 

2.40 

44 

.23 

14  10 

2.50 

66 

1 1 

•23 

58 

61.1 

33 

IS     4 

2.40 

31 

.25 

49 

2.50 

58 

•25 

34 

2.50 

25 

•23 

5? 

60.2 

34 

29 

2.50 

46 

.25 

15   13 

2.50 

66 

13 

•25 

58 

2.50 

39 

•25 

56 

59-2 

35 

.  53 

2.50 

66     I 

0.27 

.  37 

2.50 

28 

0.27 

15  22 

2.61 

54 

0.27 

55 

58^3 

36 

16  17 

2.50 

17 

.27 

16     I 

2.50 

44 

•27 

45 

2.61 

67 

10 

•27 

54 

57-3 

37 

41 

2.50 

33 

.28 

25 

2.61 

67 

0 

•  27 

16     8 

2.61 

26 

.27 

53 

56-4 

38 

17     5 

2.50 

50 

.28 

48 

2.61 

16 

.28 

31 

2.61 

42 

.28 

5^ 

55-4 

39 

29 

2.61 

67     7 

.30 

17  II 

2.61 

32 

.28 

54 

2.73 

59 

.28 

51 

54-4 

40 

0  52 

2.61 

25 

0.30 

34 

2.73 

50 

0.30 

17   16 

2.73 

68 

16 

0.28 

50 

535 

41 

18  15 

2.73 

.     43 

.32 

0   56 

2-73 

68 

8 

•30 

38 

2-73 

33 

.3c 

49 

525 

42 

37 

2-73 

68     2 

•32 

18   18 

2.73 

26 

•32 

18     0 

2.86 

51 

•30 

48 

51S 

43 

59 

2.73 

21 

•32 

40 

2-73 

45 

•32 

21 

2.86 

69 

9 

•  32 

"^l 

50.5 

44 

19  21 

2.73 

40 

.33 

19     2 

2.86 

69 

4 

•33 

42 

2.86 

28 

.32 

46 

49-5 

45 

43 

69     0 

23 

24 

19     3 

47 

45 

48.6 

a 

60' 

h 

A 

a 

60' 

I 

A 

a 

60' 

b 

A 

a 

f 

A 

6& 

A 

60' 

A 

60' 

£^  =  61°  30' 

(i  =  62°( 

y 

d  =  62"30' 

0.543 


0.532 


0.521 


[Page  285 


\  6 

a  =61°  30' 

a=62°0' 

a  =  62°  30' 

\1 

\  * 

\<^ 

6c/ 

\  t 

A 

\    d    60' 

\  t 

A 

\  d 

60' 

\ 

t      ' 

\ 

\ 

b\ 

A  \ 

A 

Z\ 

60' 

h      N^      A 

Z\ 

6c/ 

^     \ 

A 

Z^ 

\^ 

/ 

A 

P\ 

o 

0     / 

0    1 

0      / 

0      / 

0     / 

0 

/ 

0 

0 

45 

19  43 

2.86 

69    0 

0.33 

19  23 

2.86 

69  24 

0.33 

19     3 

2.86 

69 

47    0 

33 

45 

48.6 

46 

20     4 

2.86 

20 

.35 

44 

2.86 

44 

.33 

24 

3.00 

70 

7     . 

33 

44 

47.6 

47 

25 

2.86 

41 

•35 

20     5 

3.00 

70     4 

•35 

44 

3.00 

27 

35 

43 

46.6 

48 

46 

3.00 

70    2 

•37 

25 

3.00 

25 

.35 

20     4 

3.00 

48     . 

35 

42 

45.6 

49 

21       6 

3.00 

24 

•37 

45 

3.00 

46 

.37 

24 

3.16 

71 

9 

35 

41 

44.6 

SO 

26 

3.00 

46 

0.37 

21      5 

3.. 6 

71     8 

0.37 

43 

3.16 

30   0 

37 

40 

43.5 

51 

46 

3.16 

71     8 

•38 

24 

3.16 

30 

.37 

21     2 

3-33 

52 

37 

39 

42.5 

52 

22       5 

3.16 

31 

.38 

43 

3^33 

52 

.38 

20 

3-33 

72 

14 

37 

3« 

41.5 

53 

24 

3.16 

54 

.40 

22     I 

3^33 

72  15 

.40 

38 

3-33 

36 

38 

37 

40.5 

54 

43 

3-33 

72  18 

.40 

19 

3-33 

39 

.38 

56 

3-53 

59 

38 

36 

395 

55 

23     I 

3-53 

42 

0.42 

37 

3^53 

71     2 

0.40 

22  13 

3-53 

71 

22   0 

40 

35 

38.4 

56 

18 

3-53 

71     7 

•  42 

54 

3^53 

26 

.42 

30 

3-53 

46 

40 

34 

37-4 

57 
58 

35 

3.53 

32 

•42 

23  II 

3^53 

51 

.42 

47 

3.75 

74 

10 

42 

33 

36.3 

H 

3.75 

57 

.43 

28 

3-75 

74  16 

.42 

23     3 

3-75 

35 

42 

32 

35-3 

59 

24     8 

3-75 

74  23 

.43 

44 

4.00 

41 

.43 

19 

4.00 

75 

0 

42 

31 

34.2 

60 

24 

3-75 

49 

0.43 

59 

4.00 

75     7 

0.43 

34 

4.00 

25    0 

42 

30 

33-2 

61 
62 

64 

40 

4.00 

75   15 

.45 

24  14 

4.00 

2,i 

•43 

49 

4,00 

50 

43 

29 

32.1 

55 

4.00 

42 

•45 

29 

4.00 

59 

•45 

24     4 

4.29 

76 

16 

43 

28 

31.0 

25   10 

4.29 

76     9 

•47 

44 

4.29 

76  26 

.45 

18 

4.62 

42 

45 

27 

30.0 

24 

4.29 

n 

•47 

58 

4.62 

53 

.45 

31 

4.62 

77 

9 

45 

26 

28.9 

65 

38 

4.62 

77    5 

0.47 

25   II 

4.62 

77  20 

0.47 

44 

4.62 

36   0 

45 

25 

27.8 

66 

51 

5.00 

0  ^^ 

•47 

24 

5.00 

48 

.47 

57 

5.00 

78 

3 

45 

24 

26.8 

67 

26     3 

5.00 

78    I 

•48 

3f 

5.00 

78  16 

.47 

25     9 

5.00 

30 

47 

23 

25.7 

68 

15 

5.00 

30 

.48 

48 

5.00 

44 

.48 

21 

5-45 

58 

47 

22 

24.6 

69 

27 

5-45 

59 

.50 

26     0 

5^45 

79  13 

.48 

32 

5-45 

79 

26 

47 

21 

23-S 

70 

38 

5-45 

79  29 

0.50 

II 

6.00 

42 

0.48 

43 

6.00 

54   0 

48 

20 

22.4 

71 

49 

6.00 

59 

•50 

21 

6.00 

80  II 

.48 

53 

6.00 

So 

23 

48 

19 

21.3 

72 

59 

6.00 

80  29 

•50 

31 

6.00 

40 

•50 

2^      3 

6.67 

52 

48 

18 

20.2 

73 

27     9 

6.67 

59 

.50 

41 

6.67 

Si    10 

.50 

12 

6.67 

81 

21 

48 

'I 

19. 1 

74 

18 

6.67 

81  29 

.52 

50 

7.50 

40 

.50 

21 

7.50 

50 

5° 

16 

18.0 

75 

27 

7.50 

82   0 

0.52 

5f 

/•SO 

82  10 

0.50 

29 

7.50 

82 

20  0 

48 

15 

16.9 

76 

35 

8.57 

0    31 

.52 

27     6 

8.57 

40 

.52 

17 

8.57 

49 

•50 

14 

15-8 

77 

42 

8.57 

83    2 

.52 

13 

8.57 

83   II 

.50 

44 

S.57 

83 

19 

,50 

13 

14.7 

78 

49 

8.57 

0     33 

•  53 

20 

lO.O 

41 

.52 

51 

lO.O 

49 

.52 

12 

13-5 

79 

56 

lO.O 

84     5 

•53 

26 

lO.O 

84  12 

.52 

57 

lO.O 

84 

20 

50 

II 

12.4 

80 

28     2 

12.0 

0     37 

0-53 

32 

12.0 

43 

0.53 

27     3 

12.0 

50   0 

52 

10 

"•3 

81 

7 

12.0 

85     9 

•S3 

Z7 

12.0 

85   15 

.52 

12.0 

85 

21 

.50 

9 

10.2 

82 

12 

15.0 

41 

•S3 

42 

15.0 

46 

•S3 

13 

15.0 

51 

52 

8 

9.0 

P 

16 

15.0 

86  13 

.53 

46 

15.0 

86  18 

•52 

17 

20,0 

86 

22 

52 

7 

7-9 

84 

20 

20.0 

45 

•53 

50 

20.0 

49 

•53 

20 

20.0 

53 

52 

6 

6.8 

85 

23 

30.0 

87  17 

0.55 

53 

20.0 

87  21 

0.52 

23 

20.0 

87 

24   0 

•52 

5 

S7 

86 

25 

30.0 

0  50 

•53 

56 

30.0 

52 

•53 

26 

30.0 

55 

•52 

4 

4^5 

87 

27 

30.0 

88  22 

•55 

58 

60.0 

88  24 

•53 

28 

60.0 

88 

26 

.53 

3 

3-4 

88 

29 

60.0 

0     55 

•53 

59 

60.0 

56 

•53 

29 

60.0 

58 

52 

2 

23 

89 

30 

— 

89  27 

.55 

28     0 

— 

89  28 

•  53 

30 

— 

89 

29 

52 

I 

I.I 

90 

30 

90    0 

0 

90     0 

30 

90 

0 

0 

0.0 

a 

6(y 

6 

A 

a 

6(y 

6 

A 

a 

6c/ 

/ 

b       . 

A 

a 

t 

A 

M 

A 

6(y 

A 

6 

ry 

_ 

d=ei°zo' 

(i  =  62°0' 

rf  =  62°30' 

Page 

286] 

c 

.510 

0. 

499 

a/ 

188 

\b 

a  =  63°0' 

a  =  63°  30' 

a  =  64°0' 

V 

V 

\^ 

60'  |\    ^ 

A 

\  d   60' 

\ 

t 

A 

\ 

(/ 

60' 

\'     — 

«\ 

b\ 

A  \ 

A 

z\ 

60' 

A\     A 

^ 

\ 

60' 

h 

\ 

A 

^    \^   60' 

^\ 

A 

o 

0     / 

^°     ' 

0     / 

0 

/ 

0 

/ 

0      / 

p 

0 

0 

0    0 

2.22 

63    0 

0.00 

0    0 

2.22 

63 

30 

0.00 

0 

0 

2.31 

64     0 

0.00 

90 

90.0 

I 

27 

2.22 

0 

.02 

27 

2.22 

30 

.02 

26 

2.22 

0 

.02 

89 

89.1 

2 

54 

2.14 

I 

.02 

54 

2.31 

31 

.02 

53 

2.31 

I 

.02 

88 

88.2 

3 

I   22 

2.22 

2 

.02 

I   20 

2.22 

32 

.02 

I 

19 

2.31 

2 

.02 

87 

87.3 

4 

49 

2.22 

3 

.03 

47 

2.22 

33 

•03 

45 

2.31 

3 

•03 

86 

86.4 

S 

2   16 

2.22 

5 

0.03 

2   14 

2.31 

35 

0.03 

2 

II 

2.22 

5 

0.03 

85 

85-5 

6 

43 

2.22 

7 

.05 

40 

2.22 

37 

•05 

38 

2.31 

7 

.05 

^ 

84.6 

7 

3   10 

2.22 

10 

.05 

3     7 

2.22 

40 

.05 

3 

4 

2.31 

10 

.05 

83 

83-7 

8 

37 

2.22 

13 

.07 

34 

2.31 

43 

.07 

30 

2.31 

13 

.07 

82 

82.8 

9 

4     4 

2.22 

17 

.07 

4     0 

2.22 

47 

.07 

56 

2.31 

17 

.07 

81 

81.9 

10 

31 

2.22 

21 

0.08 

27 

2.31 

51 

0.07 

4 

22 

2.31 

21 

0.07 

80 

81.0 

II 

58 

2.22 

26 

.08 

53 

2.22 

55 

.08 

48 

2.31 

25 

.oS 

79 

80.1 

12 

5  25 

2.22 

^l 

.08 

S   20 

2.31 

64 

0 

.08 

5 

14 

2.31 

30 

.08 

78 

79.2 

13 

52 

2.31 

^6 

.10 

46 

2.31 

5 

.10 

40 

2.40 

35 

.08 

77 

78.3 

14 

6  18 

2.22 

42 

.10 

6  12 

2.31 

II 

.10 

6 

5 

2.31 

40 

.10 

76 

77-4 

15 

45 

2-3> 

48 

0. 10 

38 

2.31 

17 

0.12 

31 

2.40 

46 

0.12 

75 

76-5 

i6 

7  II 

2.22 

.     54 

.12 

7     4 

2.31 

24 

.12 

56 

2.31 

53 

.12 

74 

75-6 

17 

0  38 

2.31 

64     I 

•13 

30 

2.31 

31 

.12 

7 

22 

2.40 

65     0 

.12 

73 

74-7 

i8 

8     4 

2-31 

9 

•13 

0   56 

2.40 

38 

•13 

47 

2.40 

7 

.13 

72 

73-8 

19 

30 

2.31 

17 

.13 

8  21 

2.31 

46 

.13 

8 

12 

2.40 

15 

•13 

71 

72.9 

20 

56 

2.31 

25 

0.15 

47 

2.40 

54 

0.13 

37 

2.40 

23 

0.13 

70 

72.0 

21 

9  22 

2.31 

34 

•IS 

9  12 

2.40 

65 

2 

•15 

9 

2 

2.40 

31 

•15 

69 

71.0 

22 

48 

2.40 

43 

•>5 

37 

2.40 

II 

•17 

27 

2.40 

40 

•15 

68 

70.1 

23 

10  13 

2.31 

.     52 

•17 

10     2 

2.40 

21 

•17 

52 

2.50 

49 

.17 

67 

69.2 

24 

39 

2.40 

65     2 

.18 

27 

2.40 

31 

•17 

10 

16 

2.40 

59 

•17 

66 

68.3 

''I 

II     4 

2.40 

13 

0,18 

52 

2.40 

41 

0.18 

41 

2.50 

66     9 

0.18 

65 

67-3 

26 

29 

2.40 

24 

.18 

II    17 

2.50 

52 

.18 

1 1 

5 

2.50 

20 

.18 

64 

66.4 

27 

54 

2.40 

35 

.20 

41 

2.50 

66 

3 

.18 

29 

2.50 

31 

.18 

63 

655 

28 

12   19 

2.50 

47 

,20 

12     5 

2.50 

14 

.20 

53 

2.61 

42 

.20 

62 

64.6 

29 

43 

2.50 

59 

.20 

29 

2.50 

26 

.22 

12 

16 

2.50 

54 

.20 

61 

63.6 

30 

13     7 

2.50 

66  II 

0.22 

53 

2.50 

39 

0.22 

40 

2.61 

67     6 

0.22 

60 

62.7 

^I 

31 

2.50 

24 

•23 

13  17 

2.50 

52 

.22 

13 

3 

2.61 

19 

.22 

^2 

61.7 

h 

55 

2.50 

38 

•23 

41 

2.61 

67 

5 

•23 

26 

2.61 

32 

.22 

58 

60.8 

33 

14  19 

2.50 

52 

.23 

14    4 

2.61 

19 

•23 

49 

2.61 

.     45 

•23 

37 

59-8 

34 

43 

2.61 

67     6 

.25 

27 

2.61 

33 

.23 

14 

12 

2.73 

59 

.23 

56 

58-9 

35 

15     6 

2.61 

21 

0.25 

50 

2.73 

47 

0.25 

34 

2-73 

68  13 

0.2s 

55 

57.9 

36 

29 

2.61 

36 

.25 

I  5  12 

2-73 

68 

2 

•25 

56 

2.73 

28 

.25 

54 

570 

37 

.  ^^ 

2-73 

..  51 

.27 

34 

2.73 

17 

.27 

15 

18 

2.73 

43 

•27 

53 

56.0 

38 

16  14 

2-73 

68     7 

.28 

56 

2.73 

33 

•27 

40 

2.86 

59 

.27 

52 

550 

39 

36 

2.73 

24 

.28 

16  18 

2-73 

49 

.28 

16 

I 

2.86 

69  15 

•27 

51 

54-1 

40 

58 

2.73 

41 

0.28 

40 

2.86 

69 

6 

0.28 

22 

2.86 

31 

0.28 

50 

53.1 

41 

17  20 

2.86 

58 

.30 

17     I 

2.86 

23 

.28 

43 

2.86 

48 

.28 

^2 

52.1 

42 

41 

2.86 

69  16 

•30 

22 

2.86 

40 

.30 

17 

4 

3.00 

70     5 

.28 

48 

5I-I 

43 

18     2 

2.86 

34 

.30 

43 

3.00 

58 

•30 

24 

3.00 

22 

•30 

47 

50.2 

44 

23 

2.86 

52 

•32 

18     3 

3.00 

70 

16 

.32 

44 

3.00 

40 

.30 

46 

49.2 

45 

44 

70  II 

23 

35 

18 

4 

58 

45 

48.2 

a 

60' 

b 

_A 

a 

60' 

b 

A 

a 

60' 

b 

A 

a 

/ 

T 

60' 

A 

6<y 

A 

60' 

a'-63°0' 

d  =  6S°30' 

(^  =  64°  0' 

0.510 


0-499 


a4S3 


[Page  287 


\ 

a  =  63^0' 

a  =  63°  30' 

a  =  64° 

0' 

K 

\  ** 

\  d 

6(y 

\*  '  - 

A 

"^K  d 

Gc/ 

\ 

t 

A 

X  d 

60' 

\ 

t 

A 

\ 

b\ 

h\ 

A 

Z\^  60' 

*\ 

A 

Z 

\ 

60' 

k\ 

A 

z 

\ 

60' 

^'\ 

P\ 

o 

0     / 

0      / 

J?    ' 

0 

/ 

0    / 

0 

/ 

^ 

0 

45 

18  44 

3.00 

70  II   0 

32 

18  23 

3.00 

70 

35 

0.32 

18    4 

3.16 

70 

58 

0.32 

45 

48.2 

46 

19    4 

3.00 

30 

33 

43 

3.00 

54 

•32 

23 

3.16 

71 

17 

•32 

44 

47.2 

H 

24 

3.16 

50 

33 

19     3 

3.16 

71 

13 

•33 

42 

3.16 

36 

•32 

43 

46.2 

48 

43 

3.16 

71   10 

35 

22 

3.. 6 

33 

•33 

19    I 

3.33 

55 

•33 

42 

45-2 

49 

20     2 

3.16 

31 

•35 

41 

3-33 

53 

•35 

19 

3-33 

72 

15 

•35 

41 

44.2 

50 

21 

3.16 

52  0 

35 

59 

3.33 

72 

14 

0.3s 

37 

3-33 

36 

0-33 

40 

43-2 

51 

40 

3-33 

72  13 

37 

20  17 

3-33 

35 

•  35 

55 

3-53 

56 

•35 

39 

42.1 

52 

5^ 

3-33 

35 

37 

35 

3-53 

56 

•37 

20  12 

3-53 

73 

17 

•35 

38 

41. 1 

53 

21    16 

3-53 

57 

38 

52 

3-53 

73 

18 

•37 

29 

3-53 

38 

•37 

37 

40.1 

54 

33 

3-53 

73  20 

38 

21     9 

3-53 

40 

•37 

46 

3.53 

74 

0 

•37 

36 

39-1 

55 

50 

3-53 

43   0 

38 

26 

3.75 

74 

2 

0.38 

21     3 

3-75 

22 

0.38 

35 

38.0 

so 

22     7 

3-75 

74     6 

40 

42 

3.75 

25 

•  38 

19 

4.00 

45 

•37 

34 

37-0 

57 

23 

3.75 

30 

40 

58 

3-75 

48 

.40 

34 

4.00 

75 

7 

.38 

33 

36.0 

58 

39 

4.00 

54 

40 

22  14 

4.00 

75 

12 

.40 

49 

4.00 

30 

.40 

32 

34-9 

59 

54 

4.00 

75   18 

40 

29 

4.00 

36 

.40 

22     4 

4.00 

54 

.40 

31 

33-9 

60 

23     9 

4.00 

42   0 

42 

44 

4.29 

76 

0 

0.42 

19 

4.29 

76 

18 

0.40 

30 

32^8 

61 

24 

4.29 

76     7 

43 

58 

4.29 

25 

.42 

33 

4.62 

42 

.40 

29 

31.8 

62 

38 

4.29 

33 

43 

?3   12 

4.29 

50 

.42 

46 

4.62 

77 

6 

•  42 

28 

30^7 

f3 

52 

4.62 

59 

43 

26 

4.62 

77 

15 

.42 

59 

4.62 

31 

•42 

27 

29.7 

64 

24     5 

4,62 

77  25 

43 

39 

5.00 

40 

•43 

23  12 

5.00 

56 

•42 

26 

28.6 

65 

18 

5.00 

0  ^l    ° 

45 

51 

5.00 

78 

6 

0.43 

24 

5.00 

78 

21 

0.43 

25 

27-5 

66 

30 

5.00 

78  18 

45 

24     3 

5.00 

32 

.43 

36 

5.00 

47 

•43 

24 

26.5 

67 

42 

5.00 

45 

45 

15 

5-45 

58 

•45 

48 

5-45 

79 

13 

•43 

23 

25-4 

68 

54 

5-45 

79  12 

45 

26 

5-45 

79 

25 

•45 

59 

5-45 

39 

•43 

22 

243 

69 

25     5 

6.00 

39 

47 

37 

6.00 

52 

•45 

24  10 

6.00 

80 

5 

•45 

21 

23.2 

70 

^      15 

6.00 

80     7   0 

47 

47 

6.00 

80 

19 

0.47 

20 

6.67 

32 

0.45 

20 

22.1 

71 

25 

6.00 

35 

47 

57 

6.00 

47 

•47 

29 

6.67 

59 

•45 

iq 

21.0 

72 

35 

6.67 

81     3 

48 

25     7 

6.67 

81 

15 

•47 

38 

6.67 

81 

26 

•45 

18 

20.0 

73 

44 

6.67 

0     32 

47 

16 

7.50 

43 

■47 

47 

7.50 

53 

.45 

17 

18.9 

74 

53 

7.50 

82     0 

48 

24 

7.50 

82 

II 

•47 

55 

7.50 

82 

20 

•47 

16 

17.8 

75 

26     I 

8.57 

29  0 

48 

32 

8.57 

39 

0.47 

25     3 

8.57 

48 

0.47 

15 

16.7 

76 

8 

8-57 

0     58 

50 

39 

8.57 

83 

7 

.48 

10 

8.57 

S3 

16 

•47 

14 

15.6 

77 

15 

8.57 

83  28 

48 

46 

8.57 

36 

.48 

17 

1 0.0 

44 

.48 

13 

14-5 

78 

22 

lO.O 

57 

50 

53 

lO.O 

84 

5 

.48 

23 

1 0.0 

84 

13 

•47 

12 

13-4 

79 

28 

12,0 

84  27 

50 

59 

12.0 

34 

.48 

29 

12.0 

41 

•47 

II 

12.3 

80 

33 

12.0 

57   ° 

50 

26     4 

12.0 

85 

3 

0.48 

34 

12.0 

85 

9 

0.48 

10 

II. I 

81 

38 

12.0 

85  27 

50 

9 

15.0 

32 

.50 

39 

15.0 

38 

.48 

Q 

10. 0 

82 

43 

15.0 

.  57 

50 

13 

15.0 

86 

2 

•48 

43 

15.0 

86 

7 

.48 

8 

89 

83 

47 

20.0 

86  27 

5° 

17 

15.0 

31 

.50 

47 

15.0 

36 

.48 

7 

7.8 

84 

50 

20.0 

57 

50 

21 

20.0 

87 

I 

.50 

51 

20.0 

^7 

5 

•  48 

6 

6.7 

85 

53 

20.0 

87  27   0 

52 

24 

30.0 

31 

0.48 

54 

30.0 

34 

0.48 

5 

5-6 

86 

56 

30.0 

58 

50 

26 

30.0 

88 

0 

•5° 

56 

30.0 

88 

3 

.48 

4 

4-5 

87 

58 

60.0 

88  28 

52 

28 

60.0 

30 

•50 

58 

60.0 

32 

.48 

3 

3-4 

88 

59 

60.0 

0     59 

50 

29 

60.0 

89 

0 

•5° 

.  59 

60.0 

89 

I 

.50 

2 

2.2 

89 

27     0 

— 

89  29 

52 

30 

— 

30 

.50 

26     0 

— 

31 

.48 

I 

I.I 

90 

0 

90     0 

30 

90 

0 

0 

90 

0 

0 

0.0 

a 

60' 

b        - 

A 

a 

ec/ 

b 

_A_ 

a 

(& 

b 

_A 

a 

t 

A 

e 

0' 

A 

6(y 

A 

6c/ 

d  =  63°0' 

d  =  63°30' 

c?  =  64° 

3' 

Page  288]         0.477 


0.466 


0.4SC 


\ 

a  =  64°30' 

a  =  65°0' 

0  =  65°  30' 

V 

\  * 

\  d 

60' 

\  t 

A 

\  d 

6fy 

\  t 

_A_ 

\  d 

ec/ 

X  t 

A 

\ 

^\ 

h\ 

A 

z\ 

60' 

h\ 

A 

z\ 

60' 

h\ 

A 

Z\ 

60' 

c\ 

P\ 

0 

0     / 

^0      * 

0     / 

,0      ' 

0     / 

0     / 

^ 

0 

0 

0    0 

2.31 

64  30 

0.00 

0    0 

2.40 

65    0 

0.00 

0    0 

2.40 

65  30 

0.00 

90 

90.0 

I 

26 

2.31 

30 

.02 

25 

2.31 

0 

.02 

25 

2.40 

30 

.02 

89 

89.1 

2 

^l 

2-31 

31 

.02 

SI 

2.40 

I 

.02 

50 

2.40 

31 

.02 

88 

88.2 

3 

I  18 

2.40 

32 

.02 

I   16 

2.40 

2 

.02 

I  15 

2.50 

32 

.02 

^7 

87.3 

4 

43 

2.31 

3Z 

.03 

41 

2.31 

3 

.03 

39 

2.40 

33 

•03 

86 

86.4 

5 

2     9 

2.31 

35 

0.03 

2    7 

2.40 

5 

0.03 

2     4 

2.40 

35 

0.03 

!5 

IH 

() 

35 

2.40 

37 

•05 

32 

2.40 

7 

.05 

29 

2.40 

37 

.05 

^J 

84.6 

7 

3     0 

2.31 

40 

.05 

57 

2.40 

10 

.05 

54 

2.40 

40 

.05 

^3 

83.7 

8 

26 

2.31 

4J 

.05 

3  22 

2.40 

13 

.05 

3   19 

2.50 

43 

.05 

82 

82.7 

9 

52 

2.40 

46 

.07 

47 

2.40 

16 

.07 

43 

2.40 

46 

.07 

81 

81.8 

10 

4  17 

2.31 

50 

0.07 

4  12 

2.40 

20 

0,07 

4     8 

2.50 

50 

0.07 

80 

80.9 

1 1 

43 

2.40 

54 

.08 

37 

2.40 

24 

.08 

32 

2.40 

54 

.07 

79 

80.0 

12 

5     8 

2.40 

.     59 

.08 

S     2 

2.40 

29 

.08 

57 

2.50 

58 

.08 

78 

79.1 

13 

33 

2.31 

6s     4 

.10 

27 

2.40 

34 

.08 

5  21 

2.50 

66     3 

.10 

77 

78.2 

14 

59 

2.40 

10 

.10 

52 

2,40 

39 

.10 

45 

2.40 

9 

.10 

76 

77.3 

IS 

6  24 

2.40 

16 

0. 10 

6  17 

2.50 

45 

0. 10 

6  10 

2.50 

15 

0. 10 

75 

76.4 

16 

49 

2.40 

22 

.12 

41 

2.40 

51 

.12 

^i 

2.50 

21 

.10 

74 

75-4 

17 

7  14 

2.40 

29 

.12 

7     6 

2.50 

..  58 

.12 

58 

2.50 

27 

.12 

73 

74-5 

18 

0  ^9 

2.40 

i^ 

•'3 

30 

2.50 

66     5 

.12 

7  22 

2.50 

34 

.12 

72 

73-6 

19 

8     4 

2.50 

44 

.13 

54 

2.50 

12 

•13 

46 

2.61 

41 

.'3 

71 

72.7 

20 

28 

2.40 

..  52 

0.13 

8   18 

2.50 

20 

0.13 

8     9 

2.50 

49 

0.13 

70 

71.7 

21 

53 

2.50 

66     0 

•>S 

42 

2.50 

28 

•'5 

33 

2.61 

57 

••5 

69 

70.8 

22 

9  17 

2.50 

9 

•'S 

9     6 

2.50 

Z7 

•IS 

56 

2.61 

67     6 

•'5 

68 

69.9 

23 

41 

2.50 

18 

•'5 

30 

2.50 

46 

•17 

9  19 

2.61 

15 

•15 

P. 

69.0 

24 

10    5 

2.50 

27 

•17 

54 

2.61 

56 

•17 

42 

2.61 

24 

•17 

66 

68.0 

25 

29 

2.50 

37 

0.18 

10  17 

2.50 

67     6 

0.17 

10     5 

2.61 

34 

0.17 

65 

67.1 

26 

53 

2.50 

48 

.18 

41 

2.61 

16 

•17 

28 

2.61 

44 

.17 

64 

66.2 

27 

II   17 

2.61 

59 

.18 

II     4 

2.61 

26 

.18 

SI 

2.61 

54 

.18 

63 

65.2 

28 

40 

2.61 

67  10 

.18 

27 

2.61 

37 

.20 

II   14 

2.73 

68     5 

.18 

62 

64-3 

29 

12     3 

2.61 

21 

.20 

50 

2-73 

49 

.20 

36 

2-73 

16 

.20 

61 

633 

30 

26 

2.61 

33 

0.22 

12  12 

2.73 

68     I 

0.20 

58 

2.73 

28 

0.20 

60 

62.4 

31 

49 

2-73 

46 

.22 

34 

2.73 

13 

.20 

12  20 

2-73 

40 

.20 

59 

61.4 

32 

13   II 

2.6l 

.     59 

.22 

56 

2.73 

25 

.22 

42 

2.86 

52 

.22 

58 

60.5 

33 

34 

2.73 

68  12 

•23 

13   18 

2.73 

38 

.23 

13     3 

2.86 

69     5 

.22 

5? 

59-5 

34 

56 

2.73 

26 

•23 

40 

2.73 

52 

•  23 

24 

2.86 

18 

•23 

56 

58.6 

35 

14  18 

2.73 

40 

0.23 

14     2 

2.86 

69     6 

0.23 

45 

2.86 

32 

0.23 

55 

57-6 

30 

40 

2.86 

.     54 

.25 

23 

2.86 

20 

.23 

14     6 

2.86 

46 

.23 

54 

56.6 

3^ 

15      I 

2.86 

69     9 

•25 

44 

2.86 

34 

.25 

27 

2.86 

70     0 

•25 

53 

55-7 

38 

22 

2.86 

24 

•27 

15     5 

2.86 

49 

.27 

48 

3.00 

15 

•25 

52 

54-7 

39 

43 

2.86 

40 

•27 

26 

3.00 

70     5 

•27 

15     8 

3.00 

30 

•25 

51 

53-7 

40 

16     4 

3.00 

56 

0.27 

.  4^ 

3.00 

21 

0,27 

28 

3.16 

45 

0.27 

50 

52-7 

41 

24 

3.00 

70  12 

.28 

16     6 

3.00 

37 

•27 

.  47 

3.16 

71      I 

•27 

42 

51.8 

42 

44 

3.00 

29 

.28 

26 

3.16 

53 

.28 

16     6 

3.16 

17 

.28 

48 

50.8 

43 

17     4 

3.00 

46 

.30 

45 

3.16 

71   10 

.28 

25 

3.16 

34 

.28 

4Z 

49.8 

44 

24 

3.. 6 

71      4 

.30 

17     4 

3.16 

27 

.30 

44 

3.16 

51 

.28 

46 

48.8 

45 

43 

22 

23 

45 

17     3 

72     8 

45 

47.8 

a 

60' 

6 

A 

a 

6c/ 1 

b 

A 

a 

6<y 

b 

A 

a 

t 

A 

tc 

A  ! 

60' 

A 

60' 

^  =  64°  30' 

d  =  65°0' 

d  =  65°30' 

0. 

477 

0.466 

0.456 

[ 

Pag 

e289 

} 

a  =64°  30' 

a  =  65°0' 

a  =  65°  30' 

I 

V 

60' 

A 

Z\ 

A 
60' 

60' 

A 

A 
60' 

6o_' 
A 

z\ 

A 
60' 

»\ 

o 

0     / 

0     1 

0     / 

0      / 

0     / 

°    << 

0 

»  0 

45 

17  43 

3.. 6 

71  22 

0.30 

17  23 

3.16 

71   45 

0.30 

17     3 

3-33 

72     8 

0.30 

45 

47.8 

40 

18     2 

3.16 

40 

•32 

42 

3-33 

72     3 

.30 

21 

3-33 

26 

.30 

44 

46.8 

47 

21 

3.16 

59 

•32 

18    0 

3-33 

21 

.32 

39 

3-33 

44 

•3° 

43 

45-8 

48 

40 

3-33 

72  18 

•32 

18 

3^33 

40 

.32 

0  57 

3.53 

71     2 

•32 

42 

44.8 

49 

58 

3-33 

37 

.33 

36 

3^53 

59 

•33 

18  14 

3-53 

21 

•32 

41 

43-8 

50 

19  16 

3.53 

57 

0.33 

53 

3^53 

73  19 

^•33 

^0 

3-53 

40 

^•33 

40 

42.8 

51 

33 

3-53 

71  17 

.35 

19  10 

3^53 

39 

•33 

48 

3-75 

74     0 

•33 

39 
38 

41.8 

52 

50 

3-53 

38 

•35 

27 

3-75 

59 

•33 

19     4 

3-75 

20 

•33 

40,8 

53 

20     7 

3-75 

59 

•  35 

43 

3-75 

74  19 

•35 

20 

3-75 

40 

.33 

37 

39-7 

54 

23 

3-75 

74  20 

•37 

59 

3^75 

40 

•35 

36 

3-75 

75     0 

•35 

36 

38^7 

55 

39 

3-75 

42 

0.37 

20  15 

4.00 

75     I 

^•37 

52 

4.00 

21 

^•35 

35 

37^7 

56 

55 

4.00 

75     4 

•37 

30 

4.00 

23 

•37 

20     7 

4.29 

42 

•37 

34 

36.7 

57 

21   10 

4.00 

26 

.38 

45 

4,00 

45 

•37 

21 

4.29 

76     4 

•37 

33 

35-6 

58 

25 

4.29 

49 

•38 

21     0 

4.29 

76     7 

•38 

35 

4.29 

26 

•37 

32 

34^6 

59 

39 

4.29 

76  12 

.38 

14 

4.29 

30 

.38 

49 

4.29 

48 

•37 

31 

33-5 

60 

53 

4.29 

35 

0.40 

28 

4.29 

53 

0.38 

21      3 

4.62 

77  10 

o^37 

30 

32^S 

61 

22     7 

4.62 

59 

.40 

42 

4.62 

77  16 

•38 

16 

4.62 

32 

.38 

29 
28 

31-5 

62 

20 

4.62 

77  23 

.40 

55 

5.00 

39 

.40 

29 

5.00 

„  55 

.40 

30^4 

63 

33 

4.62 

47 

.40 

22     7 

5.00 

78     3 

.40 

41 

5.00 

78  19 

•3S 

27 
26 

29^3 

64 

46 

5.00 

78  II 

.42 

19 

5.00 

27 

.40 

53 

5.00 

42 

.40 

28.3 

65 

58 

5.00 

36 

0.42 

31 

5.00 

51 

0.42 

22     5 

5^45 

79     6 

0.40 

25 

27.2 

66 

23  10 

5-45 

79     I 

.42 

43 

5-45 

79  16 

.42 

16 

5-45 

30 

.40 

24 

26.2 

67 

21 

5-45 

26 

•43 

54 

6.00 

41 

.42 

27 

6.00 

0     54 

.42 

23 

25.1 

68 

32 

6.00 

52 

•  43 

23     4 

6.00 

80     6 

.42 

17 

6.00 

80  19 

.42 

22 

24.0 

69 

42 

6.00 

80  18 

•43 

14 

6.00 

31 

.42 

47 

6.67 

44 

.42 

21 

23.0 

70 

52 

6.67 

44 

0-43 

24 

6.67 

56 

0-43 

56 

6.67 

81      9 

0.42 

20 

21.9 

71 

24     I 

6.67 

81    10 

•45 

33 

6.67 

81   22 

•43 

23     5 

6.67 

34 

•42 

19 
18 

20.8 

72 

10 

6.67 

37 

.45 

42 

7.50 

48 

•43 

14 

7.50 

59 

•43 

19.7 

73 

19 

7.50 

82     4 

•45 

50 

7.50 

82  14 

•43 

22 

7.50 

82  25 

•43 

\l 

18.6 
i7^6 

74 

27 

8.57 

31 

•45 

58 

7.50 

40 

•45 

30 

8.57 

51 

•43 

75 

34 

8.57 

58 

0.45 

24     6 

8^57 

83     7 

0.45 

17 

8.57 

83  17 

0.43 

15 

16.5 

7(3 

41 

8.57 

83  25 

•45 

13 

lO.O 

34 

•45 

44 

lO.O 

43 

•43 

14 

15-4 

77 

48 

1 0.0 

52 

•47 

19 

1 0.0 

84     I 

•45 

59 

lO.O 

84     9 

•43 

13 

14-3 

78 

54 

lO.O 

84  20 

•47 

25 

lO.O 

28 

•45 

56 

12.0 

35 

•45 

12 

13-2 

79 

25     0 

12.0 

48 

•47 

31 

12.0 

55 

•45 

24     I 

12.0 

85     2 

•45 

1 1 

12. 1 

80 

5 

12.0 

85  16 

0.47 

l(^ 

15.0 

85  22 

0.47 

6 

12.0 

29 

0-43 

10 

II.O 

81 

10 

15.0 

44 

•47 

40 

15.0 

50 

•45 

II 

15.0 

0.  55 

•45 

Q 
8 

9.9 

82 

14 

15.0 

86  12 

•47 

44 

15.0 

86  17 

•47 

15 

20.0 

86  22 

•45 

8.8 

83 

18 

20.0 

40 

.48 

48 

20.0 

45 

•45 

18 

20.0 

49 

•45 

I 

7^7 

84 

21 

20.0 

87     9 

•47 

51 

20.0 

87  12 

•47 

21 

20.0 

87   16 

•47 

6.6 

85 

24 

30.0 

37 

0.48 

54 

30,0 

40 

0.47 

24 

30.0 

44 

0.45 

S 

55 

86 

26 

30.0 

88     6 

•47 

56 

30.0 

88     8 

•47 

26 

30.0 

88  II 

•45 

4 

4.4 

87 

28 

60.0 

34 

.48 

58 

60.0 

36 

•47 

28 

60.0 

38 

•45 

3 

3-3 

S8 

29 

60.0 

89     3 

•47 

59 

60.0 

89     4 

•47 

29 

60.0 

89     5 

•47 

2 

I 

2.2 

89 

30 

— 

31 

•48 

25     0 

— 

32 

•47 

30 

— 

31 

•45 

I.I 

90 

30 

90     0 

0 

90     0 

30 

90     0 

0 

0.0 

a 

60' 

h 

A 

a 

60' 

6 

A 

a 

60' 

h 

A 

a 

t 

A 

6c/ 

A 

60' 

A 

60' 

^  =  64°  30' 

d  =  65°0' 

d  =  65°30' 

55901°— 18 19 


Page  290] 

0.445 

0.435 

0.424 

\b 

a  =  66°0' 

fl  =  66°30' 

a=67°0' 

V 

V 

\     d      6r/ 

\^ 

A 

\  d 

60'  \  t 

A 

\  d 

6& 

\* 

1  ^ 

A 

b\ 

^  \  T 

2   \ 

1                    N 

60' 

A  \ 

A       Z\ 

60' 

li\ 

A 

^\ 

1  60' 

^\ 

A 

o 

0    / 

^?         ' 

0    / 

^9      ' 

0     / 

^0      / 

0 

0 

0   0 

2.50 

66     0 

0.00 

0    0 

2.50 

66  30 

0.00 

0    0 

2.61 

67     0 

0.00 

90 

90.0 

I 

24 

2.40 

0 

.02 

24 

2.50 

30 

.02 

23 

2.50 

0 

.02 

89 

89.1 

2 

49 

2.50 

I 

.02 

48 

2.50 

31 

.02 

47 

2.61 

I 

.02 

88 

88.2 

3 

I  13 

2.40 

2 

.02 

I  12 

2.50 

32 

.02 

I    10 

2.50 

2 

.02 

87 

87.2 

4 

38 

2.50 

3 

•03 

36 

2.50 

Zl 

.03 

34 

2.61 

3 

•03 

86 

86.3 

5 

2    2 

2.50 

S 

0.03 

2    0 

2.61 

35 

0.03 

57 

2.61 

5 

0.03 

85 

85-4 

6 

26 

2.50 

7 

.03 

23 

2.50 

Z7 

•03 

2  20 

2.50 

7 

•03 

84 

^4-S 

7 

CO 

2.40 

9 

.05 

47 

2.50 

39 

.05 

44 

2.61 

9 

.05 

83 

83.6 

8 

3   15 

2.50 

12 

.07 

3  II 

2.50 

42 

.05 

3     7 

2.61 

12 

.05 

82 

82.7 

9 

39 

2.50 

16 

.07 

35 

2.61 

45 

•07 

30 

2.61 

15 

.07 

81 

81.7 

10 

4     3 

2.50 

20 

0.07 

58 

2.50 

49 

0.07 

53 

2.61 

19 

0.07 

80 

80.8 

1 1 

27 

2.50 

24 

.07 

4  22 

2.61 

53 

.07 

4  16 

2.61 

23 

.07 

79 

79-9 

12 

51 

2.50 

28 

.08 

45 

2.50 

57 

.08 

39 

2.61 

27 

.oS 

78 

79.0 

13 

5  15 

2.50 

33 

.08 

5     9 

2.61 

67     2 

.08 

5     2 

2.61 

32 

.08 

77 

78.0 

M 

39 

2.50 

38 

.10 

32 

2.61 

7 

.10 

25 

2.61 

37 

.08 

76 

77.1 

15 

6     3 

2.61 

44 

0. 10 

.  55 

2.61 

13 

0.  lO 

48 

2.61 

42 

0. 10 

75 

76.2 

16 

26 

2.50 

55 

.10 

6  18 

2.61 

19 

.10 

6  II 

2.61 

48 

.10 

74 

75-3 

17 

50 

2.61 

.     56 

.12 

41 

2.61 

25 

.12 

34 

2.73 

.0   54 

.12 

73 

74-3 

18 

7  13 

2.50 

67     3 

.12 

7     4 

2.61 

32 

.12 

56 

2.61 

68      I 

.12 

72 

73-4 

19 

37 

2.61 

10 

•13 

27 

2.61 

39 

.12 

7  19 

2.73 

8 

.12 

71 

72.5 

20 

8     0 

2.61 

18 

0.13 

0  5° 

2,61 

46 

0.13 

0  41 

2.73 

IS 

0.13 

70 

71-5 

21 

23 

2.61 

26 

.'3 

8  13 

2.61 

54 

.13 

8     3 

2.73 

23 

•13 

69 

70.6 

22 

46 

2.61 

34 

•IS 

36 

2.73 

68     2 

•15 

25 

2-73 

31 

•13 

68 

69.7 

23 

9     9 

2-73 

43 

•  15 

58 

2.73 

II 

•IS 

47 

2.73 

39 

•IS 

.67 

68.7 

24 

31 

2.61 

52 

•17 

9  20 

2-73 

20 

.15 

9     9 

2.86 

48 

•IS 

66 

67.8 

25 

54 

-73 

68     2 

0.17 

42 

2.73 

29 

0.17 

30 

2.73 

.     57 

0.17 

65 

66.8 

26 

10  16 

2-73 

12 

•'7 

10     4 

2-73 

39 

•17 

52 

2.86 

69     7 

•  17 

64 

65-9 

2> 

38 

2-73 

22 

.17 

26 

2-73 

49 

.18 

10  13 

2,86 

17 

•  17 

63 

65.0 

28 

II     0 

2-73 

32 

.18 

48 

2.86 

69     0 

.18 

34 

2.86 

27 

.18 

62 

64.0 

29 

22 

2.73 

43 

.20 

II     9 

2.86 

II 

.18 

55 

2.86 

38 

.18 

61 

63.1 

30 

'       44 

2-73 

55 

0.20 

30 

2.86 

22 

0.20 

II    16 

2.86 

49 

0.18 

60 

62.1 

31 

12     6 

2.86 

69     7 

.20 

51 

2.86 

34 

.20 

37 

3.00 

70     0 

.20 

59 

61. 1 

32 

27 

2.86 

19 

.20 

12  12 

2.86 

46 

.20 

57 

3.00 

12 

.20 

58 

60.2 

33 

48 

2.86 

31 

.22 

11 

3,00 

58 

.22 

12  17 

3.00 

24 

.22 

57 

[59-2 

34 

13     9 

2.86 

44 

.23 

IZ 

3.00 

70  II 

.22 

37 

3.00 

37 

.22 

56 

58.3 

35 

30 

3.00 

58 

0.23 

13  13 

3.00 

24 

0.22 

57 

3.00 

50 

0.22 

55 

57-3 

36 

50 

3.0c 

70  12 

•23 

11 

3.00 

17 

.23 

13  17 

3.16 

71      3 

.22 

54 

56-3 

37 

14  10 

3.00 

26 

•23 

'^l 

3.00 

51 

•23 

36 

3.16 

16 

.23 

53 

55-4 

38 

30 

3.00 

40 

•25 

14  13 

3.16 

71      5 

•25 

55 

3.16 

30 

.23 

52 

54-4 

39 

SO 

3.16 

55 

•25 

32 

3.16 

20 

.25 

14  14 

3.16 

44 

•25 

51 

53-4 

40 

IS     9 

3.16 

71   10 

0.27 

51 

3.16 

35 

0.25 

33 

3.33 

59 

0.25 

50 

52-4 

41 

28 

3.16 

26 

•27 

15   10 

3.16 

50 

•27 

51 

3-33 

72  14 

•25 

42 

51-4 

42 

.  47 

3.16 

42 

•  27 

29 

3-33 

72     6 

•27 

15     9 

3-33 

29 

•27 

48 

50.5 

43 

16     6 

3.i6 

58 

•27 

.  "^7 

3-33 

22 

•27 

27 

3-33 

45 

.27 

4? 

49-5 

44 

25 

3-33 

72  14 

.28 

16     5 

3.33 

38 

.28 

45 

3-S3 

73     I 

.28 

46 

48-5 

45 

43 

"      1 

23 

55 

16     2 

iS 

45 

47^5 

a 

60' 

6 

A 

a 

Co' 

h 

A 

a 

60' 

b 

^ 

a 

t 

A 

6c/ 

A 

6c/ 

A 

6c/ 

(^  =  66^0' 

rf  =  66°30' 

d  =  6T0' 

0.445 


0435 


0.424 


[Page  291 


\  6 

a  =  66°0' 

a  =  66°  30' 

a  =  67°0' 

\ 

\  * 

\   d 

60' 

\   ^ 

A 

\  d 

60' 

\  t 

A 

\  d 

60' 

\.      t 

A 

\ 

b\ 

h\ 

A 

z\ 

60' 

A  \ 

A 

Z\ 

60' 

A  \ 

A 

Z\ 

60' 

^\ 

P\  • 

0 

9     ' 

0     / 

0     / 

0      / 

9      ' 

0       / 

J, 

0 

45 

16  43 

3-33 

72  3^^ 

0,30 

16  23 

3-53 

72  55 

0.28 

16     2 

3-53 

73   18 

0.27 

45 

47-5 

40 

17     I 

3-53 

49 

.30 

40 

3-53 

73  12 

.28 

19 

3-53 

34 

.28 

44 

46^5 

47 

18 

3-53 

73     7 

.30 

57 

3-53 

29 

.30 

36 

3^53 

51 

.28 

43 

4S5 

48 

35 

3-53 

25 

.30 

17   14 

3^53 

47 

•30 

53 

3^75 

74     8 

.30 

42 

44-5 

49 

52 

3-53 

43 

.32 

31 

3^75 

74     5 

•30 

17     9 

3-75 

26 

•3° 

41 

43-5 

50 

18     9 

3-75 

74     2 

0.32 

0  47 

3^75 

23 

0.32 

25 

3^75 

44 

0.32 

40 

42.5 

51 

25 

3-75 

21 

•32 

18     3 

3-75 

42 

•32 

41 

4.00 

75     3 

•30 

39 

41.4 

52 

41 

3-75 

40 

.33 

19 

4.00 

75     I 

.32 

0  56 

4.00 

21 

•32 

38 

40.4 

53 

57 

3-75 

75     0 

•33 

34 

4.00 

20 

•33 

18  II 

4.00 

40 

•32 

37 

39^4 

54 

19  13 

4.00 

20 

•33 

49 

4.00 

40 

.33 

26 

4.29 

59 

.33 

36 

38.4 

55 

28 

4.00 

40 

0.35 

19     4 

4.29 

76    0 

o^33 

40f 

4.29 

76  19 

o^33 

35 

37^4 

56 

43 

4.29 

76     I 

•35 

18 

4.29 

20 

•35 

54 

4.29 

39 

•33 

34 

363 

57 

57 

4.29 

22 

.35 

32 

4.29 

41 

.35 

19     8 

4.62 

59 

•33 

33 

35-3 

5« 

20  II 

4.62 

43 

•  37 

46 

4.62 

77     2 

•35 

21 

4.62 

77  19 

•35 

32 

34^3 

59 

24 

4.62 

77     5 

•  37 

59 

4.62 

23 

•35 

34 

4.62 

40 

•35 

31 

33-2 

60 

37 

4.62 

27 

0.37 

20  12 

4.62 

44 

0.37 

47 

5.00 

78     I 

0.35 

30 

32.2 

61 

50 

4.62 

49 

•37 

25 

5.00 

78     6 

.37 

59 

5.00 

22 

•37 

29 

31.2 

62 

21     3 

5.00 

78  II 

•38 

37 

5.00 

28 

•  37 

20  II 

5.00 

44 

•37 

28 

30.1 

63 

15 

5.00 

34 

•38 

49 

5-45 

50 

•37 

23 

5^45 

79     6 

•37 

27 

29.1 

64 

27 

S-45 

57 

•38 

21     0 

5^45 

79  12 

•38 

•34 

5^45 

28 

•37 

26 

28.0 

65 

38 

5-45 

79  20 

0.40 

II 

5.45 

35 

0.38 

45 

6.00 

50 

o^37 

25 

27.0 

66 

49 

6.00 

44 

.40 

22 

6.00 

58 

•  38 

55 

6.00 

80  12 

•38 

24 

25.9 

67 

59 

5.00 

80     8 

.40 

32 

6.00 

80  21 

.40 

21      5 

6.00 

35 

.38 

23 

24.8 

68 

22     9 

6.00 

32 

.40 

42 

6.67 

45 

.40 

15 

6.67 

58 

•38 

22 

23^8 

69 

19 

6.67 

56 

.40 

51 

6,67 

81     9 

.40 

24 

6.67 

81   21 

.38 

21 

22.7 

70 

28 

6.67 

81   20 

0.42 

22     0 

6.67 

33 

0.40 

33 

7.50 

44 

0.40 

20 

21.6 

71 

37 

7.50 

45 

.42 

9 

7.50 

57 

.40 

41 

7.50 

82     8 

.40 

19 

20.6 

72 

45 

7.50 

82  10 

•42 

17 

7.50 

82  21 

.40 

49 

7.50 

32 

.40 

18 

19^5 

73 

53 

7.50 

35 

•  42 

25 

8.57 

45 

.42 

57 

8.57 

56 

.40 

'I 

18.4 

74 

23     I 

8.57 

83     0 

•43 

32 

8.57 

83  10 

.42 

22     4 

8.57 

83  20 

.40 

16 

17^4 

75 

8 

8.57 

26 

0.42 

39 

8.57 

35 

0.42 

II 

lO.O 

44 

0.40 

15 

16.3 

76 

15 

1 0.0 

51 

•43 

46 

1 0.0 

84    0 

•42 

17 

lO.O 

84     8 

.42 

14 

I5^2 

77 

21 

lO.O 

84  17 

•43 

52 

lO.O 

25 

•42 

23 

112.0 

33 

.40 

13 

14. 1 

78 

27 

12.0 

0     43 

•43 

58 

12.0 

50 

•42 

28 

12.0 

0     57 

.42 

12 

13^  I 

79 

32 

12.0 

85     9 

•43 

23     3 

12.0 

85  15 

.43 

33 

12.0 

85  22 

.42 

II 

12.0 

80 

37 

15.0 

35 

0.43 

8 

15.0 

41 

0.42 

38 

15.0 

.  47 

0.42 

10 

10.9 

81 

41 

15.0 

86     1 

•43 

12 

15.0 

86     6 

•43 

42 

15.0 

86  12 

•42 

9 

9.8 

82 

45 

15.0 

27 

•45 

16 

20.0 

32 

•43 

46 

20.0 

37 

.42 

8 

H 

83 

49 

20.0 

54 

•43 

19 

20.0 

58 

•43 

49 

20.0 

87     2 

•43 

7 
6 

l^ 

S4 

52 

30.0 

87  20 

•45 

22 

30.0 

87  24 

•  43 

52 

30.0 

28 

•42 

6.5 

85 

54 

30.0 

47 

0.43 

24 

30.0 

50 

^•43 

54 

30.0 

n     53 

0.42 

5 

5-5 

86 

56 

30.0 

88  13 

•45 

26 

30.0 

88  16 

•43 

56 

30.0 

88  18 

•43 

4 

4.4 

^7 

58 

60.0 

40 

•45 

28 

60.0 

42 

.43 

58 

60.0 

„     44 

.42 

3 

3-3 

88 

59 

60.0 

89     7 

•43 

29 

60.0 

89     8 

•43 

59 

60.0 

89     9 

•  42 

2 

2.2 

89 

24    0 

— 

33 

•45 

30 

— 

34 

•43 

23     0 

— 

34 

•43 

I 

I.I 

90 

0 

90     0 

30 

90     0 

0 

90     0 

0 

0.0 

a 

60' 

h 

_A 

a 

6& 

h 

A 

a 

60' 

6 

A 

tt 

^ 

A 

6c/ 

A 

60' 

A 

60' 

^  =  66°  0' 

<i  =  66°  30' 

d^QTQ' 

Page  292] 

0 

.414 

0. 

404 

0. 

394 

\; 

a  =  67°  30' 

a  =  68°0' 

a  =  68°  30' 

); 

\  * 

60' 

A 

A 
60' 

A 

Z\ 

_A^ 
60' 

60' 

A 

A 

60' 

A 

o 

0     / 

^°    ' 

0     / 

,  °     ' 

0    / 

0      / 

0 

0 

0    0 

2.61 

67  30 

0,00 

0    0 

2-73 

68     0 

0.00 

0    0 

2.73 

68  30 

0.00 

90 

90.0 

I 

23 

2.61 

30 

.02 

22 

2.61 

0 

.02 

22 

2-73 

30 

.02 

89 

89.1 

2 

46 

2.61 

31 

.02 

45 

2.73 

I 

.02 

44 

2.73 

31 

.02 

88 

88.1 

3 

I     9 

2.61 

32 

.02 

I     7 

2.61 

2 

,02 

I     6 

2.73 

32 

.02 

87 

87.2 

4 

32 

2,61 

ii 

•03 

30 

2-73 

3 

.03 

28 

2-73 

33 

.03 

86 

86.3 

5 

55 

2.61 

35 

0.03 

52 

2.61 

5 

0.03 

50 

2-73 

35 

0.03 

85 

854 

6 

2  18 

2.73 

2>7 

•  03 

2  15 

2.73 

7 

•03 

2  12 

2-73 

37 

.03 

84 

84.4 

7 

40 

2.61 

39 

.05 

2,7 

2.73 

9 

.05 

34 

2.86 

39 

.03 

83 

82.6 

8 

3     3 

2.61 

42 

.05 

59 

2.61 

12 

.05 

55 

2.73 

41 

.05 

82 

9 

26 

2.61 

45 

.05 

3  22 

2.73 

15 

•°5 

3   17 

2-73 

44 

.07 

81 

81.6 

10 

49 

2.73 

48 

0.07 

44 

2.73 

18 

0.07 

39 

2.73 

48 

0.07 

80 

80.7 

II 

4  II 

2.61 

52 

.07 

4     6 

2.73 

22 

.07 

4     I 

2.86 

52 

.07 

79 

79-8 

12 

34 

2.73 

.0  56 

.08 

28 

2.73 

26 

.08 

22 

2.73 

56 

.07 

78 

78.9 

13 

56 

2.61 

68     I 

.08 

50 

2.73 

31 

.08 

44 

2.86 

69     0 

.08 

77 

77-9 

14 

5  19 

2-73 

6 

.10 

5  12 

2.73 

36 

.08 

5     5 

2.73 

5 

.08 

76 

77.0 

15 

^  41 

2-73 

12 

0. 10 

34 

2.73 

41 

0. 10 

27 

2.86 

10 

0. 10 

75 

76.0 

16 

6     3 

2.73 

18 

,10 

.  56 

2.86 

47 

.10 

48 

2.86 

16 

.10 

74 

75-1 

17 

25 

2-73 

24 

.10 

6  17 

2.73 

53 

.10 

6     9 

2.86 

22 

.10 

73 

74-2 

18 

47 

2-73 

30 

.12 

39 

2.86 

59 

.12 

30 

2.86 

28 

.  10 

72 

73-2 

19 

7     9 

2-73 

37 

.12 

7     0 

2-73 

69     6 

.12 

51 

2.86 

34 

.12 

71 

72.3 

20 

31 

2.73 

44 

0.13 

22 

2.86 

13 

0.12 

7  12 

2.86 

41 

0.12 

70 

71.4 

21 

0  53 

2.73 

.     52 

.13 

43 

2.86 

20 

.13 

33 

2.86 

48 

•13 

69 

70.4 

22 

8  15 

2.86 

69     0 

.13 

8     4 

2.86 

28 

•13 

54 

3.00 

56 

•13 

68 

69.5 

23 

36 

2.86 

8 

.13 

25 

2.86 

36 

•13 

8  14 

3.00 

70     4 

•13 

67 

68.5 

24 

57 

2.86 

16 

•IS 

46 

2.86 

44 

•'5 

34 

3.00 

12 

•15 

66 

67.6 

25 

9  18 

2.86 

25 

0.17 

9     7 

3.00 

53 

o.is 

54 

3.00 

21 

0.15 

65 

66.6 

26 

39 

2.86 

35 

•'7 

27 

2.86 

70     2 

.17 

9  14 

3.00 

30 

••S 

64 

657 

27 

10     0 

2.86 

45 

.17 

48 

3,00 

12 

•17 

34 

3.00 

39 

•17 

63 

64.7 

28 

21 

2.86 

55 

•17 

10     8 

3.00 

22 

•17 

54 

3.00 

49 

•17 

62 

63.8 

29 

42 

3.00 

70     5 

.18 

28 

3.00 

32 

.18 

10  14 

3.00 

59 

.18 

61 

63.8 

30 

XI       2 

3.00 

16 

0.18 

48 

3.00 

43 

0.18 

34 

3.16 

71   10 

0,18 

60 

61.8 

31 

22 

3,00 

27 

.20 

II     8 

3.16 

54 

.18 

53 

3.16 

21 

.18 

59 

60.9 

32 

42 

3.00 

39 

.20 

27 

3.16 

71     5 

.20 

II    12 

3.16 

32 

.18 

58 

59-9 

33 

12     2 

3.00 

51 

.20 

46 

3.16 

17 

.20 

31 

3.T6 

43 

.20 

57 

58.9 

34 

22 

3.16 

71     3 

.20 

12     5 

3.16 

29 

.20 

50 

3-33 

55 

.20 

56 

58.0 

35 

41 

3.16 

15 

0.22 

24 

3.16 

41 

0.22 

12     8 

3-33 

72     7 

0.20 

55 

57.0 

36 

13     0 

3.16 

28 

.22 

43 

3.16 

54 

.22 

26 

3-33 

19 

.22 

54 

56.0 

37 

19 

3.16 

41 

•23 

13     2 

3-33 

72     7 

.22 

44 

3-33 

32 

.22 

53 

551 

38 

^l 

3.33 

55 

.23 

20 

3-33 

20 

.23 

13     2 

3-33 

45 

•23 

52 

54-1 

39 

56 

3-33 

72     9 

•25 

38 

3-33 

34 

•23 

20 

3-33 

59 

.23 

51 

53-' 

40 

14  14 

3.53 

24 

0.25 

56 

3.33 

48 

0.23 

38 

3-53 

73  13 

0.23 

50 

52.1 

41 

32 

3-33 

39 

•25 

14  14 

3-53 

71     2 

•25 

55 

3-53 

27 

.23 

49  j 

51.1 

42 

5? 

3.33 

54 

.25 

31 

3.53 

17 

.25 

14  12 

3-S3 

41 

•25 

48! 

50.1 

43 

15     8 

3.53 

7i     9 

•27 

48 

3-53 

32 

.27 

29 

3-75 

56 

•25 

'^J 

49.2 

44 

25 

3-53 

25 

•27 

15     5 

3-53 

48 

•25 

45 

3-75 

74  II 

46 

48.2 

45 

42 

41 

22 

74     3 

15      I 

26  1 

45 

47.2 

a 

ec/ 

6 

A 

a 

6<y 

h 

A 

a 

60' 

b 

A 

a 

t 

A 

60' 

^ 

6<y 

A 

6cy 

d  =  QTZ{y 

rf  =  68°0' 

d==6S°20' 

0. 

414 

0.404 

0-394 

[ 

Pag 

e293 

\ 

a  =  67°  30' 

a  =  68°0' 

a  =68°  30' 

\i 

\  * 

\  J 

60' 

\  t 

A 

\^ 

6c/ 

\  t 

A 

\d 

60' 

\ 

t 

A 

\ 

A 

A\ 

^ 

z\ 

ec 

^    \ 

A 

z\ 

60/ 

A\ 

A 

z 

\ 

60' 

A 

/?\ 

o 

0     / 

0      / 

0    / 

0       / 

0     / 

0 

/ 

p 

0 

45 

15  42 

3-53 

71  41 

0.27 

15  22 

3-75 

74     3 

0.27 

15     I 

3-75 

74 

26 

0.27 

45 

47.2 

46 

.  59 

3-75 

57 

.28 

38 

3^75 

^9 

.28 

17 

3-75 

42 

.27 

44 

46.2 

47 

16  15 

3-75 

74  14 

.28 

.  54 

3-75 

36 

.27 

Zl 

4.00 

58 

•27 

43 

45-2 

48 

31 

3-75 

3^ 

.28 

16  10 

3-75 

52 

.28 

48 

4.00 

75 

14 

.28 

42 

44.2 

49 

47 

3.75 

48 

.3c 

26 

4.00 

75     9 

.28 

16     3 

4.00 

31 

.28 

41 

43^2 

50 

17     3 

4.00 

75     6 

0.30 

41 

4.00 

26 

0.30 

18 

4.00 

48 

0.28 

40 

42.1 

51 

18 

4.00 

24 

.30 

56 

4.29 

.  44 

•30 

33 

4.29 

76 

5 

.28 

3§ 

41.1 

52 

33 

4.00 

42 

.3<^ 

17  10 

4.29 

76     2 

.30 

47 

4.29 

22 

•30 

38 

40.1 

S3 

48 

4.29 

76    0 

•32 

24 

4.29 

20 

.30 

17      I 

4.29 

40 

•30 

37 

39^1 

54 

18     2 

4.29 

19 

.32 

38 

4.29 

38 

.32 

15 

4.62 

58 

•30 

36 

38^i 

55 

16 

4.29 

38 

0.32 

52 

4.29 

57 

0.32 

28 

4.62 

77 

16 

0.32 

35 

37^  I 

56 

30 

4.62 

57 

•33 

18     6 

4.62 

77  16 

.32 

41 

4.62 

35 

.32 

34 

36^0 

57 

43 

4.62 

77  17 

•33 

19 

4.62 

35 

.33 

54 

5.00 

54 

•32 

33 

35-0 

58 

56 

4.62 

37 

.33 

32 

5.00 

55 

.33 

18     6 

5.00 

78 

13 

•32 

32 

34^0 

59 

19     9 

5.00 

57 

•  35 

44 

5.00 

78  15 

.33 

18 

5.00 

32 

.32 

31 

32.9 

60 

21 

5.00 

78  18 

0.35 

56 

5.00 

35 

0.33 

30 

5.00 

51 

0-33 

30 

3i^9 

61 

33 

5.00 

39 

•35 

19     8 

5-45 

55 

•35 

42 

5-45 

79 

II 

•33 

29 

30.9 

62 

45 

5-45 

79     0 

•35 

19 

5-45 

79  16 

•35 

53 

5-45 

31 

•33 

28 

^•^ 

63 

56 

5-45 

21 

.35 

30 

5-45 

37 

•35 

19     4 

6.00 

51 

•35 

^Z 

28.8 

64 

20     7 

5-45 

42 

•37 

41 

6.00 

58 

•35 

14 

6.00 

80 

12 

•35 

26 

27.7 

65 

18 

6.00 

80     4 

o^37 

51 

6.00 

80  19 

0-35 

24 

6.00 

33 

^•35 

25 

26.7 

66 

28 

6.00 

26 

•37 

20     I 

6.67 

40 

•37 

34 

6.67 

54 

•35 

24 

257 

67 

38 

6.67 

48 

•38 

10 

6.67 

81      2 

•37 

43 

6.67 

81 

15 

•35 

23 

24.6 

68 

47 

6,67 

81   II 

.37 

19 

6.67 

24 

•37 

52 

6.67 

36 

•37 

22 

23-S 

69 

56 

6.67 

33 

•38 

28 

6.67 

46 

•37 

20     1 

7.50 

58 

•37 

21 

22.5 

70 

21      5 

7.50 

56 

0.38 

37 

7-5° 

82     8 

0-37 

9 

7.50 

82 

20 

0-37 

20 

21.4 

71 

13 

7.50 

82  19 

.38 

45 

8.57 

30 

•38 

17 

8.57 

42 

•37 

'i 

20.4 

72 

21 

8.57 

42 

.40 

52 

8.57 

53 

•38 

24 

8.57 

83 

4 

•37 

18 

193 

73 

28 

8.57 

83     6 

.38 

59 

8.57 

83  16 

•  38 

31 

8.57 

26 

•37 

'I 

18.3 

74 

35 

8.57 

29 

,40 

21     6 

8.57 

39 

.38 

38 

1 0.0 

48 

•38 

16 

17.2 

75 

42 

1 0.0 

53 

0.40 

13 

1 0.0 

84     2 

0.38 

44 

lO.O 

84 

II 

0-37 

15 

16. 1 

76 

48 

1 0.0 

84  17 

.40 

19 

lO.O 

25 

.38 

50 

12.0 

33 

.38 

14 

IS- 1 

77 

54 

12.0 

41 

.40 

25 

12.0 

48 

.40 

55 

12.0 

56 

•38 

13 

14.0 

78 

59 

12.0 

85     5 

.40 

30 

12.0 

85   12 

.40 

21     0 

12.0 

85 

19 

•38 

12 

12.9 

79 

22     4 

15.0 

29 

.40 

35 

15.0 

36 

•38 

5 

15.0 

42 

.38 

II 

11.8 

80 

8 

15.0 

.  S3 

0.40 

39 

15.0 

59 

0.40 

9 

15.0 

86 

5 

0,38 

10 

10.8 

81 

12 

15.0 

86  17 

•  42 

43 

15.0 

86  23 

.40 

13 

15.0 

28 

.40 

I 

V. 

82 

16 

20.0 

42 

.42 

47 

20.0 

47 

.40 

17 

20.0 

52 

.38 

8.6 

83 

19 

20.0 

87     7 

.40 

50 

20.0 

87  II 

.40 

20 

20.0 

87 

15 

.40 

I 

^5 

84 

22 

20.0 

31 

.42 

53 

30.0 

35 

.40 

23 

30.0 

39 

•38 

6-5 

85 

25 

30.0 

56 

0.42 

55 

30.0 

59 

0.40 

25 

30.0 

88 

2 

0.40 

5 

5-4 

86 

27 

60.0 

88  21 

.40 

57 

60.0 

88  23 

.40 

27 

60,0 

26 

.38 

4 

4-3 

87 

28 

60.0 

45 

.42 

'58 

60.0 

47 

.42 

28 

60.0 

49 

.40 

3 

32 

88 

29 

60.0 

89  10 

.42 

59 

60.0 

89  12 

.40 

29 

60.0 

89 

13 

•38 

2 

2.2 

89 

30 

— 

35 

.42 

22     0 

— 

36 

.40 

30 

— 

36 

.40 

I 

I.I 

90 

30 

90     0 

0 

90     0 

30 

90 

0 

0 

0.0 

a 

^       6 

A 

a 

^           & 

A 

a 

60' 

b 

A 

a 

t 

A 

6./ 

A 

60' 

A 

60' 

^  =  67°  30' 

^  =  68°  0' 

^  =  68°  30' 

Page 

294] 

0 

•384 

0-, 

374 

0.3154 

\ 

a  =  69°0' 

a  =  69°  30' 

a  =  l(f(y 

V 

\  * 

\d 

60' 

\    t 

A 

\ 

d 

60' 

\  t 

A 

\ 

d 

60' 

\  * 

A 

\ 

A 

A  \ 

A 

z\ 

60' 

A 

\ 

A 

Z\ 

60' 

h 

\ 

A 

z\ 

60' 

^\ 

P\ 

0 

0     / 

,0      ' 

0 

/ 

^0     * 

0 

/ 

0       / 

^ 

0 

0    0 

2-73 

69    0 

O.OQ 

0 

0 

2.86 

69  30 

0.00 

0 

0 

2.86 

70    0 

0.00 

90 

90.0 

I 

22 

2.86 

0 

.02 

21 

2.86 

30 

.02 

21 

3.00 

0 

.02 

8q 

89.1 

2 

43 

2.73 

I 

.02 

42 

2.86 

31 

.02 

41 

2.86 

I 

.02 

88 

88.1 

.S 

I     5 

2.86 

2 

.02 

I 

3 

2.86 

32 

.02 

I 

2 

3.00 

2 

.02 

^7 

87.2 

4 

26 

2.86 

3 

.02 

24 

2.86 

33 

.02 

22 

2.86 

3 

.02 

86 

86.3 

5 

47 

2-73 

4 

0.03 

45 

2.86 

34 

0.03 

43 

3.00 

4 

0.03 

85 

85-3 

6 

2     9 

2.86 

6 

.03 

2 

6 

2.86 

36 

•03 

2 

3 

3.00 

6 

.03 

84 

84.4 

7 

30 

2.73 

8 

•05 

27 

2.86 

38 

.05 

23 

2.86 

8 

•05 

^3 

83-4 

8 

52 

2.S6 

II 

.05 

48 

2.86 

41 

.05 

44 

3.00 

II 

.05 

82 

82.5 

9 

3  13 

2.86 

14 

.05 

3 

9 

3.00 

44 

.05 

3 

4 

3.00 

14 

.05 

81 

81.6 

10 

34 

2.86 

17 

0.07 

29 

2.86 

47 

0.07 

24 

2.86 

17 

0.05 

80 

80.6 

1 1 

55 

2.86 

21 

.07 

50 

2,86 

51 

•07 

45 

3.00 

20 

.07 

79 

79-7 

12 

4  16 

2.86 

25 

.07 

4 

II 

3.00 

55 

.07 

4 

5 

3.00 

24 

.07 

78 

78.7 

13 

37 

2.86 

29 

.08 

31 

2.86 

59 

.08 

25 

3.00 

28 

.08 

77 

77.8 

14 

58 

2.86 

34 

.08 

52 

3.00 

70    4 

.08 

45 

3.00 

33 

.08 

76 

76.8 

15 

5   19 

2.86 

39 

O.IO 

5 

12 

2.86 

9 

0.08 

5 

5 

3.00 

38 

0.08 

75 

75-9 

i6 

40 

2.86 

45 

.10 

33 

3.00 

14 

.10 

25 

3.. 6 

43 

.10 

74 

75-0 

17 

6     I 

2.86 

51 

.10 

53 

3.00 

20 

.10 

44 

3.00 

49 

.10 

73 

74.0 

i8 

22 

3.00 

57 

.10 

6 

13 

3.00 

26 

.10 

6 

4 

3.00 

55 

.10 

72 

73-1 

19 

42 

2.85 

70     3 

.12 

33 

3.00 

32 

.12 

24 

3.16 

71      I 

.10 

71 

72.1 

20 

7     3 

3.00 

10 

0.12 

53 

3.00 

39 

0.12 

43 

3.00 

7 

0.12 

70 

71.2 

21 

23 

3.00 

17 

.12 

7 

13 

3.16 

46 

.12 

7 

3 

3., 6 

14 

.12 

69 

70.2 

22 

43 

3.00 

24 

•13 

32 

3.00 

53 

•13 

22 

3.16 

21 

•13 

68 

69-3 

23 

8     3 

3.00 

32 

.13 

52 

3.00 

71      I 

.13 

41 

3.16 

29 

•13 

fz 

68.3 

24 

23 

3.00 

40 

•15 

8 

12 

3.16 

9 

.'3 

8 

0 

3.16 

37 

•13 

66 

67.4 

^§ 

43 

3.16 

49 

0.15 

31 

3.16 

17 

0.15 

19 

3.16 

45 

0.13 

^5 

66.4 

26 

9     2 

3.00 

58 

•'S 

50 

3.16 

26 

•15 

38 

3-33 

S3 

•15 

64 

65-4 

^^ 

22 

3.16 

71     7 

•17 

9 

9 

3.16 

35 

•IS 

56 

3.. 6 

72     2 

•IS 

P 

64-5 

28 

41 

3., 6 

17 

•17 

28 

3.16 

44 

•17 

9 

15 

3-33 

II 

•15 

62 

63.S 

29 

10     0 

3.16 

27 

•17 

47 

3-33 

54 

•17 

33 

3-33 

20 

•17 

61 

62.6 

30 

19 

3.16 

27 

0.17 

10 

5 

3.33 

72     4 

0.17 

SI 

3-33 

30 

0.17 

60 

61.6 

31 

38 

3.16 

A7 

.18 

23 

3-33 

14 

.18 

10 

9 

3-33 

40 

.18 

5§ 

60.6 

32 

57 

3-33 

58 

.18 

41 

3-33 

25 

.i8 

27 

3-53 

51 

.18 

58 

59-7 

33 

II   15 

3-33 

72     9 

.20 

59 

3-33 

36 

.18 

44 

3-33 

73     2 

.18 

^l 

58.7 

34 

33 

3-33 

21 

.20 

II 

17 

3-33 

47 

.18 

II 

2 

3-53 

13 

.18 

56 

57-7 

3| 

51 

3-33 

33 

0.20 

35 

3.33 

58 

0.20 

19 

3-53 

24 

0.20 

55 

56.7 

36 

12     9 

3.33 

45 

.20 

53 

3-53 

73  10 

.20 

36 

3-53 

36 

.20 

54 

55.8 

37 

27 

3-33 

57 

.22 

12 

10 

3-S3 

22 

.22 

53 

3.75 

48 

.20 

53 

54-8 

38 

45 

3-53 

72  10 

.22 

27 

3-53 

35 

.22 

12 

9 

3.53 

74     0 

.20 

52 

53-8 

39 

13     2 

3-53 

23 

.23 

44 

3.53 

48 

.22 

26 

3-75 

12 

.22 

51 

528 

40 

19 

3.53 

37 

0.23 

13 

I 

3.75 

74     I 

0.22 

42 

3-75 

25 

0.22 

50 

51.8 

41 

36 

3.53 

51 

•23 

17 

3-75 

14 

•23 

58 

3-75 

38 

.23 

49 
48 

50.8 

42 

53 

3-75 

74     5 

.23 

33 

3.75 

28 

.23 

13 

14 

4.00 

52 

.23 

49-9 

43 

14    9 

3-75 

19 

•25 

49 

3-75 

42 

.25 

29 

4.00 

75     6 

.23 

^I 

48.9 

44 

25 

3.7s 

34 

•25 

14 

5 

4.00 

57 

.23 

44 

4.00 

20 

.23 

46 

47-9 

45 

41 

49 

20 

75  II 

59 

34 

45 

46.9 

a 

60' 

h 

A 

a 

60' 

b 

A 

a 

6o_' 

6 

A 

a 

t 

A 

60' 

A 

60' 

A 

60' 

d  =  69°0' 

^  =  69°  30' 

d  =  70°0' 

0.384 


0.374 


0.364 


[Page  295 


K 

a  =  69°0' 

a  =  69°  30' 

a  =  70°  0' 

\ 

\  * 

\  d 

60' 

\  * 

A 

\  d 

6t/ 

X  t 

A 

\  d 

ecy 

\^   t 

A 

\ 

A 

h\ 

A 

Z\  6<y 

^     \ 

A 

z\ 

^'O' 

h\ 

A 

^    \ 

6cy 

c\ 

/?\ 

0 

0      / 

0     1 

0     / 

0   / 

0     <- 

0      / 

g 

0 

45 

14  41 

4.00 

74  49   ° 

25 

14  20 

4.00 

75   II 

0.25 

13  59 

4.00 

75   34 

0.25 

45 

46.9 

46 

5^^' 

4.00 

75     4 

27 

35 

4.00 

26 

•27 

14  14 

4.00 

.  49 

.25 

44 

45-9 

47 

15  II 

4.00 

20 

27 

50 

4.00 

42 

•25 

29 

4.29 

76     4 

•25 

43 

44-9 

48 

26 

4.00 

l^ 

27 

15     5 

4.29 

.  57 

•27 

43 

4.29 

19 

•25 

42 

43-9 

49 

41 

4.00 

52 

27 

19 

4.29 

7€>  13 

•27 

57 

4.29 

34 

•27 

41 

42.9 

50 

56 

4.29 

76     8   0 

28 

33 

4.29 

29 

0.27 

15   II 

4.29 

5$ 

0.27 

40 

41.9 

51 

16  10 

4.29 

25 

28 

47 

4.29 

45 

.28 

25 

4.62 

77     6 

•27 

3g 

40.8 

52 

24 

4.29 

42     . 

2S 

16     I 

4.62 

77     2 

.28 

38 

4.62 

22 

.28 

38 

39-8 

=5  3 

38 

4.62 

59     . 

30 

M 

4.62 

19 

.28 

51 

4.62 

39 

•27 

37 

38^8 

54 

SI 

4.62 

77  17     • 

30 

27 

4.62 

36 

.30 

16     4 

5.00 

55 

.28 

36 

37^8 

•  55 

17     4 

4.62 

3^    = 

1° 

40 

4.62 

54 

0.30 

16 

5.00 

78  12 

0.30 

35 

368 

56 

17 

5.00 

„  53 

3  = 

53 

5.00 

78  12 

.30 

28 

5. CO 

30 

.2S 

34 

35-8 

57 

29 

5.00 

78  11     , 

32 

17     5 

5.00 

30 

.30 

40 

5.00 

47 

.30 

33 

34-7 

58 

41 

5.00 

30 

32 

17 

5.45 

48 

.30 

52 

5-45 

79     5 

•3° 

32 

33-7 

59 

53 

5.00 

49     . 

32 

28 

5-45 

79     6 

.32 

17     3 

5.4s 

23 

.30 

31 

32.7 

60 

18     5 

5.45 

79     8    0 

32 

39 

5-45 

25 

0.32 

14 

6.00 

41 

0.32 

30 

31.6 

61 

16 

5-45 

27 

33 

50 

5-45 

44 

.32 

24 

6.00 

80     0 

.30 

29 

30.6 

62 

27 

6.00 

47 

33 

18     I 

6.00 

80     3 

■32 

34 

6.00 

18 

.32 

28 

29.6 

63 

37 

6.00 

80     7 

33 

II 

6.00 

22 

.33 

44 

6.00 

37 

.32 

27 

28.S 

64 

47 

6.00 

27 

33 

21 

6.67 

42 

■  32 

54 

6.67 

56 

■32 

26 

27-5 

65 

57 

6.00 

47    0 

35 

30 

6.67 

81      I 

o^33 

18     3 

6.67 

81   15 

0-33 

25 

26.5 

66 

19     7 

6.67 

81      8 

33 

39 

6.67 

21 

.33 

12 

6.67 

35 

•32 

24 

25-4 

67 

16 

6.67 

28 

35 

48 

6.67 

41 

•33 

21 

7.50 

54 

.33 

23 

24.4 

68 

25 

7.50 

49 

35 

57 

7.50 

82      I 

•35 

29 

7.50 

82  14 

.33 

22 

233 

69 

33 

7.50 

82  10 

35 

19     5 

7.50 

22 

■35 

37 

7.50 

34 

.33 

21 

22.3 

70 

41 

7.50 

31    0 

37 

13 

8.57 

43 

0.35 

45 

8.57 

54 

0.35 

20 

21.2 

71 

49 

8.57 

53 

35 

20 

8.57 

83     4 

•35 

52 

8.57 

83   15 

.33 

19 

18 

20.2 

72 

56 

8.57 

83  14 

37 

27 

8.57 

25 

.35 

59 

8.57 

35 

•35 

19.1 

73 

20     3 

10. 0 

36 

37 

34 

lO.O 

46 

.35 

19     6 

lO.O 

56 

•33 

17 

18. 1 

74 

9 

lO.O 

58 

37 

40 

lO.O 

84     7 

•  35 

12 

lO.O 

84  x6 

.35 

16 

17.0 

75 

15 

1 0.0 

84  20  0 

37 

46 

10.0 

28 

0.37 

18 

12.0 

37 

0.35 

15 

16.0 

76 

21 

12.0 

42 

37 

52 

12.0 

50 

•  35 

23 

12.0 

58 

•35 

14 

14.9 

77 

26 

12.0 

85     4 

37 

57 

12.0 

85   II 

•  37 

28 

12.0 

85   19 

•35 

13 

13-8 

78 

31 

12.0 

26 

38 

20     2 

15.0 

33 

•37 

33 

15.0 

40 

•37 

12 

12.8 

79 

36 

15.0 

49 

■37 

6 

15.0 

55 

•37 

37 

15.0 

86     2 

•35 

II 

11.7 

80 

40 

15.0 

86  II    0 

.38 

10 

15.0 

86  17 

0.37 

41 

15.0 

23 

o^35 

10 

10.7 

81 

44 

20.0 

34 

.38 

14 

20.0 

39 

■37 

45 

20.0 

44 

•37 

q 
8 

9.6 

82 

47 

20.0 

57 

■37 

17 

20.0 

87     I 

■37 

48 

20.0 

87     6 

•37 

8.5 

83 

50 

20.0 

87   19 

.38 

20 

20.0 

23 

•38 

51 

30.0 

28 

•35 

I 

7-5 

84 

53 

30.0 

42 

.38 

,    23 

30.0 

46 

•37 

53 

30.0 

49 

•37 

6.4 

85 

55 

30.0 

88     5    0 

.38 

25 

30.0 

88     8 

0.37 

55 

30.0 

88  II 

0.37 

5 

5-3 

86 

57 

60.0 

28 

.38 

27 

60.0 

30 

•38 

57 

60.0 

33 

•37 

4 

4-3 

87 

58 

60.0 

51 

.38 

28 

60.0 

53 

•37 

58 

60.0 

55 

•35 

3 

3-2 

88 

59 

60.0 

89  14 

.38 

29 

60.0 

89  15 

•  37 

59 

60.0 

89  16 

.37 

2 

2.1 

89 

21     0 

— 

o7 

■38 

30 

— 

37 

.38 

20     0 

— 

38 

•37 

I 

I.I 

90 

0 

90     0 

30 

90    0 

0 

00     0 

0 

0.0 

i- 

a 

60' 

h        - 

A 

a 

be/ 

6 

A 

a 

6(y 

b 

_A 

a 

t 

A 

t 

)C/ 

A 

ecy 

A 

60' 

d  =  69°  0' 

(Z  =  69°30' 

d  =  70°0' 

Page  296] 

0 

•354 

0.344 

0.335 

\ 

a  =  70°  30' 

a  =  71°0' 

a  =  71°  30' 

\\ 

\  * 

\  d 

oc/ 

\  t 

A 

\  d 

60' 

\  t 

A 

\  <i 

()0' 

\     t 

A 

\ 

^\ 

A  \ 

A 

Z\ 

60' 

h\ 

A 

z\ 

6(y 

A  \ 

A 

z  \ 

60' 

^\ 

^\ 

0 

0     / 

0    / 

0     / 

0       / 

0     / 

0       / 

0 

0 

0    0 

3.00 

70  30 

0.00 

0    0 

3.00 

71     0 

0,00 

0    0 

3.16 

71  30 

0.00 

90 

90.0 

I 

20 

3,00 

30 

.02 

20 

3.16. 

0 

.02 

19 

3.16 

30 

.02 

89 

89.1 

2 

40 

3.00 

31 

.02 

39 

3.00 

I 

.02 

38 

3.16 

31 

.02 

88 

88.1 

3 

I    0 

3.00 

32 

.02 

59 

3.16 

2 

.02 

57 

3.16 

32 

.02 

87 

87.2 

4 

20 

3.00 

33 

.02 

I    18 

3.00 

3 

.02 

I   16 

3.16 

33 

.02 

86 

86.2 

5 

40 

3.00 

34 

0.03 

38 

3.16 

4 

0.03 

35 

3.16 

34 

0.03 

85 

85.3 

6 

2    0 

3.00 

^f 

.03 

57 

3.00 

6 

.03 

54 

3.16 

36 

•°3 

84 

84-3 

7 

20 

3.00 

38 

•03 

2  17 

3.16 

8 

.03 

2  13 

3.16 

38 

•03 

83 

834 

8 

40 

3.00 

40 

.05 

36 

3-16 

10 

•OS 

32 

3.16 

40 

•05 

82 

82.4 

9 

3     0 

3.00 

43 

.05 

55 

3.00 

13 

•OS 

51 

3.16 

43 

.05 

81 

81.S 

10 

20 

3.16 

46 

0.07 

3  15 

3.16 

16 

0.05 

3  10 

3.33 

46 

0.05 

80 

80.5 

1 1 

39 

3.00 

50 

.07 

34 

3.16 

19 

•07 

28 

3.16 

49 

.07 

79 

79^ 

12 

59 

3.16 

54 

.07 

53 

3.16 

23 

.07 

47 

3.16 

53 

.07 

78 

78.6 

13 

4  18 

3.00 

58 

.07 

4  12 

3.16 

27 

.07 

4     6 

3-33 

57 

.07 

77 

77-7 

14 

S8 

3.16 

71      2 

.08 

31 

3.16 

31 

.08 

24 

3.16 

72     I 

.07 

76 

76.7 

IS 

57 

3.00 

7 

0.08 

SO 

3,16 

36 

0.08 

43 

3.33 

5 

0.08 

75 

75-8 

i6 

5  17 

3.16 

12 

,08 

5     9 

3.16 

41 

.08 

5     I 

3.33 

10 

.08 

74 

74.8 

17 

36 

3.16 

17 

.10 

28 

3.33 

46 

.10 

19 

3.16 

15 

.10 

73 

73^9 

i8 

^  55 

3.16 

23 

.10 

46 

3.16 

52 

.10 

38 

3-33 

21 

.10 

72 

72.9 

19 

6  14 

3.16 

29 

.10 

6     5 

3.16 

58 

.10 

56 

3-33 

27 

.10 

71 

72.0 

20 

33 

3.16 

35 

0.12 

24 

3-33 

72     4 

0.12 

6  14 

3-33 

33 

0. 10 

70 

71.0 

21 

52 

3.16 

42 

.12 

42 

3-33 

II 

.12 

32 

3-33 

39 

.12 

69 

70.1 

22 

7  II 

3.16 

49 

.13 

7    ? 

3-33 

18 

.12 

50 

3.53 

46 

.12 

68 

69.1 

23 

3° 

3-33 

57 

•13 

18 

3-33 

25 

.12 

7     7 

3-33 

53 

.12 

67 

68.1 

24 

48 

3.16 

72     5 

•13 

36 

3.33 

32 

.13 

25 

3.53 

73     0 

•13 

66 

67.2 

^1 

8     7 

3-33 

13 

0.13 

0  54 

3-33 

40 

0.13 

42 

3-33 

8 

0.13 

65 

66.2 

26 

25 

3-33 

21 

.13 

8  12 

3-33 

48 

•13 

8     0 

3-53 

16 

•13 

64 

65.2 

27 

43 

3-33 

29 

.15 

30 

3.33 

56 

•IS 

17 

3-S3 

24 

.13 

63 

643 

28 

9     I 

3.33 

38 

•'S 

48 

3-53 

73     5 

•IS 

34 

3-S3 

32 

•IS 

62 

633 

29 

19 

3-33 

47 

•17 

9     5 

3-53 

14 

•  17 

51 

3^S3 

41 

•15 

61 

62.3 

30 

37 

3-53 

57 

0,17 

22 

3-53 

24 

0.17 

9     8 

3-7S 

50 

0.17 

60 

61.4 

ji 

54 

3.53 

73     7 

.17 

39 

3.53 

34 

•  17 

24 

3-S3 

74     0 

•17 

59 

60.4 

32 

10  II 

3.53 

17 

.17 

56 

3-53 

44 

•  17 

41 

3-7S 

10 

•17 

58 

59-4 

33 

28 

3-53 

27 

.18 

10  13 

3-53 

54 

•  17 

57 

3-7S 

20 

•17 

57 

58.4 

34 

45 

3-53 

38 

.18 

30 

3-75 

74     4 

.18 

10  13 

3-7S 

30 

•17 

56 

57-5 

35 

II     2 

3.53 

49 

0.20 

46 

3-75 

15 

0.18 

29 

3-7S 

40 

0.18 

55 

56.S 

36 

19 

3-75 

74     I 

.20 

II     2 

3-75 

26 

.18 

45 

3-7S 

51 

.18 

54 

55-5 

3^ 

35 

3-75 

13 

.20 

18 

3-75 

37 

.20 

II      I 

4.00 

75     2 

.20 

53 

545 

38 

51 

3-75 

25 

.20 

34 

3-75 

49 

.20 

16 

4.00 

14 

.20 

52 

535 

39 

12     7 

3-75 

37 

.20 

50 

4.00 

75     I 

.20 

.    31 

4.00 

26 

.20 

51 

52.6 

40 

23 

3-75 

49 

0,22 

12     5 

4.00 

13 

0.22 

46 

4.00 

38 

0.20 

50 

51-6 

41 

39 

4.00 

75     2 

.22 

20 

4.00 

26 

.22 

12     I 

4.00 

50 

.20 

4§ 

50.6 

42 

54 

4.00 

15 

•23 

35 

4.00 

39 

.22 

16 

4.29 

76     2 

.22 

48 

49.6 

43 

13     9 

4.00 

29 

•23 

50 

4.29 

.  52 

,22 

30 

4.29 

15 

.22 

47 

48.6 

44 

24 

4.00 

43 

.23 

13     4 

4.29 

76     5 

.23 

44 

4.29 

28 

.22 

46 

47.6 

45 

39 

57 

18 

19 

58 

41 

45 

46.6 

a 

6(y 

b 

_A_ 

a 

60' 

5 

A 

a 

60' 

& 

A 

a 

t 

A 

6<y 

A 

60' 

A 

60' 

d=^70°20' 

d  =  l 

ro' 

d  =  li°ZO' 

0.354 


0.344 


0335 


[Page  297 


\ 

a  =  70°  30' 

a  =  7r0' 

a  =  71°  30' 

[\ 

V 

\d 

6c/ 

\  * 

A 

\<^ 

60' 

\   t 

A^ 

\  d 

60' 

\ 

t 

A 

A 

b\ 

A\ 

A 

z\ 

60' 

A\ 

A 

z\ 

60' 

h\ 

A 

z 

\ 

60' 

A 

^ 

o 

0    / 

0      / 

0    / 

0       / 

0     / 

0 

/ 

0, 

45 

13  39 

4.00 

75   57 

0.23 

13  18 

4.29 

76  19 

0.23 

12  58 

4.29 

76 

41 

0.23 

4°5 

46.6 

40 

54 

4.29 

76  II 

.23 

32 

4.29 

33 

•  23 

13  12 

4.62 

55 

.23 

44 

45-6 

47 

14     8 

4-29 

25 

.25 

46 

4.29 

47 

.23 

25 

4.6z 

77 

9 

.23 

43 

44.6 

4S 

22 

4.29 

40 

•25 

14    0 

4.62 

77     I 

.2; 

38 

4.62 

23 

•  23 

42 

43-6 

49 

36 

4.62 

55 

•25 

13 

4.62 

16 

.25 

51 

4.62 

37 

•25 

41 

42.6 

50 

49 

4.62 

77  10 

0.27 

26 

4.62 

31 

0.2s 

14    4 

4.62 

52 

0.25 

40 

41.6 

SI 

15     2 

4.62 

26 

.27 

39 

4.62 

46 

.27 

17 

5.00 

78 

7 

.25 

39 

40.6 

5-^ 

15 

4.62 

42 

.27 

52 

5.00 

78     2 

•27 

29 

5.00 

22 

.25 

38 

39^6 

53 

28 

5.00 

0  58 

,28 

15     4 

5.00 

18 

•27 

41 

5.00 

37 

.25 

37 

38.6 

54 

40 

5.00 

78  15 

•  27 

16 

5.00 

34 

•27 

53 

S.45 

52 

.27 

36 

37^5 

55 

.  5- 

5.00 

31 

0.2S 

28 

5.00 

59 

0.27 

15     4 

5-45 

79 

8 

0.27 

35 

36.5 

56 

16     4 

5.00 

48 

.28 

40 

$•45 

79     6 

.28 

15 

5-45 

24 

.27 

34 

35-5 

57 

16 

5-45 

79     5 

.28 

^  51 

$•45 

23 

.28 

26 

5-45 

40 

.28 

33 

34^5 

58 

27 

S-4S 

22 

.30 

16     2 

6.00 

40 

.28 

37 

6.00 

57 

.27 

32 

33^5 

59 

38 

6.00 

40 

.30 

12 

6.00 

57 

.28 

47 

6.00 

80 

13 

.28 

31 

32^4 

6o 

48 

6.00 

0     58 

0.30 

22 

6.00 

80  14 

0.28 

57 

6.00 

30 

0.28 

30 

314 

6i 

5^ 

6.00 

80  16 

•30 

32 

6.00 

31 

.30 

16     7 

6.67 

47 

.28 

29 

30.4 

62 

17     8 

6.00 

34 

•30 

42 

6.00 

49 

•30 

16 

6.67 

81 

4 

•30 

28 

29.4 

63 

18 

6.67 

52 

•30 

52 

6.67 

81     7 

.30 

25 

6,67 

22 

.28 

27 

28.3 

64 

27 

6.67 

81   10 

.32 

17     I 

6.67 

25 

.30 

34 

6.67 

39 

•30 

26 

27.3 

65 

36 

6.67 

29 

0.32 

10 

7.50 

43 

0.32 

43 

7.50 

57 

0.30 

25 

26.3 

66 

45 

6.67 

48 

.32 

18 

7.50 

82     2 

.30 

51 

7.50 

82 

15 

.30 

24 

25.2 

67 

0   54 

7.50 

82     7 

•33 

26 

7.50 

20 

.32 

59 

7.50 

33 

.30 

23 

24.2 

68 

18     2 

7.50 

27 

•32 

34 

7.50 

39 

•32 

17     7 

8.57 

51 

.32 

22 

23.1 

69 

10 

8.57 

46 

.33 

42 

8.57 

58 

•32 

14 

8.57 

S3 

10 

.30 

21 

22.1 

70 

17 

8.57 

83     6 

0.32 

49 

8.57 

83  17 

0.32 

21 

8.57 

28 

0.32 

20 

2I.I 

71 

24 

8.57 

25 

.33 

56 

lO.O 

36 

•33 

28 

lO.O 

47 

•32 

19 

20.0 

72 

31 

1 0.0 

45 

.33 

18     2 

lO.O 

56 

•32 

34 

1 0.0 

84 

6 

•  32 

18 

19.0 

73 

37 

1 0.0 

84     5 

•35 

8 

10.0 

84  15 

•33 

40 

lO.O 

25 

•  32 

17 

17.9 

74 

43 

lO.O 

26 

.33 

14 

lO.O 

35 

•32 

46 

12.0 

44 

•32 

16 

16.9 

75 

49 

I2.0 

46 

0-33 

20 

12.0 

54 

0.33 

51 

12.0 

85 

3 

0.32 

15 

15-8 

76 

54 

12.0 

85     6 

.35 

25 

12.0 

85   14 

•33 

0  56 

12.0 

22 

•33 

14 

14.8 

77 

59 

12.0 

27 

.33 

30 

15.0 

34 

.33 

18     I 

15.0 

42 

.32 

13 

13-7 

78 

19     4 

15.0 

47 

.35 

34 

15.0 

„.  54 

•33 

5 

15.0 

86 

I 

.33 

12 

12.7 

79 

8 

15.0 

86     8 

•35 

38 

15.0 

86  14 

•35 

9 

15.0 

21 

.32 

II 

11.6 

80 

12 

20,0 

29 

0.35 

42 

20.0 

35 

0.33 

13 

20.0 

40 

0-33 

10 

10.6 

81 

15 

20.0 

50 

.35 

45 

20.0 

55 

.33 

16 

20.0 

87 

0 

•33 

9 

9^5 

82 

18 

20.0 

87  II 

.35 

48 

20.0 

87  15 

•35 

19 

20.0 

20 

•33 

8 

8.5 

83 

21 

30.0 

32 

•35 

51 

30.0 

36 

.33 

22 

30.0 

40 

•33 

7 

7-4 

84 

23 

30.0 

53 

•35 

53 

30.0 

56 

.35 

24 

30.0 

88 

0 

•33 

6 

6.3 

85 

25 

30.0 

88  14 

0.35 

55 

30.0 

88   17 

0.33 

26 

60.0 

20 

0.33 

5 

5-3 

86 

27 

60.0 

35 

.35 

57 

60.0 

37 

•35 

27 

60.0 

40 

•33 

4 

4.2 

87 

28 

6o.o 

56 

.37 

58 

60.0 

58 

.35 

28 

60.0 

89 

0 

•33 

3 

3^2 

88 

29 

60.0 

89  18 

•35 

59 

60.0 

89  19 

•33 

29 

60.0 

20 

•33 

2 

2.1 

89 

30 

— 

39 

•35 

19     0 

— 

39 

•35 

30 

— 

40 

•33 

I 

I.I 

90 

30 

90     0 

0 

90     0 

30 

90 

0 

0 

0.0 

a 

60' 

b 

A 

a 

60' 

6 

A 

a 

6c/ 

b 

A 

a 

t 

A 

60' 

A 

6c/ 

A 

60' 

d  =  70°30' 

d  =  ll°0' 

fZ  =  71°30' 

Page  298]  0.325 


031S 


0.300 


■  V               J. 

\b 

a  =  72°0' 

0  =  72°  30' 

a  =  73°0' 

V 

\" 

\rf 

6'/ 

\   * 

A 

\^ 

60' 

\  t 

A 

\  d 

60' 

\  t 

A 

A 

b\ 

^     \ 

A 

z\ 

60' 

A\ 

A 

z\ 

6r/ 

h\ 

A 

z\ 

60' 

A 

A 

0 

0     / 

0      y 

0     / 

0        / 

0     / 

0      / 

0 

0 

0 

0    0 

3.16 

72      0 

0.00 

0    0 

3-33 

72  30 

0.00 

0    0 

3-33 

73     0 

0.00 

90 

90.0 

I 

19 

3-33 

0 

.02 

x8 

3-33 

30 

.02 

18 

3-53 

0 

.02 

89 

89.0 

2 

37 

3.. 6 

I 

.00 

36 

3-33 

31 

.00 

35 

3-33 

I 

.00 

88 

88.1 

3 

56 

3-33 

I 

.02 

54 

3-33 

31 

.02 

53 

3-53 

1 

.02 

§7 

87.1 

4 

I    14 

3.16 

2 

.03 

I   12 

3-33 

32 

.03 

I   10 

3-33 

2 

.03 

86 

86.2 

5 

32 

3-33 

4 

0.03 

30 

3-33 

34 

0.02 

28 

3-53 

4 

0.02 

85 

85.2 

6 

51 

3-33 

6 

.03 

48 

3-33 

35 

.03 

45 

3-33 

5 

.03 

84 

84-3 

7 

2     9 

3.16 

8 

•03 

2     6 

3-33 

37 

.03 

2     3 

3-53 

7 

.03 

83 

83-3 

8 

28 

3-33 

10 

.05 

24 

3-33 

39 

.05 

20 

3-53 

9 

.05 

82 

82.4 

9 

46 

3.. 6 

13 

.05 

42 

3-33 

42 

.05 

37 

3-33 

12 

•05 

81 

81.4 

10 

3     5 

3-33 

16 

0.05 

3     0 

3-53 

45 

0.05 

55 

3-53 

15 

0.05 

80 

80.S 

II 

23 

3-33 

19 

.05 

17 

3-33 

48 

.05 

3  12 

3-53 

18 

•°5 

79 

79-5 

12 

41 

3-33 

22 

.07 

35 

3.33 

51 

.07 

29 

3.53 

21 

.07 

78 

78.5 

13 

59 

3-33 

26 

.07 

53 

3-53 

55 

.07 

46 

3-53 

25 

,07 

77 

77.6 

14 

4  17 

3-33 

30 

.07 

4  10 

3-33 

59 

.07 

4     3 

3-53 

29 

.07 

76 

76.6 

^5 

35 

3-33 

34 

0.08 

28 

3-53 

73     3 

0.08 

20 

3-53 

33 

0.07 

75 

757 

16 

53 

3-33 

39 

.08 

45 

3-33 

8 

.08 

37 

3-53 

37 

.08 

74 

74-7 

17 

5  II 

3-33 

44 

.oS 

5     3 

3-53 

13 

.08 

54 

3-53 

42 

.08 

73 

73-7 

18 

29 

3.53 

49 

.  10 

20 

3-53 

18 

.10 

5  II 

3-53 

47 

.08 

72 

72.8 

19 

46 

3.33 

55 

.  10 

37 

3-53 

24 

•  lo 

28 

3-75 

52 

.10 

71 

71.8 

20 

6     4 

3-53 

73     I 

0. 10 

.  54 

3-53 

30 

0. 10 

.  44 

3-53 

58 

0. 10 

70 

70.9 

21 

21 

3-33 

7 

.12 

6  II 

3-53 

36 

.ro 

6     I 

3-75 

74     4 

.10 

69 

69.9 

22 

39 

3-53 

14 

.12 

28 

3-53 

42 

.12 

17 

3-53 

10 

.12 

68 

68.9 

23 

56 

3-53 

21 

.12 

45 

3.53 

49 

.12 

34 

3-75 

17 

.12 

67 

68.0 

24 

7  13 

3-53 

28 

.  12 

7     2 

3-75 

56 

.12 

50 

3-75 

24 

.12 

66 

67.0 

25 

30 

3-53 

35 

0.13 

18 

3-53 

74     3 

0.13 

7     6 

3-75 

31 

0.12 

65 

66.0 

26 

47 

3-53 

43 

•'3 

35 

3-75 

II 

••3 

22 

3-75 

38 

•  13 

64 

65.1 

27 

8     4 

3-53 

51 

••3 

„  51 

3-75 

19 

•13 

38 

3-75 

46 

•'3 

63 

64.1 

28 

21 

3-75 

59 

•15 

8     7 

3-75 

27 

•  13 

54 

4.00 

54 

•13 

62 

63.1 

29 

37 

3-75 

74     8 

••5 

23 

3-75 

35 

•>5 

8     9 

3-75 

75     2 

•«3 

61 

62.1 

30 

53 

3-75 

17 

0.15 

39 

3-75 

44 

0.15 

25 

4.00 

10 

0.15 

60 

61.2 

31 

9     9 

3-75 

26 

•17 

55 

4.00 

53 

•15 

40 

4.00 

19 

•'5 

59 

60.2 

32 

25 

3-75 

36 

■'7 

9  10 

3-75 

75     2 

•IS 

55 

4.00 

28 

•'5 

58 

59-2 

33 

41 

3-75 

46 

•<7 

26 

4.00 

II 

.17 

9  10 

4.00 

37 

•'5 

57 

58.2 

34 

57 

3-75 

56 

•17 

41 

4.00 

21 

•17 

25 

4.29 

46 

•'7 

56 

57.2 

35 

10  13 

4-.  00 

75     6 

0.17 

56 

4.00 

31 

0.17 

39 

4.00 

56 

0.17 

55 

56.3 

30 

28 

4.00 

16 

.18 

10  1 1 

4.00 

41 

.18 

54 

4.29 

76     6 

.18 

54 

55-3 

37 

43 

4..  00 

27 

.18 

26 

4.29 

.  52 

.18 

10     8 

4.29 

17 

•17 

53 

54-3 

2^ 

58 

4.00 

38 

.20 

40 

4.29 

76     3 

.18 

22 

4.29 

27 

.18 

52 

53-3 

39 

II   13 

iJ.OO 

50 

.18 

54 

4.29 

14 

.18 

36 

4.29 

38 

.18 

51 

52-3 

40 

28 

4.29 

76     I 

0.20 

II     8 

4.29 

25 

0.20 

50 

4.29 

49 

0.18 

50 

51-3 

41 

42 

4-29 

13 

.22 

22 

4.29 

37 

.20 

II     4 

4.62 

77     0 

.20 

49 

50-3 

42 

56 

4.29 

26 

.20 

36 

4.29 

49 

.20 

17 

4.62 

12 

.20 

48 

49-3 

43 

12  10 

4.29 

38 

.22 

50 

4.62 

77     I 

.20 

30 

4.62 

24 

.20 

"^l 

48.4 

44 

24 

4.29 

51 

.22 

12     3 

4.62 

13 

.22 

43 

4.62 

36 

.20 

46 

47-4 

45 

38 

77     4 

16 

26 

56 

48 

45 

46.4 

a 

»' 

b 

A 

a 

60' 

b 

_A 

a 

r,o' 

i 

_A_ 

a 

/ 

A 

6c/ 

A 

1 

60' 

A 

60' 

d  =  l 

2°(y 

d  =  72 

°20' 

d  =  l, 

3°0' 

0325 


0-315 


0308 


[Page  299 


\b 

a  =  72° 

0' 

a  =  72°  30' 

a  =  73°0' 

\\ 

\  ** 

\^ 

60' 

\ 

t 

A 

\   d 

60' 

\   t 

A 

\.  d   60' 

\  t 

_A 

\ 

b\ 

h\ 

A 

z 

\ 

ec/ 

h\ 

A 

z\ 

60' 

h   N.     ^ 

\Z\ 

ec 

fA 

^\ 

o 

0     / 

0 

/ 

0    i 

0      / 

0     / 

0     / 

4<f.4 

45 

12  38 

4.6i 

77 

4 

0.22 

12  16 

4.62 

77  26 

0.22 

II  56 

4.62 

77  48 

0.22 

4'5 

46 

51 

4.62 

17 

.22 

29 

4.62 

39 

.22 

12    9 

5.00 

78     I 

.20 

44 

45-4 

47 

13     4 

4.62 

30 

.23 

42 

4.62 

0  52 

.22 

21 

5.00 

13 

.22 

43 

44.4 

48 

17 

5.00 

44 

•23 

55 

5.00 

78     5 

.23 

33 

5.00 

26 

.22 

42 

43-4 

49 

29 

5.00 

58 

.23 

13     7 

5.00 

19 

.23 

45 

5.0Q 

39 

•23 

41 

42.3 

50 

41 

5.00 

78 

12 

0.23 

19 

5.00 

33 

0.23 

57 

5-45 

53 

0.23 

40 

41-3 

51 

53 

5.00 

26 

•25 

31 

5.00 

U 

•23 

13     8 

5-45 

79     7 

.23 

39 

40.3 

52 

14     5 

5.00 

41 

.25 

43 

5-45 

79     I 

.23 

19 

5-45 

21 

.23 

3« 

39-3 

53 

17 

5.00 

56 

•25 

54 

5-45 

15 

•25 

30 

5-45 

35 

•23 

37 

38.3 

54 

29 

5-45 

79 

II 

.25 

14     5 

5-45 

30 

•25 

41 

5-45 

49 

.23 

36 

37-3 

55 

40 

5-45 

26 

0.27 

16 

6.00 

45 

0.25 

52 

6.00 

80     3 

0.25 

35 

36.3 

56 

51 

6.00 

42 

•27 

26 

6.00 

80     0 

.25 

14      2 

6.00 

18 

•25 

34 

35-3 

57 

15     I 

6.00 

58 

•27 

36 

6.  GO 

15 

.27 

12 

6.00 

33 

.25 

33 

34-3 

58 

II 

6.00 

80 

14 

,27 

46 

6.00 

31 

•27 

22 

6.67 

48 

•25 

3-' 

33-2 

59 

21 

6.00 

30 

•27 

56 

6.00 

47 

•27 

31 

6.67 

81     3 

•25 

31 

32.2 

60 

31 

6.00 

46 

0.28 

IS     6 

6.67 

81     3 

0.27 

40 

6.67 

18 

0.27 

30 

31.2 

61 

41 

6.67 

81 

3 

.28 

15 

6.67 

19 

.27 

49 

6.67 

34 

•27 

^S 

30.2 

62 

50 

6.67 

20 

.28 

24 

6.67 

35 

•27 

58 

7.50 

50 

•27 

28 

29.1 

63 

.  59 

6.67 

37 

.28 

ll 

7.50 

51 

.28 

15     6 

7.50 

82     6 

.27 

27 

28.1 

64 

16     8 

7.50 

54 

.28 

41 

7.50 

82     8 

.28 

14 

7-53 

22 

.27 

26 

27.1 

65 

16 

7-5° 

82 

II 

0.28 

49 

7.50 

25 

0.28 

22 

7.50 

38 

0.28 

25 

26.1 

66 

24 

7.50 

28 

.30 

57 

8.57 

42 

,28 

30 

8.57 

55 

.27 

24 

25.0 

67 

32 

8.57 

46 

.30 

16    4 

8.57 

59 

.28 

37 

8.57 

83  II 

.28 

23 

24.0 

68 

39 

8.57 

83 

4 

.30 

11 

8.57 

83  16 

.28 

44 

8.57 

28 

.28 

22 

23.0 

69 

46 

8.57 

22 

•30 

18 

8.57 

33 

.30 

51 

lO.O 

45 

.28 

21 

21.9 

70 

53 

lO.O 

40 

0.30 

25 

lO.O 

51 

0,28 

57 

lO.O 

84     2 

0.28 

20 

20.9 

71 

59 

lO.O 

58 

.30 

31 

10.0 

84     8 

.30 

16     3 

1 0.0 

19 

.28 

19 

19.9 

72 

17     5 

1 0.0 

84 

16 

.30 

n 

lO.O 

26 

.30 

9 

12.0 

36 

.28 

18 

18.8 

73 

II 

1 0.0 

34 

•32 

43 

12.0 

44 

.30 

14 

12.0 

53 

.30 

'Z 

17.8 

74 

17 

12.0 

53 

•32 

48 

12.0 

85     2 

•  30 

19 

12.0 

85  II 

.28 

16 

16.7 

75 

22 

12.0 

85 

12 

0.30 

53 

12.0 

20 

0.30 

24 

12.0 

28 

0.30 

15 

15-7 

76 

27 

15.0 

30 

.32 

58 

15.0 

3^ 

.30 

29 

15.0 

46 

.30 

14 

14.7 

77 

31 

15.0 

49 

.32 

17    2 

15.0 

56 

•32 

33 

15.0 

86     4 

.30 

13 

13-6 

78 

35 

15.0 

86 

8 

•32 

6 

15.0 

86  15 

.30 

37 

15.0 

22 

.30 

12 

12.6 

79 

39 

15.0 

27 

.32 

10 

15.0 

33 

.32 

41 

20.0 

40 

.30 

II 

"•5 

80 

43 

20.0 

46 

0.32 

14 

20.0 

52 

0.30 

44 

20.0 

58 

0.30 

10 

10.5 

81 

46 

20.0 

87 

5 

.33 

17 

20.0 

87  10 

.32 

47 

20.0 

87  16 

•30 

9 

9.4 

82 

49 

20.0 

25 

.32 

20 

30.0 

29 

•32 

50 

30.0 

34 

.30 

8 

8.4 

83 

52 

30.0 

44 

•32 

22 

30.0 

48 

.32 

52 

30.0 

„-,  52 

•30 

7 

7-3 

84 

54 

30.0 

88 

3 

.33 

24 

30.0 

88     7 

.30 

54 

30.0 

88  10 

.30 

6 

6.3 

85 

56 

60.0 

23 

0.32 

26 

60.0 

25 

0.32 

56 

60.0 

28 

0.32 

5 

5.2 

86 

57 

60.0 

42 

•32 

27 

60.0 

44 

•32 

57 

60.C 

47 

.30 

4 

4.2 

87 

58 

60.0 

89 

I 

.33 

28 

60.0 

89     3 

•  32 

58 

6c..  0 

89     5 

•30 

3 

31 

88 

59 

60.0 

21 

•32 

29 

60.0 

22 

•  32 

59 

60.0 

23 

•32 

2 

2.1 

89 

18     0 

— 

40 

.33 

30 

— 

41 

.32 

17     0 

— 

42 

•30 

I 

J.0 

90 

0 

90 

0 

30 

90     0 

0 

90     0 

0 

ao 

a 

60' 

b 

A 

a 

6(/ 

b 

A 

a 

-        h 

^ 

a 

t 

A 

60' 

A 

6(y 

A    ]| 

6r/ 

d  =  12r0' 

d  =  72°20' 

d  =  13°0' 

Page  300]         0.296 


0.287 


0.277 


\ 

a  =  73°  30' 

a  =  74°0' 

a  =  74°  30' 

\ 

\" 

\d 

60' 

\  i 

A 

\(i   60' 

\   t 

_A^ 

\  ^ 

60' 

\  t 

A 

«\ 

^\ 

^   \ 

A 

Z\ 

60' 

h    N.       A 

z\ 

60' 

/i  \ 

A 

z\ 

60' 

c\ 

A 

0 

0     / 

0     / 

0      / 

0      / 

0     / 

0      / 

^ 

0 

0 

0    0 

3-53 

73  30 

0.00 

0     0 

3-53 

74    0 

0.00 

0    0 

3-75 

74  30 

0.00 

90 

90.0 

I 

17 

3-53 

30 

.02 

17 

3-75 

0 

.02 

16 

3-75 

30 

.02 

89 

^i° 

2 

34 

3.53 

31 

.00 

33 

3-53 

I 

.CO 

32 

3-75 

31 

.00 

88 

88.1 

3 

51 

3-53 

3? 

.02 

59 

3-75 

I 

.02 

48 

3-75 

31 

.02 

87 

87.1 

4 

I     8 

3-53 

32 

.02 

I     6 

3-53 

2 

.02 

I     4 

3-75 

32 

.02 

86 

86.2 

5 

25 

3-53 

33 

0.03 

23 

3-75 

3 

0.03 

20 

3-75 

33 

0.03 

85 

85.2 

6 

42 

3-53 

35 

.03 

39 

3-53 

5 

.03 

36 

3-75 

35 

.03 

84 

84.2 

7 

59 

3-53 

37 

.03 

56 

3.75 

7 

.03 

52 

3-75 

37 

•03 

83 

83.3 

8 

2  16 

3-53 

39 

.03 

2  12 

3-75 

9 

.03 

2     8 

3-75 

39 

.03 

82 

82.3 

9 

33 

3-53 

41 

.05 

28 

3-53 

II 

.05 

24 

3-75 

41 

.03 

81 

81.3 

10 

55 

3-75 

44 

0.05 

45 

3-75 

14 

0.05 

40 

4.00 

43 

0.05 

80 

80.4 

1 1 

3     6 

3-53 

47 

.05 

3     I 

3-75 

17 

.05 

55 

3-75 

46 

.05 

79 

79-4 

12 

23 

3-53 

50 

.07 

17 

3-75 

20 

.05 

3  II 

3-75 

49 

.07 

78 

78.5 

13 

40 

3-75 

H 

.07 

33 

3-75 

23 

.07 

27 

4.00 

53 

.05 

77 

77-5 

14 

56 

3-53 

58 

•07 

49 

3-75 

27 

.07 

42 

3-75 

56 

•07 

76 

76.S 

15 

4  13 

3-75 

74   2 

0.07 

4     5 

3-75 

31 

0.07 

58 

3-7S 

75     0 

0.07 

75 

75-6 

16 

29 

3-53 

6 

.08 

21 

3.75 

35 

.08 

4  14 

4.00 

4 

.08 

74 

74.6 

17 

46 

3-75 

II 

.08 

37 

3-75 

40 

.c8 

29 

4.00 

9 

.07 

73 

73-6 

18 

5     ? 

3-75 

16 

.08 

53 

3-75 

45 

.08 

44 

4.00 

13 

.08 

72 

72.7 

19 

18 

3-75 

21 

.10 

5     9 

3-75 

SO 

.08 

59 

4.00 

x8 

.08 

71 

71.7 

20 

34 

3-75 

27 

0. 10 

25 

4.00 

55 

0. 10 

5  14 

4.00 

23 

0. 10 

70 

70.7 

21 

^  50 

3-75 

33 

.10 

40 

3-75 

7S     I 

.10 

29 

4.00 

29 

.10 

69 

69.7 

22 

6     6 

3-75 

39 

.10 

56 

4.00 

7 

.10 

44 

4.00 

35 

.IC 

68 

68.8 

23 

22 

3-75 

45 

.10 

6  II 

4.00 

13 

.10 

59 

4.00 

41 

.  10 

67 

67.8 

24 

38 

3-75 

51 

.12 

26 

4.00 

19 

.12 

6  14 

4.00 

47 

.10 

66 

66.8 

25 

54 

4.00 

58 

0.12 

41 

4.00 

26 

0.12 

29 

4.00 

S3 

0.12 

65 

659 

26 

7     9 

3-75 

75     5 

•'3 

56 

4.00 

33 

.12 

44 

4.29 

76     0 

.12 

64 

64.9 

27 

25 

4.00 

13 

•'3 

7  II 

4.00 

40 

.13 

58 

4.29 

7 

.12 

63 

639 

28 

40 

4.00 

21 

•13 

26 

4.00 

48 

.12 

7   12 

4.29 

14 

•13 

62 

62.9 

29 

55 

4.00 

29 

•13 

41 

4.29 

55 

.13 

26 

4.29 

22 

•13 

61 

62.0 

30 

8  10 

4.00 

37 

0.13 

0  55 

4.00 

76     3 

0.13 

40 

4.29 

30 

0.13 

60 

61.0 

^l 

25 

4.00 

45 

••5 

8  10 

4.29 

II 

•15 

54 

4.29 

38 

•13 

5? 

60.0 

32 

40 

4.29 

.  54 

•15 

24 

4.29 

20 

•15 

8     8 

4.29 

46 

•13 

58 

590 

33 

54 

4.29 

76     3 

•'5 

38 

4.29 

29 

•15 

22 

4.29 

54 

•15 

57 

58.0 

34 

9     8 

4.29 

12 

•17 

52 

4.29 

38 

.15 

36 

4.62 

77     3 

•15 

56 

57-0 

35 

22 

4.29 

22 

0.17 

9     6 

4.62 

47 

0.15 

49 

4.62 

12 

0.15 

55 

56.1 

36 

36 

4.29 

32 

•17 

19 

4.29 

56 

•17 

9     2 

4.62 

21 

.17 

54 

55-1 

37 

50 

4.29 

42 

•17 

33 

4.62 

77    6 

.17 

15 

4.62 

31 

•15 

53 

54-1 

38 

10     4 

4.29 

52 

•17 

46 

4.62 

16 

.17 

28 

4.62 

40 

••7 

52 

53-1 

39 

18 

4.62 

77     2 

.18 

59 

4.62 

26 

.18 

41 

4.62 

50 

.17 

51 

52.1 

40 

31 

4.62 

13 

0.18 

10  12 

4.62 

37 

0.17 

54 

$.00 

78     0 

0.18 

SO 

5I-I 

41 

44 

4.62 

24 

.18 

25 

4.62 

47 

.18 

10     6 

5.00 

II 

.17 

49 

50.1 

42 

57 

4.62 

35 

.18 

38 

5.00 

58 

.18 

18 

5.00 

21 

.18 

48 

49.1 

43 

II    10 

4.62 

46 

.20 

50 

5.00 

78     9 

.20 

30 

5.00 

32 

.18 

47 

48.1 

■11 

23 

S-oo 

5S 

.20 

II     2 

5.00 

21 

.iS 

42 

5.00 

43 

.18 

46 

47-1 

45 

35 

78  10 

14 

32 

54 

54 

45 

46.1 

a 

f^o' 

b 

A 

a 

Go' 

6 

A 

a 

60' 

h 

A_ 

a 

/ 

A 

60' 

A 

6(y 

A 

60' 

d  =  12 

°30' 

d  =  l 

4°0' 

rf  =  74°30' 

0.296 


0.287 


0.277 


[Page  301 


\b 

a  =  73°30' 

0  =  74"  0' 

a  =  74°  30' 

\  ^ 

V 

\  d 

60' 

\  t 

A 

\  d 

60' 

\  * 

A 

\  d 

6c/    "X     t 

A 

A 

b\ 

k\ 

A 

z\ 

60' 

h\ 

A 

Z\ 

60' 

h\ 

A       Z\ 

60' 

c\ 

^\ 

0 

0     / 

0      i 

0     / 

0      / 

0     / 

0      / 

0 

40.1 

45 

II   35 

5.00 

78  10 

0.20 

II  14 

5.00 

7%  32 

0.20 

10  54 

5-45 

78  54 

0.20 

45 

46 

47 

5.00 

22 

.20 

26 

5.00 

44 

.20 

II     5 

5-45 

79     6 

.18 

44 

45-1 

47 

59 

5.00 

34 

.22 

38 

5-45 

5^ 

.20 

16 

5-45 

17 

.20 

43 

44.1 

48 

12  II 

5.00 

47 

.22 

49 

5.45 

79     8 

•  22 

27 

5-45 

29 

.20 

42 

43.1 

49 

23 

5-45 

79     0 

.22 

12     0 

5-45 

21 

.20 

38 

5-45 

41 

.20 

41 

42.1 

50 

34 

5-45 

13 

0.22 

II 

5-45 

33 

0.22 

49 

6.00 

53 

0.22 

40 

41.1 

51 

45 

5-45 

26 

.23 

22 

5-45 

46 

.22 

59 

6.00 

80     6 

.22 

30 

40.1 

52 

56 

5-45 

40 

•23 

33 

6.00 

59 

.23 

12     9 

6.00 

19 

.22 

3« 

39-1 

53 

13     7 

6.00 

54 

.22 

43 

6.00 

80  13 

.22 

19 

6.00 

32 

.22 

31 

38.1 

54 

17 

6.00 

80     7 

.23 

53 

6.00 

26 

.23 

29 

6.00 

45 

.22 

36 

37.1 

55 

27 

6.00 

21 

0.25 

13     3 

6.00 

40 

0.23 

39 

6.67 

0     58 

0.22 

35 

36.1 

56 

37 

6.00 

36 

.23 

13 

6.67 

54 

•23 

48 

6.67 

8i    II 

.23 

34 

35-1 

57 

47 

6.67 

50 

•25 

22 

6.67 

81     8 

•23 

57 

6.67 

25 

.22 

33 

34-0 

58 

56 

6.67 

81     5 

•25 

31 

6.67 

22 

•23 

13     6 

6.67 

38 

•23 

32 

33-0 

59 

14     5 

6.67 

20 

.25 

40 

6.67 

36 

.23 

15 

7.50 

52 

.23 

31 

32.0 

60 

14 

6.67 

35 

0.25 

49 

7.50 

50 

0.25 

23 

7.50 

82     6 

0.23 

30 

31.0 

61 

23 

7.50 

50 

•25 

57 

7.50 

82     5 

•25 

31 

7.50 

20 

.25 

29 

30.0 

62 

31 

7.50 

82     5 

•2S 

14     5 

7-5° 

20 

•25 

39 

7.50 

35 

.23 

28 

29.0 

63 

39 

7.50 

20 

.27 

13 

7.50 

35 

.25 

47 

8.57 

49 

•25 

27 

27.9 

64 

47 

7.50 

36 

•27 

21 

8.57 

50 

•25 

54 

8.57 

83     4 

.25 

26 

26.9 

65 

55 

8.57 

52 

0.27 

28 

8.57 

83     5 

0.27 

14     I 

8.57 

19 

0.25 

25 

2S9 

66 

IS     2 

8.57 

83     8 

.27 

35 

8.57 

21 

•25 

8 

8.57 

34 

•25 

24 

24.9 

67 

9 

8.57 

24 

.27 

42 

8.57 

36 

•27 

15 

lO.O 

49 

•25 

23 

23.8 

68 

16 

8.57 

40 

.27 

49 

ro.o 

52 

.27 

21 

ro.o 

84     4 

.25 

22 

22.8 

69 

23 

lO.O 

56 

.28 

55 

lO.O 

84     8 

.27 

27 

1 0.0 

19 

•27 

21 

21.8 

70 

29 

1 0.0 

84  13 

0.27 

15     I 

lO.O 

24 

0.27 

33 

12.0 

35 

0.25 

20 

20.7 

71 

35 

12.0 

29 

.28 

7 

12.0 

40 

.27 

38 

12.0 

50 

.27 

iq  1 

19.7 

72 

40 

12.0 

46 

.28 

12 

12.0 

56 

.27 

43 

12.0 

85     6 

.27 

18 

18.7 

73 

45 

12.0 

85     3 

.28 

17 

12.0 

85   12 

.28 

48 

12.0 

22 

.27 

17 

17.6 

74 

50 

12.0 

20 

.28 

22 

12.0 

29 

.27 

53 

12.0 

38 

•27 

16 

16.6 

75 

55 

12.0 

37 

0.28 

27 

15.0 

45 

0.28 

58 

15.0 

.  54 

0.27 

15 

15-6 

76 

16    0 

15.0 

54 

.28 

31 

15.0 

86     2 

.28 

15     2 

15.0 

86  10 

•27 

14 

14-5 

77 

4 

15.0 

86  II 

.28 

3S 

15.0 

19 

.27 

6 

20.0 

26 

.27 

13 

13-5 

78 

8 

20.0 

28 

.30 

39 

20.0 

35 

.28 

9 

20.0 

42 

•27 

12 

12.5 

79 

II 

20.0 

46 

.28 

42 

20.0 

52 

.28 

12 

20.0 

58 

•27 

II 

11.4 

80 

14 

20.0 

87     3 

0.30 

45 

20.0 

87     9 

0,28 

15 

20.0 

87   14 

0.28 

10 

10.4 

81 

17 

20.0 

21 

.28 

48 

20.0 

26 

.28 

18 

20.0 

31 

,27 

9 

9.4 

82 

20 

30.0 

38 

•30 

51 

30.0 

43 

.28 

21 

30.0 

47 

.28 

8 

8-3 

83 

22 

30.0 

56 

.28 

53 

30.0 

88     0 

.28 

23 

30.0 

88     4 

.27 

7 

^3 

84 

24 

30.0 

88  13 

.30 

55 

60.0 

17 

.28 

25 

30.0 

20 

.28 

6 

6.2 

85 

26 

60.0 

31 

0.30 

56 

60.0 

34 

0.28 

27 

60.0 

37 

0.27 

5 

5-2 

86 

27 

60.0 

49 

.30 

57 

60.0 

51 

.28 

28 

60.0 

53 

.28 

4 

4.2 

87 

28 

60.0 

89     7 

.28 

58 

60.0 

89     8 

•30 

29 

60.0 

89  10 

.28 

3 

3-1 

88 

29 

60.0 

24 

.30 

59 

60.0 

26 

.28 

30 

— 

27 

•27 

2 

2.1 

89 

30 

— 

42 

.30 

16    0 

— 

43 

.28 

30 

— 

>    43 

.28 

I 

I.O 

90 

30 

90     0 

0 

90     0 

30 

90     0 

0 

0.0 

6c/ 

5 

A 

6c/ 

6 

A 

60' 

6 

A 

a 

a 

a 

a 

t 

^                 1 

6c/ 

A 

6c/ 

A 

6c/ 

d  =  13°30' 

d  =  74°0' 

(i  =  74°30' 

Page 

302] 

0.268 

0.. 

259 

0249 

\b 

a  =  75°0' 

a  =  75°  30' 

a  =  76°  C 

\ 

V 

\  d 

60' 

\  f 

A 

\d 

r,o' 

\  t 

A 

\   rf    60^ 

\  * 

A 

\ 

b\ 

h\ 

A 

z\ 

60' 

*    \ 

A 

z\ 

6(y 

Ax.      A 

z\ 

60' 

^\ 

o 

0     / 

0       / 

0     / 

0      / 

0       / 

9      ' 

0 

0 

0    0 

3-75 

75     0 

0.00 

0    0 

4.00 

75  30 

0.00 

0     0 

4.00 

76     0 

0,00 

90 

90.0 

I 

16 

4.00 

0 

.02 

15 

4.00 

30 

.02 

15 

4.29 

0 

.00 

89 

89.0 

2 

31 

3.75 

I 

.00 

30 

4.00 

31 

.00 

29 

4.00 

0 

.02 

88 

88.1 

3 

47 

4.00 

I 

.02 

45 

4.00 

31 

.02 

44 

4.29 

I 

.02 

^7 

87.1 

4 

I     2 

3-75 

2 

.02 

I     0 

4.00 

32 

.02 

58 

4.00 

2 

.02 

86 

86.1 

5 

18 

4.00 

3 

0.03 

15 

4.00 

33 

0.02 

I    13 

4.29 

3 

0.02 

85 

85.2 

6 

33 

3-75 

5 

.02 

30 

4.00 

34 

.03 

27 

4.29 

4 

.03 

^ 

84.2 

7 

49 

4,00 

6 

•03 

45 

4.00 

36 

.03 

41 

4.00 

6 

.03 

83 

83.2 

8 

2     4 

4.00 

8 

.03 

2     0 

4.00 

38 

.03 

56 

4.29 

8 

•03 

82 

82.3 

9 

19 

3-75 

10 

.05 

15 

4.00 

40 

•05 

2    10 

4.00 

10 

•03 

81 

81.3 

10 

35 

4.00 

13 

0.05 

30 

4.29 

43 

0.03 

25 

4.29 

12 

0,05 

80 

80.3 

I  I 

50 

4.00 

16 

•05 

44 

4.00 

45 

•05 

39 

4.29 

15 

.05 

79 

79-3 

12 

3     5 

4.00 

19 

.05 

59 

4.00 

48 

.05 

53 

4.29 

18 

.05 

78 

78.4 

13 

20 

4.00 

22 

.05 

3  14 

4.29 

51 

.07 

3     7 

4.29 

21 

.05 

77 

77-4 

14 

35 

4.00 

25 

.07 

28 

4.00 

55 

•05 

21 

4.29 

24 

•05 

76 

76.4 

IS 

50 

4.00 

29 

0.07 

43 

4.29 

58 

0.07 

35 

4.29 

27 

0.07 

75 

75-5 

i6 

4     5 

4.00 

33 

.08 

57 

4.00 

76    2 

.08 

49 

4.29 

31 

.07 

74 

74-5 

^7 

20 

4.00 

38 

.07 

4  12 

4.29 

7 

.07 

4     3 

4.29 

35 

.08 

73 

73-5 

i8 

35 

4.00 

42 

.08 

26 

4.00 

II 

.08 

17 

4.29 

40 

.07 

72 

725 

19 

50 

4.00 

47 

.08 

41 

4.29 

16 

.07 

31 

4.29 

44 

.08 

71 

71.6 

20 

5     5 

4.29 

52 

0.08 

55 

4.29 

20 

0.08 

45 

4.29 

49 

0.08 

70 

70.6 

21 

19 

4.00 

57 

.10 

5     9 

4.29 

25 

.10 

59 

4.62 

54 

.08 

69 

69.6 

22 

34 

4.29 

76     3 

.10 

23 

4.29 

31 

.10 

5   12 

4.29 

59 

.08 

68 

68.6 

^3 

.4^ 

4.00 

9 

.10 

37 

4.29 

37 

.10 

26 

4.62 

77     4 

.10 

fl 

67.7 

24 

6     3 

4.29 

15 

.10 

51 

4.62 

43 

.10 

39 

4.62 

10 

.10 

66 

66.7 

25 

17 

4.29 

21 

0. 10 

6     4 

4.29 

49 

0.  lO 

.  52 

4.62 

16 

0. 10 

^5 

65.7 

26 

31 

4.29 

27 

•  12 

18 

4.29 

55 

.10 

6     5 

4.62 

22 

.10 

64 

64.7 

27 

45 

4.29 

34 

.12 

32 

4.62 

77     I 

.12 

18 

4.62 

28 

.12 

P 

637 

28 

59 

4.29 

41 

.12 

45 

4.62 

8 

.12 

31 

4.62 

35 

.12 

62 

62.8 

29 

7  13 

4.62 

48 

.13 

58 

4.62 

IS 

.12 

44 

4.62 

42 

.12 

61 

61.8 

30 

26 

4.29 

56 

0.13 

7  II 

4.62 

22 

0.13 

57 

4.62 

49 

0.12 

60 

60.8 

31 

40 

4,62 

77     4 

.13 

24 

4.62 

30 

.13 

7  10 

5.00 

56 

•13 

52 

59-8 

32 

0  53 

4.62 

12 

•13 

37 

4.62 

38 

.13 

22 

5.00 

78     4 

.12 

58 

58.8 

33 

8     6 

4.62 

20 

.13 

50 

4.62 

46 

.13 

34 

5.00 

II 

•■3 

57 

57-8 

34 

19 

4,62 

28 

•15 

8     3 

4.62 

54 

•13 

46 

5.00 

19 

•13 

56 

56-9 

35 

32 

4.62 

37 

0.15 

16 

5.00 

78     2 

0.15 

0  58 

5.00 

27 

0.15 

55 

55-9 

36 

45 

4.62 

46 

•15 

28 

5.00 

11 

•IS 

8  10 

5.00 

36 

•«3 

54 

54-9 

37 

58 

5.00 

0  55 

•15 

40 

5.00 

20 

.15 

22 

5.00 

44 

•15 

53 

53-9 

^8 

9  10 

5.00 

78     4 

.17 

52 

5.00 

29 

•15 

34 

5.00 

53 

••5 

52 

529 

39 

22 

5.00 

14 

•'7 

9     4 

5.00 

38 

•15 

46 

5-45 

79     2 

.>s 

51 

51-9 

40 

34 

5.00 

24 

0,17 

16 

5-45 

47 

0.17 

57 

5-45 

II 

0.17 

50 

509 

41 

46 

5.00 

34 

.17 

27 

5.00 

57 

•'7 

9     8 

S-45 

21 

•'5 

-^^ 

40.9 

42 

58 

5.00 

44 

.18 

39 

5-45 

79     7 

•17 

19 

5-45 

30 

•17 

48 

48.9 

43 

10  10 

5.00 

55 

•17 

50 

5-45 

17 

.18 

30 

5-45 

40 

•'7 

"^l 

47-9 

44 

22 

5-45 

79     5 

.18 

10     I 

5-45 

28 

•17 

41 

6,00 

50 

••7 

^6 

46.9 

45 

33 

16 

12 

38 

51 

80     0 

45 

45-9 

a 

6(y 

b 

A 

a 

60' 

b 

A 

a 

60' 

b 

A 

a 

t 

A 

6c/ 

A 

60' 

A 

60' 

^  =  7 

5°0' 

fZ  =  75°  30' 

d  =  l 

6°  0' 

0.268 


0.259 


0  249 


[Page  303 


\ 

a  =  75° 

0' 

a  -  75°  30' 

a  =  76°0' 

c\ 

\  * 

\  d    60' 

\ 

t 

A_ 

\d 

60' 

\   t 

A 

\c? 

60' 

\.     t 

A 

\ 

A 

aX^  t 

z 

\ 

60' 

A  \ 

A 

z\ 

60' 

/t  \ 

A 

Z\ 

60' 

^\ 

o 

0      / 

0 

/ 

0     / 

0        / 

0     / 

„o       ' 

„ 

0 

45 

10  53 

5-45 

79 

16 

0.18 

10  12 

5-45 

79  38 

0.18 

9  51 

6.00 

80     0 

0.17 

45 

45-9 

40 

44 

5-45 

27 

.20 

23 

6.00 

49 

.18 

10    I 

6.00 

10 

.18 

44 

44.9 

47 

55 

5-45 

39 

.18 

33 

6.00 

80     0 

.18 

1 1 

6.00 

21 

.18 

43 

43-9 

48 

II     6 

6.00 

50 

.20 

43 

6.00 

II 

.iS 

21 

6.00 

32 

.18 

42 

42.9 

49 

16 

6.00 

80 

2 

.20 

53 

6.00 

22 

.20 

31 

6.00 

43 

.18 

41 

41.9 

50 

26 

6.00 

14 

0.20 

II     3 

6.00 

34 

o.i8 

41 

6.67 

0     54 

0.18 

40 

40.9 

51 

36 

6.00 

26 

.20 

13 

6.00 

45 

.20 

50 

6.67 

81      5 

.18 

39 

39-9 

52 

46 

6.00 

38 

.20 

23 

6.67 

57 

.20 

59 

6.67 

16 

.20 

38 

38.9 

53 

56 

6.67 

50 

.22 

32 

6.67 

81     9 

.20 

II     8 

6.67 

28 

.20 

37 

37-9 

54 

12     5 

6.67 

81 

3 

.22 

41 

6.67 

21 

.22 

17 

6.67 

40 

.20 

36 

36.9 

55 

14 

6.67 

16 

0.22 

50 

6.67 

H 

0.20 

26 

7.50 

0     52 

0.20 

35 

35-9 

^6 

23 

6.67 

29 

.22 

59 

7.50 

46 

.22 

34 

7.50 

82     4 

.20 

34 

34-9 

57 

32 

6.67 

42 

.22 

12     7 

7.50 

0     59 

.22 

42 

7.50 

16 

.20 

33 

33-9 

58 

41 

7.50 

55 

•23 

15 

7.50 

82  12 

.22 

50 

7.50 

28 

.22 

32 

32.8 

59 

49 

7.50 

82 

9 

.22 

23 

7.50 

25 

.22 

58 

7-5° 

41 

.22 

31 

31.8 

6o 

57 

7.50 

22 

0.23 

31 

7.50 

38 

0.22 

12     6 

8.57 

0     54 

0.22 

30 

30.8 

6i 

13     5 

7.50 

36 

.23 

39 

8.57 

51 

•23 

13 

8.57 

83     7 

.22 

29 

29.8 

62 

13 

8.57 

50 

.23 

46 

8.57 

83     5 

.22 

20 

8.57 

20 

.22 

28 

28.8 

f3 

20 

8.57 

83 

4 

.23 

53 

8.57 

18 

•23 

27 

^•57 

33 

.22 

27 

27.8 

64 

27 

8.57 

18 

•23 

13     0 

8.57 

32 

•23 

34 

lO.O 

46 

.22 

26 

26.7 

65 

34 

8.57 

32 

0.25 

7 

lO.O 

46 

0.23 

40 

lO.O 

o     59 

0.22 

25 

257 

66 

41 

lO.O 

47 

.23 

13 

lO.O 

84    0 

.23 

46 

1 0.0 

84  12 

•23 

24 

24.7 

67 

47 

lO.O 

84 

I 

•25 

19 

lO.O 

14 

•23 

52 

1 0.0 

26 

•23 

23 

237 

68 

53 

ICO 

16 

•25 

25 

lO.O 

28 

.23 

58 

12.0 

40 

•23 

22 

22.7 

69 

59 

lO.O 

31 

•25 

31 

12.0 

42 

•25 

13     3 

12.0 

54 

•23 

21 

21.6 

70 

14     5 

12.0 

46 

0.25 

36 

12.0 

0     57 

0.23 

8 

12.0 

85     8 

0.23 

20 

20.6 

71 

10 

12.0 

85 

I 

•25 

41 

12.0 

85  II 

•25 

13 

12.0 

22 

•23 

19 

19.6 

72 

15 

12.0 

16 

.25 

46 

12.0 

26 

.23 

18 

12.0 

36 

•23 

18 

18.6 

73 

20 

12.0 

31 

•27 

51 

12.0 

40 

•25 

23 

15.0 

0.  50 

•23 

17 

17-5 

74 

25 

15.0 

47 

•25 

56 

15.0 

55 

•25 

27 

15.0 

86     4 

.23 

16 

16.5 

75 

29 

15.0 

86 

2 

0.25 

14     0 

15.0 

86  10 

0.25 

31 

15.0 

18 

0.25 

15 

15-5 

76 

33 

15.0 

17 

•  27 

4 

20.0 

25 

•25 

^^ 

20.0 

33 

•23 

14 

14.4 

77 

37 

20.0 

33 

•27 

7 

20.0 

40 

•25 

38 

20.0 

47 

•25 

13 

13-4 

78 

40 

20.0 

49 

■25 

10 

20.0 

55 

•25 

41 

20.0 

87     2 

•25 

12 

12.4 

79 

43 

20.0 

87 

4 

•27 

13 

20.0 

87  10 

•27 

44 

20.0 

17 

.23 

II 

11.4 

80 

46 

20.0 

20 

0.27 

16 

20.0 

26 

0.25 

47 

20.0 

3i 

0.25 

10 

10.3 

81 

49 

30.0 

36 

•  27 

19 

30.0 

41 

•25 

50 

30.0 

46 

•25 

i 

9-3 

82 

51 

30.0 

52 

.27 

21 

30.0 

56 

•27 

52 

30.0 

88     I 

•23 

8.3 

83 

53 

30.0 

88 

8 

.27 

23 

30.0 

88  12 

•25 

54 

30.C 

15 

•25 

I 

7.2 

84 

55 

30.0 

24 

.27 

25 

30.0 

27 

•25 

56 

60.0 

30 

•25 

6 

6.2 

85 

57 

60.0 

40 

0.27 

27 

60.0 

42 

0.27 

57 

60.0 

45 

0.25 

5 

5-2 

86 

58 

60.0 

56 

•  27 

28 

60.0 

58 

•25 

58 

60.0 

89     0 

•25 

4 

4.1 

87 

59 

60.0 

89 

12 

.27 

29 

60.0 

89  13 

•27 

59 

60.0 

15 

•25 

I 

31 

88 

15     0 

— 

28 

•  27 

30 

— 

29 

•25 

14     0 



30 

.25 

^  \ 

2.1 

89 

0 

— 

44 

.27 

30 

— 

44 

•27 

0 



45 

•25 

I  : 

I.O 

90 

0 

90 

0 

30 

90     0 

0 

90     0 

0 

0.0 

a 

60' 

b 

_A^ 

a 

60' 

h 

A 

a 

60' 

& 

A 

1 

a 

t 

A 

6c/ 

A 

60' 

A 

60' 

^  =  75^0' 

d  =  75°  SO' 

d  =  76°  0' 

Page  304] 

0 

.240 

0.231 

0.222 

iv 

a  =  76°  30' 

a  =  77°0' 

a  =  77°  30' 

^ 

\  * 

\  d 

60' 

\  * 

A 

\d 

60' 

\  i 

A^ 

\<f 

6c/ 

\  t 

A 

A 

A 

h\ 

A 

z\ 

60' 

*    \ 

A 

^\ 

60' 

A  \ 

A 

Z\ 

60' 

^\ 

o 

0     / 

0       / 

0    / 

0     / 

0     / 

0    / 

Q 

0 

0 

0    0 

4.29 

76  30 

0.00 

0    0 

4.29 

77     0 

0.00 

0    0 

4.62 

77   30 

0.00 

§° 

90.0 

I 

14 

4.29 

30 

.00 

14 

4.62 

0 

.00 

13 

4.62 

30 

.00 

89 

89.0 

2 

28 

4.29 

30 

.02 

27 

4.29 

0 

.02 

26 

4.62 

30 

.02 

88 

88.1 

3 

42 

4.29 

31 

.02 

41 

4.62 

I 

.02 

39 

4.62 

31 

.02 

fz 

87.1 

4 

56 

4.29 

32 

.02 

54 

4.62 

2 

.02 

52 

4.62 

32 

.02 

86 

86.1 

5 

I  10 

4.29 

33 

0.02 

I     7 

4.29 

3 

0.02 

I     5 

4.62 

33 

0.02 

fs 

85.1 

6 

24 

4.29 

^i 

•03 

21 

4.62 

4 

.03 

18 

4.62 

34 

.02 

^4 

84.2 

7 

38 

4.29 

36 

.03 

34 

4.29 

6 

.02 

31 

4.62 

35 

•03 

?3 

83.2 

8 

5| 

4.29 

38 

.03 

48 

4,62 

7 

•03 

44 

5.00 

37 

•03 

82 

82.2 

9 

2     6 

4.62 

40 

.03 

2     I 

4.62 

9 

•03 

56 

4.62 

39 

•03 

81 

81.2 

10 

19 

4.29 

42 

0.03 

14 

4.29 

II 

0.05 

2     9 

4.62 

41 

0.03 

80 

80.3 

II 

33 

4.29 

44 

.05 

28 

4.62 

14 

.03 

22 

4.62 

43 

•05 

79 

79-3 

12 

47 

4.29 

47 

•OS 

41 

4.62 

16 

.05 

35 

5.00 

46 

.05 

78 

78.3 

U 

3     I 

4.62 

50 

•OS 

54 

4.62 

19 

.05 

47 

4.62 

49 

.05 

77 

77^3 

14 

14 

4.29 

53 

.07 

3     7 

4.62 

22 

.07 

3     0 

4.62 

52 

•OS 

76 

76.3 

15 

28 

4.29 

57 

0.05 

20 

4.62 

26 

0.05 

13 

5.00 

55 

0,05 

75 

75-4 

i6 

42 

4.62 

77     0 

.07 

33 

4.62 

29 

•07 

25 

4.62 

58 

.07 

74 

74-4 

17 

55 

4.62 

4 

.07 

46 

4.62 

33 

.07 

38 

5.00 

78     2 

•07 

73 

73-4 

i8 

4     8 

4.29 

8 

.08 

59 

4.62 

37 

.07 

50 

5.00 

6 

.07 

72 

72.4 

19 

22 

4.62 

13 

.07 

4  12 

4.62 

41 

.07 

4     2 

4.62 

10 

.07 

71 

7i^5 

20 

35 

4.62 

17 

0.08 

25 

5.00 

45 

0.08 

15 

5.00 

14 

0.07 

70 

70^5 

21 

48 

4.62 

22 

.08 

37 

4.62 

50 

.08 

27 

5.00 

18 

.08 

fe 

69s 

22 

5     I 

4.62 

27 

.08 

50 

4.62 

55 

.08 

39 

5.00- 

23 

.oS 

68 

68.5 

23 

14 

4.62 

H 

.  10 

5     3 

5.00 

78     0 

,08 

51 

<;.oo 

28 

.08 

P. 

67-5 

24 

27 

4.62 

38 

.10 

15 

5.00 

5 

.10 

5     3 

5.00 

33 

.08 

66 

66.5 

25 

40 

4.62 

44 

0. 10 

27 

5.00 

II 

0.  10 

15 

5.00 

38 

0. 10 

^5 

65^6 

26 

.  53 

5.00 

50 

.10 

39 

5.00 

17 

.10 

27 

5-4S 

44 

.  10 

64 

64.6 

27 

6     5 

4.62 

56 

.10 

51 

5.00 

23 

.10 

38 

5.00 

50 

.IC 

^3 

63.6 

28 

18 

5.00 

78     2 

.10 

6     3 

5.00 

29 

.10 

50 

5.00 

56 

.10 

62 

62.6 

29 

30 

5  00 

8 

.12 

15 

5.00 

35 

.10 

6     2 

5-4S 

79     2 

.10 

61 

61.6 

30 

42 

5.00 

15 

0.12 

27 

5.00 

41 

0.12 

13 

5-45 

8 

0. 10 

60 

60.6 

^I 

^i 

5.00 

22 

•13 

39 

5.00 

48 

.12 

24 

S-45 

14 

.  12 

^i 

59-7 

32 

7     6 

5.00 

30 

.12 

51 

5^4S 

55 

•13 

35 

$•45 

21 

.12 

58 

58.7 

33 

18 

5.00 

37 

.13 

7     2 

5.00 

79     3 

.12 

46 

$•45 

28 

.12 

5Z 

57-7 

34 

30 

5.00 

45 

.12 

14 

S^4S 

10 

.12 

57 

$•45 

35 

.12 

56 

56-7 

35 

42 

5-45 

52 

0.13 

^1 

5^45 

17 

0.13 

7     8 

5.4s 

42 

0.13 

55 

55-7 

36 

0   53 

5.00 

79     0 

•15 

36 

S-45 

25 

•13 

19 

6.00 

5° 

.13 

54 

54^7 

^'7 

8     5 

5-45 

9 

•13 

47 

$•45 

33 

.13 

29 

5-4S 

58 

.12 

53 

537 

38 

16 

5.45 

17 

.15 

58 

6.00 

41 

.15 

40 

6.00 

80     5 

•13 

52 

527 

39 

27 

5-45 

26 

•15 

8     8 

$•45 

50 

•13 

50 

6.00 

13 

•IS 

51 

51-7 

40 

38 

5-45 

35 

0.15 

19 

6.00 

58 

0.15 

8     0 

6.00 

22 

0.13 

50 

507 

41 

49 

6.00 

44 

•IS 

29 

6.00 

80     7 

•15 

10 

6.00 

30 

•IS 

42 

49^7 

42 

59 

5-45 

0     53 

•IS 

39 

6.00 

16 

•IS 

20 

6.67 

39 

•  13 

48 

48.7 

43 

9  10 

6.00 

80     2 

.'7 

49 

6.00 

25 

•15 

29 

6.00 

47 

•  IS 

^Z 

47^7 

44 

20 

6.00 

12 

.17 

59 

6.00 

34 

•15 

39 

6.67 

56 

•IS 

46 

46.7 

45 

30 

22 

9     9 

43 

48 

81      5 

45 

4S7 

a 

6c/ 

h 

A 

a 

6c/ 

b 

A_ 

a 

60' 

b 

A 

a 

/ 

A 

60' 

A 

60' 

"a 

6cy 

d  =  76°  30' 

d  =  7 

70    Q, 

d  =  lT  ZO' 

0 

240 

0231 

C.222 

[Page  305 

\b 

a  =  76°  30' 

a  =  lTO' 

a  =  77°  30' 

V 

\  * 

\d 

60' 

\     t 

A 

\^d  60' 

\ 

i 

_A 

\  d 

60' 

\.      t 

A 

\ 

b\ 

A\ 

A 

z\ 

60' 

h    \^^    A 

z 

\ 

60' 

^     \ 

A 

z\ 

ecy 

A 

/3\ 

o 

0     / 

0  .     1 

0     / 

0 

1 

8  4^ 

0      / 

1 

0 

45 

9  30 

6.00 

3o  22 

0.17 

9     9 

6.00 

80 

43 

0.17 

6.67 

81     5 

0..7 

45 

45-7 

40 

40 

5.00 

32 

• '  7 

19 

6.67 

53 

.'7 

57 

6.67 

15 

•  ■5 

44 

44-7 

47 

50 

6.00 

42 

.  1  - 

28 

6.67 

81 

3 

•'7 

9     6 

6.67 

24 

•>7 

43 

43-7 

48 

10     0 

6.67 

52 

.18 

37 

6.67 

13 

•17 

15 

6.67 

34 

•«5 

42 

42.7 

49 

9 

6.67 

81     3 

.18 

46 

6.67 

23 

••7 

24 

6.67 

43 

•'7 

41 

41.7 

SO 

18 

6.67 

14 

0.18 

55 

6.67 

33 

0.18 

33 

7.50 

0     53 

0.17 

40 

40.7 

31 

27 

6.67 

25 

.iS 

10     4 

6.67 

44 

.18 

41 

7.50 

82      3 

.18 

39 

39-7 

52 

36 

6.67 

36 

.18 

13 

7.50 

55 

.18 

49 

7.50 

14 

•'7 

38 

38.7 

53 

45 

7.50 

47 

.18 

21 

7-5° 

82 

6 

.18 

57 

7.50 

24 

.18 

37 

37-7 

54 

S3 

7-5° 

58 

.iS 

29 

7.50 

17 

.18 

10     5 

7-5° 

35 

•17 

36 

36.7 

55 

1 1      I 

7.50 

82     9 

0.20 

37 

7.50 

28 

0.18 

13 

8.57 

45 

0.18 

35 

35-7 

56 

9 

7.50 

21 

.20 

45 

7.50 

39 

.18 

20 

8.57 

56 

.18 

34 

34-7 

57 

17 

7-5° 

33 

.20 

53 

8.57 

50 

,18 

27 

8.57 

^3     I 

.18 

33 

33-7 

58 

25 

7.50 

45 

.20 

II     0 

8.57 

83 

I 

.20 

34 

8.57 

18 

.18 

32 

32.7 

59 

33 

8.57 

57 

.20 

7 

8.57 

13 

.20 

41 

8.57 

29 

.18 

31 

317 

60 

40 

8.57 

83     9 

0.22 

14 

8.57 

25 

0.20 

48 

8.57 

40 

0.20 

30 

30.6 

61 

47 

8.57 

22 

.20 

21 

8.57 

37 

.20 

55 

lO.O 

52 

.18 

29 

29.6 

63 

54 

8.57 

34 

.22 

28 

lO.O 

49 

.20 

1 1     I 

lO.O 

84     3 

.20 

28 

28.6 

63 

12     I 

lO.O 

47 

.2C 

34 

lO.O 

84 

I 

.20 

7 

lO.O 

15 

.20 

27 

27.6 

64 

7 

lO.O 

59 

.22 

40 

lO.O 

13 

.20 

13 

lO.O 

27 

.20 

26 

26.6 

65 

13 

1 0.0 

84   12 

0.22 

46 

lO.O 

25 

0.22 

19 

12.0 

39 

0.20 

25 

25.6 

66 

19 

1 0.0 

25 

.22 

52 

12.0 

38 

.22 

24 

12.0 

51 

.20 

24 

24.6 

67 

25 

12.0 

38 

•23 

57 

12.0 

51 

.20 

29 

12.0 

85     3 

.20 

23 

23s 

68 

30 

12.0 

52 

.22 

12     2 

12.0 

85 

3 

.22 

34 

12.0 

15 

.20 

22 

22.5 

69 

35 

12.0 

85     5 

.22 

7 

12.0 

16 

.22 

39 

12.0 

27 

.22 

21 

21.5 

70 

40 

12.0 

18 

0.23 

12 

12.0 

29 

0.22 

44 

12.0 

40 

0.20 

20 

20.5 

71 

45 

12.0 

32 

,22 

17 

15.0 

42 

.22 

49 

15.0 

0.  52 

.22 

19 

195 

72 

50 

15.0 

45 

•  23 

21 

15.0 

55 

.22 

53 

15.0 

86     5 

.20 

18 

18.4 

73 

54 

15.0 

59 

•~3 

25 

15.0 

86 

8 

•23 

57 

15.0 

17 

.22 

17 

17.4 

74 

58 

15.0 

86  13 

•23 

29 

15.0 

22 

.22 

12     I 

20.0 

30 

.22 

16 

16.4 

75 

13     2 

15.0 

27 

0.23 

33 

15.0 

35 

0.22 

4 

20.0 

4J 

0.22 

15 

15-4 

76 

6 

20.0 

41 

.23 

37 

20.0 

48 

•23 

7 

20.0 

56 

.22 

14 

14.4 

77 

9 

20.0 

55 

.23 

40 

20.0 

87 

2 

.22 

10 

20.0 

87     9 

.22 

13 

13.3 

78 

12 

20.0 

87     9 

•23 

43 

20.0 

15 

•23 

13 

20.0 

22 

.22 

12 

12.3 

79 

15 

20.0 

23 

•23 

46 

30.0 

29 

.22 

16 

30.0 

35 

.22 

II 

"•3 

80 

18 

30.0 

37 

0.23 

48 

30.0 

42 

0.23 

18 

30.0 

48 

0.22 

10 

10.3 

81 

20 

30.0 

51 

•  23 

50 

30.0 

56 

•  23 

20 

30.0 

88     I 

.22 

9 

9.2 

82 

22 

30.0 

88     5 

•23 

52 

30.0 

88 

10 

.22 

22 

30.0 

14 

.22 

8 

8.2 

83 

24 

30.0 

19 

.25 

54 

30.0 

23 

.23 

24 

30.0 

27 

.22 

I 

7.2 

84 

26 

60.0 

34 

•23 

56 

60.0 

37 

•23 

26 

60.0 

40 

•23 

6 

6.2 

85 

27 

60.0 

48 

0.23 

57 

60.0 

51 

0.23 

27 

60.0 

0     54 

0.22 

5 

5-1 

86 

28 

60.0 

89     2 

.2s 

58 

60.0 

89 

5 

.22 

28 

60.0 

89     7 

.22 

4 

4.1 

87 

2Q 

60.C 

17 

.23 

59 

60.0 

18 

•23 

29 

60.0 

20 

.22 

3 

3-1 

88 

30 

— 

31 

■23 

13     0 

— 

3^ 

•23 

30 



33 

.23 

2 

2.1 

89 

30 

— 

45 

•  2f 

0 

— 

46 

•23 

30 



47 

.22 

I 

I.O 

90 

30 

';.':)      0 

0 

90 

0 

30 

90     0 

0 

0.0 

a 

60' 

b 

A 

a 

60^ 

h 

A 

a 

60' 

I 

A 

a 

t 

A 

6<y 

A 

6(y 

A 

60' 

^  =  76°  30' 

d=^lT 

0' 

d  =  lTZO' 

'-^ 

55oni°^is 20 


Page 

306] 

0.213 

0.203 

0.194 

\b 

a  =  78=0' 

a  =  78°  30' 

a  =  79°0' 

\' 

\  * 

\  d 

60' 

\  * 

A 

\  d 

6ry 

\  t 

A 

\  d 

6c/ 

\  ' 

_A 

^\ 

b\ 

h\ 

A 

z\ 

60' 

h\ 

A 

z\ 

6cy 

A  \ 

A 

z\ 

60' 

c\ 

o 

0    / 

0       / 

0    / 

0       / 

0     / 

0       / 

0 

0 

0 

0    0 

5.00 

78    0 

0.00 

0    0 

5.00 

78  30 

0.00 

0    0 

5-45 

79     0 

0.00 

?° 

90.0 

I 

12 

4.62 

0 

.00 

12 

5.00 

30 

.00 

1 1 

5.00 

0 

.oc 

89 

89.0 

2 

25 

5.00 

0 

.02 

24 

5.00 

30 

.02 

23 

5-45 

0 

.02 

88 

88.0 

3 

37 

4.62 

I 

.02 

36 

5.00 

31 

.02 

34 

5.00 

I 

.02 

87 

87.1 

4 

50 

5.00 

2 

.02 

48 

5.00 

32 

.02 

46 

5-45 

2 

.02 

86 

86. 1 

5 

I      2 

4.62 

3 

0.02 

I    0 

5.00 

33 

0.02 

57 

5.00 

3 

0.02 

l^ 

85.1 

6 

15 

i;.oo 

4 

.02 

12 

5.00 

34 

.02 

I     9 

5-45 

4 

.02 

?4 

84.1 

7 

27 

5.00 

5 

•03 

24 

5-45 

35 

•03 

20 

5-45 

5 

.02 

f3 

83.1 

8 

39 

4.62 

7 

•03 

35 

5.00 

^l 

.02 

31 

5.00 

6 

•03 

82 

82.2 

9 

52 

5.00 

9 

.03 

47 

5.00 

38 

.03 

43 

5-45 

8 

.03 

81 

81.2 

10 

2     4 

4.62 

II 

0.03 

59 

5.00 

40 

0.03 

54 

5-45 

10 

0.03 

80 

80. 2 

II 

17 

5.00 

13 

•03 

2  II 

5.00 

42 

.05 

2     5 

S-45 

12 

•03 

79 

79.2 

12 

29 

5.00 

15 

•05 

23 

5-4S 

45 

.03 

16 

5.00 

14 

•03 

78 

78.2 

13 

41 

5.00 

18 

•05 

34 

5.00 

47 

•°s 

28 

5-45 

16 

•05 

^Z 

77-3 

14 

53 

5.00 

21 

.05 

46 

5.CX5 

50 

.05 

39 

5-45 

19 

.05 

76 

76.3 

15 

3     5 

5.00 

24 

0.05 

58 

5-45 

53 

0.05 

50 

S-4S 

22 

0.05 

75 

75-3 

i6 

17 

5.00 

27 

.05 

3     9 

5.00 

56 

.05 

3     I 

5-45 

25 

.05 

74 

74-3 

17 

29 

5.00 

30 

.07 

21 

5-45 

59 

.07 

12 

5-45 

28 

.05 

73 

73-3 

i8 

41 

5.00 

34 

.07 

32 

S.45 

79     3 

.07 

23 

5-45 

31 

.07 

72 

72.3 

19 

53 

5.00 

38 

.07 

43 

5.00 

7 

.07 

34 

5-45 

35 

.07 

71 

71.4 

20 

4     5 

5.00 

42 

0.07 

55 

5-45 

II 

0.07 

45 

6.00 

39 

0.07 

^° 

70.4 

21 

17 

5-45 

46 

.08 

4     6 

5-45 

15 

.07 

55 

S-4S 

43 

.07 

6q 

69.4 

22 

28 

5.00 

51 

.08 

17 

5-4S 

19 

.08 

4     6 

5-45 

47 

.07 

68 

68.4 

23 

40 

5-45 

56 

.08 

28 

5-45 

24 

.07 

17 

6.00 

51 

.08 

67 

67.4 

24 

51 

5.00 

79     I 

.08 

39 

5-45 

28 

.08 

27 

5-45 

56 

.08 

66 

66.4 

25 

5     3 

5-45 

6 

0.08 

50 

5-45 

33 

0.08 

38 

6.00 

80      I 

0.08 

5s 

6S4 

26 

14 

5-45 

II 

.oS 

5      I 

5-45 

38 

.08 

48 

6.00 

6 

.08 

^4 

64.5 

27 

25 

5-4  5 

16 

.10 

12 

6.00 

43 

.10 

58 

6.00 

II 

.08 

^3 

63s 

28 

56 

5-45 

22 

.10 

22 

5-45 

49 

.08 

5     8 

0.00 

16 

.08 

62 

62.S 

29 

47 

5-45 

28 

.  10 

13 

6.00 

54 

•  lO 

18 

6.00 

21 

.10 

61 

61.5 

30 

58 

5.45 

34 

0. 10 

43 

5-45 

80     0 

0. 10 

28 

6.00 

27 

0. 10 

60 

60.S 

31 

6     9 

5-45 

40 

.12 

54 

6.00 

6 

.10 

38 

6.00 

33 

.10 

59 

59-5 

32 

20 

6.00 

47 

.12 

6     4 

6.00 

12 

.12 

48 

6.00 

39 

.10 

58 

58.5 

33 

30- 

5-45 

54 

.12 

14 

6.00 

19 

.10 

58 

6.00 

45 

.10 

51 

575 

34 

41 

6.00 

80      I 

.12 

24 

6.00 

25 

.12 

6     8 

6.67 

51 

.10 

56 

56.S 

35 

SI 

6.00 

8 

0.12 

34 

6.00 

32 

0.12 

17 

6.00 

57 

0.12 

55 

55-5 

36 

7      I 

6.00 

15 

.12 

44 

6.00 

39 

.12 

27 

6.67 

81      4 

.12 

54 

54-6 

37 

II 

6.00 

22 

.  12 

54 

6.67 

46 

.12 

36 

6.67 

1 1 

.12 

53 

53-6 

38 

21 

6.00 

29 

•'3 

7      3 

6.00 

53 

•13 

45 

6.67 

18 

.12 

52 

52.6 

39 

31 

6.00 

37 

•  13 

13 

6.67 

81      I 

.12 

54 

6,67 

25 

.12 

51 

51-6 

40 

41 

6.00 

45 

0.13 

22 

6.67 

8 

0.13 

7     3 

6.67 

32 

0.12 

SO 

50.6 

41 

51 

6.67 

53 

•13 

31 

6,67 

16 

.13 

12 

7.50 

39 

•13 

49 
48 

49-^ 

42 

8     0 

6.67 

81      I 

•15 

40 

6.67 

24 

.13 

20 

6.67 

47 

•13 

48.6 

43 

9 

6.67 

10 

•13 

49 

6.67 

32 

.13 

29 

7.50 

55 

.12 

47 

47.6 

44 

18 

6.67 

18 

•'5 

58 

7.50 

40 

.15 

37 

7-5° 

82      2 

.13 

46 

46.6 

45 

27 

27 

8     6 

49 

45 

10 

45 

45-6 

a 

60' 

b 

A 

a 

6c/ 

h 

_A_ 

60' 
a       — 

h 

A 

a 

t 

^ 

60' 

A 

60' 

A 

6(y 

i  =  7 

8°(y 

d  =  78°30' 

d^l 

9°0' 

1 

0 

213 

0.203 

0.1 

94 

I 

T&ge  307 

\ 

a  =  7S°0' 

a  =  78°  30' 

a  =  79°  0' 

c\ 

\  ** 

\  d 

6<y 

\  * 

A 

\d 

6o_'  |\     « 

A 

\  d 

fxT 

\  t 

A 

\ 

A 

h\ 

A 

z\ 

60' 

*    \ 

A 

zN 

60' 

*    \ 

A 

Z\ 

60^ 

^\ 

/?\ 

o 

0     / 

0       / 

^    J 

^  °     ' 

0     / 

0     / 

,  1 

0 

45 

8   27 

6.67 

81  27 

0.15 

8     6 

6.67 

81  49 

0.13 

7  45 

7-5° 

82  10 

0.15 

45 

45-6 

46 

36 

6.67 

36 

•15 

15 

7-5° 

0      57 

•'5 

0   53 

7.50 

19 

•>3 

44 

44.6 

47 

45 

7.50 

45 

••5 

23 

7.50 

82     6 

•«5 

8     I 

7.50 

27 

•13 

43 

43-6 

48 

53 

6.67 

54 

•17 

31 

7.50 

15 

•15 

9 

7.50 

35 

•'5 

42 

42.6 

49 

9     2 

7.50 

82     4 

•'5 

39 

7.50 

24 

•15 

17 

8.57 

44 

•15 

41 

41.6 

50 

10 

7.50 

13 

0.17 

47 

7.50 

33 

0.15 

24 

7-5° 

53 

0.15 

40 

40.6 

51 

18 

7.50 

23 

•17 

55 

7.50 

42 

•■5 

32 

8.57 

83     2 

•'5 

30 

39-6 

52 

26 

7.50 

33 

•17 

9     3 

8.57 

51 

••7 

39 

8.57 

II 

•'5 

38 

38.6 

53 

34 

8.57 

43 

•17 

10 

8.S7 

83     I 

•17 

46 

8.57 

20 

•'5 

37 

37-6 

54 

41 

8.57 

53 

•17 

17 

8.57 

II 

•17 

53 

8.57 

29 

•'5 

36 

36.6 

55 

48 

8.57 

83     3 

0,17 

24 

8.57 

21 

0.17 

9     9 

1 0.0 

3^ 

0.17 

35 

35-5 

56 

55 

8.57 

13 

.18 

31 

8.57 

31 

.'7 

6 

8.57 

48 

•15 

34 

34-5 

57 

10     2 

8.57 

24 

•17 

38 

lO.O 

41 

•'7 

13 

lO.O 

0     57 

•  17 

33 

33-5 

58 

9 

8.57 

34 

.18 

44 

lO.O 

„     51 

•'7 

19 

lO.O 

84     7 

•17 

32 

32.5 

59 

16 

8.57 

45 

.18 

50 

lO.O 

84     I 

•17 

25 

1 0.0 

17 

••7 

31 

31S 

60 

23 

lO.O 

56 

0.18 

56 

10,0 

II 

0.18 

31 

lO.O 

27 

0.17 

30 

30-5 

61 

29 

1 0.0 

84     7 

.18 

10     2 

lO.O 

22 

.18 

37 

12.0 

37 

.«7 

29 

295 

63 

35 

lO.O 

18 

.18 

8 

10,0 

33 

•17 

42 

12.0 

47 

•17 

28 

28.5 

63 

41 

12.0 

29 

.20 

14 

12.0 

43 

.18 

47 

12.0 

57 

.18 

27 

27.5 

64 

46 

lO.O 

41 

.18 

19 

12.0 

54 

.18 

52 

12.0 

85     8 

••7 

26 

26.5 

65 

52 

12.0 

52 

0,20 

24 

12.0 

85     5 

0.18 

57 

12.0 

18 

0.18 

25 

254 

66 

57 

12.0 

85     4 

.18 

29 

12.0 

16 

.18 

10     2 

1 2.0 

29 

.17 

24 

24.4 

67 

II     2 

12. C 

15 

.20 

34 

12.0 

27 

.18 

7 

15.0 

39 

.18 

23 

234 

68 

7 

12.0 

27 

.20 

39 

12.0 

38 

.20 

II 

15.0 

50 

.18 

22 

22.4 

69 

12 

15.0 

39 

.20 

44 

15.0 

50 

.18 

15 

15.0 

86     I 

.18 

21 

21.4 

70 

16 

15.0 

SI 

0.20 

48 

15.0 

86     I 

0.20 

19 

15.0 

12 

o.i8 

20 

20.4 

71 

20 

15.0 

86     3 

.20 

52 

15.0 

13 

.18 

23 

15.0 

23 

.18 

10 

19.4 

72 

24 

15.0 

15 

,20 

56 

15.0 

24 

.20 

27 

15.0 

34 

.18 

1 8 

18.3 

73 

28 

15.0 

27 

.20 

1 1     0 

20.0 

36 

.18 

31 

20.0 

45 

.18 

'J  • 

17-3 

74 

32 

20.0 

39 

.20 

3 

20.0 

47 

.20 

34 

20.0 

56 

.18 

16 

16.3 

75 

35 

20.0 

51 

0.20 

6 

20.0 

59 

0.20 

37 

20.0 

87     7 

0.18 

15 

iS-3 

76 

38 

20.0 

87     3 

.22 

9 

20.0 

87   II 

.20 

40 

20.0 

18 

.20 

M 

14-3 

77 

41 

20.0 

16 

.20 

12 

20.0 

23 

.20 

43 

20.0 

30 

.18 

13 

133 

78 

44 

20.0 

28 

.22 

15 

30.0 

35 

.20 

46 

30.0 

41 

.20 

12 

12.2 

79 

47 

30.0 

41 

.20 

17 

30.0 

47 

.20 

48 

30.0 

53 

.18 

II 

11.2 

80 

49 

30.0 

53 

0.22 

19 

30.0 

59 

0.20 

50 

30.0 

88     4 

0.18 

10 

10.2 

81 

51 

30.0 

88     6 

.20 

21 

30.0 

88  II 

.20 

52 

30.0 

15 

.20 

9 

9.2 

82 

53 

30.0 

18 

.22 

23 

30.0 

23 

.20 

54 

60.0 

27 

.20 

8 

8.2 

83 

55 

60.0 

31 

.22 

25 

60.0 

35 

.20 

55 

60.0 

39 

.18 

7 

7-1 

84 

56 

60.0 

44 

.20 

26 

60.0 

47 

.20 

56 

60.0 

50 

.20 

6 

6.1 

85 

57 

60.0 

56 

0.22 

27 

60.0 

59 

0.20 

57 

60.0 

89     2 

0.18 

5 

5.1 

86 

58 

60.0 

89     9 

.22 

28 

60.0 

89  II 

.20 

58 

60.0 

13 

.20 

4 

4.1 

87 

59 

60.0 

22 

.20 

29 

60.0 

23 

.20 

59 

60.0 

25 

.20 

3 

31 

88 

12     0 

— 

34 

.22 

30 

— 

35 

.22 

1 1     0 

— 

37 

.iS 

2 

2.0 

89 

0 

— 

47 

.22 

30 

— 

48 

.20 

0 

— 

48 

.20 

J 

1.0 

90 

0 

90     0 

30 

90     0 

0 

90     0 

0 

0.0 

a 

60' 

b 

A 

a 

6(/ 

b 

A 

a 

6(y 

b 

_A_ 

a 

t 

A 

6^' 

A 

60/ 

A 

6'/ 

d  =  lS°0' 

d  =  lS°30' 

d  =  19°  0' 

Page 

308] 

0185 

0.1 

76 

01 

67 

\ 

a  =  79°  30 

a  =  80°0' 

a  =  80°  30' 

• 

K 

\  * 

\  d 

60' 

\    t 

A 

\  d 

60' 

\   t 

A 

\  d 

60' 

\    t 

A 

\ 

A 

^    \ 

A 

z\ 

60' 

/l\ 

A 

z\ 

60' 

A  \ 

A 

z\ 

60' 

f\ 

/8\ 

o 

0     / 

0       / 

0     / 

«o       ' 

0     / 

^0      ' 

0 

0 

0 

0    0 

5-45 

79  30 

0.00 

0    0 

6.00 

80     0 

0.00 

0    0 

6.00 

80  30 

0,00 

90 

90.0 

I 

II 

5-45 

30 

.00 

10 

5-45 

0 

.00 

10 

6.00 

30 

.00 

89 

89.0 

2 

22 

5-45 

30 

.02 

21 

6.00 

0 

.02 

20 

6.  CO 

30 

.02 

88 

S8.0 

3 

32, 

5-45 

31 

.00 

31 

5-45 

I 

.00 

30 

6.00 

31 

.00 

87 

87.0 

4 

44 

5-45 

31 

.02 

42 

6.00 

I 

.02 

40 

6.00 

31 

.02 

86 

86.1 

5 

5| 

5-45 

32 

0.02 

52 

6.00 

2 

0.02 

50 

6.67 

32 

0.02 

85 

85.1 

6 

I     6 

5-45 

ZZ 

.02 

I    2 

5-45 

3 

.02 

59 

6.00 

33 

.02 

84 

84.1 

7 

17 

6.00 

H 

.03 

13 

6.00 

4 

.03 

I      9 

6.00 

34 

.02 

83 

83.1 

8 

27 

5-45 

36 

.03 

23 

6.00 

6 

.02 

19 

6.00 

35 

.03 

82 

82.1 

9 

38 

S-45 

38 

.02 

33 

5-45 

7 

•03 

29 

6.  GO 

37 

.02 

81 

81.1 

10 

49 

5-45 

39 

0.03 

44 

6.00 

9 

0.03 

39 

6.67 

38 

0.03 

80 

80.1 

1 1 

2      0 

6.00 

41 

.03 

54 

6.00 

II 

.03 

48 

6.00 

40 

.03 

79 

79.2 

12 

10 

5-45 

43 

.05 

2     4 

6.00 

13 

.03 

58 

6.CC 

42 

•°3 

78 

78.2 

13 

21 

5-45 

46 

.03 

14 

6.00 

15 

•03 

2     8 

6.67 

44 

.03 

77 

77.2 

14 

32 

6.00 

48 

.05 

24 

6.00 

17 

.05 

17 

6.00 

46 

.05 

76 

76.2 

IS 

42 

5-45 

51 

0.05 

34 

6.00 

20 

0.05 

27 

6.67 

49 

0.05 

75 

75-2 

i6 

53 

6.00 

54 

.05 

44 

6.00 

23 

.05 

36 

6.00 

52 

.03 

74  ! 

74.2 

17 

3     3 

5-45 

57 

.05 

54 

6.00 

26 

.05 

46 

6.67 

54 

.05 

73 

73-2 

i8 

14 

6.00 

80   0 

.05 

3     4 

6.00 

29 

.05 

55 

6.00 

57 

.05 

72 

72.3 

19 

24 

6.00 

3 

.07 

14 

6.00 

32 

.05 

3     5 

6.67 

81     0 

.07 

71 

713 

20 

34 

5.45 

7 

0.07 

24 

6.00 

35 

0.07 

14 

6.CC 

4 

0.05 

70 

70.3 

21 

45 

6.00 

II 

.07 

34 

6.00 

39 

.07 

24 

6.67 

7 

.07 

69 

693 

22 

55 

6.00 

15 

.07 

44 

6.67 

43 

.07 

33 

6.67 

II 

.07 

68 

68.3 

23 

4     5 

6.00 

19 

.07 

53 

6.00 

47 

.07 

42 

5.67 

15 

.07 

67 

67.3 

24 

15 

6.00 

23 

.08 

4     3 

6.00 

51 

.07 

51 

6.67 

19 

.07 

66 

66.3 

^$ 

25 

6.00 

28 

0.08 

13 

6.67 

55 

0.08 

4     0 

6.67 

23 

0.07 

65 

65-3 

26 

35 

6.00 

33 

.07 

22 

6.67 

8x     0 

.07 

9 

6.67 

27 

.07 

64 

64.3 

-7 

45 

6.  CO 

37 

.08 

31 

6.00 

4 

.08 

18 

6.C7 

31 

.08 

63 

634 

28 

55 

6.67 

42 

,oS 

41 

6.67 

9 

.08 

27 

6.67 

36 

•07 

62 

62.4 

-9 

5     4 

6.C0 

47 

.10 

50 

6.67 

14 

.08 

36 

7.50 

40 

.08 

61 

61.4 

30 

14 

6.67 

53 

o.oS 

59 

6.67 

19 

0.08 

44 

6.67 

45 

0.08 

60 

60.4 

31 

23 

6.00 

0    58 

.10 

5     8 

6.67 

24 

.10 

53 

7.50 

50 

.08 

59 

59-4 

3^ 

iZ 

6.67 

81    4 

.10 

17 

6.67 

30 

.cS 

5     I 

7.50 

55 

.10 

58 

58.4 

33 

42 

6.67 

10 

.10 

26 

7.50 

35 

.10 

9 

6.67 

82     I 

.08 

57 

57-4 

34 

51 

6.67 

16 

.10 

34 

6.67 

41 

.10 

18 

7.50 

6 

.10 

56 

56.4 

^l 

6     0 

6.67 

22 

0. 10 

43 

6.67 

47 

0. 10 

26 

7.50 

12 

0.08 

55 

55-4 

36 

9 

6.67 

28 

.12 

.  52 

7.50 

53 

.10 

34 

7.50 

17 

.10 

54 

54-4 

17 

18 

6.67 

35 

.10 

6    0 

7.50 

0     59 

.10. 

42 

7.50 

23 

.10 

53 

53-4 

S8 

27 

7.50 

41 

.12 

8 

7-5° 

82     5 

.12 

50 

7.50 

29 

.10 

52 

524 

39 

35 

6,67 

48 

.12 

16 

7.50 

12 

.10 

58 

8.57 

35 

.  12 

51 

Si-4 

40 

44 

7.50 

0     55 

0.12 

24 

7.50 

18 

0.12 

6     5 

7.50 

42 

0. 10 

50 

50.4 

41 

52 

7.50 

82     2 

.12 

32 

7.50 

25 

.12 

13 

8.57 

48 

.12 

4? 

49.4 

42 

7     c 

7-5° 

9 

•13 

4? 

7.50 

32 

.12 

20 

7.50 

55 

.10 

48 

48.4 

43 

8 

7-5° 

17 

.12 

48 

7.50 

39 

.12 

28 

8.57 

S3     I 

.12 

47 

47-4 

44 

16 

7- 5c 

24 

•  '3 

56 

8.57 

46 

•13 

35 

8.57 

8 

.12 

46 

46.4 

45 

24 

32 

7     3 

54 

42 

15 

45 

4S4 

a 

60' 

6 

A 

a 

60' 

6 

A 

a 

60' 

6 

A 

a 

t 

A 

60' 

A 

60' 

A 

60' 

(^  =  79°30' 

c?  =  8 

0°0' 

^  =  80°  30' 

0  185 


0176 


0.167 


[Page  309 


45 

46 

47 
48 
40 

50 

5- 
53 
54 

55 

56 
57 
58 
59 

60 

61 
62 
63 
64 

65 

66 
67 
68 
69 

70 

71 
72 

73 
74 

75 

76 

77 
78 
79 

80 

■<■;  1 
82 

83 
S4 

8s 

So 

87 
88 

80 

90 


79°  30' 


60' 


0   / 

0   / 

7  24 

7.50 

S2    32 

0.1 

32 

7.';o 

40 

40 

8.<;7 

48 

47 

8.57 

5G 

54 

8.57 

83  4 

8  I 

8.^7 

12 

0.1 

8 

8.57 

21 

15 

8.^7 

29 

22 

8.57 

38 

.  I 

29 

1 0.0 

47 

35 

lO.O 

56 

0.1 

41 

1 0.0 

84  5 

47 

lO.O 

14 

.  I 

53 

lO.O 

23 

59 

lO.O 

33 

.  I 

9  5 

10.0 

42 

0.1; 

II 

12.0 

52 

16 

12.0 

85  I 

21 

12.0 

II 

26 

12.0 

21 

31 

15.0 

31 

0. 1' 

35 

15.0 

41 

39 

ii;.o 

51 

43 

15.0 

86  2 

47 

15.0 

12 

51 

1^0 

22 

0.1 

55 

15.0 

33 

59 

20.0 

43 

10  2 

20.0 

54 

5 

20.0 

87  4 

8 

20.0 

15 

0.1 

II 

20.0 

26 

14 

30.0 

37 

16 

30.0 

47 

18 

30.0 

58 

20 

30.0 

88  9 

0.1 

22 

30.0 

20 

24 

60.0 

31 

25 

60.0 

42 

26 

60.0 

53 

27 

60.0 

89  4 

0.1 

28 

60.0 

15 

29 

60,0 

27 

30 

— 

38 

30 

— 

49 

30 

90  0 

^    b 

A 


_A 

bey 


0=80°  0' 


6c/ 
A 


60' 
A 


_A 

6<y 


0   / 

„  °  ' 

7  3 

7.';o 

82  54 

0.  i; 

II 

8.S7 

83  I 

18 

«.S7 

9 

25 

«.57 

16 

32 

8.57 

24 

•  I. 

39 

1 0.0 

32 

0.1 

45 

«-57 

40 

52 

lO.O 

48 

58 

lO.O 

57 

8  4 

lo.o 

84  5 

10 

lO.O 

13 

0.1 

16 

1 0.0 

22 

22 

lO.O 

31 

28 

1 0.0 

40 

34 

12.0 

49 

39 

12.0 

.  58 

0.1 

44 

12.0 

85  7 

49 

12.0 

16 

54 

12.0 

25 

59 

12.0 

35 

9  4 

I^.O 

44 

0. 1- 

8 

I^.O 

54 

12 

liJ.O 

86  4 

16 

15.0 

13 

20 

15.0 

23 

24 

20.0 

33 

0. 1 

27 

20.0 

43 

30 

20.0 

0  53 

33 

20.0 

87  3 

36 

20.0 

13 

39 

20.0 

23 

0.1 

42 

20.0 

33 

45 

30.0 

44 

47 

30.0 

54 

49 

30,0 

88  4 

51 

30.0 

15 

0. 1 

53 

60.0 

25 

54 

60.0 

36 

55 

60.0 

46 

56 

60.0 

57 

57 

60.0 

89  7 

0,1 

58 

60.0 

18 

59 

60.0 

28 

10  0 

— 

39 

0 

— 

49 

0 

90  0 

A_ 
60' 


d  =  SO°0' 


a  =  80°  30' 


6<y 


6  42 
49 
56 

7  3 
9 

16 

22 
28 

34 
40 

46 
52 
58 

8  3 


13 

18 

23 
28 

32 

36 

40 

44 
48 
5; 

56 

59 

9     2 

5 


0 

/ 

«.57 

83 

15 

0.1 

8.57 

22 

^•S7 

29 

lO.O 

37 

8.57 

44 

1 0.0 

52 

0. 1 

lO.O 

59 

lO.O 

84 

7 

10,0 

IS 

1 0.0 

23 

lO.O 

31 

0.1 

1 0.0 

39 

12.0 

47 

12.0 

56 

12.0 

85 

4 

12.0 

13 

0.1 

12.0 

22 

12.0 

30 

15.0 

39 

15.0 

48 

ji 

15.0 

57 

0.1 

15,0 

86 

6 

15.0 

15 

15.0 

25 

15.0 

34 

20.0 

43 

0.1 

20.0 

53 

20.0 

87 

2 

20.0 

12 

20.0 

22 

30.0 

31 

0.1 

30.0 

41 

30.0 

51 

30.0 

88 

0 

30.0 

10 

30.0 

20 

0.1 

30.0 

30 

60.0 

40 

60.0 

50 

60.0 

89 

0 

60.0 

10 
20 

0,1 

60.0 

30 

— 

40 

— 

50 

90 

0 

45 

44 
43 
42 
41 

40 

39 
38 
37 
36 

35 

34 
33 
32 
31 

30 

29 

28 
27 
26 

25 

24 
23 

22 
21 

20 

19 
18 

17 
16 

15 
14 
13 
12 
II 

10 

9 
8 

7 
6 

5 
4 
3 
2 
I 


45-4 
44.4 

43-4 
42.4 
41.4 

40.4 
39.4 
38.4 
37-4 
36-4 

35-4 
34-4 
33-4 
324 
31.4 

304 
29.4 
28.4 
27.4 
26.3 

253 
243 
23-3 
22.3 
21.3 

20.3 
19-3 
18.3 
17.2 
16.2 

15-2 

14.2 
13.2 
12.2 
II. 2 

10.2 
9.1 
8.1 

71 
6.1 

51 
4.1 

30 
2.0 

I.O 
0.0 


60' 

A 


_A 

60' 


d  =  80°30' 


Page  310] 

0.158 

c. 

=49 

0.1 

41 

\ 

a  =  81°0' 

a  =  81°  30' 

a  =  82°0' 

V 

\  * 

\  d 

60' 

\  i 

A^ 

\<i 

60' 

\  i 

A 

\  d 

60' 

\   t 

A 

\ 

B^ 

\^\ 

A 

Z\ 

60' 

A  \ 

A 

z\ 

6(-/ 

h\ 

^ 

Z\ 

6c/ 

A 

I3\ 

o 

0      > 

n°            ' 

0     / 

0        / 

0     / 

0       / 

0 

0 

0 

0    0 

6.67 

81          0 

0.00 

0    0 

6.67 

Si  30 

0.00 

0    0 

7.50 

82      0 

0.00 

90 

90.0 

I 

9 

6.00 

0 

.00 

9 

6.67 

30 

.00 

8 

6.67 

0 

.00 

89 

89.0 

o 

19 

6.67 

0 

.cz 

18 

6.67 

30 

.02 

17 

7.50 

0 

.02 

88 

88.0 

3 

28 

6.00 

I 

.oc 

27 

7.50 

31 

.00 

25 

7.50 

I 

.00 

87 

87.0 

4 

38 

6.67 

I 

.02 

35 

6.67 

31 

.02 

33 

6.67 

I 

.02 

86 

86.0 

5 

47 

6.67 

2 

0.02 

44 

6.67 

32 

0.02 

42 

7.50 

2 

0.02 

85 

85.1 

6 

56 

6.CC 

3 

.02 

53 

6.67 

33 

.02 

50 

7-50 

3 

.02 

84 

84.1 

7 

I     6 

6.67 

4 

.02 

I     2 

6.67 

34 

.02 

58 

6.67 

4 

.02 

83 

83.1 

8 

15 

6.67 

5 

.02 

II 

6.67 

35 

.02 

1     7 

7.50 

5 

.02 

82 

82.1 

9 

24 

6.67 

6 

•03 

20 

7.50 

36 

•03 

15 

7.50 

6 

.02 

81 

81.1 

10 

33 

6.00 

8 

0.03 

28 

6.67 

38 

0.02 

23 

7.50 

7 

0.03 

80 

80.1 

1 1 

43 

6.67 

10 

•03 

37 

6.67 

39 

•03 

31 

6.67 

9 

.02 

79 

79.1 

12 

52 

6.67 

12 

.03 

46 

7.50 

41 

.03 

40 

7.50 

10 

.03 

78 

78.1 

13 

2     I 

6.67 

14 

.03 

54 

6.67 

43 

.03 

48 

7.50 

12 

.03 

77 

77.1 

14 

10 

6.67 

16 

.03 

2     3 

6.67 

\     45 

•03 

56 

7.50 

14 

•03 

76 

76.1 

15 

19 

6.67 

18 

0.03 

12 

7.50 

47 

0.03 

2     4 

7.50 

16 

0.03 

75 

75-2 

i6 

28 

6.67 

20 

.05 

20 

6.67 

49 

.05 

12 

7.50 

18 

.05 

74 

74-2 

17 

37 

6.67 

23 

.05 

29 

7.50 

52 

•05 

20 

7.50 

21 

.03 

73 

73-2 

i8 

46 

6.67 

26 

.05 

37 

6.67 

55 

•03 

28 

7.50 

23 

.05 

72 

72.2 

19 

55 

6.67 

29 

.05 

46 

7.50 

57 

.05 

36 

7.50 

26 

.05 

71 

71.2 

20 

3     4 

6.67 

32 

0.05 

54 

7.50 

82     0 

0.05 

44 

7.50 

29 

0.05 

70 

70.2 

21 

13 

6.67 

35 

.07 

3     2 

7.50 

3 

.07 

52 

8.57 

3\ 

.05 

69 

69.2 

22 

22 

7.50 

39 

•OS 

10 

6.67 

7 

•05 

59 

7.50 

35* 

.05 

68 

68.2 

23 

30 

6.67 

42 

.07 

.  19 

7.50 

10 

.05 

3     7 

7.50 

38 

•05 

67 

67.2 

24 

39 

7.50 

46 

.07 

27 

7.50 

13 

.07 

15 

8.57 

41 

.05 

66 

66.2 

25 

47 

6.67 

50 

0.07 

35 

7.50 

17 

0.07 

22 

7.50 

44 

0.07 

65 

65.2 

26 

56 

6.67 

54 

.07 

43 

7.50 

21 

.07 

30 

8.57 

48 

.07 

64 

64.2 

27 

4     5 

7-5° 

0     58 

.07 

51 

7.50 

25 

.07 

37 

7.50 

52 

.07 

63 

63-3 

28 

13 

7.50 

82     2 

.08 

59 

7.50 

29 

.07 

45 

8.57 

56 

.07 

62 

62.3 

29 

21 

7.50 

7 

.07 

4     7 

8.57 

33 

.07 

52 

8.57 

83     0 

.07 

61 

61.3 

30 

29 

7.50 

11 

0.08 

14 

7.50 

37 

0.08 

59 

7.50 

4 

0.07 

60 

6a3 

31 

37 

7.50 

16 

.08 

22 

7.50 

42 

.08 

4     7 

8.57 

8 

.07 

59 

59-3 

32 

45 

7.50 

21 

.08 

30 

8.57 

47 

.07 

14 

8.57 

12 

.08 

5^ 

58.3 

33 

53 

7.50 

26 

.oS 

37 

7.50 

51 

.08 

21 

8.57 

17 

,07 

57 

57-3 

34 

5     I 

7.50 

31 

.08 

45 

8.57 

56 

.08 

28 

8.57 

21 

.08 

56 

56.3 

35 

9 

7.50 

36 

0,10 

52 

8.57 

^3     I 

0.08 

35 

8.57 

26 

0.08 

55 

5S3 

^6 

17 

"•57 

42 

.08 

59 

8.57 

6 

.10 

42 

lO.O 

31 

.08 

54 

54-3 

37 

24 

7.50 

47 

.10 

5     6 

8.57 

12 

.08 

48 

8.57 

36 

.08 

53 

53-3 

38 

32 

8-57 

53 

.10 

13 

8.57 

17 

.08 

55 

8.57 

41 

.08 

52 

52.3 

39 

39 

8.57 

59 

.10 

20 

8.57 

22 

.10 

5     2 

1 0.0 

46 

.08 

51 

Si-3 

40 

46 

8.57 

83     5 

0. 10 

27 

8.57 

28 

0. 10 

8 

1 0.0 

51 

0. 10 

50 

So-3 

41 

.  53 

8.57 

II 

.10 

34 

8.57 

34 

.10 

14 

8.57 

57 

.08 

49  1 

49-3 

42 

6     0 

8.57 

17 

.10 

41 

1 0.0 

40 

.10 

21 

1 0.0 

84     2 

.10 

48  1 

48.3 

43 

7 

8.57 

23 

.12 

47 

8.57 

46 

.  10 

27 

lO.O 

8 

.10 

47  i 

47-3 

44 

14 

8.57 

30 

.12 

54 

lO.O 

52 

.10 

33 

lO.O 

14 

.10 

46  ! 

46.3 

45 

21 



37 

6     0 

58 

39 

20 

45 



45-3 

a 

Ou' 

b 

_A 

a 

60' 

b 

_A 

a 

60' 

b 

_A_ 

a 

t 

A 

60' 

~A 

60' 

A 

60' 

d^S 

1°0' 

d  =  Si 

[°30' 

d  =  S 

2°0' 

0.IS8 


0.149 


0.141 


[Page  311 


\ 

a  =  81°0' 

a  =  81°  30' 

a  =  82°0' 

\ 

\- 

X 

6c/ 
A 

A 

60' 

A 

z\ 

A 

60' 

60' 

A 

z\ 

A 

60' 

A 

0 

45 

6  21 

8.57 

83  37 

0, 10 

0     / 
6     0 

lO.O 

0        / 
83    58 

0. 10 

0     / 

5  39 

lO.O 

84  20 

O.IO 

0 
45 

0 

45-3 

4b 

28 

10,0 

43 

.12 

6 

lO.O 

84     4 

.12 

45 

lO.O 

26 

.10 

44 

44-3 

47 

34 

8.57 

50 

.12 

12 

1 0.0 

II 

.TO 

51 

12.0 

32 

.10 

43 

43-3 

48 

41 

1 0.0 

0      57 

.1 2 

18 

lO.O 

17 

.12 

.  56 

lO.O 

38 

.10 

42 

42.3 

49 

47 

lO.O 

84     4 

.12 

24 

lO.O 

24 

.12 

6     2 

12.0 

44 

.10 

41 

41.3 

SO 

53 

lO.O 

II 

0.12 

30 

lO.O 

3£ 

0.12 

7 

lO.O 

50 

0.12 

40 

403 

51 

59 

lO.O 

18 

.13 

36 

12.0 

38 

.12 

13 

12.0 

57 

.ro 

39 

39-3 

52 

7     5 

lO.O 

26 

.12 

41 

1 0.0 

45 

.12 

18 

12.0 

85      3 

.12 

38 

38.3 

53 

II 

12.0 

33 

.13 

47 

12.0 

52 

.12 

23 

12.0 

10 

.12 

37 

37-3 

54 

16 

lO.O 

41 

•13 

52 

12.0 

59 

.12 

28 

12.0 

17 

.10 

36 

36.3 

55 

22 

12.0 

49 

0.12 

57 

12.0 

85     6 

0.12 

33 

12.0 

23 

0.12 

35 

35-3 

56 

27 

12.0 

56 

•13 

7     2 

12.0 

13 

.13 

38 

15.0 

30 

.12 

34 

34-3 

57 

32 

12.0 

85     4 

•13 

7 

12.0 

21 

.12 

42 

12.0 

37 

.12 

33 

33-3 

58 

37 

12.0 

12 

.13 

12 

12.0 

28 

.13 

47 

15.0 

44 

•'3 

32 

32.3 

59 

42 

12.0 

20 

•  13 

17 

12.0 

36 

•13 

51 

15.0 

52 

.12 

31 

313 

60 

47 

12.0 

28 

0.15 

22 

15.0 

44 

0.12 

55 

15.0 

59 

0.12 

30 

30.3 

61 

52 

12.0 

37 

.13 

26 

15.0 

51 

••3 

59 

15.0 

86     6 

.12 

29 

293 

62 

57 

15.0 

45 

•13 

30 

15.0 

0.  59 

.13 

7     3 

15.0 

13 

•13 

28 

28.3 

63 

8     I 

15.0 

.  53 

•15 

34 

15.0 

86     7 

.13 

7 

15.0 

21 

.12 

27 

273 

64 

5 

15.0 

86     2 

•  13 

38 

15.0 

15 

.'3 

11 

15.0 

28 

•13 

26 

26.3 

65 

9 

15.0 

10 

0.15 

41 

15.0 

23 

0.13 

15 

15.0 

36 

0.13 

25 

25.2 

66 

13 

15.0 

19 

•15 

46 

20.0 

31 

.13 

19 

20.0 

44 

.12 

24 

24.2 

67 

17 

15.0 

28 

•13 

49 

15.0 

^2 

.»s 

22 

20.0 

51 

•'3 

23 

23.2 

68 

21 

20.0 

36 

•15 

53 

20.0 

48 

•13 

25 

20.0 

59 

••3 

22 

22.2 

69 

24 

20.0 

45 

••5 

56 

20.0 

56 

.13 

28 

20.0 

87     7 

•'3 

21 

21.2 

70 

27 

20.0 

54 

0.15 

0  59 

20.0 

87     4 

0.15 

31 

20.0 

15 

0.13 

20 

20.2 

71 

30 

20.0 

87     3 

•'5 

8     2 

20.0 

13 

.13 

34 

20.0 

23 

•'3 

19 

19.2 

72 

33 

20.0 

12 

.15 

5 

20.0 

21 

.15 

37 

30.0 

31 

.13 

18 

18.2 

73 

36 

20,0 

21 

.15 

8 

30.0 

3° 

•  13 

39 

30.0 

39 

.13 

'I 

17.2 

74 

39 

20.0 

30 

•15 

10 

20.0 

38 

••5 

41 

30.0 

47 

.13 

16 

16.2 

75 

42 

30.0 

39 

0.15 

13 

30.0 

47 

0.15 

43 

30.0 

„   55 

0.13 

15 

152 

76 

44 

30.0 

48 

.17 

15 

30.0 

56 

•'3 

45 

30.0 

88     3 

.13 

14  1 

14.2 

77 

46 

30.0 

58 

.»s 

17 

30.0 

88     4 

•15 

47 

30.0 

II 

•15 

13 

131 

78 

48 

30.0 

88     7 

•15 

19 

30.0 

13 

•'5 

49 

30.0 

20 

.13 

12 

12. 1 

79 

50 

30.0 

16 

•15 

21 

60.0 

22 

• 

•'5 

51 

30.C 

28 

•13 

II 

ii.i 

80 

52 

30.0 

25 

0.17 

22 

30.0 

31 

0.15 

53 

60.0 

36 

0.13 

IC    1 

10. 1 

.Si 

54 

60.0 

35 

•15 

24 

60.0 

40 

.'3 

54 

60.0 

44 

.15 

Q 

9.1 

82 

55 

60.0 

44 

•17 

25 

60.0 

48 

.'5 

55 

60.0 

53 

.'3 

8 

8.1 

83 

56 

60.0 

54 

•15 

26 

60.0 

57 

.'5 

56 

60.0 

89     I 

.15 

7 

1-^ 

84 

57 

60.0 

89     3 

•  Jy 

27 

60.0 

89     6 

•15 

57 

60.0 

10 

•«3 

6 

6.1 

85 

58 

60.0 

13 

0.15 

28 

60.0 

15 

0.15 

58 

60.0 

18 

0.13 

5 

51 

so 

59 

— 

22 

••5 

29 



24 

•15 

59 

— 

26 

.'5 

4   i 

4.0 

^^7 

59 

6c. 0 

31 

.'7 

29 

60.  G 

33 

•'5 

0  59 

60.0 

35 

.13 

3  1 

3-0 

88 

9     0 

— 

41 

•'5 

30 



42 

•15 

8     0 

— 

43 

•'5 

2  1 

2.0 

89 

0 

— 

50 

•17 

30 



51 

•15 

0 

— 

52 

.'3 

I  1 

I.O 

90 

0 

90     0 

30 

90     0 

0 

90     0 

0 

0.0 

a 

60' 

b 

A 

a 

60' 

b 

A 

a 

^    b 

A 

a 

t 

A 

6(y 

A 

Gc/ 

^ 

6^ 

d  =  Sl°0' 

^  =  81°  30' 

rf  =  82°0' 

Page  312] 


0.132 


0.123 


0.114 


I 

a  =  82°  30' 

a  =  83°0' 

a  =  83°  30' 

X 

\  * 

be/ 

60' 

A 

z\ 

A 

6<y 

61-/ 

A 

Z  \    6c/ 

A 

0 

0     / 

0       / 

0     / 

0       / 

0     .  .     1 

0°      ' 

0 

0 

0 

0    0 

7.50 

82  30 

0.00 

0    0 

8.57 

83   0 

0.00 

0    0 

8.57 

83  30 

0.00 

i° 

90.0 

I 

8 

7.50 

30 

.00 

7 

7.50 

0 

.00 

7 

8.57 

30 

.00 

89 

89.0 

2 

16 

7.50 

30 

.02 

15 

8.57 

0 

.02 

14 

lO.O 

30 

.02 

88 

88.0 

3 

24 

8.57 

31 

.00 

22 

8.57 

I 

.00 

20 

8.57 

31 

.00 

87 

87.0 

4 

31 

7.50 

31 

.02 

29 

7.50 

I 

.02 

27 

8.57 

31 

.00 

86 

86.0 

5 

39 

7.50 

32 

0,00 

37 

8.57 

2 

0.00 

34 

8.57 

31 

0.02 

|5 

85.0 

6 

47 

7.50 

32 

.02 

44 

8.57 

2 

.02 

41 

lO.O 

32 

.02 

?4 

84.0 

7 

55 

7.50 

33 

.02 

51 

8.57 

3 

.02 

47 

8.57 

33 

.02 

P 

83.1 

8 

I     3 

8.57 

34 

.02 

58 

7.50 

4 

.02 

54 

8.57 

34 

.02 

82 

82.1 

9 

10 

7.50 

35 

.03 

I     6 

8.57 

5 

.02 

I      I 

8.57 

35 

.02 

81 

81. 1 

10 

18 

7.50 

37 

0.02 

13 

8.57 

6 

0.03 

8 

lO.O 

36 

0.02 

80 

80.1 

II 

26 

8.57 

38 

.03 

20 

8.57 

8 

.02 

14 

8.57 

^l 

.02 

7? 

79.1 

12 

33 

7.50 

40 

.02 

27 

8.S7 

9 

.03 

21 

8.57 

38 

.03 

78 

78.1 

13 

41 

7.50 

41 

.03 

34 

8.57 

II 

.02 

28 

lO.O 

40 

.0-2 

7Z 

77.1 

14 

49 

8.57 

43 

.03 

41 

8.57 

12 

.03 

34 

8.57 

41 

.03 

76 

76.1 

IS 

56 

7.50 

45 

0.03 

48 

8.57 

14 

0.03 

41 

1 0.0 

43 

0.03 

75 

751 

10 

2     4 

8.57 

47 

.03 

55 

8.57 

16 

.03 

47 

8.57 

45 

.03 

74 

74.1 

17 

II 

7.50 

49 

.05 

2     2 

8.57 

18 

.°3 

54 

lO.O 

47 

•03 

73 

731 

18 

19 

8.57 

52 

•03 

9 

8.57 

20 

.05 

2     0 

8.57 

49 

.03 

72 

72.1 

19 

26 

7.50 

54 

.05 

16 

8.57 

23 

•03 

/ 

lO.O 

51 

.03 

71 

71.1 

20 

34 

8.57 

57 

0.03 

23 

8.57 

25 

0.05 

13 

8.57 

5| 

0,05 

70 

70.1 

21 

41 

8.57 

59 

.05 

30 

8.57 

28 

.03 

20 

lO.O 

5^ 

.03 

69 

69.1 

22 

48 

8.57 

83     2 

.05 

37 

8.57 

30 

.05 

26 

lO.O 

58 

.05 

68 

68.1 

23 

55 

7.50 

5 

.05 

44 

lO.O 

33 

.05 

32 

lO.O 

84     I 

.03 

67 

67.2 

24 

3     3 

8.57 

8 

.07 

50 

8.57 

36 

.05 

38 

8.57 

3 

.05 

66 

66.2 

25 

10 

8.57 

12 

0.05 

57 

8.57 

39 

0.05 

45 

lO.O 

6 

0.05 

65 

65.2 

26 

17 

8.57 

IS 

.05 

3     4 

lO.O 

42 

.05 

51 

lO.O 

9 

.05 

f4 

64.2 

27 

24 

8.57 

18 

.07 

10 

8.57 

45 

.07 

57 

lO.O 

12 

.05 

63 

63.2 

28 

31 

8.57 

22 

.07 

17 

lO.O 

49 

.05 

3     3 

lO.O 

15 

.05 

62 

62.2 

29 

38 

8.57 

26 

.07 

23 

8.57 

52 

.07 

9 

lO.O 

18 

.07 

61 

61.2 

30 

45 

lO.O 

30 

0.07 

39 

lO.O 

56 

0.07 

IS 

lO.O 

22 

0.05 

60 

6o>2 

31 

51 

8.57 

34 

.07 

36 

lO.O 

84     0 

.05 

21 

12.0 

25 

.07 

52 

59-2 

32 

58 

8.57 

38 

.07 

42 

lO.O 

3 

.07 

26 

lO.O 

29 

.05 

58 

58.2 

33 

4     5 

1 0.0 

42 

.07 

48 

lO.O 

7 

.07 

^o 

lO.O 

32 

.07 

H 

57-2 

34 

II 

8.57 

46 

.08 

54 

lO.O 

II 

.07 

38 

12.0 

36 

.07 

56 

56.2 

35 

18 

lO.O 

51 

0.07 

4     0 

1 0.0 

*i5 

0.08 

43 

lO.O 

40 

0.07 

55 

55-2 

36 

24 

lO.O 

55 

.08 

6 

lO.O 

20 

.07 

49 

12.0 

44 

.07 

54 

54-2 

37 

30 

8.57 

84    0 

.08 

12 

lO.O 

24 

.07 

54 

1 0.0 

48 

.07 

53 

53-2 

38 

37 

lO.O 

5 

.07 

18 

1 0.0 

28 

.08 

4     0 

12.0 

5f 

.07 

52 

52.2 

39 

43 

10.0 

9 

.08 

24 

lO.O 

33 

.08 

5 

12.0 

56 

.08 

51 

51.2 

40 

49 

lO.O 

14 

0.08 

30 

12.0 

38 

0.07 

10 

lO.O 

85      I 

0.07 

50 

50.2 

41 

55 

lO.O 

19 

.10 

35 

10,0 

42 

.08 

16 

12.0 

5 

.oS 

49 

49.2 

42 

5     I 

12.0 

25 

.08 

41 

12.0 

47 

.08 

21 

12.0 

10 

.07 

48 

48.2 

43 

6 

1 0.0 

30 

.08 

46 

lO.O 

52 

.08 

26 

12.0 

14 

.oS 

47 

47.2 

44 

12 

lO.O 

35 

.10 

52 

12.0 

57 

.08 

31 

12.0 

19 

.08 

46 

46.2 

45 

18 

41 

57 

85     2 

36 

24 

45 

45-2 

a 

ec/ 

h 

A 

a 

60' 

b 

_A_ 

a 

6<y 

i 

_A 

a 

t 

A 

6c/ 

A 

6(y 

A 

6r/ 

d  =  S 

2°  30' 

rf  =  £ 

:3"  0' 

^  =  S 

3°  30' 

— 

0.132 

0.123 

0.114 

[Pag« 

3  313 

\ 

a  =  82°30' 

a  =  83°0' 

a  =  83°  30' 

V 

V 

\  d 

60' 

\  * 

A 

\d 

60' 

\' 

A 

X  d 

(^0' 

\  * 

_A 

A 

A 

h\ 

A 

z\ 

M 

A\ 

A 

K 

(:0' 

*    N 

A 

z\ 

60' 

^\ 

o 

0     / 

0      1 

0     / 

„  0      ' 

0    / 

« 0     ' 

0 

0 

45 

5   18 

12.0 

84  41 

0.08 

4   57 

12.0 

85       2 

0.08 

4  36 

15.0 

85  24 

0.07 

45 

45-2 

46 

23 

lO.O 

46 

.10 

5     2 

12.0 

7 

.10 

40 

12.0 

28 

.oS 

44 

44.2 

47 

29 

12.0 

5i 

.10 

7 

12.0 

13 

.08 

45 

12.0 

33 

.oS 

43 

43-2 

48 

34 

12.0 

.    58 

.10 

12 

12.0 

18 

.10 

50 

15.0 

38 

.08 

42 

42.2 

49 

39 

12.0 

85    4 

.10 

17 

15.0 

24 

.08 

54 

15.0 

43 

.  10 

41 

41.2 

SO 

44 

12.0 

10 

0. 10 

21 

12.0 

29 

0.  ID 

58 

12.0 

49 

0.08 

40 

40.2 

51 

49 

12.0 

16 

.10 

26 

12.0 

35 

.10 

5     3 

15.0 

54 

.08 

■^2 

39-2 

52 

54 

12.0 

22 

.10 

31 

15.0 

41 

.08 

7 

15.0 

.  59 

.  10 

38 

38.2 

53 

59 

12.0 

28 

.10 

35 

12.0 

46 

.10 

II 

15.0 

86     5 

.08 

H 

37-2 

54 

6     4 

15.0 

34 

.12 

40 

15.0 

52 

.10 

15 

15.0 

10 

.10 

36 

36.2 

55 

8 

12.0 

41 

0. 10 

44 

15.0 

58 

0. 10 

19 

15.0 

16 

0.08 

35 

35-2 

56 

13 

15.0 

47 

.12 

48 

15.0 

86     4 

.10 

23 

15.0 

21 

.  10 

34 

34-2 

57 

17 

15.0 

54 

.10 

52 

15.0 

10 

.12 

27 

15.0 

27 

.10 

33 

33-2 

58 

21 

15.0 

86     0 

.12 

56 

15.0 

17 

.10 

31 

20.0 

^ 

.08 

32 

32.2 

59 

25 

15.0 

7 

.12 

6     0 

15.0 

23 

.10 

34 

15.0 

38 

.10 

31 

31-2 

t 

60 

29 

15.0 

14 

0.12 

4 

20.0 

29 

0.12 

38 

20.0 

44 

O.IO 

30 

30.2 

61 

33 

15.0 

21 

.12 

7 

15.0 

36 

.10 

41 

20.0 

5° 

.10 

29 

29.2 

62 

37 

15.0 

28 

.12 

II 

20.0 

42 

.12 

44 

20.0 

0     56 

.10 

28 

28.2 

63 

41 

20.0 

35 

.12 

14 

20.0 

49 

.10 

47 

20.0 

87     2 

.10 

27 

S'^ 

64 

44 

15.0 

42 

.12 

17 

20.0 

55 

.12 

50 

20.0 

8 

.12 

26 

26.2 

65 

48 

20.0 

49 

0.12 

20 

20.0 

87     2 

O.IO 

53 

20.0 

15 

0.10 

25 

25.2 

66 

51 

20.0 

56 

.12 

23 

20.0 

8 

.12 

56 

20.0 

21 

.10 

24 

24.2 

67 

54 

20.0 

87     3 

.12 

26 

20.0 

15 

.12 

.  59 

30.0 

27 

.10 

23 

23.2 

68 

57 

20.0 

10 

••3 

29 

20.0 

22 

.12 

6     I 

20.0 

33 

.12 

22 

22.2 

69 

7     0 

20.0 

18 

.12 

32 

20.0 

29 

.12 

4 

20.0 

40 

.10 

21 

21. 1 

70 

3 

20.0 

25 

0.13 

35 

30.0 

36 

0.  12 

7 

30.0 

46 

0.12 

20 

20.1 

71 

6 

30.0 

33 

.12 

37 

30.0 

43 

.12 

9 

30.0 

53 

.10 

19 

19. 1 

72 

8 

30.0 

40 

.13 

39 

20.0 

50 

.12 

II 

30.0 

0  59 

.12 

18 

18. 1 

73 

10 

20.0 

48 

.12 

42 

30.0 

57 

.12 

13 

30.0 

88     6 

.10 

17 

17.1 

74 

13 

30,0 

55 

.13 

44 

30.0 

88     4 

.12 

15 

30.0 

12 

.12 

16 

16. 1 

75 

15 

30.0 

88     3 

0.12 

46 

30.0 

II 

0.12 

17 

30.0 

19 

O.IO 

15 

iSi 

76 

17 

30.0 

10 

.13 

48 

60.0 

18 

.12 

19 

60.0 

25 

.  12 

14 

14. 1 

77 

19 

60.0 

18 

.13 

49 

30.0 

25 

.12 

20 

30.0 

32 

.12 

13 

13.1 

78 

20 

30.0 

26 

•13 

51 

60.0 

32 

.12 

22 

60.0 

39 

.10 

12 

12. 1 

79 

22 

60.0 

34 

.12 

52 

30.0 

39 

•13 

23 

60.0 

45 

.12 

II 

ii.i 

80 

23 

60.0 

41 

0.13 

54 

60.0 

47 

0.12 

24 

60.0 

52 

0.12 

10 

10. 1 

«i 

24 

60.0 

49 

.13 

55 

60.0 

54 

.12 

25 

60.0 

59 

.ro 

9 

9.x 

82 

25 

60.0 

57 

.13 

56 

60.0 

89     I 

.13 

26 

60.0 

89     5 

.12 

8 

8.1 

83 

26 

60.0 

89     5 

•13 

57 

60.0 

9 

.12 

27 

60.0 

12 

.12 

7 

7-1 

84 

27 

60.0 

13 

.13 

58 

— 

16 

.12 

28 

60.0 

19 

.12 

6 

6.0 

85 

28 

60.0 

21 

0.12 

58 

60.0 

23 

0.13 

29 

— 

26 

0.10 

5 

50 

86 

29 



28 

•13 

59 

— 

31 

.12 

29 

— 

32 

.12 

4 

4.0 

87 

29 

60.0 

36 

.13 

59 

60.0 

38 

.12 

29 

60.0 

^^ 

.12 

3 

30 

88 

30 



44 

•13 

7     0 

— 

45 

•13 

30 

— 

46 

.12 

2 

2.0 

89 

30 



52 

•13 

0 

— 

53 

.12 

30 

— 

53 

.12 

I 

I.O 

90 

30 

90     0 

0 

90     0 

30 

90     0 

0 

0.0 

a 

^              h 

_A_ 

a 

6c/ 

h 

A 

a 

6c/ 

h 

^ 

a 

t 

A 

60' 

A 

6<y 

A 

60' 

^  =  82°  30' 

d  =  83°  0' 

^  =  83°  30' 

Page 

314] 

G 

.105 

0.( 

387 

0.070 

\ 

a  =  84°0' 

a  =  85°0' 

a  =  86°0' 

\   ^ 

\" 

\  d 

60' 

\  t 

A 

\  d 

60' 

\    t 

_A 

\  d 

60' 

\   t 

A 

A 

*\ 

^     \ 

A 

z\ 

60' 

*    \ 

A 

Z\ 

60' 

/t  \ 

A 

z\ 

60' 

cA 

A 

o 

0     / 

r,"           ' 

0     / 

r^°            ' 

0      / 

0       / 

0 

0 

0    0 

1 0.0 

84    0 

0.00 

0    0 

12.0 

85           0 

0.00 

0    0 

15.0 

86     0 

0.00 

90 

90.0 

I 

6 

8.57 

0 

.00 

5 

12.0 

0 

.00 

4 

15.0 

0 

.00 

89 

89.0 

2 

13 

1 0.0 

0 

.00 

10 

lO.O 

0 

.00 

8 

12.C 

0 

.00 

88 

88.0 

3 

19 

1 0.0 

0 

.02 

16 

12.0 

0 

.02 

13 

15.0 

0 

.02 

87 

87.0 

4 

25 

10.0 

I 

.00 

21 

12.0 

I 

,00 

17 

15.0 

I 

.00 

86 

86.0 

5 

31 

8.57 

I 

0.02 

26 

12.0 

I 

0.02 

21 

15.0 

I 

0,00 

85 

85.0 

6 

38 

1 0.0 

2 

.02 

31 

lO.O 

2 

.00 

25 

15.0 

I 

.02 

84 

84.0 

7 

44 

lO.O 

3 

.00 

Z7 

12.0 

2 

.02 

29 

15.0 

2 

.00 

83 

83.0 

8 

50 

lO.O 

3 

.02 

42 

12.0 

3 

.02 

33 

12.0 

2 

.02 

82 

82.0 

9 

56 

lO.O 

4 

•02 

47 

12.0 

4 

.02 

38 

15.0 

3 

.02 

81 

81.0 

10 

I      2 

8.57 

5 

0.03 

52 

12.0 

5 

0.02 

42 

15.0 

4 

0.00 

80 

80.0 

1 1 

9 

lO.O 

7 

.02 

57 

12.0 

6 

.02 

46 

15.0 

4 

.02 

79 

79.0 

12 

15 

lO.O 

8 

.02 

I     2 

12.0 

7 

.02 

50 

15.0 

5 

.02 

78 

78.0 

13 

21 

lO.O 

9 

•03 

7 

12.0 

8 

.02 

54 

15.0 

6 

.02 

77 

77.0 

14 

27 

lO.O 

II 

.02 

12 

lO.O 

9 

.02 

58 

15.0 

7 

.02 

76 

76.1 

IS 

33 

10.0 

12 

0.03 

18 

12.0 

10 

0.03 

I     2 

15.0 

8 

0.02 

75 

75-1 

i6 

39 

1 0.0 

14 

.03 

2^ 

12.0 

12 

.02 

6 

15.0 

9 

.02 

74 

74.1 

17 

45 

1 0.0 

\6 

.03 

28 

12.0 

13 

.03 

10 

15.0 

10 

.03 

73 

73-1 

i8 

51 

lO.O 

18 

.03 

33 

12.0 

15 

.02 

14 

15.0 

12 

.02 

72 

72.1 

19 

57 

lO.O 

20 

.03 

38 

12.0 

16 

•03 

18 

15.0 

13 

.02 

71 

71.1 

20 

2     3 

lO.O 

22 

0.03 

43 

12.0 

18 

0.03 

22 

15.0 

14 

0.03 

70 

70.1 

21 

9 

lO.O 

24 

.03 

48 

15.0 

20 

.03 

26 

15.0 

16 

.02 

69 

69.1 

22 

15 

12.0 

26 

.°3 

52 

12.0 

22 

.03 

30 

15.0 

17 

•03 

68 

68.1 

23 

20 

lO.O 

28 

.05 

57 

12.0 

24 

•03 

34 

15.0 

19 

.03 

67 

67.1 

24 

26 

lO.O 

31 

.05 

2     2 

12.0 

26 

•03 

38 

20.0 

21 

.02 

66 

66.1 

25 

32 

lO.O 

34 

0.03 

7 

15.0 

28 

0.03 

41 

15.0 

22 

0.03 

65 

65.1 

26 

38 

12.0 

36 

.05 

1 1 

12.0 

30 

.05 

45 

15.0 

24 

.03 

64 

64.1 

27 

43 

lO.O 

39 

•05 

16 

12.0 

33 

.03 

49 

15.0 

26 

.03 

63 

63.x 

28 

49 

12.0 

42 

.05 

21 

15.0 

35 

.03 

53 

20.0 

28 

.03 

62 

62.1 

29 

54 

lO.O 

45 

•°5 

25 

12.0 

37 

.05 

56 

15.0 

30 

•03 

61 

61.1 

30 

3     0 

12.0 

48 

0,05 

30 

12.0 

40 

0.05 

2     0 

15.0 

32 

0.03 

60 

60.1 

31 

5 

lO.O 

51 

.05 

35 

15.0 

43 

•03 

4 

20.0 

34 

•  03 

59 

591 

32 

1 1 

12.0 

54 

.07 

39 

15.0 

45 

.05 

7 

15.0 

30 

,05 

58 

58.1 

33 

16 

12.0 

58 

•05 

43 

12.0 

48 

•05 

II 

20.0 

39 

.03 

57 

57-1 

34 

21 

12.0 

85   I 

.07 

48 

15.0 

51 

•05 

14 

15.0 

41 

.03 

56 

56.1 

35 

26 

12.0 

5 

0.05 

52 

15.0 

54 

0.05 

18 

20.0 

43 

0,05 

55 

55.1 

36 

^1 

12.0 

8 

.07 

56 

15.0 

0.  57 

.05 

21 

20.0 

46 

.03 

54 

54-1 

37 

36 

12.0 

12 

.07 

3     0 

12.0 

86     0 

•OS 

24 

15.0 

48 

•05 

53 

53.1 

38 

41 

12.0 

16 

.07 

5 

15.0 

3 

.07 

28 

20.  c 

51 

.03 

52 

52.1 

39 

46 

12.0 

20 

.07 

9 

15.0 

7 

.05 

31 

20.0 

53 

.05 

51 

Si.i 

40 

51 

12.0 

24 

0.07 

13 

15.0 

10 

0.05 

34 

20.0 

56 

0.05 

50 

50.1 

4i 

56 

12.0 

28 

.07 

17 

15.0 

13 

.07 

37 

15.0 

59 

.Of, 

■\9 

49.1 

42 

4     I 

15.0 

32 

.07 

21 

15.0 

17 

.05 

41 

20.0 

87     2 

•03 

■l« 

48.1 

43 

5 

12.0 

36 

.08 

25 

20.0 

20 

.07 

44 

20.0 

4 

•°5 

47 

47.1 

44 

10 

15.0 

41 

.07 

28 

15.0 

24 

.07 

47 

20.0 

7 

.05 

46 

46.1 

45 

14 

45 

32 

28 

50 

10 

45 

45.1 

a 

60' 

6 

_A 

a 

60' 

6 

A 

a 

6c/ 

b      A 

a 

t 

A 

60' 

A 

6c/ 

A 

60' 

rf  =  8 

4°0' 

d  =  S 

5°0' 

d  =  S 

5°0' 

0.105 


0087 


[Page  315 


V- 

a  =  84°0' 

a=85°0' 

a  =  86°0' 

V 

\" 

„\^ 

\^ 

60' 

\  < 

A 

\  d 

6c/ 

\  t 

A 

\  d 

6c/ 

\  ' 

_A 

A 

B\k 

\ 

A 

z\ 

6c/ 

^     \ 

A 

z\ 

60' 

A  \ 

A 

2\ 

6c/ 

^\ 

A 

o 

0     / 

„  0     ' 

0    / 

„  °      ' 

0     / 

0       / 

0 

45 

4  14 

12.0 

85  45 

0.07 

3  32 

15.0 

86  28 

0.05 

2  50 

20.0 

87  10 

0.0^ 

45 

45*1 

46 

19 

15.0 

49 

.08 

36 

20.0 

31 

.07 

53 

30.0 

13 

■^i 

44 

44.1 

47 

23 

15.0 

54 

.08 

39 

15.0 

35 

.07 

55 

20.0 

16 

■05 

43 

43-1 

48 

27 

15.0 

0.  59 

.07 

43 

20.0 

39 

.07 

58 

20.0 

19 

.05 

42 

42.1 

49 

31 

15.0 

86     3 

.08 

46 

15.0 

43 

.07 

3     I 

20.0 

22 

.07 

41 

41. 1 

50 

35 

15.0 

8 

0.08 

50 

20.0 

47 

0.07 

4 

20.0 

26 

0.05 

40 

40.1 

51 

39 

15.0 

13 

.08 

53 

20.0 

51 

.07 

7 

30.0 

29 

•05 

39 

391 

52 

43 

15.0 

18 

,08 

56 

20.0 

55 

.07 

9 

20.0 

32 

•05 

38 

38.1 

53 

47 

15.0 

23 

.08 

59 

20.0 

0     59 

.07 

12 

30.0 

35 

.07 

37 

371 

54 

SI 

15.0 

28 

.08 

4     2 

20.0 

87     3 

.08 

14 

20.0 

39 

•05 

36 

36.1 

55 

55 

20.0 

33 

0.08 

5 

20.0 

8 

0.07 

17 

30.0 

42 

0.07 

35 

35-1 

56 

58 

15.0 

38 

.08 

8 

20.0 

12 

.07 

19 

30.0 

46 

■05 

34 

341 

5^ 

5     2 

20.0 

43 

.10 

II 

20.0 

16 

.08 

21 

20.0 

49 

.07 

33 

331 

58 

5 

20.0 

49 

.08 

14 

20.0 

21 

.07 

24 

30.0 

53 

.05 

32 

32.1 

59 

8 

20.0 

54 

.10 

17 

20.0 

25 

.08 

26 

30.0 

•56 

•07 

31 

3I-I 

60 

II 

20.0 

87     0 

0.08 

20 

30.0 

30 

0.07 

28 

30.0 

88     0 

0.05 

30 

30.1 

61 

14 

20.0 

5 

.10 

22 

20.0 

34 

.08 

30 

30.0 

3 

.07 

29 

29.1 

62 

17 

20.0 

II 

.08 

25 

30.0 

39 

.08 

3^ 

30.0 

7 

.07 

28 

28.1 

^3 

20 

20.0 

16 

.10 

27 

20.0 

44 

.07 

34 

30.0 

1 1 

.07 

27 

27.1 

64 

23 

20.0 

22 

.08 

30 

30.0 

48 

.08 

36 

30.0 

15 

•05 

26 

26.1 

65 

26 

20.0 

27 

0. 10 

32 

30.0 

53 

0.08 

38 

60.0 

18 

0.07 

25 

25.1 

66 

29 

30.0 

33 

.10 

34 

30,0 

„  58 

.08 

39 

30.0 

22 

.07 

24 

24.1 

67 

31 

20.0 

39 

.10 

36 

30.0 

88     3 

.07 

41 

60.0 

26 

.07 

23 

23.1 

68 

34 

30.0 

45 

.10 

38 

30.0 

7 

.08 

42 

30.0 

30 

.07 

22 

22.1 

69 

36 

30.0 

51 

.08 

40 

30.0 

12 

.08 

44 

30.0 

34 

.07 

21 

21. 1 

70 

38 

30.0 

0  56 

0. 10 

42 

30.0 

17 

0.08 

46 

60.0 

38 

0.07 

20 

20.1 

"I 

40 

30.0 

88     2 

.10 

44 

60.0 

22 

.08 

47 

60.0 

42 

.07 

19 

19. 1 

72 

42 

30.0 

8 

.10 

45 

30.0 

27 

.08 

48 

30.0 

46 

.07 

18 

18. 1 

73 

44 

30.0 

14 

.10 

47 

30.0 

32 

.08 

50 

60.0 

50 

.07 

17 

17.  X 

74 

46 

30.0 

20 

.12 

49 

60.0 

Z7 

.08 

SI 

60.0 

54 

•07 

16 

16.  X 

75 

48 

60.0 

27 

0. 10 

50 

60.0 

42 

0.08 

52 

60.0 

0      58 

0.07 

15 

I5-I 

76 

49 

30.0 

33 

.10 

51 

60.0 

47 

.08 

S3 

60.0 

89     2 

.07 

14 

14.X 

77 

SI 

60.0 

39 

.10 

52 

60.0 

52 

.08 

54 

60.0 

6 

.07 

13 

13.0 

78 

S2 

60.0 

45 

.10 

53 

60.0 

57 

.10 

55 

60.0 

10 

.07 

12 

12.0 

79 

S3 

60.0 

51 

.10 

54 

60.0 

89     3 

.08 

56 

— 

14 

.07 

II 

IX.O 

80 

54 

60.0 

57 

0. 10 

55 

60.0 

8 

0.08 

56 

60.0 

18 

0.07 

ID 

lO.O 

81 

55 

60.0 

89     3 

.12 

56 

60.0 

13 

.08 

57 

60.0 

22 

.08 

9 

9.0 

82 

S6 

60.0 

10 

.10 

57 

60.0 

18 

.08 

58 

— 

27 

.07 

8 

8.0 

83 

57 

60.0 

16 

.10 

58 

— 

23 

.10 

58 

60.0 

31 

•°7 

7 

7.0 

84 

58 

60.0 

22 

.12 

58 

60.0 

29 

.08 

59 

— 

35 

.07 

6 

6.0 

85 

59 

— 

29 

0. 10 

59 

— 

34 

0.08 

59 

— 

39 

0.07 

5 

50 

86 

.  59 

60.0 

35 

.10 

59 

60.0 

39 

.oS 

59 

60.0 

43 

.07 

4 

4.0 

87 

6     0 

— 

41 

.  10 

5     0 

— 

44 

.10 

4     0 

— 

47 

.08 

3 

3-0 

88 

0 

— 

47 

.12 

0 

— 

50 

.08 

0 

— 

52 

.07 

2 

2.0 

89 

0 

— 

54 

.10 

0 

— 

55 

.08 

0 

— 

56 

.07 

I 

I.O 

90 

0 

90     0 

0 

90    0 

0 

90     0 

0 

0.0 

6c/  1 

& 

A 

6c/ 

h 

A 

6(y 

& 

A 

a 

a 

a 

a 

t    — 

A 

(So' 

A 

6cy 

A 

60' 

d       ^ 

d  =  S4>°0' 

(f  =  85'0' 

(^=86°  0' 

Page  316]     0.052 


003s 


0.020 


0.017 


0.000 


t 

a  =  ST"  0' 

a  =  88°  0' 

a  =  88°  50' 

a  =  89°0' 

a  =  90°  0' 

V 

\  <i 

X  t 

\d  \* 

\d 

\  t 

\  d  li\  i 

\d  |\< 

lA 

A\ 

z\ 

^   X  ^  \ 

aXJ 

z\ 

*  \ll  ^  \ 

aXizX 

X 1                N 

e\ 

0 

0     / 

0    / 

0     / 

0     / 

0     ' 

„^     ' 

0     / 

0     / 

0        / 

0     / 

g 

0 

0    0 

87  0 

0    0 

88     0 

0    0 

88  50 

0    0 

89    0 

0       0 

90    0 

90 

I 

3 

0 

2 

0 

I 

SO 

I 

0 

0 

0 

89 

0 

6 

0 

4 

0 

2 

SO 

2 

0 

0 

0 

88 

3 

9 

0 

6 

0 

4 

SO 

3 

0 

0 

0 

fl 

4 

13 

0 

8 

0 

5 

50 

4 

0 

0 

0 

86 

5 

16 

I 

10 

0 

6 

SO 

5 

0 

0 

0 

85 

6 

19 

I 

13 

I 

7 

SO 

6 

0 

0 

0 

^ 

7 

22 

I 

15 

I 

9 

SO 

7 

0 

0 

0 

^3 

8 

25 

2 

17 

I 

10 

SI 

8 

0 

0 

82 

9 

28 

2 

19 

I 

II 

SI 

9 

0 

0 

81 

10 

31 

3 

21 

2 

12 

SI 

10 

0 

0 

80 

1 1 

34 

3 

23 

2 

13 

51 

II 

0 

0 

79 

12 

37 

4 

25 

3 

15 

51 

13 

0 

0 

78 

13 

40 

5 

27 

3 

16 

52 

14 

2 

0 

0 

77 

14 

44 

5 

29 

4 

17 

52 

15 

2 

0 

0 

76 

15 

47 

6 

31 

4 

18 

52 

16 

2 

0 

0 

75 

16 

SO 

7 

33 

5 

19 

52 

17 

2 

0 

0 

74 

17 

53 

8 

35 

5 

21 

S3 

18 

3 

0 

0 

73 

18 

56 

9 

37 

6 

22 

S3 

19 

3 

0 

0 

72 

19 

59 

10 

39 

7 

23 

54 

20 

4 

0 

0 

71 

20 

I      2 

II 

41 

7 

24 

54 

21 

4 

0 

0 

70 

21 

4 

12 

43 

8 

25 

55 

22 

4 

0 

0 

69 

22 

7 

13 

45 

9 

26 

55 

22 

4 

0 

0 

68 

23 

10 

14 

47 

10 

27 

5f 

23 

5 

0 

0 

67 

24 

13 

16 

49 

10 

28 

56 

24 

S 

0 

0 

66 

25 

16 

17 

51 

II 

30 

57 

25 

6 

0 

0 

65 

26 

19 

18 

53 

12 

31 

K 

26 

6 

0 

0 

64 

27 

22 

20 

54 

13 

32 

5^ 

27 

7 

0 

0 

^J 

28 

24 

21 

56 

14 

33 

58 

28 

7 

0 

0 

62 

29 

27 

23 

58 

15 

34 

59 

29 

8 

0 

0 

61 

30 

30 

24 

I     0 

16 

35 

59 

30 

8 

0 

0 

60 

31 

33 

26 

2 

17 

36 

89    0 

31 

9 

0 

0 

5§ 

32 

35 

27 

4 

18 

37 

0 

32 

9 

0 

0 

58 

33 

38 

29 

5 

19 

3S 

I 

33 

10 

0 

0 

57 

34 

41 

31 

7 

20 

39 

2 

34 

10 

0 

0 

56 

35 

43 

33 

9 

22 

40 

3 

34 

II 

0 

0 

55 

36 

46 

34 

II 

23 

41 

3 

3| 

II 

0 

0 

54 

37 

48 

36 

12 

24 

42 

4 

36 

12 

0 

0 

53 

38 

51 

38 

14 

25 

43 

5 

37 

13 

0 

0 

52 

39 

53 

40 

16 

27 

44 

6 

38 

14 

0 

0 

51 

40 

56 

42 

17 

28 

45 

6 

39 

14 

0 

0 

50 

41 

58 

44 

19 

29 

46 

7 

39 

15 

0 

0 

49 

42 

2     0 

46 

20 

31 

47 

8 

40 

15 

0 

0 

48 

43 

3 

48 

22 

32 

48 

9 

41 

16 

0 

0 

H 

44 

5 

50 

23 

34 

49 

10 

42 

17 

0 

0 

46 

45 

7 

53 

25 

35 

50 

1 1 

43 

iS 

0 

0 

45 

t 

a 

h 

a          6 

a 

6 

a          b 

a 

h 

d  =  87°  0' 

6^  =  88°  0' 

rf=88°60' 

J  =  89°0' 

d  =  90°0' 

{Po/ans  inigio) 

When  Polaris'  t  <  90 ' :  L  =  {d  +  B)-  90'. 


0.052 


0035 


0.020 


0.017 


0.000    [Page  317 


K 

a  =  87°  0' 

a  =  88°0' 

a  =88°  50' 

a  =  89°0' 

o  =  90°0' 

\ 

\d:\^ 

\  <i  \  < 

\  <i  '\  * 

\rf  x^ 

\d 

\  * 

A 

A  \I  Z\ 

A\  Z\ 

*  \  -^   \ 

/^N^!Z\ 

A  \l 

Z\ 

"X 

o 

0     / 

«o        ' 

0     / 

0     / 

0     / 

0       / 

0     / 

0     / 

0     / 

0     / 

^ 

45 

^     7 

87  53 

I     2=i 

88   35 

0  50 

89    I  I 

0  43 

S9     !>- 

u     0 

90    0 

4°5 

46 

9 

55 

26 

37 

50 

1 1 

43 

18 

0 

0 

44 

47 

12 

57 

28 

38 

51 

12 

44 

19 

0 

0 

43 

48 

14 

0  59 

29 

40 

52 

13 

4  5 

20 

0 

0 

42 

49 

16 

88     2 

31 

41 

53 

14 

45 

21 

0 

0 

41 

50 

18 

4 

32 

43 

54 

I  =; 

46 

21 

0 

0 

40 

51 

20 

7 

33 

44 

54 

16 

46 

22 

0 

0 

39 

52 

22 

9 

35 

46 

55 

17 

47 

23 

0 

0 

38 

^  '^ 

24 

12 

36 

48 

56 

18 

48 

24 

0 

0 

37 

54 

26 

14 

37 

49 

57 

19 

49 

25 

0 

0 

36 

55 

27 

17 

38 

51 

57 

20 

49 

26 

0 

0 

35 

56 

29 

19 

39 

53 

58 

21 

5c 

26 

0 

0 

34 

57 

31 

22 

41 

55 

59 

22 

5c 

27 

0 

0 

33 

58 

33 

2S 

42 

56 

I     0 

23 

51 

28 

0 

0 

32 

59 

34 

27 

43 

58 

0 

24 

51 

29 

0 

0 

31 

60 

36 

30 

44 

89    0 

I 

25 

52 

30 

0 

0 

30 

61 

37 

33 

45 

2 

I 

26 

52 

31 

0 

0 

29 

62 

39 

35 

46 

4 

2 

27 

53 

32 

0 

0 

28 

63 

40 

38 

47 

5 

2 

28 

53 

33 

0 

0 

""l 

64 

42 

41 

48 

7 

3 

29 

54 

34 

0 

0 

26 

65 

43 

44 

49 

9 

3 

30 

54 

35 

0 

0 

25 

66 

44 

47 

50 

II 

4 

32 

55 

36 

0 

0 

24 

67 

46 

50 

50 

13 

4 

33 

55 

37 

0 

0 

23 

68 

47 

53 

51 

15 

^ 

34 

56 

3^ 

0 

0 

22 

69 

48 

55 

52 

17 

5 

35 

56 

38 

0 

0 

21 

70 

49 

58 

S3 

19 

6 

36 

5f 

39 

0 

0 

20 

71 

50 

89     I 

53 

21 

6 

37 

56 

40 

0 

0 

19 

72 

51 

4 

54 

23 

7 

38 

57 

41 

0 

0 

18 

73 

52 

7 

55 

25 

7 

40 

57 

42 

0 

0 

17 

53 

10 

55 

27 

8 

41 

58 

43 

0 

0 

16 

75 

54 

13 

56 

20 

8 

42 

58 

44 

0 

0 

15 

76 

55 

16 

S6 

31 

8 

43 

58 

45 

c 

0 

14 

77 

55 

19 

57 

33 

8 

44 

58 

46 

0 

0 

13 

78 

56 

23 

57 

3S 

9 

45 

59 

47 

0 

0 

12 

79 

57 

26 

58 

37 

9 

47 

59 

49 

0 

0 

II 

80 

57 

29 

58 

39 

9 

48 

59 

50 

0 

0 

10 

81 

58 

32 

59 

41 

9 

49 

59 

SI 

0 

0 

9 
8 

82 

58 

35 

59 

43 

9 

50 

59 

52 

0 

0 

83 

59 

38 

59 

45 

10 

51 

I     0 

53 

0 

0 

7 

84 

59 

41 

59 

47 

10 

53 

0 

54 

c 

0 

6 

85 

59 

44 

2     0 

5° 

10 

54 

0 

55 

0 

0 

5 

86 

3     0 

47 

0 

52 

10 

55 

c 

56 

c 

0 

4 

87 

0 

51 

0 

54 

10 

5<^ 

0 

57 

0 

0 

3 

88 

0 

54 

0 

56 

10 

58 

0 

58 

0 

0 

2 

89 

0 

57 

0 

58 

lO 

59 

0 

59 

0 

0 

I 

90 
t 

0 

90     0 

0 

90     0 

TO 

90     0 

0 

90     0 

0 

0 

0 

a          6 

a          b 

1 

a 

1' 

a 

6 

a 

h 

d  =  STO' 

rf  =  88°0' 

rf  =  88°50 

d  =  89°  0' 

d  =  9 

0^0' 

1 

{Poparts  inigio) 



When  Polaris'  /  >  90" :  Z.  =  (90°  +  B)-b. 


Page  318] 


TABLE  Vn. 


Change 

!  of  Altitude  per  Minute  of  Arc  of  Hour  Angl 

e. 

r     ^,        A/1                          AlZ 

d  a.Tifl  T 

/  same  name . 

fK90° 

^L>b:    „=-;„=  + 

Ah 
At  ~ 

T  COS. 

LsinZ 

f 

.f>90°  .  .  .:    ,,=  +  ;    ,,    =  + 

AiZ 

At     ~ 

=  T  sin 

L 

d  and  L  contrary  nam« 

;g : 

.,=  -;,.=  +  | 

V 

0° 

^/ 

\ 

5° 

10° 

15° 

20°       25° 

30° 

35° 

40° 

45° 

50° 

55° 

60° 

65° 

70° 

/C, 

z\ 

sin  Z' 

/Z' 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

0° 

o.  oo 

0.00 

0.  00 

0.  00 

0.  00 

0.  00 

0.  00 

0.  00 

0.  00 

0.  00 

0.  00 

0.  00 

0.  00 

0.00 

0.  00 

0° 

2 

•  03 

•03 

•03 

•03 

•03 

•03 

•03 

•03 

■03 

.  02 

02 

.  02 

.02 

.  01 

.  01 

2 

4 

.07 

.07 

.07 

.07 

.07 

.06 

.06 

.06 

•05 

•05 

.04 

.04 

•03 

•03 

.02 

4 

6 

.  10 

.  10 

.  10 

.  10 

.  10 

.09 

.09 

.09 

.08 

.07 

.07 

.06 

•05 

.04 

.04 

6 

8 

•  14 

.14 

.14 

•13 

•13 

•  13 

.  12 

.  II 

.  II 

.  10 

.09 

.08 

.07 

.06 

•OS 

8 

10 

0.17 

0. 17 

0.  17 

0.17 

0.  16 

0.  16 

0.15 

0. 14 

0.13 

0.  12 

0.  II 

0. 10 

0.  09 

0.  07 

0.  06 

10 

12 

.21 

.  21 

.  20 

.  20 

.  20 

•  19 

.18 

•17 

.16 

•15 

•13 

.  12 

.  10 

.09 

.07 

12 

14 

.24 

.24 

.24 

•23 

•23 

.  22 

.  21 

.  20 

.19 

•17 

.  16 

•  14 

.  12 

.  10 

.08 

14 

16 

.28 

.27 

.27 

.27 

.26 

•25 

.24 

•23 

.  21 

.19 

.18 

.16 

.14 

.  12 

.09 

16 

18 

•31 

•31 

•30 

•30 

.29 

.28 

■27 

•25 

.24 

.  22 

.  20 

.18 

•15 

•13 

.  II 

18 

20 

0-34 

0.34 

0.34 

0.33 

0.32 

0.31 

0.30 

0.28 

0.  26 

0.  24 

0.  22 

0.  20 

0.17 

0.  14 

0.  12 

20 

22 

•37 

•37 

•37 

•36 

•35 

•34 

•32 

•31 

.29 

.27 

•  24 

.  21 

19 

.  16 

•13 

22 

24 

.41 

.41 

.40 

•39 

•38 

•37 

•35 

•33 

•31 

.29 

.26 

•23 

.  20 

•17 

•  14 

24 

26 

•  44 

•44 

•43 

.42 

.41 

.40 

•38 

.36 

•34 

•31 

.28 

•  25 

.  22 

.19 

•IS 

26 

28 

•47 

•47 

.46 

•45 

•44 

•43 

.41 

•38 

•36 

•33 

•30 

.27 

•23 

.  20 

.16 

28 

30 

0.50 

0.  50 

0.49 

0.48 

0.47 

0.45 

0.43 

0.  41 

0.38 

0-35 

0.32 

0.  29 

0.25 

0.  21 

0. 17 

30 

32 

•53 

•53 

•52 

•51 

•50 

.48 

.46 

•43 

.41 

•37 

•34 

•30 

.27 

.  22 

.18 

32 

34 

•56 

•56 

•55 

•54 

•53 

•SI 

.48 

.46 

•43 

.40 

•36 

•32 

.28 

.24 

•19 

34 

36 

•59 

•59 

•58 

•57 

•55 

•53 

•51 

.48 

•45 

.42 

•38 

•34 

•29 

•25 

.  20 

36 

38 

.62 

.61 

.61 

•59 

•58 

•56 

•53 

•50 

•47 

•44 

.40 

•35 

•31 

.26 

.  21 

38 

40 

0.  64 

0.  64 

0.63 

0.  62 

0.  60 

0.58 

0.56 

0-53 

0.49 

0.  45 

0.  41 

©•37 

0.32 

0.  27 

0.  22 

40 

42 

.67 

.67 

.66 

•65 

•63 

.61 

•58 

•55 

•  51 

•47 

•43 

•38 

•33 

.28 

•23 

42 

44 

.69 

.69 

.68 

.67 

•65 

•63 

.60 

•57 

•53 

•49 

•45 

•  40 

•35 

•29 

24 

44 

46 

.72 

.72 

•71 

.69 

.68 

•65 

.62 

•59 

■55 

•51 

.46 

.41 

.36 

•30 

•25 

46 

48 

•74 

•74 

•73 

•72 

.70 

.67 

.64 

.61 

•57 

•53 

.48 

•43 

•37 

•31 

•25 

48 

50 

0.77 

0.  76 

0-75 

0.  74 

0.  72 

0.  69 

0.66 

0.63 

0-59 

0.54 

0.49 

0.44 

0.38 

0.32 

0.  26 

50 

52 

•79 

.78 

.78 

.76 

•74 

•71 

.68 

•65 

.60 

•56 

•51 

•45 

•39 

•33 

.27 

52 

54 

.81 

.81 

.80 

.78 

.76 

•73 

.70 

.66 

.62 

•57 

•52 

.46 

.40 

•34 

.28 

54 

56 

•83 

•83 

.82 

.80 

•78 

•75 

.72 

.68 

.64 

•59 

•53 

.48 

•41 

•35 

.28 

56 

58 

•85 

.84 

•83 

.82 

.80 

•77 

•73 

.69 

.65 

.60 

•55 

■49 

.42 

•36 

.29 

58 

60 

0.87 

0.86 

0.85 

0.84 

0.81 

0.  78 

o^75 

0.71 

0.66 

0.  61 

0.  56 

0.  SO 

0.43 

0-37 

0.30 

60 

62 

.88 

.88 

•87 

•85 

•83 

.80 

.76 

•72 

.68 

.62 

•57 

•SI 

•  44 

•37 

•30 

62 

64 

.90 

.90 

.89 

•87 

.84 

.81 

.78 

•74 

.69 

.64 

•58 

•52 

•45 

•38 

•31 

64 

66 

.91 

.91 

.90 

.88 

.86 

•83 

•79 

•75 

.70 

•65 

•59 

•52 

.46 

•39 

•31 

66 

68 

•93 

.92 

.91 

.90 

•87 

.84 

.80 

.76 

•71 

.66 

.60 

•53 

.46 

•39 

•32 

68 

70 

0.94 

0.94 

©•93 

0.  91 

0.88 

0.  S^? 

0.81 

0.77 

0.72 

0.66 

0.  60 

0.54 

0.47 

0.  40 

0.32 

70 

72 

•95 

•95 

•94 

.92 

.89 

.86 

.82 

.78 

•73 

.67 

.61 

•55 

.48 

.40 

■33 

72 

74 

.96 

.96 

•95 

•93 

.90 

•87 

•83 

•79 

•74 

.68 

.62 

•55 

.48 

•41 

•33 

74 

76 

•97 

•97 

.96 

•  94 

.91 

.88 

.84 

•79 

•74 

.69 

.62 

•56 

•49 

•  41 

■33 

76 

78 

.98 

•97 

.96 

•94 

.92 

.89 

•85 

.80 

•75 

.69 

•63 

•56 

•49 

.41 

•33 

78 

80 

0.98 

0.98 

0.97 

0-9S 

0^93 

0.89 

0.85 

0.81 

0.75 

0.  70 

0.63 

0.  56 

0.49 

0.  42 

0.34 

80 

82 

•99 

•99 

.98 

.96 

•93 

.90 

.86 

.81 

.76 

.70 

.64 

•57 

•50 

.42 

•34 

82 

84 

•99 

•99 

.98 

.96 

•93 

.90 

.86 

.81 

.76 

.70 

.64 

•57 

•50 

.42 

•34 

84 

86 

I.  00 

•99 

.98 

.96 

•94 

.90 

.86 

.82 

.76 

•71 

.64 

•57 

•50 

.42 

•34 

86 

88 

I.  00 

I.  CX3 

.98 

•97 

•94 

.91 

.87 

.82 

•77 

•71 

.64 

•57 

•50 

.42 

•34 

88 

90 

I.  00 

I.  00 

0.98 

0.97 

0.94 

0.91 

0.87 

a  82 

0.77 

0.  71 

0.  64 

o^57 

0.  so 

0.42 

0.34 

90 

To  find  -Z7  or  sin  L,  enter  column  L=0°  with  L  instead  of  Z\ 
At 

Ad 
To  find  -TT  or  cos  M  enter  column  L=0°  with  90-M  instead  of  2'. 


TABLE  VIII. 


[Page  319 


Change  of  Azimuth  per  Minute  x>f  Arc 

of  Altitud 

e. 

=  -  tan/i'cotZ^(- 

-  always-wiih.  Z'  less  than  90°). 

0° 

5° 

10° 

15° 

20° 

25° 

30° 

35° 

40° 

45° 

50° 

60° 

70° 

80° 

90° 

Z' 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

0° 

ind. 

o.oo 

0.00 

0.00 

0.00 

0.00 

0.00 

0.00 

0.00 

0.00 

0.00 

0.00 

0.00 

0.00 

0.00 

90° 

2 

CO 

.40 

.20 

•13 

.10 

.07 

.06 

•05 

.04 

•03 

-03 

.02 

.01 

.01 

.00 

88 

4 

OO 

.80 

.40 

.26 

.19 

-15 

.12 

.10 

.08 

.07 

.06 

.04 

•03 

.01 

.00 

86 

6 

oo 

1.20 

.60 

-39 

.29 

-23 

.18 

-15 

-13 

.11 

.09 

.06 

.04 

.02 

.00 

84 

8 

OO 

1. 61 

.80 

•52 

-39 

•30 

.24 

.20 

•17 

.14 

.12 

.08 

•05 

.02 

.00 

82 

10 

oo 

2.02 

1. 00 

0.66 

0.48 

0.38 

0-31 

0.25 

0.21 

0.18 

0.15 

O.IO 

0.06 

0.03 

0.00 

80 

12 

CO 

2-43 

1. 21 

-79 

•58 

.46 

-37 

-30 

•25 

.21 

.18 

.12 

.08 

.04 

.00 

78 

14 

oo 

2.85 

1. 41 

•93 

.69 

•53 

-43 

•36 

•30 

•25 

.21 

.14 

.09 

.04 

.00 

76 

16 

CO 

3-28 

1.63 

1.07 

-79 

.61 

•50 

.41 

•34 

.29 

.24 

•17 

.10 

•05 

.00 

74 

18 

oo 

3-71 

1.84 

1. 21 

.89 

.70 

•56 

.46 

•39 

•32 

.27 

.19 

.12 

.06 

.00 

72 

20 

oo 

4.16 

2.06 

1.36 

1. 00 

0.78 

0.63 

0.52 

0.43 

0.36 

0.31 

C.21 

0.13 

0.06 

0.00 

70 

22 

CO 

4.62 

2.29 

1-51 

I. II 

•87 

.70 

•58 

.48 

.40 

•34 

•23 

•IS 

.07 

.00 

68 

24 

oo 

5-09 

2-53 

1.66 

1.22 

•95 

•77 

.64 

-53 

-45 

•37 

.26 

.16 

.08 

.00 

66 

26 

oo 

5-57 

2.77 

1.82 

1-34 

1-05 

.84 

.70 

•58 

•49 

.41 

.28 

.18 

.09 

.00 

64 

28 

oo 

6.08 

3.02 

1.98 

1.46 

1. 14 

.92 

•76 

•63 

•53 

•45 

•31 

.19 

.09 

.00 

62 

30 

00 

6.60 

3-27 

2.15 

1-59 

1.24 

1. 00 

0.82 

0.69 

0.58 

0.48 

o^33 

0.21 

O.IO 

0.00 

60 

32 

oo 

7.14 

3-54 

2-33 

1.72 

1-34 

1.08 

.89 

•74 

.62 

•52 

•36 

•23 

.11 

.00 

58 

34 

CO 

7.71 

3-83 

2.52 

1.85 

1-45 

1. 17 

.96 

.80 

.67 

•57 

•39 

•25 

.12 

.00 

56 

36 

00 

8.30 

4.12 

2.71 

2.00 

1.56 

1.26 

1.04 

.87 

•73 

.61 

.42 

.26 

•13 

.00 

54 

38 

00 

8-93 

4-43 

2.92 

2.15 

1.68 

^•35 

1. 12 

•93 

•78 

.66 

•45 

.28 

.14 

.00 

52 

40 

oo 

9-59 

4.76 

^■'^3 

2.31 

1.80 

1-45 

1.20 

1. 00 

0.84 

0.70 

0.48 

0.31 

0.15 

0.00 

50 

42 

00 

10.29 

5-II 

3-36 

2.47 

1-93 

1.56 

1.29 

1.07 

.90 

.76 

•52 

■2,3 

.16 

.00 

48 

44 

oo 

11.04 

5-48 

3.60 

2.65 

2.07 

1.67 

1.38 

I-I5 

•97 

.81 

•56 

•35 

•17 

.00 

46 

46 

CO 

11.84 

5-87 

3.86 

2.85 

2.22 

1.79 

1.48 

1.23 

1.04 

.87 

.60 

.38 

.18 

.00 

44 

48 

oo 

12.69 

6.30 

4.14 

3-05 

2.38 

1.92 

1-59 

1.32 

I. II 

•93 

.64 

.40 

.20 

.00 

42 

50 

oo 

13.62 

6.76 

4-45 

3-27 

2.56 

2.06 

1.70 

1.42 

1.19 

1. 00 

0.69 

0.43 

0.21 

0.00 

40 

52 

oo 

14.63 

7.26 

4.78 

3-52 

2.74 

2.22 

1-83 

^•53 

1.28 

1.07 

•74 

•47 

•23 

.00 

38 

54 

oo 

15-73 

7.81 

5-14 

3-78 

2-95 

2.38 

1-97 

1.64 

1.38 

i^iS 

.80 

•50 

.24 

.00 

36 

56 

oo 

16.95 

8.41 

5-53 

4.07 

3.18 

2-57 

2.12 

1-77 

1.48 

1.24 

.86 

•54 

.26 

.00 

34 

58 

oo 

18.29 

9.08 

5-97 

4.40 

3-43 

2-77 

2.29 

1.91 

1.60 

1^34 

.92 

•58 

.28 

.00 

32 

60 

oo 

19. So 

9.82 

6.46 

4.76 

3-71 

3.00 

2-47 

2.06 

^•73 

1^45 

1. 00 

0.63 

0.31 

0.00 

30 

62 

00 

21.50 

10.67 

7.02 

5-17 

4-03 

3-26 

2.69 

2.24 

1.88 

1.58 

1.09 

.68 

■2i 

.00 

28 

64 

oo 

23-44 

11.63 

7-65 

563 

4.40 

3-55 

2-93 

2.44 

2.05 

1.72 

1. 19 

•75 

•36 

.00 

26 

66 

oo 

25.67 

12.74 

8.38 

6.17 

4.82 

3-89 

3.21 

2.68 

2.25 

1.88 

1.30 

.82 

.40 

.00 

24 

68 

00 

28.29 

14.04 

9-24 

6.80 

5-31 

4-29 

3-53 

2-95 

2.48 

2.08 

1-43 

.90 

•44 

.00 

22 

70 

oo 

31.40 

15-58 

10.25 

7-55 

5-89 

4.76 

3-92 

3-27 

2-75 

2.31 

1-59 

1. 00 

0.48 

0.00 

20 

72 

oo 

35-18 

17-45 

11.49 

8.46 

6.60 

5-33 

4.40 

3-67 

3.08 

2.58 

1.78 

1. 12 

1"^ 

.00 

18 

74 

CO 

39.86 

19.78 

13.01 

9-58 

7.48 

6.04 

4-98 

4.16 

3-49 

2^93 

2.01 

1.27 

.61 

.00 

16 

76 

00 

45-84 

22.75 

14.97 

11.02 

8.60 

6-95 

5-73 

4.78 

4.01 

3^37 

2.32 

1.46 

•71 

.00 

14 

78 

OO 

53-77 

26.68 

17-56 

12.93 

10.09 

8.15 

6.72 

5-6i 

4.70 

3^95 

2.72 

1. 71 

•83 

.00 

12 

80 

CO 

64.82 

32.16 

21.17 

15-58 

12.16 

9.82 

8.10 

6.76 

5-67 

4.76 

3-27 

2.06 

1. 00 

0.00 

10 

82 

00 

86.68 

40.3s 

26.56 

19-55 

15.26 

12.32 

10.16 

8.48 

7.12 

5^97 

4. II 

2-59 

1.25 

.00 

8 

84 

oo 

— 

53-96 

35-51 

26.14 

20.40 

16.48 

13-59 

11-34 

9^51 

7-98 

5-49 

3-46 

1.68 

.00 

6 

86 

oo 

— 

8r.io 

53-37 

3929 

30.67 

24-77 

20.42 

17.04 

14.30 

12.00 

8.26 

5-21 

2.52 

.00 

4 

88 

oo 

— 

— 

78.68 

61.41 

49.60 

40.90 

34-13 

28.64 

24.03 

16.53 

10.42 

5-oS 

.00 

2 

90 

oo 

00 

00 

03 

CO 

00 

00 

00 

00 

00 

00 

00 

00 

00 

ind. 

0 

// 

90° 

85° 

80° 

75° 

70° 

65° 

60° 

55° 

50° 

45° 

40° 

30° 

20° 

10° 

0° 

t 

Page  320] 


TABLE  IX. 


For  converting 

Arc  into  Time,  and  the  reverse. 

" 

H.M. 

" 

H.M. 

° 

H.M. 

" 

H.M. 

" 

H.M. 

° 

H.M. 

' 

M.S. 

M.S. 

' 

M.S. 

M.S. 

' 

M.S. 

' 

M.  S. 

" 

S.^ 

" 

s.«s, 

" 

S.A 

S.<\, 

S.  ^ 

" 

S.  ' 

I 

0  4 

61 

4  4 

121 

8  4 

181 

12  4 

241 

16  4 

301 

20  4 

2 

0  8 

62 

4  8 

122 

8  8 

182 

12  8 

242 

16  8 

302 

20  8 

3 

0  12 

63 

4  12 

123 

8  12 

183 

12  12 

243 

16  12 

303 

20  12 

4 

0  16 

64 

4  16 

124 

8  16 

184 

12  16 

244 

16  16 

304 

20  16 

5 

0  20 

65 

4  20 

125 

8  20 

1H5 

12  20 

245 

16  20 

305 

20  20 

6 

0  24 

66 

4  24 

126 

8  24 

186 

12  24 

246 

16  24 

306 

20  24 

7 

0  28 

67 

4  28 

127 

8  28 

187 

12  28 

247 

16  28 

307 

20  28 

8 

0  32 

68 

4  32 

128 

832 

1S8 

12  32 

248 

16  32 

308 

20  32 

9 

0  36 

69 

4  36 

129 

8  36 

189 

12  36 

249 

16  36 

309 

20  36 

lO 

0  40 

70 

4  40 

130 

8  40 

190 

12  40 

250 

16  40 

310 

20  40 

II 

0  44 

71 

4  44 

131 

8  44 

191 

12  44 

251 

16  44 

3" 

20  44 

12 

0  48 

72 

4  48 

132 

8  48 

192 

12  48 

252 

16  48 

312 

20  48 

13 

0  52 

73 

4  52 

133 

8  52 

193 

12  52 

253 

16  52 

3^3 

20  52 

14 

0  56 

74 

4  56 

134 

8  56 

194 

12  56 

254 

16  56 

314 

20  56 

15 

I  0 

75 

5  0 

135 

9  0 

195 

13  0 

255 

17  0 

315 

21  0 

i6 

I  4 

76 

5  4 

136 

9  4 

iq6 

13  4 

256 

17  4 

316 

21  4 

■  17 

I  8 

77 

5  8 

137 

9  8 

197 

13  8 

257 

17  8 

317 

21  8 

iS 

I  12 

78 

5  12 

138 

9  12 

198 

13  12 

258 

17  12 

318 

21  12 

19 

I  16 

79 

5  16 

139 

9  16 

199 

13  16 

259 

17  16 

319 

21  16 

20 

I  20 

80 

5  20 

140 

9  20 

200 

13  20 

260 

17  20 

320 

21  20 

21 

I  24 

81 

5  24 

141 

9  24 

201 

13  24 

261 

17  24 

321 

21  24 

22 

I  28 

82 

528 

142 

9  28 

202 

13  28 

262 

17  28 

322 

21  28 

23 

I  32 

83 

5  32 

143 

9  32 

203 

13  32 

263 

17  32 

323 

21  32 

24 

I  36 

84 

536 

144 

9  36 

204 

13  36 

264 

17  36 

324 

21  36 

25 

I  40 

85 

5  40 

145 

9  40 

205 

13  40 

265 

17  40 

325 

21  40 

26 

I  44 

86 

5  44 

146 

9  44 

206 

13  44 

266 

17  44 

326 

21  44 

27 

I  48 

87 

5  48 

147 

9  48 

207 

13  48 

267 

17  48 

327 

21  48 

28 

I  52 

88 

5  52 

148 

9  52 

208 

13  52 

268 

17  52 

328 

21  52 

29 

I  56 

89 

5  56 

149 

9  56 

209 

13  56 

269 

17  56 

329 

21  56 

30 

2  0 

90 

6  0 

150 

10  0 

210 

14  0 

270 

18  0 

330 

22  0 

31 

2  4 

91 

6  4 

151 

10  4 

211 

14  4 

271 

18  4 

331 

22  4 

32 

2  8 

92 

6  8 

152 

10  8 

212 

14  8 

272 

18  8 

332 

22  8 

33 

2  12 

93 

6  12 

153 

10  12 

213 

14  12 

273 

18  12 

333 

22  12 

34 

2  16 

94 

6  16 

154 

10  16 

214 

14  16 

274 

18  16 

334 

22  16 

35 

2  20 

95 

6  20 

155 

10  20 

215 

14  20 

275 

18  20 

335 

22  20 

36 

2  24 

96 

6  24 

156 

10  24 

216 

14  24 

276 

18  24 

336 

22  24 

37 

2  28 

97 

e  28 

157 

10  28 

217 

14  28 

277 

18  28 

337 

22  28 

38 

2  32 

98 

6  32 

158 

10  32 

218 

14  32 

278 

1832 

338 

22  32 

39 

2  36 

99 

6  36 

159 

10  36 

219 

14  36 

279 

18  36 

339 

22  36 

40 

2  40 

100 

6  40 

160 

10  40 

220 

14  40 

280 

18  40 

340 

22  40 

41 

2  44 

lOI 

6  44 

161 

10  44 

221 

14  44 

281 

18  44 

341 

22  44 

42 

2  48 

102 

6  48 

162 

10  48 

222 

14  48 

282 

18  48 

342 

22  48 

43 

2  52 

103 

6  52 

163 

10  52 

223 

14  52 

283 

18  52 

343 

22  52 

44 

2  56 

104 

6  56 

164 

10  56 

224 

14  56 

284 

18  56 

344 

22  56 

45 

3  0 

105 

7  0 

165 

II  0 

225 

15  0 

285 

19  0 

345 

23  0 

46 

3  4 

106 

7  4 

166 

II  4 

226 

15  4 

286 

19  4 

346 

23  4 

47 

3  8 

107 

7  8 

167 

II  8 

227 

IS  8 

287 

19  8 

347 

23  8 

48 

3  12 

108 

7  12 

168 

II  12 

228 

15  12 

288 

19  12 

348 

23  12 

49 

3  16 

109 

7  16 

169 

II  16 

229 

15  16 

289 

19  16 

349 

23  16 

50 

3  20 

no 

7  20 

170 

II  20 

230 

15  20 

290 

19  20 

350 

23  20 

51 

3  24 

III 

7  24 

171 

n  24 

231 

15  24 

291 

19  24 

351 

23  24 

52 

3  28 

112 

7  28 

172 

II  28 

232 

15  28 

292 

19  28 

352 

23  28 

53 

3  32 

"3 

7  32 

173 

II  32 

233 

15  32 

293 

19  32 

353 

23  32 

54 

3  36 

114 

736 

174 

II  36 

234 

1536 

294 

19  36 

354 

23  36 

55 

3  40 

115 

7  40 

175 

II  40 

235 

15  40 

295 

19  40 

355 

23  40 

56 

3  44 

116 

7  44 

176 

II  44 

236 

15  44 

296 

19  44 

356 

23  44 

57 

3  48 

H7 

7  48 

177 

II  48 

237 

15  48 

297 

19  48 

357 

23  48 

58 

3  52 

118 

7  52 

178 

II  52 

238 

15  52 

298 

19  52 

358 

23  52 

59 

3  56 

119 

7  56 

179 

II  56 

239 

15  56 

299 

19  56 

359 

23  56 

60 

4  0 

120 

8  0 

1 8c 

12  0 

240 

16  0 

300 

20  0 

360 

24  0 

Note.— ■^Tien  turning  seconds  of  arc  into  time,  and  vice  versa,  it  should  be  remembered  that  the  fractions  are  sixtieths;  thus,  the 
value  in  time  of  42"  is  not  2.48  seconds,  but  2-JI  seconds=2'.8. 


o 


A^' 


.  \  UNIVERSITY  OF  CALIFORNIA  LIBRARY 

\  BERKELEY 

Return  to  desk  from  which  borrowed. 
This  book  is  DUE  on  the  last  date  stamped  below. 


LD  21-100m-ll,'49(B7146sl6)476 


YD  267 \5 


380074  ^^u 


f  ' 


UNIVERSITY  OF  CAUFORNIA  LIBRARY 


/ 


t 


ra 


CXBBK 


I 


